Can someone please help with limits, i really don't understand it at all
"If an answer does not exist, enter DNE"
Answers
9514 1404 393
Answer:
-1, -2, DNE2, 0, DNE1Step-by-step explanation:
Occasionally, you're asked about limits at some point where a function is continuous. At such a point, the limit is simply the value of the function.
__
Here, you're asked about limits at values of x where the function has discontinuities. That is, you must lift your pencil when you draw the function graph through that area.
The limit from the left (indicated by a superscript minus sign) is the point you end up at when you follow the graph left to right to the x-value of interest. In this graph, the left-limit at x=0 is -1, and the left-limit at x=2 is +2.
The limit from the right (indicated by a superscript plus sign) is the point you end up at when you follow the graph right to left to the x-value of interest. In this graph the right-limit at x=2 is 0, and the right-limit at x=0 is -2.
When the left- and right-limits are the same, the limit is said to exist. When they are different, we say the limit does not exist.
A function is "continuous" at a point if (a) the limit at that point exists (left- and right-limits are the same), and (b) the function is defined at that point to be the limit value.
Here, you will notice that the function value is the solid dot that is present on the vertical line where the discontinuity occurs. g(0) = -1, g(2) = 1.
__
With these things in mind, we can answer the questions as follows:
\(\displaystyle\text{(a) }\lim_{t\to0^-}g(t)=-1\\\\\text{(b) }\lim_{t\to0^+}g(t)=-2\\\\\text{(c) }\lim_{t\to0}g(t)\quad\text{DNE}\\\\\text{(d) }\lim_{t\to2^-}g(t)=2\\\\\text{(e) }\lim_{t\to2^+}g(t)=0\\\\\text{(f) }\lim_{t\to2}g(t)\quad\text{DNE}\\\\\text{(g) }g(2)=1\)
Related Questions
There are 12 chocolate in a box,3 white,4 milk and the rest dark chocolates.What is the probability that Lily first chooses a dark chocolate from the box
Answers
Answer:
5/12
Step-by-step explanation:
Total chocolate=12
White=3
Milk=4
Dark=x
White+milk+dark=3+4+x
=7+x
12=7+x
x=12-7
x=5
Therefore,
Dark=5
Probability that Lily first chooses a dark chocolate from the box= No. Of dark chocolate/Total no. Of chocolate
=5/12
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
Pls,pls,pls,help me I will give lots of pound 100+ points
Answers
Answer:
3log(10) -2log(5) ≈ 1.60206no; rules of logs apply to any base. ln(x) ≈ 2.302585×log(x)no; the given "property" is nonsenseStep-by-step explanation:
1.The given expression expression can be simplified to ...
3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)
= log(1000/25) = log(40) . . . . ≠ log(5)
≈ 1.60206
Or, it can be evaluated directly:
= 3(1) -2(0.69897) = 3 -1.39794
= 1.60206
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2.The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...
ln(x) = log(x)/log(e) ≈ 2.302585·log(x)
__
3.The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:
\(\log(a)\log(b)=\log(a^{\log(b)})=\log(b^{\log(a)})\)
Numerical evaluation of Mr. Kim's expression would prove him wrong.
log(3)log(4) = (0.47712)(0.60206) = 0.28726
log(7) = 0.84510
0.28726 ≠ 0.84510
log(3)log(4) ≠ log(7)
What is a formula for the nth term of the given sequence? 18 , 21 , 24
Answers
Answer:
3n+15
Step-by-step explanation:
18, 21, 24
+3. +3
3n
18-3=15
3n+15
ITS A SIMPLE 50 POINT QUESTION! PLEASE HELP!
is y = 4 a relation?
Answers
Answer:
Y=4 is a function
Step-by-step explanation:
And to me function is relation
Hope i got this right and have a great day :)
Answer: Yes
Step-by-step explanation:
Yes, y = 4, which is often written as f(x) = 4, is a function that means “take any input, and no matter what it is, produce an output of 4”.
Each square below represents one whole ……. What percent is represents by the shade area ?
Answers
A price was first decreased by 12%, they it was decreased again by an additional 5%. What is the percent of the total de. ease?
Answers
9514 1404 393
Answer:
16.4%
Step-by-step explanation:
Assuming the 5% was taken off of the already-discounted price, then the original price was multiplied by ...
(1 -12%)(1 -5%) = 0.88×0.95 = 0.836 = 1 -16.4%
The total decrease was 16.4%.
A two-child family is selected at random. Let B denote the event that at least one child is a boy, and let D denote the event that
the genders of the two children differ. Find the union of B and D. (1 point)
The union is (bb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is (bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is {bb, bg, gb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of
the second child.
The union is (bb, bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
Answers
With the help of probability we can say that, DUM={GG,BB,GB,BG).
What is Probability?Probability is the concept that describes the likelihood of an event occurring.
In real life, we frequently have to make predictions about how things will turn out.
We may be aware of the result of an occurrence or not.
When this occurs, we state that there is a possibility that the event will occur.
In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence
The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.
hence, DUM={GG,BB,GB,BG)
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5
4
3-
Mark this and return
N
-5-4-3-2-1₁.
24
1+
GAW N
y
+2+
-3
-4
1 2 3 4 5 x
What is the range of the function on the graph?
O all the real numbers
O
all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
O all the real numbers greater than or equal to -3
Save and Frit
Answers
The range of the function on the graph would be: D. all real numbers greater than or equal to 2
How to calculate the function rangeTo obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.
So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.
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(01.06)
Rick is setting up a model train track that is
sono
feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone
pole every
foot apart. How many telephone poles does he need? (Input number values only)
Numerical Answers Expected!
Answer for Blank 1
Answers
Answer:
2
Step-by-step explanation:
2
What is 4/9 increased by 1/3 ?
Answers
Answer:
7/9
Step-by-step explanation:
4/9 + 1/3
*Multiply top and bottom by 3
4/9 + 3/9
= 7/9
Can someone answer this? please
Answers
The Answer Is
C.4x + 5y=3-4x - 3y=1_____________________KAntoneDoix (^_^)what should be added to 5xy to get 9xy
Answers
Hello!
9xy-5xy=4xy
We can add like terms.
Like terms are same variables. Examples:
x+x
Remember:
x+x^2 can't be simplified.
y+x can't be simplified.
Hope it helps!
~Just a determined teen
#CarryOnLearning
\(MysteriousNature\)
The expression 4xy is added to the equation 5xy to get 9xy.
A collection of constants, variables connected using one or more arithmetic operator is called an expression
Example = 4y, 3x+4.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
Here, 4 and 12 are constants and x is variable
The equation can be solved as:
Let t be added to the following equation,
5xy + t = 9xy
Subtract 5xy from both the sides,
t = 9xy - 5xy
t = 4xy
Thus, 4xy is added to 5xy to get 9xy.
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According to this diagram, what is tan 62 degrees ?
Answers
Answer:
According to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.
What is the right angle triangle property?
In a right-angle triangle ratio of the opposite side to the adjacent side is equal to the tangent angle between the adjacent side and the hypotenuse side.
Here, (b) is the opposite side, (a) is the adjacent side, and is the angle made between the adjacent side and the hypotenuse side.
The sides of the triangle are 8, 15, and 17 units long and the measure of the angles of the right angle triangle is 62, 90, and 28 degrees.
Re-draw, the Here in the given triangle, the base is the side which is 15 units long. Re-draw the triangle as shown below.
In the attached triangle below, the opposite side of the triangle is 15 units and the adjacent side of the triangle is 8 units long.
The angle between the opposite side and the adjacent side is 62 degrees. Thus using the right angle triangle property as,
Thus, according to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.
Learn more about the right-angle triangle property here;
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1) A sum of money is divided in the ratio 4:3.If
the larger part is $44 1) What is the small part?
2) What is the total amount? *
Answers
Answer:
Smaller part = $33 and total amount = $77
Step-by-step explanation:
Let the numbers be 4x and 3x.
The larger number is $44
ATQ,
44x = 44
x = 11
(1) Smaller number = 3x
= 3(11)
= 33
(2) Total amount
T = 33+44
T = 77
Hence, this is the required solution.
Find the value of y.
Answers
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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An art supplies store sells boxes that contain colored pencils and markers. Each box has a colored pencil to marker ratio of 5 to 2. Complete the table for the missing number of colored pencils, markers, or total number of colored pencils and markers in each box for sale.
Answers
Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.
How to complete the table of ratios?To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:
Box A
2 markers, 5 pencils.4 markers, 10 pencils.6 markers, 15 pencils.box B
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The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
___ feet, ___ feet, ___ feet
Answers
Answer:
Step-by-step explanation:
Let the other leg = x
x^2 + 4^2 = (3x)^2
x^2 + 4^2 = 9x^2
4^2 = 9x^2 - x^2
16= 8x^2
16/8 = x^2
x^2 = 2
x = sqrt(2)
The lengths of the sides
x = sqrt(2)
other side =4
hypotenuse = 3*sqrt(2)
x = 1.4
other side= 4
hypotenuse = 3*1.4142
hypotenuse = 4.2
Please help answer this
Answers
The specified scale factor of the dilation from S to M is 3/2 therefore, the scale factor of the dilation transformation from M to S is 2/3
What is a dilation transformation?A dilation is a transformation in which the lengths of the sides of the image are increased or decreased in the proportion, specified by a scale factor to the dimensions of the pre-image.
The specified scale factor from triangle S to triangle M = 3/2
3/2 = 1.5
Therefore, the length of the sides of triangle M are 1.5 times the lengths of the sides of triangle S
Let L represent the length of a side of triangle S, we get;
The length of the corresponding side on triangle M = 1.5 × L
The scale factor from triangle M to triangle S is found by taking the ratio of the corresponding sides of triangle S and M as follows;
Scale factor, SF, from M to S = Length of a side on triangle S ÷ Length of the corresponding side on triangle
Therefore;
\(SF = \dfrac{L}{1.5\cdot L} = \dfrac{1}{1.5}\)
1.5 = 3/2, therefore;
\(SF = \dfrac{1}{1.5} = \dfrac{1}{\frac{3}{2} } =\dfrac{2}{3}\)
Therefore, the scale factor from M to S is 2/3
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IREADY AREA QUESTION PLS HELP TYY~!!
A family has a sweet potato pie. The top of the pie is in the shape of a circle with a radius of 4.5 inches. The pie is cut into 10 equal pieces, as shown.
Answers
Answer:
191 i guess
Step-by-step explanation:
πr^2=3.14*4.5^2=63.585
63.585*3(three pieces only)=191 approximately
how much tax would you pay on a new tv that is $899 at best buy if the tax rate is 6.5
Answers
Answer:
How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?. answer choices. $957.44. $840.00. $58.44.
Step-by-step explanation:
7 ( x – 4 ) – 3 = 46
Answers
Answer:
11Step-by-step explanation:
7( x – 4) –3 = 467( x– 4 ) = 46 + 3x – 4 = 49/7x – 4 = 7x = 7 + 4x = 11Answer:
X = 11
Step-by-step explanation:
7( x – 4) –3 = 46
7( x– 4 ) = 46 + 3
x – 4 = 49/7
x – 4 = 7
x = 7 + 4
x = 11
Hope This Help :)
A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?
y = 2x + 6
y = 4x + 6
–y = –2x – 3
–y = –4x + 6
Answers
Answer:
A system of equations has infinitely many solutions when the two lines representing the equations coincide. i.e. the two equations are the same or a multiple of each other.
2y - 4x = 6
2y = 4x + 6
2y = 2(2x + 3)
y = 2x + 3
-y = -(2x + 3)
-y = -2x - 3
Hence the other equation is -y = -2x - 3
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
did it on edg
Skills practice properties of real numbers work sheet
Answers
Honestly. I. Don’t. Really. Know. But. I. Think. It’s 100
290
53
63
Find the area and perimeter of the triangle.
8m
3m
9m
4m
Answers
Answer: Broken Math Problem
Step-by-step explanation:
How many grains of sand are there in 6300kg of sand? Give your answer in standard from
Answers
Answer:
5 g
Step-by-step explanation:
Answer:
16,191,000,000
Step-by-step explanation:
1 kg= 2.57 millions grains of sand
2.57 million*6300= 16,191,000,000
Hi !I need help with this question
Answers
I have doubt it be 270 degrees.
A caterpillar eats 75 leaves in 5 hours. How many leaves will the caterpillar eat in 8 hours if it continues to eat at the same rate?
Answers
15 x 8 = 120
Answer = 120
Translate the following word phrase into an
algebraic expression: nine times the difference
of 5 and y
Answers
Answer:
9 times the difference of y and 5. It breaks down into the parenthetical expression, to find the difference of y and 5, i.e. subtraction. Then multiply that by 9. It should look like this
9(y-5)=x
Step-by-step explanation:
Calculate the side lengths a and b to two decimal places
Answers
Answer:
E
Step-by-step explanation:
using the Sine rule in Δ ABC
\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C
we require to calculate ∠ C
∠ C = 180° - (64 + 85)° = 180° - 149° = 31°
then to find a , using
\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)
\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )
a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )
then to find b , using
\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )
b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )