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arlik [135]
3 years ago
9

Find the limit as limit x->0, tan2x/x

Mathematics
1 answer:
kiruha [24]3 years ago
3 0
We are given with the expression <span>tan2x / x</span> and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. The answer is zero over zero. This  is indeterminate so we derive the terms accdg to L'hopital's rule. The derivative is 2 sec^2 2x/1. cos 2x is 1 so is sec^2 2x. Hence the answer is 2.
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Tell whether (1,-1) is a solution of y<br> 9x - 10
posledela

Answer:

yes, it is

Step-by-step explanation:

plug in the point (1, -1) (x,y) into the equation y = 9x - 10

-1 = 9(1)-10

-1 = 9-10

-1=-1

5 0
3 years ago
"What are the three collinear points?<br> "
Fudgin [204]
Three or more points<span> , , , ..., are said to be </span>collinear<span> if they lie on a single straight line.

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The radius of a sphere is multiplied by . What effect does this have on the volume of the sphere? A. The volume of the sphere is
Greeley [361]

Answer:

Option A. The volume of the sphere is multiplied by 1/343.

Step-by-step explanation:

The volume of a sphere can be obtained by the following formula:

V = 4/3πr^3

Let the initial volume (V1) of the sphere be:

V1 = 4/3πr^3 = (4πr^3)/3

Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:

V2 = 4/3 x π x (1/7r)^3

V2 = 4/3 x π x 1/343r^3

V2 = (4πr^3)/1029

Now we determine the ratio of V2 : V1 as shown below:

V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3

V2/V1 = (4πr^3)/1029 × 3/(4πr^3)

V2/V1 = 3/1029

V2/V1 = 1/343

V2 = 1/343 x V1

Therefore, the volume of the sphere is multiplied by 1/343.

3 0
2 years ago
Calculate the surface area of the box<br><br> 6.5 inches by 6 inches by 2 inches
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3 years ago
7-41=<br><br> (-15)+33=<br><br> 62-84=<br><br> (-26)-14=
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Answer:

-34

18

-22

-40

Explanation:

8 0
3 years ago
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