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2 years ago

Suppose f(x)=x+2. Find the graph of f(1/3x)

Mathematics

1 answer:

8090 [49]2 years ago

6 0

Answer:

f(x)=x+2.

f(1/3x)=1/3 x+2=(x+6)/3or x/3+2

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Lim x--> 0 (e^x(sinx)(tax))/x^2

Tom [10]

Make use of the known limit,

$\displaystyle\lim_{x\to0}\frac{\sin x}x=1$

We have

$\displaystyle\lim_{x\to0}\frac{e^x\sin x\tan x}{x^2}=\left(\lim_{x\to0}\frac{e^x}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin^2x}{x^2}\right)$

since $\tan x=\dfrac{\sin x}{\cos x}$ , and the limit of a product is the same as the product of limits.

$\dfrac{e^x}{\cos x}$ is continuous at $x=0$ , and $\dfrac{e^0}{\cos 0}=1$ . The remaining limit is also 1, since

$\displaystyle\lim_{x\to0}\frac{\sin^2x}{x^2}=\left(\lim_{x\to0}\frac{\sin x}x\right)^2=1^2=1$

so the overall limit is 1.

4 0

3 years ago

help pleaseeeeee!!!!!!!!!! How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?

vodka [1.7K]

Answer:

Step-by-step explanation:

As you can see the top - view is a rectangle of 2 by 9 dimensions. Respectively the right - side view is a rectangle of 2 by 4 dimensions. The common dimension among both rectangles would be 2, making this rectangular prism have dimensions 2 by 4 by 9.

Therefore the rectangular prism will have a volume of 2 $*$ 4 $*$ 9

2 $*$ 4 $*$ 9 = 8( 9 ) = 72 cubic units

Solution : 72 unit cubes

6 0

3 years ago

Solve for brainliest

Nuetrik [128]

Answer:

A ≈ 78.5

Your answer was wrong because it said to round to the nearest tenth.

Step-by-step explanation:

First, to find the area of a circle, you need the radius or diameter of a circle. You can see that the radius is 5 (counting the units from E directly horizontal to the edge of the circle).

Area of a circle is:

A = πr²

A = π (5)²

Following PEMDAS (order of operations), you would do the exponent first:

A = π (25)

A ≈ 78.5

3 0

2 years ago

Read 2 more answers

Solve for x: 150=50e^7x

Mademuasel [1]

Answer: