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Butoxors [25]
2 years ago
13

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:

72

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:

A

Step-by-step explanation:

150 = 50 {e}^{7x}  \\  50{e}^{7x}  = 150 \\  {e}^{7x}  =  \frac{150}{50}  \\  {e}^{7x}  = 3 \\  ln{e}^{7x}  =  ln(3)  \\ 7x =  ln(3)  \\ x =  \frac{ ln(3) }{7}

7 0
3 years ago
Need answer please hurry
Inga [223]

Answer:

Step-by-step explanation:

A.

5 0
3 years ago
Read 2 more answers
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