Quiz about Repaso Examen final

Question 1

Encuentre el valor de $$\lim_{x\rightarrow\infty}\left(\frac{5x^3-25x+1}{3-2x^2-15x^3}\right)$$

Accepted Answer

-1/3

Answer

1/3

Answer

5

Answer

0

Question 2

encuentre la integral de $$\int\ e^{-3x}\cos\left(5x\right)dx$$

Accepted Answer

$$\frac{5e^{-3x}sen\left(5x\right)}{34}-\frac{3e^{-3x}\cos\left(5x\right)}{34}+C$$

Answer

$$\frac{5e^{-3x}sen\left(5x\right)}{34}$$

Answer

$$\frac{5e^{-3x}sen\left(5x\right)}{34}-\frac{3e^{-3x}sen\left(5x\right)}{34}+C$$

Answer

$$\frac{5e^{-3x}sen\left(5x\right)}{3}-\frac{e^{-3x}sen\left(5x\right)}{4}+C$$

Question 3

El valor de $$\lim_{x\rightarrow0}\frac{\left(x-5\right)^2-25}{x}$$

Accepted Answer

-10

Answer

$$\infty$$

Answer

0

Answer

5

Question 4

El valor de $$\lim_{x\rightarrow2}\left(\frac{\sqrt[]{x+7}-3}{x-2}\right)$$

Accepted Answer

$$\frac{1}{6}$$

Answer

$$\frac{7}{3}$$

Answer

$$-\frac{1}{9}$$

Answer

$$\frac{5}{3}$$

Question 5

Encontrar el valor de $$\lim_{x\rightarrow\infty}\left(\frac{5x}{4+x^2}\right)$$

Accepted Answer

0

Answer

$$\infty$$

Answer

$$-\infty$$

Answer

5

Question 6

Encuentra la segunda derivada de $$f\left(x\right)=e^{-5x}-\cos\left(7x+1\right)$$

Accepted Answer

$$25e^{-5x}+49\cos\left(7x+1\right)$$

Answer

$$-5e^{-5x}-7\cos\left(7x+1\right)$$

Answer

$$e^{-5x}+\left(7x+1\right)\cos\left(7x+1\right)$$

Answer

$$e^{-5x}-sen\left(7x+1\right)$$

Question 7

La primera derivada de $$x^3+8y=-5y^2+3$$

Accepted Answer

$$-\frac{3x^2}{8+10y}$$

Answer

$$\frac{-x^2}{5+4y}$$

Answer

$$\frac{3x^2}{8+10y}$$

Answer

$$\frac{-4x^2}{8+5y}$$

Question 8

la derivada de $$f\left(x\right)=\cot\left(x\right)$$ , recuerde que $$\cot\left(x\right)=\frac{sen\left(x\right)}{\cos\left(x\right)}$$

Accepted Answer

$$-\csc^2\left(x\right)$$

Answer

$$ an\left(x ight)$$

Answer

$$\frac{sen\left(x\right)}{\cos\left(x\right)}$$

Answer

$$-\csc\left(x\right)\cot\left(x\right)$$

Question 9

La derivada de $$f\left(x\right)=\frac{2-5x}{4+7x}$$

Accepted Answer

$$\frac{-34}{\left(4+7x\right)^2}$$

Answer

$$\frac{43}{\left(4+7x\right)^2}$$

Answer

$$\frac{4x+1}{\left(4+7x\right)^2}$$

Answer

$$\frac{-3+x}{\left(4+7x\right)^2}$$

Question 10

Encuentra la derivada de $$f(x)=x^5e^{-5x}$$

Accepted Answer

$$5x^4e^{-5x}\left(1-x\right)$$

Answer

$$-25x^4e^{-5x}$$

Answer

$$-20x^4e^{-5x}$$

Answer

$$5x^4-5e^{-x}$$

Question 11

La novena derivada de $$y=5x^8-4x^6+7x^3-4x+2$$

Accepted Answer

0

Answer

8

Answer

x

Answer

201600

Question 12

Encuentre $$\int\ x^2sen\left(x\right)dx$$

Accepted Answer

$$-x^2\cos\left(x\right)+2xsen\left(x\right)+2\cos\left(x\right)\ +C$$

Answer

$$-x^2\cos\left(x\right)+2\cos\left(x\right)\ +C$$

Answer

$$2xsen\left(x\right)+2\cos\left(x\right)\ +C$$

Answer

$$-x^2\cos\left(x\right)+2xsen\left(x\right)+C$$

Question 13

Encuentra el valor de la integral $$\int\ \frac{\left(\ln\left(x\right)^4\right)}{x}dx$$

Accepted Answer

$$\frac{\left(\ln\left(x\right)^5\right)}{5x}+C$$

Answer

$$\frac{\left(\ln\left(x\right)^5\right)}{7x}+C$$

Answer

$$\frac{4\left(\ln\left(x\right)^3\right)}{5x}+C$$

Answer

$$\frac{\left(\ln\left(x\right)^5\right)}{5x}$$

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