Quiz about Assignments 1

Question 1

Question 1.

Accepted Answer

-6

Answer

2

Answer

4

Answer

-5

Question 2

Question 2.

Accepted Answer

t = 3, 5

Answer

t=2, 3

Answer

t = 1, 3

Answer

t = 4

Question 3

Given the relation $$x^2+xy^2=3$$ , Find dy $$\frac{dy}{dx}$$

Accepted Answer

$$-\frac{y}{2x}$$

Answer

$$\frac{y}{2x}$$

Answer

$$-\frac{2x}{y^2}$$

Answer

$$-\frac{1}{y}$$

Question 4

Choose f(x) and g(x) such that $$fog\left(x\right)=\sqrt[]{x^2+x}$$

Accepted Answer

f(x)= $$\sqrt[]{x}$$ ,

g(x)=( $$x^2+x$$

Answer

f(x)= $$\sqrt[]{x}$$ ,

g(x)= $$\sqrt[]{x^2}$$

Answer

f(x)=x,

g(x)= $$\sqrt[]{x^2+x}$$

Answer

f(x)= $$x$$ ,

g(x)= $$\sqrt[]{x^2}$$

Question 5

If $$F\left(x\right)=\frac{x^2-1}{\left|x-1\right|}$$ , Find the following limits $$\lim_{x\rightarrow1^+}F\left(x\right)$$ , $$\lim_{x\rightarrow1^-}F\left(x\right)$$

Accepted Answer

2 and -2

Answer

1 and -1

Answer

No esits

Answer

1

Question 6

Question 6.

Accepted Answer

Relative minimum at (-1, -4); relative maximum at (1, 4)

Answer

Relative minimum at (-1, -4); relative maximum at (0, 0)

Answer

Relative maximum at (-1, -4); relative minimum at (1, 4)

Answer

None of the other choices is correct

Question 7

The displacement (in feet) of a certain particle moving in a straight line is given by s = t +2t where t is measured in seconds.

Find the average velocity over the interval [1.5, 2].

Accepted Answer

11.25 feet per second

Answer

None of the other choices is correct

Answer

22.5 feet per second

Answer

14 feet per second

Question 8

Find a linear approximation $$f\left(x\right)=\sqrt[]{x-1}$$ for at x = 2.

Accepted Answer

(1/2)x

Answer

x-1

Answer

(1/2)x - (1/2)

Answer

(1/2)x + (1/2)

Question 9

Find the limit $$\lim_{x\rightarrow\infty}\left(\sqrt[]{x^2+bx}-\sqrt[]{x^2+ax}\right)$$

Accepted Answer

(b-a)/2

Answer

(a-b)/2

Answer

-(a+b)/2

Answer

(a+b)/2

Question 10

Find the point on the line y = 10x + 9 that is closest to the origin.

Accepted Answer

(-90/101, 9/101)

Answer

(-90/101, 9/100)

Answer

(-89/101, 9/101)

Answer

(-90/101, 11/101)

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