7.1 Test Prep

Math Response

What is the value

of $$\Delta x$$ ?

Type answer here

Correct Answer: \frac{\pi}{4}

Deg^°

Rad

​Use the number line
to set up your approximation

Multiple Choice

What is the function

of the problem?

• $$f\left(x\right)=x^2$$

• $$f\left(x\right)=\sin x$$

• $$f\left(x\right)=\cos x$$

• $$f\left(x\right)=e^x$$

Multiple Choice

Which expression

is the appropriate

for a left Riemann Sum

on the interval

• $$\frac{\pi}{4}\left(f\left(0\right)+f\left(\frac{\pi}{4}\right)+f\left(\frac{\pi}{2}\right)+f\left(\frac{3\pi}{4}\right)\right)$$

• $$\frac{\pi}{4}\left(f\left(\frac{\pi}{4}\right)+f\left(\frac{\pi}{2}\right)+f\left(\frac{3\pi}{4}\right)+f\left(\pi\right)\right)$$

• $$\frac{\pi}{4}\left(f\left(\frac{\pi}{8}\right)+f\left(\frac{3\pi}{8}\right)+f\left(\frac{5\pi}{8}\right)+f\left(\frac{7\pi}{8}\right)\right)$$

Multiple Choice

Which option is equivalent to our approximation

Open Ended

What does the area under the curve

represent for a rate?

(use the first example in 7.1 to help you)

Multiple Choice

Which is the correct interpretation of the area?

• A

• B

• C

• D

• E

​Use the graph of f'(x) to determine the number of critical points

Multiple Choice

Given f'(x),

how many critical values are there on

the interval [0, 10]

• (A) One

• (B) Two

• (C) Three

• (D) Four

• (E) Six

​Use the graph of y to answer the question.

Open Ended

What does it mean for the tangent line to be parallel with the x axis?

Multiple Choice

How can we find the maximum height?

• Find the area under the curve

• Find when the derivative is zero

• When the avg. rate of change is positive

• When the second derivative is

  negative

Math Response

what is the value of

$$h'\left(t\right)$$ ?

Type answer here

Correct Answer: 100-32t

Deg^°

Rad

Math Response

Solve the equation

$$100-32t=0$$

what is the value of t?

(express as a ratio)

Type answer here

Correct Answer: \frac{100}{32}

Deg^°

Rad

Multiple Choice

Now evaluate

$$h\left(\frac{100}{32}\right)$$

• A) 312.500

• (B) 156.250

• (C) 78.125

• (D) 6.250

• (E) 3.125

​Complete #6-8
Independently