 # 1. Evaluate sexin(2) d.c. Show your work. 2. Prove that for all p...

## Question

Show transcribed text

## Transcribed Text

1. Evaluate sexin(2) d.c. Show your work. 2. Prove that for all positive integers n = 1,2,3, we have n 1 1 j(j+1) n + 1 j=1 3. Use a Riemann sum to find the area of the trapezoid bounded by the lines y = 0, x = 1, x = 2, and y = x. See Figure 1. (2,2) y=x y (1,1) X (0,0) X=1 X=2 FIGURE 1. A trapezoid. 4. The friends of a popular tour guide, Chris, estimate that, during the standard eight hour tour, Chris smiles at the rate of smiles (30 + 107 cos (t)) hour '. at time t (in hours) in the range OHow many times does Chris smile on the standard tour between hours 2 and 5? 5. Find the area beneath the curve y = recos(x) and above the curve y = (x - sin(x)) ecos(x) over the range 0 < x < TT. See Figure 2. 3 COSCA y= X e 2 1 N (II, II e \ cos(s) (0,0) Yy= (x-suckle m6 ni3 m/2 2m/3 5m/6 11 7m FIGURE 2. Find the area of the region shaded red.

## Solution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

By purchasing this solution you'll be able to access the following files:
Solution.pdf.

\$38.00
for this solution

or FREE if you
register a new account!

PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

### Find A Tutor

View available Calculus Tutors

Get College Homework Help.

Are you sure you don't want to upload any files?

Fast tutor response requires as much info as possible.