Review (5.1-5.6, 6.1, 6.2)

# Review (5.1-5.6, 6.1, 6.2) - ReviewforSections5.156,6.1,6.2...

This preview shows pages 1–5. Sign up to view the full content.

Review for Sections 5.1 – 56, 6.1, 6.2 Section 5.1 1. Evaluate ( 29 x x dx - + 5 8 4 7 . 2. Find the function whose tangent line has the slope x - 3 9 4 for each value of x , and whose graph passes through (3, -2). 3. Evaluate x e dx x - - ÷ 8 5 4. Evaluate x dx x x - + ÷ 3 5 3 5 5 7 7 Section 5.2 5. Evaluate x dx x - 5 6 3 4 6. Evaluate ( 29 x x e dx 9 8 1/4/12 Page 1 of 8

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
7. Evaluate the indicated integral: x x dx x x x + + + + + 4 3 5 4 3 12 6 5 10 12 8. Evaluate x dx + ÷ 3 7 3 8 Section 5.3 9. Evaluate ( 29 x - + 5 6 2 7 3 . Express your answer as a decimal. Approximate to one decimal. 10. Evaluate dx x x + - ÷ 5 5 2 8 9 5 . 11. Evaluate x dx x + ÷ + 7 3 4 1 1 5 1/4/12 Page 2 of 8
12. Evaluate dx x + 3 4 1 3 5 2 Approximate your answer to two decimal places. Section 5.4 13. Determine the area of the region bounded by the curves y = 2 + 5x – 2 / 3 x 2 and y = x 2 + 2. f(x)=2+5x-(2/3)x^2 f(x)=x^2+2 x y 14. Sketch the region R and then use calculus to find the area of R . R is the region between the curve y = x 4 and the line y = 15x - 14 for x 0 . f(x)=15x-14 f(x)=x^4 x y 15. Find the Gini index for the given Lorentz curve: L(x) = 0.2x 2 + .25x. 1/4/12 Page 3 of 8

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
16. Find the average value of x x - 3 5 over the interval 1 ≤ x ≤ e 3 Section 5.5 17. At a factory a machine that is t years old is generating revenue at a rate of R’(t) = 20,000 – 50t 2 dollars a year and is generating costs at a rate of C’(t) = 5,000 + 10t 2 dollars a year. [a] What is the useful life of the machine (round to nearest year), and [b] compute the net profit generated by the machine over its useful life. Section 5.6 18. Given an initial population of 2,000,000, a renewal rate R(t) = 500, and a survival function S(t) = e -.03t , where t is measured in months, find T = 18 months. Section 6.1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 8

Review (5.1-5.6, 6.1, 6.2) - ReviewforSections5.156,6.1,6.2...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online