Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:2. Find numbers a and b
3. Find lim sin 3x
sin 5x
x→0
X
X-0
11. Derivatives and their applications
4. Find the derivative of f(x) = (secx + tanx)³
5. Calculate yl. sin(xy) = x²-y
6. A boy is flying a kite that is 200ft above ground. The wi
rate of 20ft/s. How fast must he let out the string when th
III. Integrals and their applications
7. Evaluate the integral. x -21dx
x+1
dx
√x²
8. Evaluate the integral. ₁+ 2x
9. Evaluate the integral. *(1 + tant)³ sec²tdt
10. Use the washer (disk) method to find the volume of the so
given curves about the specified axis. y = x² + 1, y = 9-
11. Use the method of cylindrical shells to find the volume ge
curves about the y-axis. y = 4x - x², y = x
IV. Graphing
12. Graph. Use the first and second derivative. f(x) = x√2+
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