1. Find the domain of the following functions: х - 3х -10 a. y = х-5 x+ 5 b. y = - Vx- 5

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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1. Find the domain of the following functions:
x - 3x – 10
a. y =
х-5
x+5
b. y =
Vx- 5
2. Find the indicated limits of the following algebraic and trigonometric functions:
x' -1
.5
+9 - 3
tan a
a. lim
x→1 x-1
b. lim-
a-0 sin (2a)
c. lim
3. Find the derivative of the following functions:
a. f(x) = (x² + 1)(x³ – 2x² – 1)
f(x) =
b.
2 + sin x
4. Find the equation for the line tangent to
a. y= x²- 3 x + 5 at the point (2, 3)
Transcribed Image Text:1. Find the domain of the following functions: x - 3x – 10 a. y = х-5 x+5 b. y = Vx- 5 2. Find the indicated limits of the following algebraic and trigonometric functions: x' -1 .5 +9 - 3 tan a a. lim x→1 x-1 b. lim- a-0 sin (2a) c. lim 3. Find the derivative of the following functions: a. f(x) = (x² + 1)(x³ – 2x² – 1) f(x) = b. 2 + sin x 4. Find the equation for the line tangent to a. y= x²- 3 x + 5 at the point (2, 3)
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