Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
Related questions
Question
![1) Using the formula: cos(x + y)
1+cos 2 x
= cos x cos y - sin x sin y, prove in steps
that: cos? x =
2
2) Find in steps: lim x2 sin-
-x + 1,x 2 0
3) Let f (x) =
sin x
(a) Find left-hand and right-hand limits as "x" approaches "zero".
(b) Does lim f(x) exist? Why?
X--0
4) Find an equation of the line through the point (3, 2) that is parallel to the line
2x + y +5 = 0.
5) Find the vertex, x-intercepts, and y-intercept, and graph the equation
y = -x? + x + 4.
6) What is the domain and associated range of y = v8 + x3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8b6954d-d2fe-42d2-b751-4214660ddaf7%2F9a2ac374-68d6-4c78-99fc-46e1c38c8c51%2Fyxw4t3p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) Using the formula: cos(x + y)
1+cos 2 x
= cos x cos y - sin x sin y, prove in steps
that: cos? x =
2
2) Find in steps: lim x2 sin-
-x + 1,x 2 0
3) Let f (x) =
sin x
(a) Find left-hand and right-hand limits as "x" approaches "zero".
(b) Does lim f(x) exist? Why?
X--0
4) Find an equation of the line through the point (3, 2) that is parallel to the line
2x + y +5 = 0.
5) Find the vertex, x-intercepts, and y-intercept, and graph the equation
y = -x? + x + 4.
6) What is the domain and associated range of y = v8 + x3
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