1)a) What is the area under the curve y = 2³ and above the x-axis between z = 1 and 2 = 3? What is the area under the curve y=z-2² and above the x- axis?

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...
Question
1)a)
What is the area under the curve y = x³ and above the x-axis
between x = 1 and x = 3?
What is the area under the curve y = 1- 2² and above the x-
axis?
1)b)
What is the area of the region bounded between the curves
y = 6x² and y = 4x?
What is the area of the region bounded between the curves
y = x and y = √√√?
1) c)
For the same curve as in the video, what is the slope of the
tangent line at the point (16,-4)? SLOPE =
Using the process in the video as a guide, use implicit
dy
differentiation to find for the curve y³ = z. Express the
dx
derivative in terms of y.
dy
da
For the curve y³ = x, find the slope of the tangent line at the
point (8, 2). SLOPE =
Transcribed Image Text:1)a) What is the area under the curve y = x³ and above the x-axis between x = 1 and x = 3? What is the area under the curve y = 1- 2² and above the x- axis? 1)b) What is the area of the region bounded between the curves y = 6x² and y = 4x? What is the area of the region bounded between the curves y = x and y = √√√? 1) c) For the same curve as in the video, what is the slope of the tangent line at the point (16,-4)? SLOPE = Using the process in the video as a guide, use implicit dy differentiation to find for the curve y³ = z. Express the dx derivative in terms of y. dy da For the curve y³ = x, find the slope of the tangent line at the point (8, 2). SLOPE =
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