Question 1. Let R be the region below y = 5 x2 and above the x-axis. (a) Find the area of R. (b) Find a positive real number a so that the graph of y = area. ax² + 1 divides the region R into two parts of equal

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Answer Question 1 part a and B and explain all steps and prove that your answer is right
Question 1. Let R be the region below y = 5 x2 and above the x-axis.
(a) Find the area of R.
I
(b) Find a positive real number a so that the graph of y = ax2 + 1 divides the region R into two parts of equal
area.
Question 2. Find the maximum and minimum values of the function
f(x, y) = ln(x² + 1) + ln(y² + 1) −x + y
on and inside the triangle bounded by the points (0,0), (4, 0), and (0, -4).
(Note: You may use a computer to find the roots of polynomials, if necessary.)
80
zoom
MAR
27
A
P
MacBook Air
0
<
DII
Transcribed Image Text:Question 1. Let R be the region below y = 5 x2 and above the x-axis. (a) Find the area of R. I (b) Find a positive real number a so that the graph of y = ax2 + 1 divides the region R into two parts of equal area. Question 2. Find the maximum and minimum values of the function f(x, y) = ln(x² + 1) + ln(y² + 1) −x + y on and inside the triangle bounded by the points (0,0), (4, 0), and (0, -4). (Note: You may use a computer to find the roots of polynomials, if necessary.) 80 zoom MAR 27 A P MacBook Air 0 < DII
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