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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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