INSTRUCTIONS: (1) Answer all questions neatly with a blue or black ball point pen/ink pen. (2) Use A4 size white paper to answer the questions. Q1. Find the area of the region enclosed by the two curves, y = 2x² + 3x and y = x² + 5x

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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INSTRUCTIONS:
(1) Answer all questions neatly with a blue or black ball point pen/ink pen.
(2) Use A4 size white paper to answer the questions.
Q1. Find the area of the region enclosed by the two curves, y = 2x² + 3x and y = x² + 5x
Q2. Find the volume of the solid generated by revolving the region between x-axis and the curve
y = x= 2 and x = 4 about x — axis.
Q3. Use the integral test to determine whether the series, En=1
√n+1 is convergent or
divergent.
Q4. Differentiate term by term the power series -(x-7)".
Q5. Solve: = y²(1 + x²), y(0) = 1.
dy
dx
(n+1)√n+1
Transcribed Image Text:INSTRUCTIONS: (1) Answer all questions neatly with a blue or black ball point pen/ink pen. (2) Use A4 size white paper to answer the questions. Q1. Find the area of the region enclosed by the two curves, y = 2x² + 3x and y = x² + 5x Q2. Find the volume of the solid generated by revolving the region between x-axis and the curve y = x= 2 and x = 4 about x — axis. Q3. Use the integral test to determine whether the series, En=1 √n+1 is convergent or divergent. Q4. Differentiate term by term the power series -(x-7)". Q5. Solve: = y²(1 + x²), y(0) = 1. dy dx (n+1)√n+1
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