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You are given the integral 64x2 - 81 dr. I = 6x In order to compute this integral, we may attack this using the substitution a = sec t. a) We start by noting that da = f(t) dt, where %3D f(t) = (enter your answer in valid maple syntax) b) Consequently, the integral can be written in the form I= [olt) dt. g(t) c Type the expression for g in the box below. 9 (t) %3D (enter your answer in valid maple syntax) c) The computation of the integral above results in I = 3/2 tan(t)- 3/2t. In order to write this expression in terms of x, it is convenient to draw a right triangle where t represents one of the acute angles. The lengths of two sides of this triangle are non-constant functions of x and it is given to you that one of these is equal to 8x. The length of the third remaining side is a constant integer. Find this integer and write it in the box below: Number

You are given the integral 64x2 - 81 dr. I = 6x In order to compute this integral, we may attack this using the substitution a = sec t. a) We start by noting that da = f(t) dt, where %3D f(t) = (enter your answer in valid maple syntax) b) Consequently, the integral can be written in the form I= [olt) dt. g(t) c Type the expression for g in the box below. 9 (t) %3D (enter your answer in valid maple syntax) c) The computation of the integral above results in I = 3/2 tan(t)- 3/2t. In order to write this expression in terms of x, it is convenient to draw a right triangle where t represents one of the acute angles. The lengths of two sides of this triangle are non-constant functions of x and it is given to you that one of these is equal to 8x. The length of the third remaining side is a constant integer. Find this integer and write it in the box below: Number

Calculus: Early Transcendentals
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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For the questions below, you will need to use Maple syntax for expressions: Expression How to enter t-2 + t2 V1-2t t^(-2) + t^2 + sqrt ( 1 - 2* 4+5t3 t)/(4+5*t^3) 4e5t 4*exp (5*t) Int = log t = loge t in (t) sin (t), cos (t), tan (t) , sin t, cos t, tan t, sec t, csc t sec (t), csc (t) sin t, cos-lt, arcsin (t), arccos (t), tan arctan (t) Note: the parentheses () must be present in the evaluation of functions, even if just evaluating at t. For instance, it is sin (t), not sin t. Note that you must enter exact answers, for example, for 1/3 do not enter a decimal approximation such as 0.3333333333. For negative denominators you must use brackets, for example, -3/2 or 3/ (-2) but not 3/-2. Enter Pi and exp (1) for T and the Euler number e. You are given the integral 64x2 81 -dx. I = 6x In order to compute this integral, we may attack this using the substitution x = sec t. a) We start by noting that da = f(t) dt, where f(t) = (enter your answer in valid maple syntax) b) Consequently, the integral can be written in the form I = Type the expression for g in the box below. 9 (t) (enter your answer in valid maple syntax) c) The computation of the integral above results in I = 3/2 tan(t) - 3/2t. In order to write this expression in terms of x, it is convenient to draw a right triangle where t represents one of the acute angles. The lengths of two sides of this triangle are non-constant functions of x and it is given to you that one of these is equal to 8x. The length of the third remaining side is a constant integer. Find this integer and write it in the box below: Number
Transcribed Image Text:For the questions below, you will need to use Maple syntax for expressions: Expression How to enter t-2 + t2 V1-2t t^(-2) + t^2 + sqrt ( 1 - 2* 4+5t3 t)/(4+5*t^3) 4e5t 4*exp (5*t) Int = log t = loge t in (t) sin (t), cos (t), tan (t) , sin t, cos t, tan t, sec t, csc t sec (t), csc (t) sin t, cos-lt, arcsin (t), arccos (t), tan arctan (t) Note: the parentheses () must be present in the evaluation of functions, even if just evaluating at t. For instance, it is sin (t), not sin t. Note that you must enter exact answers, for example, for 1/3 do not enter a decimal approximation such as 0.3333333333. For negative denominators you must use brackets, for example, -3/2 or 3/ (-2) but not 3/-2. Enter Pi and exp (1) for T and the Euler number e. You are given the integral 64x2 81 -dx. I = 6x In order to compute this integral, we may attack this using the substitution x = sec t. a) We start by noting that da = f(t) dt, where f(t) = (enter your answer in valid maple syntax) b) Consequently, the integral can be written in the form I = Type the expression for g in the box below. 9 (t) (enter your answer in valid maple syntax) c) The computation of the integral above results in I = 3/2 tan(t) - 3/2t. In order to write this expression in terms of x, it is convenient to draw a right triangle where t represents one of the acute angles. The lengths of two sides of this triangle are non-constant functions of x and it is given to you that one of these is equal to 8x. The length of the third remaining side is a constant integer. Find this integer and write it in the box below: Number
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