For x² +n +1, neN (the set of natural numbers),2sin(x²-1)-sin 2(x²-1)2 sin(x² − 1) + sin 2(x² −1)the integral fx.(1) loge=sec²(x²-| 1 sec² (x² −1)| + clog/sec²(x²-1)+c(2)(3)1-10g./sec² (²² (2²/2/²) +logc(2²2-¹) +(4) log sec+C-dx is

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Answered: For x² +nr+1, n = N (the set of natural…

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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13. (2 points) Use the properties of logarithms to EXPAND the logarithmic expression √/m³/n 3m² as much as possible: log k a) 3log 5m + 7log n2log k b)log m + logn - 2log sk c) logm 5 ● logn + 2log k 5 5 d) log 5m + logn - log k
*If log(67) + log(y) = log(z), then 67 + y = z. a) True b)False*If ln(67x) = ln (y), then 67x = y. a)True b)False
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…
2. Solve x for each equation. Check for extraneous roots when necessary. a) 9-3*-8=0 b) 25(125)*+2= 625 ¹-x c) Log (x-1) + log (2x -1) = 2log (x + 1)
log3 (x2-2x)=1 a) {-3,1} b) {1} c) {3,-1} d) {3}
Solve the following equations for x

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For x² +nr+1, n = N (the set of natural numbers), 2sin(x²-1)-sin 2(x²-1), sin(x²-1)+sin 2(x²-1)" the integral fx. (1) loge/sec²(x²-1)+c 2 (2) log | sec²(x²-1)- + c (3) loge sec 2 2 (4) loge sec +C 2 12-1¹1) + 0 +C dx is