EX=8 x[n]y[n] In the formula, Norm_Corr:y , the term EN-dx²[n] is said to be related to the , -of x[n] ENd x²[n] EN=d y²[n] Power Samples O Energy • Amplitude

Q: A force of F (x) = x² – cos (5x) + 3 where X is in meters, acts on an object. How much work (in J)…

A: Topic: application of integration

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Q: 8) A functrin fux) io de finied as fohons, ex'-18 for * +3 x - 3 for x= 3 Find the value of k so…

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Q: 9] Expression for R(x) in f(D)y = R(x) which is solvable by the method of %3D undetermined…

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Q: Suppose z and y are funetions of time and satisfy the formula e sin y = In y + tan dy Write a…

A: Solution:- differentiate with respect to t.

Q: Example f:[-l,l>iR Such Hhet f is continuons, But has unbounded Elsi] 3 pr Give an (3) Variatien on

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Q: 8. Determine the value of n and h required to approximate r2 1 -dx x + 4 to within 10-3 and compute…

A: The value of h and n

Q: Consider the function f(x) = - cos x + sin? r on the interval 0, |. 2 (a) Find the critical numbers…

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Q: Detemine the possible root of f(x) = 7esinx initial guess of xo = 0.90 with dk < 0.001. (10 points)…

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Q: 8 sin? a 00 i. x2 + 5 xp-

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Q: We have f(x): f(x) = {sin2x 0 >ܝ TT 2 <x< O. W. a)find the coefficients and show that Vx € [-^,^]:…

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Q: 1. a) For 0<x<1, show that /2 1+ x b) Use the estimate in a) and integrate it to prove that 1 1 -dx…

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Q: r19 Approximate cos(x² +1)dx using a right Riemann sum with n= 2000. J2

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Q: The height of a ball t seconds after it is thrown upward from a height of 7 feet and with an initial…

A: Please see the explanation below

Q: In solving the antiderivative of f(x) =- 2- sin(x) by miscellaneous substitution, the substitution…

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Q: Q8. Using Bisection method Find the root of the following equation in the interval of [0,3].…

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Q: Q.: Find the radius oP- and the interva l Co nvergence of Gnvergen ce (x-2)" Incn+4)

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Q: The Simpson's approximation for g(x)= e* on the interval [-2,0] using 2 subintervals 1 4 1 is + 2 +…

A: The given function is: g(x)=exThe Simpson's approximation of g(x) on the interval [-2, 0] is:…

Q: (a) Use the Trapezoidal Rule, with n = 5, to approximate the integral f 6 cos(4x)dx. T5 (b) The…

A: According to our guidelines , we can answer only first three sub-parts. Kindly re-post other…

Q: 1 |Using u-substitution we find that In(2x + 1) dx In?(3) 2x + 1 JO

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Q: 6- What is the arclength of the function y = 7x + 2 on the interval [2,6]? a) O /2 90406 b) O 20 c)…

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Q: S(2- sec?r) elnale sec'x sec( 3A – x) What should be the value of A for - dx to be integrable using…

A: The given question has been solved in detail and option C is the correct answer.

Q: . Find the polynominal of degree 9 centered at 0 that best approximates f(x) =ln(x3+5) b. Now use…

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Q: Use the variation of parameters to find the general solution of the following ODE. z'' + z = tan2 x

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Q: 5. Evaluate the integral A by Simpsons rule with 2m = 8, and compare your result with the exact…

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Q: 8. The frame of the dome in the diagram below must be covered in canvas. The dome is shaped by…

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Q: 2. Verify that the Mean Value Theorem (MVT) applies to the function f(z) = sin² z- on the interval ,…

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Q: Find the critical numbers of the function on the interval 0 < 0 < 2n. f(8) = 2cos(0) + sin?(0)…

A: Critical number

Q: What is the trigonometric substitution that you would use to evaluate the integral S V5x2 + 10x +…

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Q: 1₁ (16-x²) dx -1 What is the approximate area of the given function using the Right Riemann Sum…

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Q: Q2// Given that oc= = sec-(-V13/2), find sin x, cos x, tan ox, csc o and cot x.

A: Given: write as Formula used

Q: If fiß->(0,4) and I 9s an interval on which fhas both values, then t has Oi discontinutty 9n I,

A: Consider the given information. f:R→0,1 As given I is an interval on which f has both values. If f…

Q: The initial heat profile of a zero degree bordered rod of length L= 2 m is f(x) = 88°C, 0< x< 2.…

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Q: Find the positive root of f(x) = xe* - cos(x) The bisection method, b) the false-position the secant…

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Q: Find the extrema of the given function f(x, y) = 6 cos(x² - y²) subject to x² + y? = 1. (Use…

A: Given f(x,y)=6cosx2-y2 subject to x2+y2=1

Q: Q2 Show that the region included between the cardioids r=a (1+ cos 0) r = a (1- cos 0) is given by:…

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Q: Q3) for f(t) = sec-(6t- 1) and g(t) = tan (6t - 1) show that s'() = g'(t). %3D

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Q: Consider the ODE y' + tan(ax)y = sin(ax), where a is a nonzero real number. Find an integrating…

A: “Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: Q2) A: If u = sin-()+ tan-(), prove that du ди x=+y дх ду = 0 ax ay n lim (1+ (1 + iV3)10 B: Find:…

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Q: Evaluate S x(x + 2)2 dx by two methods: (a) Expand (x² + 2)? and multiply the result by x; (b) let u…

A: Given : integral of x(x² + 2)² dx

Q: Consider the error formulas. (b – a)3 12n2 JE| S -[max |f"(x)|], a < x s b Trapezoidal Rule (b - a)°…

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Q: How many iterations is needed in order to solve for one real root of f (x) = x + x2 – lusing…

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Q: The initial heat profile of a zero degree bordered rod of length L = 2 m İis f(x) = 88°C, 0 < x < 2.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: How many iterations is needed in order to solve for one real root of f (2) = 2 + 2 - lusing…

A: Given- f(x)=x3+x2-1 To find the number of iterations needed to solve root of the given function…

Q: Sind for fca)= Sど+る)(コxー4) by Loyari thim differendional. use

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Q: (2– sec?x) eln czle). sec (3A – x) sec³x -dx to hat should be the value of A for be integrable using…

A: we have to find the value of A.

Q: (2– sec?x) eln (xle) sec(3A – x) 'sec³x What should be the value of A for to be integrable using the…

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Q: : [ (2- sec?x) lm sec(3A – x) e In (ale) sec3r What should be the value of A for dr. to be…

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Q: 5 find aroot of the eqution f(x)=x²-4 Sinx = 0 using the 2 Newton-Raphson, Xo = 3,6=0.0005

A: Given equation is f(x)=x2-4sin(x) Initial approximation is x0=3 Now f'(x)=2x-4cos(x) formula for…

Q: S(2- sec?x) eln ale)sec³x sec( 3A – x) What should be the value of A for dr to be integrable using…

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