Find the half-range cos and sin expansion of: 0sts p/2) p/2 stsp) f(t) = %3D lo

Q: Find the value of the summation. cos(Tk) = k=0

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Q: The approximation of 1 = f*cos (x5)dx using composite Simpson's rule with n = 3 is: 0.5412 O None of…

A: Option A is correct

Q: A-Show that S 1, L{cos at} s2+a²

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

Q: Transform F(s) (giving you cos 5t + t³

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Q: Use symmetry to evaluate the followingintegrals.

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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: Estimate o cos(x2) dx using (a) the Trapezoidal Rule and (b) the Midpoint Rule, each with n = 4.…

A: Given: ∫01cosx2dx To Estimate: The given integral usinga. Trapezoidal Ruleb. Midpoint Rule

Q: the area outside r = 1 and inside r = 2 cos 0 is

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Q: e n'rdr 17 cos'x Sin 2. 4

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Q: e Suppose flx) = Sin (x) For which value %3D of a, osas T, will f'la) = 0.

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Q: The approximation of the integral f(x-1) cos(x-1) dx using two points Gaussian quadrature formula…

A: Given integral is ∫−11x−12cosx−1dx. We have to approximate the given integral by using two point…

Q: Calculate the length of the path over the given interval. (sin 4t, cos 4t), 0 <t <T

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Q: Evaluate (6+3 cos x) dx using Simpson's 1/3 Rule (n=4). O 12.114624 O 12.42518 O 12.386215 O…

A: Simpson's 1/3 Rule n=4: ∫abf(x) dx≈h3f(x0)+4fx1+2fx2+4fx3+fx4 Where                  h=∆x=b-an

Q: f arctan y dy 3 ¥

A: Given problem:- ∫arctan(y)/y3 dy

Q: and as Use the chain rule to find sin(6) r = st, 0 = s + t3 dz as

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Q: 4. Find the area common to the circler=3 cos 0 and the cardiod r=1+ cos0.

A: Find points of intersection and solve the given problem. A detailed solution is given below.

Q: If z=In/x2+y2 +- tan 2 then the numerical value of + is equal to..... dy? dx

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Q: S= The integral dx can be transformed to which of the following when trigonometric substitution is…

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Q: - Find the area of region A in Figure 19. r=4 cos e r= 1 -1 14 FIGURE 19

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Q: A certain substitution gives S sin³ x cos" x dx = S(u7 – u5) du. What is n?

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Q: The approximation of /= cos(x³ + 5) dx using composite Simpson's rule with n=3 is: 3.25498 0.01259 O…

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Q: du nd az and " if z = 5 tan-'(x)and x = e" + In(v) at tl-

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Q: consider the analog signal x(t) shown below. The Nyquist rate is X(t)=3cos(507t)+sin(200 at) O 200…

A: Nyquist rate

Q: Find the exact lanth of the 4=1n (sec(x)), Odyct3

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Q: 4 Using n = 8 approximate the value of cos (1+ ya) dx using Using Trapezoid rule, and Display the…

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Q: calculate SN given by Simpson’s Rule for the value of N indicated.

A: Given, ∫01cos(x2)dx  and N = 6 Solution: Simpson's rule: Area = ∫abf(x)…

Q: The area between the two loops of the limacon r = 1 + 2 sin 0.

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Q: O Find the inde frinite in tgal 曲 A cos (2¢) df

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Q: The integral O [se Ss S S sec²0 de 1+ tane sece tane de sece - 1 O x dx x²+√√x²-1-1 sine de 1+ cose…

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Q: Suppose that f(t) is the half-wave rectification of sin kt, shown in Fig. 7.5.16. Show that L{f(!)}…

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Q: Plot the following signals in the time range 0sts 30 sec, and determine if these signals are…

A: Solution a: Given x[n]=sin10n Comparing with sinωn So we have ω=10 Since we know ω=2πf⇒10=2πf⇒f=5π…

Q: Compute the following. S3x?cos(x³)dx

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Q: cos? e + cose +1 = 0 [0,2m]

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Q: The integral dx (x²+4)² sec ³0 de sin ²0 de ° csc ³0 de ° Scos²0 do can be transformed to which of…

A: Here we have to transformed the given integral.

Q: 2. Find the area enclosed by T = @ cos 30-

A: We need to find area.

Q: The integral S (A S- (в x dx x² + √√√x²-1- sino do 1 + cos sec²0 do 1+tano " cose de 1-sino sece…

A: Use trigonometric substitution

Q: Look for the smaller loop of the limacon r = a(1+2 cos 0) and solve for its area.

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Q: The integral of the right hand member of the first order LDE A B C с D -2sin³0 3 COS 2 2sin³0 3 sin…

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Q: See image below....

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Q: When J x°cos (x-)dx is evaluated using IBP, the value of J v du is? A - cos (x2) B none of the…

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Q: The area between the two loops of the limacon r = 1+2 sin 0.

A: Question- The area between the two loops of the limacon          r = 1 + 2  sin theta .

Q: The approximation of the integral (x-2) cos(x+ 1) dx using two points Gaussian quadrature formula…

A: To approximate the below integral using two points Gaussian quadrature formula. ∫−11x−22cosx+1dx

Q: Find the tayler seris of f(x)=cos(x+pi/6) centared at a=pi/3

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Q: Consider the function f(t) = 12 cos(40t), where the coefficient of t is in rad/s, and tis in…

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Q: Evaluate the following integral: ∫(cos⁡?)^5 dx    Pie/2 uppper  0 lower Where: sin(pie/2)=cos(0)=1,…

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Q: The approximation of I = cos x? dx using composite Simpson's rule with n-3 is: %3D -1.3201 -1.5463…

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Q: Find the values of z satisfying cos Az = 0 2

A: Result : General Solution of  cosx=0 is x=(2n+1)π2

Q: If V) AT sin (2 Tf t)/(2 TfT), find the energy contained in v (t).

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