Use Simpson's rule with n = 6 to approximate cos(x) rp-

Q: The lowest point on the graph of y = cos x, 0sxs21, occurs when x=

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Q: Evaluate e sin x cos x dx using Simpson rule with h 20

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Q: Explain how to find ∫ cos15 x dx without actually integrating.

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Q: evaluate using the appropriate method or combination of methods.

A: Use 2sinA*cosB=sin(A+B)+sin(A-B) formula

Q: Find the indefinite integral. ∫cos3 x sin4 x dx

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Q: Evaluate∫cos 6x dx without using the substitution method.

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Q: Use TWO different methods to find the PS of the IVP: sin x + y cOs x = 0 ( y(7/2) = 2020

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Q: Use the trapezoidal rule with n = 5 to approximate 3 cos(x) -dx Keep at least 2 decimal places…

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Q: evaluate using the appropriate method or combination of methods.

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Q: Evaluate cos √6x dx using a substitution followed by integration by parts.

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Q: Find the value of u in the interval 30°, 90°4 in decimal degrees, if sin u = 0.27843196. Give the…

A: sin u=0.27843196⇒ u=sin-1(0.27843196) Now by using a calculator, we have…

Q: Use Simpson's rule with n = 4 to approximate cos(x) dx 1

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Q: Show that L-1{ = (sin hat sin at) s4+4a4, 2а2

A: To find Inverse Laplace transform of ss4+4a4: write ss4+4a4 as  ss2+2a22-2as2 Then the denominator…

Q: Find integral.

A: We have to find the integral I=∫cos(5x) dx

Q: Use the trapezoidal rule withn = 4 to approximate 5 cos(x) -dx- Keep at least 2 decimal places…

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Q: Use linear approximation or differentials to approximate cos (1.6)

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Q: .Find a reduction formula for ea* sin" x dx. Hence evaluate e* sin x dx. 3

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Q: 1. Differentiate the function. y = In(VT sin-(5æ))

A: As per our guide lines we can answer only 1 question. Kindly post the other question seperately.…

Q: Find y': y = ar cos

A: The given function,  y=ar cosx3

Q: (3) Estimate the error involved in using the approximation cos x = 1- for |x| < 0.01

A: To estimate the error involved in using the approximation cosx≈1-x22 for x≤0.01 The Taylor series…

Q: Find the approximate value of cos59 with the help of differential. w

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Q: The value of integral (cos(4x)+cos(81)) dx

A: We have to determine the integral

Q: 10 Use Simpson's Rule with n = 8 to approximate f cosx dx. 2

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Q: If f(x) Files = Time left 0:5 sin²x and g(x) = 1 + cos²x, how are f'(x) and g'(x) related? Maximum…

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Q: Evaluate 1 ei sin x cosx dx using Simpson rule with h = 20

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Q: f'(t) = sin 8t - cos -/-

A: You are correct

Q: Use the trapezoidal rule with n = 5 to approximate cos(x) -dr Keep at least 2 decimal places…

A: The trapezoid rule is

Q: Compute coshx and tanhx, assuming that sinhx = 0.8.

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Q: Find the indefinite integral. ∫cos5 x sin x dx

A: ∫cos5x sinx dx Put, cosx=t⇒-sinx=dtdx⇒-sinx dx=dt⇒sinx dx=-dt

Q: Find the indefinite integral. | x cos 9x² dx

A: Given : ∫xcos(9πx2)dx

Q: Use the trapezoidal rule withn = 5 to approximate 4 cos(x) -dx

A: To approximate : ∫14cosxxdx using Trapezoidal rule with n=5

Q: Use Simpson's rule with n = 4 to approximate 3 cos(x)

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Q: Q4: To evaluate the integral cos x dx using the reduction formula of cosine function

A: We know that reduction formula for  ∫cosndx=1ncosn-1(x)sin(x)+n-1n∫cosn-2(x)dx Now we will solve…

Q: Evaluate the integral. ∫ Cos2 x Sin2x dx

A: Given :           ∫cos2x sin2x dx

Q: Use Simpson's rule with n = 4 to approximate cos(r) -dx Keep at least 2 decimal places accuracy in…

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Q: Describe the method used to integrate sinm x cosn x, for m even and n odd.

A: Method to integrate sinmx cosnx ,for m even and n odd. Let m=2k and n=2k+1 ∫sinmxcosnx…

Q: The integral S sine de 1+ cose sec²0 de 1+ tan cose de 1-sine sece tane de sece-1 S x dx x²+√√x²-1-1…

A: dsecθdθ= sec θ.tan θ

Q: Evaluate integral 0 to pie sin 2 x cos 4 x dx

A: To Evaluate the integral given below:-I=∫0πsin2(x)cos4(x)dx

Q: Use the trapezoidal rule with n = 4 to approximate cos(x) de Keep at least 2 decimal places accuracy…

A: Given that: ∫14cosxxdx and n=4

Q: Use the trapezoidal rule with n = 8 to approximate cos(x) -dx Keep at least 2 decimal places…

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Q: do sin 0 – cos 0 cos 0

A: The given integral is ∫dθsinθ-cosθ

Q: Find the indefinite integral ∫sinx / cos3x dx

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Q: Find the extreme value/s of f(x) = 4 sin² x − cos 2x on . (³347) 3π 5π 2' 2

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Q: Evaluate 1) S sin ³x cos³x dx

A: Given: ∫sin3(x)cos3(x) dx

Q: The approximation of 1 = f*cos(x³ - dx using composite Simpson's rule with n= 3 is:

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Q: Use a linear approximation of f(x)=cos(x) at x=5π/4 to approximate cos(222∘)

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Q: Find the indefinite integral  ∫sin3 x cos2 x dx

A: We have to find the indefinite integral ∫sin3 x cos2 x dx

Q: Evaluate integral 0 to pie sin 2 x cos 3 x dx

A: Explanation: Given that,  ∫0πsin2xcos3xdx   Formula Used: Trig. identity:1-sin2x=cos2xSum rule of…

Q: Compute f sin(cos(x²)) sin(x²)x dx

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