2. By writing /12 = (7/3)-(7/4) and considering e/12,evaluate cot(7/12) and tan(z/12).

Q: 1- Compare the results of the closed and open Newton-Cotes formulas when approximating a) x In x…

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Q: Find the four values of t between -2π and 2π at whichsin t = cos t

A: Our Aim is to find the four values of t between -2π and 2π at which sin (t)= cos (t)

Q: Compute the following: e) dx (2019 + seC x tan x (b)() dr

A: a) The given integral is evaluated as follows.

Q: 3. Evaluate in terms of gamma function: T'e

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Q: Eliminate the parameter t from the following. x = cos t − 2, y = sin t + 5

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Q: Calculate the approximation for the given function and interval.

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Q: The coefficient of Sin(x) in the antiderivative of F(x) =| cos is 17/16

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Q: 1.4 1. Calculate an approximate value of the integral So5 (sinx – Inx + e*) dx by dividing the…

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Q: 29. From the following table, estimate the value of tan 16° using appropriate formula 0° 5⁰ 10⁰ 15⁰…

A: We have: x y=tanx x0=0° y0=0 x1=5° y1=0.0875 x2=10° y2=0.1763 x3=15° y3=0.2679 x4=20°…

Q: Find the general solution to the following Cauchy-Euler equation ty" + ty' + 9y = – tan(3 ln t).

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Q: 13. Reduce the equation y + 4 = 0 to the normal form x cos 2 + y sin 1 = p, and hence, find the…

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Q: B: 3:Use Gamma & Beta properties to evaluate : f (In x) 3 dx

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Q: Compute S x? cos(x³ + 3) dx

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Q: [-7, 1] The average value of cos (2z)e1-sin(2z) on is

A: The average value of the function f(z) on the interval a, b is  1b-a∫abf(z) dz.

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

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Q: Evaluate the following 1. S sin x sin (cos x) dx

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Q: If f(s)=sinh(s)^13 cosh(s)^10 , find f'(s)=???

A: We have  f(s)=sinh13(s)*cosh10(s)   We have to find its derivative…

Q: 2 Z = 31 + (Sin 28 + ((ase Ÿ -(Sin@) Fined Iz1 12

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Q: Evaluate | e'(sin(1) + e*)°dt using an appropriate substitution.

A: Given : ∫etsin1+et9dt

Q: 1.4 Compute the value of ₂ (sin x − log x+.e* ) dx using Simpson's th rule. 8 0.2

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Q: 14. Let X~Geo (p). Find E(X) and Var (X) using characteristic functions.

A: Given that

Q: Question 4. Show that the average value of f(x) ei. = e- + cos x on the interval [-7/2,0] is

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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: The amplitude A and period T of f(x)=5sin(4x) are..................... and ....................

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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: d 5. Prove (arccot(x)) dx -1 Be sure to provide a written justification for your work. 1+ x?

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Q: Find the average power of the signal: x(t) : = cos x + sin x (-7/4, 0) (7n/4, 0)

A: From the given graph, it is observed that the period of function is T0=7π4--π4=2π. Compute the…

Q: (1) Evaluate the following functions 1. In(3-i6) 3. cos (1+i3) , 2. e(0 52) , 4. tanh (2-i5)

A: As per guidelines, we solve only first question. 1. Given      ln3-i6

Q: Eliminate the parameter t from the following. x = sin t − 3, y = cos t − 2

A: Eliminate t by squarring

Q: Solve the following for 0 s x s 2n. cotx cos² x = 2cotx

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Q: G:2 Approximate the sel of K= Sin xo upto 4 decimal places by using Nedu'ton methed

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Q: Find the egetion of the tanqent line on the interval (o,5) to co.1, 6.2)

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Q: After one iteration of Newton Raphson Method, what is the refined estimate of the root of 7 (sin z)…

A: We can solve this using newton raphson method

Q: 3) z = sin(ej³) + sinh(5230°)

A: We have evaluate the given complex number z=sinej3+sinh5∠30°

Q: Find Lt+1)²-e' sin² t + cos(t+1 ++ π)}.

A: Given :

Q: if Sn0=4. and cos a=5 evalute witrout 13 using Aables Cos (eta)

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Q: Q6) Calculate the mean value of y= 24 sin5 0 cos 0 from 0 = 0 to 0= J\6

A: Mean value is evaluated.

Q: 17. If g(x) = ln(cos x), what is g'()?

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Q: 1.) Evaluate: S sin*xcosxdx 2.) Evaluate: Sx³Inxdx 3.) Evaluate: Sx3*dx

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Q: given f (x) = 3/5 cos (6x), what is the largest possible value for f (x)?

A: Given query is to find the largest possible value of the function.

Q: 4. Find the exact values for each of the following. а. sec-1 b. sec-(-V2)

A: The detailed explanation and answer is given below:

Q: 2/solve the differentialequation by using methad af Variation of (complete salution is vequired)…

A: Given equation is y'''+9y'=1cos11x               (i) Let us consider y'=z. Then, eq. (i) is reduced…

Q: d. Show that sin ž is exists or not? e. Verify that the derivatives of sinh z. f. Solve the value of…

A: The solution are next step

Q: suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 60…

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Q: 8. [Calculator Active] Find the least integer value n, such that T,(x)=1-+-++(-1)" - successfully…

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Q: 16. Evaluate S x² cos(x³) dx a.) -sin(x³) + C b.) sin(x') + C c.) - sin(x³) + C d.) sin(x') + C

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