@ Consider the Funetion y= sinx t cosx on [0,3T1/2], use EVT to ind ab soluute mox min. %3D

Q: = - 1) ex²-x dx x. Use the substitution method to rewrite the function in the integrand, (18x – 1)…

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Q: Find the sine transform of 1 and deduce that et - eT TLX F, (cosech Tx)= 1 tanh (p/2).

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Q: | sin(6y) sin(8y) dy.

A: we have to solve the integral

Q: 10 Use aepropriate substitution Ond then a trigonometric oubtitution to evaleiate the integial. dx…

A: This question can be solved using the concept of integration by substitution.

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: Integrate sin" uelog(cosu) . Where n=666

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Q: Integrate | 2 sin O de а. 3(cose)d

A: ∫2sinθ3(cosθ)2dθ

Q: x³ cos x dx

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Q: S cose de 1-sine sece tane de sece - 1 The integral fo fse Si x dx x²+√√√x²−1−1 sino de 1+ cose…

A: we have to above integration

Q: find show that Q Coshz =CoshX Cosy+isin hx Siny

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Q: i sinycos ydy

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

Q: the length of the curve y = coshx 1sx<2 is sinh(2) – sinh(1) Select one: O True O False

A: According to the guidelines issued by the company we are supposed to answer only first question.…

Q: sin 2ydy 4 – 3 cos 2y

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Q: Evaluate the following integral sec(VT) tan(V7) dx

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Q: Sinx Show that gy (x) = conyergos !ナx uni formly to xe Ci,6]

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Q: + Bsin z Differentiate @ wi th xespect to x - - S"d (use dy A sinz + B cose

A: Given that: y=Acosx+Bsinx

Q: Siny+ tany siny %3D 1+ secy

A: Let's find.

Q: 3cos3x - 1 To evaluate dx, the integrand can be transformed to 1- sin?x

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Q: 1. S(2cos4y – 1)i - sin4ydy

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Evaluate the indefinite integral. arctan dx

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Q: Find the area between the inner and outer ovals of r = 4(1+sine

A: I am going to solve the given problem by using some simple calculus to get the require

Q: 2 Find def differentiêt equatcn of: -I(082 Siny %3D

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Q: az for a – yz+ sin(cyz) = 5. dx 9. Find %3D

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Q: zy (Smxa CosX) Axー Sinhy

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Q: Use Simpson's rule with n = 6 to approximate %3D cos(a) dx 0.08 Keep at least 2 decimal places…

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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: sinx D.a) Find if mx Vt + 5 dt + siny = x-x²cosy

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

Q: Find the Laplace transform of tant. Show your full Solution.

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Q: (3X dx =? Sinmply

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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: hat is the number equal to L sin (3rt) dt?

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Q: Find II. | arctan 4t dt

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: Sketch one period of y = 2 cos z-1. Make sure to label the y-axis. x Clear Undo Redo 211 FIN

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Q: Evaluate the integral cot 2x dx cot2 2x - 15 -금사 csc 2x +C A Arcsec 4 B -In/cot 2x + cot? 2x – 15|+C…

A: Here, the given integral is: I=∫cot 2xcot22x-15dx

Q: ind dy/dx if y= xsquared-cotx-1divided by x squared show all work

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Q: Quiz, Qi Prove that the arc lenfth of Curve to y = log secx from N =0

A: Given : The curve y = log sec x.   To prove that the arc length of the given curve is

Q: Find Fourier sertes [o, 2] an 2) fex) f Cx) = Sin X ニ

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Q: Use the trapezoidal rule with n = 8 to approximate %3D cos(x) Keep at least 2 decimal places…

A: We have to find the value of the integral∫16cosxxdx using trapezoidal rule with n=8. From…

Q: Evaluate the integral sin dt. sin dt%3D

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Q: |1- x 2 arctan + arcsin(2x – 1) = Hint using f Odx = C

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Q: noitutitaduz ontemonoghtanie sin' x dxsldsinsvlenigito adi to amal cos x

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Q: Find all solutions to cosh z = i sinh z.

A: To find all the solutions of the below equation. coshz=isinhz

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: Differentiate: arctan(cosh(x)) Show all working out.

A: to find the derivative of arctan(cosh(x)) proceed as follows we know that ddxtanx=11+x2  apply chain…

Q: (a) If f(x.y) = e siny - e sinx then verify that fry fyz- %3D

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Q: O Evamate the triple integral メ2 "Sinydy dzdx

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Q: Particular Intecral for the differen tial equation (0+0ly=Sin k is given by . * COSX * Sinx Sinx D0.…

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Q: Find the area bounded by the trigonometric curves y=sinx and 2.828 square units 1.414 square units…

A: Given that curve y=sinx and y=cosx    from x=π4 to x=5π4To find :Area bounded by the region from…

Q: Find the common elrea between Y=2CI+Cose) and carved V=Z(1-Sine) which is Losatel in the funrth…

A: Let's find common area between given two curves. Common area in fourth quadrant.