Which of the following is L (s – a)² – c² | where a and c are real nonzero constants? Select one: а. -at sin(ct) O b. -at cos(ct) С. eat cosh(ct) d. eat sinh(ct)

Q: S sin(2æ)da= Select one: а. 2 b. -2 С. -0.5 d. 0.5 O O

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Q: 19. Find the amplitude of each trig function below:19a. 2 sin(3x), 19b. 3 cos(5x), 19c. −7 cos(4x)

A: The objective of this question is to find the amplitude of the given trigonometric functions. The…

Q: Evaluate f sin(5/z) -dr Select one: a. 금cos(5/z) + C b. 5 cos(5/a) + C – cos(5/x) + C C. d. cos(5/2)…

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Q: 5. Find the values of a and b such that dx tan 1 + sinx a + b . %3D

A: We need to integrate ∫11+sinxdx

Q: Let a be a constant, Evaluate[ (a* + x² + a) sin(3z") + 15z*)dzr.

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Q: 8. Evaluate: ſ V1– cosx dx A. V2 cosx + C c-2 sin를 + C B.-VZCOS를 +C D. -VZcos + C

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Q: (주) X X Evaluate: " sin' cos* () d 4

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Q: バx 0 2. (5X sín x cos X dx

A: Use integration by parts

Q: Q3. Evaluate ". -2n sin²0 de 5+4cos0

A: To Determine :-  ∫02π sin2 θ5 + 4 cos θ dθ

Q: 5. Use substitution to find S sin1º0 cos 0 d0.

A: We will find the integration.

Q: Let a be a constant. Evaluate ((a* + a? + a) sin(2a) + 9a?)dx.

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Q: Use the method of substitution to evaluate | 2x cos x? dx.

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Q: Xp

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Q: Ex2: Use the identities 4 and 5 to prove that: cos(x- y)-cos(x+y) (a) sin x sin y = 2

A: Formula used -  cos(A-B) = cosA cosB + sinA sinB  cos (A+B) = cosA cosB - sinA sinB

Q: H.W Y= Sin *る

A: Given, y=sinuu=x2ex Substituting u in y we get, y=sinuy=sinx2ex Differentiating equation (1) with…

Q: Find the values of the following Integrals: ii) S sinx tan'ccord dx ü) Sex uci+ e* ) dze in) St…

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Q: Plot each complex number: 1. -3i 3 2. 1. -2 -1 5. -11 -2

A: In complex plane  z = x + iy    = (x,y)

Q: Determine the amplitude of the function y = -4 sinx- 7. а. 7 с. 4 b. -7 d. -4

A: Generally the following is the formula used for calculating the amplitude:y = A sin(ωt+ϕ)Where, y…

Q: Q57.a) Find if y=sin(tant) and t=cos(x) dx

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Q: Evaluate Jx/2 6 sin x (cos x + 1)³ dx

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Q: dy Given y = 4e is: cosa, da Select one: a. 4e * + sinx b.-4e + sinx c. --4e¯ª - sinx d. 4e * COST

A: We are given with the function y and we have to find dy/dx which we can find out by differentiating…

Q: for what value of x is cosx 1=5cosx is true

A: Solution: Consider the given equation: cos x .1 = 5 cos x Therefore, 5 cos x = cos x5 cos x - cos x…

Q: Q5. Evaluate the expressions: x² + 4 1. sin sec 2. cos ( sin

A: Using Pythagoras theorem we calculate the given expression.

Q: Draw the greph- (4) y = -4 sec (17X), find T.

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Q: Q5. If x= a.sin 0 and y = b.Cos 0. Eliminate 0.

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Q: sin x 6. Evaluate dx. 3 cos x

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Q: c. sin 2x: = 2 tan x 1+tan² x d. 2 cos x cos 2x+1 =secx ✓✓✓✓

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