Veridy that x - T -Ž ?I ti) e -n4 sin (nx) and 00 -n sin (nx) are equivalent .

Q: Q2. Fined h[2Stnat.cosst] Hint L2 Sin A Cosß = Sin CA+B)+SfnCA-B) %3D

A: As per the policy of bartleby the provisions is to solve only one question at a time i am solving…

Q: تفاضل وتكامل )2( نظري Stan?x dx = Select one: a. sin x-x+ C on b. COS X-X+C C. sec x +x+c d. tan x -…

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Q: sin z (a) ? (z-1/6) dz C /z| = 1

A: To answer the given questions we shall use the Cauchy integral formula for higher order derivative…

Q: If f(z) = 2 sin I +3 cos z, then f'(x) = %3D

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Q: If sin x - x sin x = -y cosx , then (y - 1) sin x = ? da C- x sip C+x sitft (B C - x COSX C+x COs

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Q: What must be the value of A so that cos(r + y)- cos(r-y) = A sin a sin y? %3D O 2 no correct answer…

A: In trigonometry, cos(x+y)=cos x·cos y-sin x·siny and cos(x-y)=cos x·cos y+sin x·siny

Q: QuestionTO cos( z+ Da sin(e-2+ In(z)) + C 4 Ob. -4 sin(e-z+ In(z)) + C Oc. --- sin(e-z+ In(z)) + C 4…

A: Given query is to evaluate the integral.

Q: 16. cose - V1 - sin "o for 90< 0 < 180 < e < 180 %3D | |

A: Given statement is : cosθ=-1-sin2θ for 90°&lt;θ&lt;180°

Q: cosh? z + sinh2z=1 true False O оо

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Q: dy If y = x³ cos π, what is ? O 3r² - sin 7 -3x² sin T O 3x² cos T COS O-³ sin + 3x² cсos π

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Q: Use the method of substitution to evaluate 2x cos x2 dx. sin x + c – sinx² + c - sin x? + c sin x?…

A: Solve by substitution method

Q: For x >0, tanh(Inx)+ dx x2 - (tan-(x)) 1 + > = x? .2 Select one: O True O False

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Q: Given f(x, y, z) = ze™" - a sin none of the choices 02-1/ 02²/ 0 01- ¹(), what is fax (0,2,1)?

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Q: If Z = cos () +i sin then Z-Z+1=. .

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Q: 6. If f(x, y, z) = r³y³ sin (z²)+z³ cos (r³), find an expression for fryz and evaluate it at the…

A: x, y and z are the variables of function f Differentiating partially the function f with respect a…

Q: Which of the following is correct? 1. cosh?x +sinh²x = 1. II. sinh x cosh y = sinh (x + y) + sinh (x…

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Q: %3D Hint: sin? x) = |sin(x)] 2. If Devivative of:-6sin?(3x)

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Q: - 2sin?x on the interval Solve the equation Sinx = - [О, 2л). O출, 풀, 풍. 풍 号,等, 11T 2 00, z, 4, 11T O…

A: Explanation of the answer is as follows

Q: Determine whether the statement is true or false -2t+3 L{e=#+3(sin(t) + cos(t))} = e*L{e=# sin(t)} +…

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Q: The value of | Je A. -sin-¹ (ex) + C C. sin-¹ (e) + C dx 2x B.-sin-1 (e-2x) + C D. sin-¹ (e-2x) + C

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Q: dy If y = cos3 (sin2x), then - - 6 cos? (sin 2x) sin (sin 2x) cos(2x) dx True False O The reminder…

A: We use chain rule to find derivative and reminder Theorem to solve Question 2

Q: Evaluate ycos z sin x dz. 3 3 7 + (*) cos (x) + cos? (2) 2 X syntax error. + C

A: Solce

Q: 13. Evaluate using the substitution u = 1 – x² or trigonometric substitution. (b -ак х (a) dx x4 (c)…

A: Thank you for the question, As per our honor code we'll able to solve only first three sub parts of…

Q: Evaluate the principal value of sin(3 + j4) O a. none of the above O b. 2.51 - j2.31 O c.2.31 +…

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Q: If f(x) = 7 sin x + 7 cos a, then %3D f'(x) = %3D f'(3) = %3D

A: Given functionf(x)=7sinx+7cosxdifferentiate with respective xf'(x)=7cosx-7sinx…

Q: The L is a) sin t b) cosh t c) sinh t d) None of these O d) c) O b)

A: Given that  Inverse Laplace of s/(s^2-4)

Q: Evaluate; | em(sin2x) sin2xdx sin 3x +C 3 A sin?x +C 2 B sin*x +C 4 sin4x +C 2 D E None

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Q: W (sinh x , cosh x) = ? Select the correct response: O -2 -1 O 1

A: We will find the solution using the given operator.

Q: 4. Evaluate r³ sin r). dz

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Q: tor 7(t) = 2 costî+ 2 sin 2t ĵ + cos 2t k. %3D

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Q: 4 pts Two angles, X and Y , are complementary. If cos(X)=, what is sin(Y) ? O not enough information…

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Q: What is the equivalent expression of sin ( - x)+ sin ( +x)? O a) cos (z) O b) - 2 c) d) V2 cos (z)…

A: The given expression is sinπ4-x+sinπ4+x

Q: (- x cos r) dz. Evaluate /2

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Q: Prove the following i. ii. 1- sin x 1 = sec x – tan x. cosec e + sin x, V(1 – cos? 0)

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Q: 3. Simplify the following expresssion: sin*e-cos4e а. sin 0 cos e sec20-tan?0 b. cose+cot 0 sin 0 С.…

A: Given:  a. sin4θ-cos4θsin θ cos θb. sec2θ-tan2θsin θc. cos θ+cot θ sin θsin θ To Find: To simplify…

Q: 8. Evaluate (a) /sin z cos" z dr (b) / (ln z)* dz. You may use /In z dz = z ln z - z+c.

A: Let's find.

Q: Find y' for y=3 sin?x+3 cosx. A O .BO 5 .CO sinx .D O cos x

A: using formula for first derivative of trignometric function

Q: tinuous, prove that T/2 T/2 f(cos x) dx = f(sin x) dx (b) Use part (a) to evaluate /2 cos?x dx and…

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Q: 4. If f(r) = sin(r), can you determine D(2021) f(a)? Explain.

A: 4)

Q: Q12) If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( -,6 )?

A: Given ,fa,b,c=Cos abSin b+CPut 12,π3,6i.ea=12 ; b=π3 ; C=6

Q: Which of the following is correct? 1. cosh²x + sinh²x = 1. II. sinh x cosh y = sinh (x + y) + sinh…

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Q: 2. Using trigonometric substitution, what is S x² -9 dx ? x3

A: Given integral √x^2-9 /x^3 dx

Q: Evaluate F di where F = (4z, 0, - z), and C is given by 7(t) = (t, sin(t), cos(t)), 0 st<R

A: Use parametric to solve

Q: Use substitution to evaluate sin2x√/4+9sin²x dx A (26/13-16) B 27(26√/13 (26√/13 – 16) C 27/7 √…

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Q: (d) Using your answer to part (c) compute h'" (x) where h(æ) = 1/ cos(x) and a is such that cos(æ) #…

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Q: 13) sin z cos r dr

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

Q: /hich of the following statements is true? +C (x-5) In(3) B dr=sec-!(x) +C tan²(x) dr =tan(x) – x +…

A: We are going to solve

Q: sec x + coOS x dx 2 cos x

A: To evaluate