1. Given : R]-1 GJ Cos20 Sin20 2sine coso sin20 Coso -2sin& cost |-sintcost Sint cost Cos-Sine Prove that [R]G[R]= [T] 1- --

Q: find the extreme values on the interval g(θ) = sin2 θ − cos θ, [0, 2π]

A:

Q: r sinx Evaluate: (2x-)(1+cos'r

A:

Q: In which of the following points does the graph of f(x) = 2 cos x + sin 2x has a horizontal tangent…

A:

Q: use Theorem to find 31) F(A) = 4t? 5 Sin 34

A: To find the Laplace transform of the below function using the theorem. ft=4t2−5sin3t

Q: 1 cotx ln sinx|dx x In [ x Ja 2 1 2

A: To find, ∫ cotx2lnsinx2dx Let I=∫ cotx2lnsinx2dx We know that cot(x2) = cos(x2)sin(x2). Therefore…

Q: cos x ...ş gl x = 0 die f(x) = -( أن قيمة مشتقة الدالة ... ..... 1- sin x

A: We have to find the derivative of the given function    The given function is  f(x)=cos(x)1-sin(x)…

Q: Determine whether the following statement or expression is true or false. 1)[-] is the restricted…

A:

Q: 2.) Compute for the derivative (DO NOT USE THE DEFINITION) of A. 2x3 y = tanh sin x2

A:

Q: =[in(4-x cos (r4

A:

Q: d dx d du d dz d [12 cos ¹2x] dy d dq [4 sec ¹3u] [10 tan-¹2z] [6 csc-¹4y] [9 cot-¹39]

A:

Q: 1+ csc x cos x + cotx

A: Given query is to simplify the expression.

Q: OL. If w = f(u, v), u = cosx and v = sinx, show that: (30 Marks) %3D d?w dr v² fau + u?f- 2uvfuv -…

A:

Q: [1] S(4x³ + x)V4x² + 1dx > [2] S(2x7/2 – vx)* d. [3] S V1+ 2sin3xcos3xdx

A: As per bartleby guidelines we are support to answer only 3 subparts of a question. This post…

Q: [*(sin³r)√1 + cos ar dr x

A: We know that integration power rule is given as  Integration of xn is xn+1/n+1.   Here i attached…

Q: Find the derivatives using Trigonometric Functions 4 y = cos* t – sin* t \1/2 ソ= v = (2 tan² 20 –1)"

A:

Q: 7) {(1- sin° 31)- cos3t dt 8) | t in’ (5x)· sec´ (5x) dx

A: 7) I=∫1-sin2 3t·cos 3t dt  ……1

Q: Srind dy /dx for X-(0)(cas20+ Osino andy

A:

Q: そ COS X d x Sin X

A:

Q: etermine the form that would make f sin () cos () sin(0) de

A: We have to determine the form of the given indefinite integral

Q: : (a) Evaluate S cosx sinx V1 – sin+x_dx. (b) Evaluate S V1 – x² dx.

A:

Q: 4. [(3sin 2f – 3 cos 5t )dt 5. sin x dx cos x

A: 4) Given:            ∫3sin2t-3cos5tdt       =∫3sin2t dt-∫3cos5t dt taking constant out…

Q: e)f[cot2x√sin2x + cos2x]dx

A:

Q: (d) ƒ COS √1+sin x dx, (e) cos(lnx) S dx Т

A:

Q: 2Tt Prove that a" sinax cos bx dx = 0 0.

A:

Q: 13. Evaluate: sin(x²) dx A) 2x cos(x2) B) 2x sin(x?) C) 2x cos 2x D)2x cos x 14. Find the derivative…

A: To find Evaluate the integral:

Q: Suppose /s(x)dr f(x) = sin(4-). Evaluate: (A - 3cos (B -cos

A: Given that: f(x)=sin4-x3