tions: Find and classify the isolated singularities of the following func- 1 sin(21) 2 2² +1 (e). cos- (f). sin 3z (d). (2²-1) cos Tz (z+2)(2z − 1)(z² + 1)² sin² z

Q: 1+sin 2 x 1) Find the derivative of f(x): 2 cos3 x

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: 13. To evaluate f 3cos*x-1 dx. the integrand can be transformed to 1-sin2x a. [(3cos x+ csc²x)dx b.…

A:

Q: 3. g(t) = arcsin (E - find g'(t) A. (4-t+) В. (4-t+)ž C. - 2t5 (4-t4)ž 2t D. (4-t+)5

A: 3-Given- gt=arcsint22-t24-t4 To Find- The value of g't.

Q: Consider the following. cos(x + y) cos(x - y) = cos(x) - sin²(y) Prove the identity. - sin(x)…

A:

Q: 6. Compute dy where xy = dx cos(x+y)-y x cos(x+y)+y x cos(x+y)-y x-cos(x+y) cos(x+y)+y x+cos(x+y)…

A: The equation is given by xy = sinx+y To determine: The expression of dydx.

Q: 3i +2V2 - 5n -4i +6(1 +a T/4 [(3sec2 t)i - (5 + sin t)j - (6sec t tan t)k)]dt Find 0. 2 2-57T-4 3i +…

A: ∫sex2xdx =tanx+c∫(constant)dx=x+c∫sint dt =-cost +c∫sect tant dt =sect+c tanπ4=1cosπ4=12secπ4=2

Q: de (sin(0) cos(0)) =

A:

Q: V5 3 If cos(a)= and sin(B) = 풍 <a<nand 2 * <B <27, compute the exact value of the following: with 5…

A:

Q: L' (s²+4)(s²+9) 3 f cos(2a) sin[3(t – æ)]dx O b) cos(2t) sin(3t) c) None of these 1 * Só cos (2a)…

A:

Q: 2. [ * xkbr cos*x- sin 3(sin y- cos y)° dv 10. cos y

A:

Q: Find !V1-cos xdx 2 sin x = 1- COS X V2(-cos x/2)+ c 1/ /2(-cos x/2)+ c В. 2/2(-cos x/2)+ c С.…

A:

Q: 1. how that { cos(Inx), sin(Inx)} is a fundamental solutions set for x²y" + xy' + y = 0 on the…

A:

Q: Q2-4 * Amount Equal sin(2x) J (D²+D+l)° (5sin(2x)–12cos(2x)) (5sin(2x)–12 cos(2x)) (5sin(2x) +12…

A:

Q: Using the substitution u = cos(2x), S sin (2x) cos (2x) dx %3D

A: The given integral is ∫sin52xcos32xdx.

Q: The values of C₁and C₂ so that y(x) = C₁ sin x + C₂ cos x satisfies the following conditions; y(0) =…

A: Here we have to find the value of c1 and c2 using given conditions.

Q: Consider (D² +1)y = sin²x_ Using variation of parameters, what is the form of y ,? А y =f cos x + g…

A: As per guideline we have to solve one question Please repost other question again

Q: e points of inflections and the local maximum and minimum values of the function y=2sinx + sin2x in…

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: 2x 2)/3x* 2) [3x* - 9x² +1 V9-x² dx .2 3) [ sin xcosx dx x cos.x 4) S sin² xcos 4) sin x cos x dx

A:

Q: sin 5.x cos 5x ERCISE & Prove that: X (1) cos(A+B)+cos(A-B)=2 cos Acos B cosy+sin y cos.x+sinx *(3)…

A:

Q: Which of the following is a possible equation for the following trigonometric function?

A: To find which of the given equation is possible equation for the trigonometric function.

Q: (2) lim R→+∞ R L." cos 28 sin (x² sin 23) dx

A: The given problem is to evaluate the given improper integral with lim R tends to infinity.

Q: QI: Choose the correct answer 1) f(3e*r - 6 sin(3x) + 10cse (2x)) dx = A)e - 2 cos(3x) + 5tan(2r) +C…

A:

Q: x where 3π/2 ≤ x ≤ 2π. 1 + sec²x = 2 + cos²x + sin²x

A: Here we use formula of trigonometric equation.