c) h(p,g,0) = psin@cose ah sin@cos0 ; ah = pcos@cose answer: - %3D ah =-p sinøsin0 d) W(P,V,8,v.g)= PV + aw answer: aw =V ; =P+ av Sv2 %3D %3D 2g 2g ' 08 2g aw VSv. aw %3D av og 2g2

Q: (2) cothx-1=csch?x %3D

A: To prove that  coth2x - 1 = csch2x

Q: f(csc x cot x + 3x2)dx csc x – x3 + c csc x + x3 + c - csc x + x3 +c .3 x° + c O cotx + x3+c

A:

Q: Find cot β if csc β= -(3 √5)/5 and sec β=-3/2 A) (√5)/2 B) (9 √5)/10 C) (5 √5)/2 D) (2 √5)/5

A:

Q: Four equations are provided below. Which equation follows from the Power Rule? I. (P)' = pr P 1…

A: Answer is option (a)  Because only equation 3rd follows the power rule .

Q: 2) Find the exact simplified value. * (ese(-) TC cot-1 CSC 2.

A: We are given,  .

Q: / (csc 2x)(cot 2x cos 2x + cot 2x cos 2x) dx

A:

Q: How would this parametric function of x=2cost +cos2t; y=2sint-sin2t be solved

A: In order to solve a parametric equation, firstly differentiate x and y with respect to t and then…

Q: D cos( 5t D sinf see Dcost cast) 4

A: See the attachment

Q: tan x + V3 = sec x

A: trignometric expression

Q: Evaluate. 9- xp- dx%3D Evaluate. dx | dx = Evaluate. dx dx =

A: As per guideline we have to solve 1st 3 parts

Q: 1. Explain why sin(n+0) =-sin@ using a diagram and x, y, and r.

A: Solution of given problem is followed by

Q: e* secʻ(e* +1dx tan(e* +1) 8. 2x² – 7x -5 9. 2x+1

A: 8) Consider ∫ex sec2(ex+1)tan(ex+1)dx                       (1) Let tan(ex+1) = t On differentiating…

Q: 2x + 2 Evaluate : sin :Ssi". dx. 4x² + 8x + 13,

A:

Q: (h) (1 – cos² r) (1+ cot? r) = 1 %3D

A: you can clearly understand if you follow the below solution

Q: 7) y = — - cos (40-32) 2 D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the valve of tan (i)

A: We have to find the value of tan(i)Where i is complex number i.e  i = We know thatsin(ix) = isinhx…

Q: 2 + sin x Differentiate Y x + cos

A:

Q: If csc e = 1/3t, then where defined, cos 0 A) Square root of (1 – 9t²) 3t/squareroot of (1 – 9t2)…

A:

Q: d) y" + y = sin 2t, y(0) = 2 and y'(0) = 1

A:

Q: Find y': y = ar cos

A: The given function,  y=ar cosx3

Q: ax 5x +16

A: Our Aim is to integrate:-∫dx5x2+16-(i)

Q: 1.secB-cosB = tanB sin B 2.cotAcosA + sin A= cscA

A:

Q: Solve for X tan(5x+11)o=cot(6x+2)o

A: We use cot(x)=tan(90-x) property

Q: Solve the equation (r + sin x - cos x) dr + r(sin x + cos x) dx = 0. %3D Select one: O a. r^2 + r…

A:

Q: {(-9, 1), (- 5, 2), (0, 7), (1, 3), (6, - 10)} Josiah claims that the ordered pair (6, - 10) can be…

A: Given ordered pair is, -9,1, -5,2, 0,7, 1,3, 6,-10

Q: | sec(/I) tan(/) dr

A: We need to solve integral.

Q: Solve, sin β = - 12/13, π < β < 3π/2.

A: sinβ=-1213, π<β<3π2

Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

Q: Generate a 3D plot based on the equation z=sin(x) +cos(y), both x and y range from 0 to 2 pi. Please…

A: [x,y]=meshgrid(0:2*pi); z=sin(x)+cos(y); surf(x,y,z)

Q: Question 6 of 10 n(x) = csc°(;w) Select the correct response: csc(-a) + cot(x) CSC - 1 sece'(승)…

A: