Question 20 Evaluate: o So So (x+y+2) dz dy da

Q: ax+b _ cx+d (X1) a+bx c+dx Lazb, czd], x # (xi)

A: Answer

Q: Question 4 dx Evaluate Vä(49+x) Vx 2 Arctan 7. + C 7 Vx 7 Arctan + C Arctan 7. + C 7 Vx Arctan

A: To solve the following integral

Q: Question 9 To evaluate J y-cse(y?)cor²(y³)dy, we let u =cse(y³) A) True B) False

A:

Q: This question is designed to be answered without a If y = ex, then d"y - dx" O ex. O ex. O (-1)"ex.…

A: Our objective is to find the nth derivative

Q: QUESTION NO 2: Differentiate the following (a)Y=6x?-sec-1 5x (b)Y=2cos(x)+6cos-1 OS

A:

Q: 41. e* sin y d A, R = [0, 2] × [0, 4]

A:

Q: dy IN QUESTIONS 1-13, FIND dx' 1. y = (2x³ – 9x + 1)°

A:

Q: 2. g(x) = v2-X

A:

Q: Question 2 Find dy at x=0 for each part below. dx x sec (ax+) a) (here the answer should be in terms…

A: NOTE: Since you have posted multiple questions, we have solved the first question for you. If you…

Q: Question 3 1 pts Evaluate 2x y+-3(zy) given a = 10 and y = -5

A: Answer is 155.

Q: Question 25 The general solution of (D2 -2D+1)y=2sin x A y=ce*+c2xe*+ sinx B y=cqe*+c2xe* +2sinx y=…

A:

Q: Question 19 d'y If y = x In x, find dx2 A) -1/x B -1/x2 1/x2 D 1/x

A: Product Rule of differentiation : d(u.v)dx =u.dvdx+dudx.v d(xn)dx=nxn-1 d(lnx)dx = 1x

Q: Question 11 dx 4+e (A) 4+e* (B) e ot D 4e*+1 E) None

A:

Q: Question 15 Let w = x'+ V9x, y= w°. Find ay dx

A:

Q: QUESTION 1 dy Find the general solution (x+ 4)- +3xy=x y(0)=1

A:

Q: Evaluate the iterated integral.

A: The given integral to evaluate ∫0π4∫π4π2cos2x+ydydx First evaluate the inner integral then the outer…

Q: Question 9 x² – 4 Evaluate: V A =Vx² - 4 – 2 sec-+ c =V x2 – 4 + sec¯ + C = 2/x? – 4 + sec + C D x2…

A: The integration of the integral is sqrt(x2-4)/x.

Q: Question 10 If y = xin x, find dy %3D dx2

A: Answer and explanation is given below..

Q: Question No.07: f Y=xi+ i work aut V. ) y9+gk and y = |Y),

A:

Q: Question 2. Find the general solution of the following ODE: y" – 4y' + 4y : I > 0.

A:

Q: Question 4 Find the solution. ,dy 2- y?=2xy dx (A 2x -2 B

A:

Q: Question 25 dy The general solution of the DE dx cos²y is %3D A y= cos(x) + C

A: Given:- dy/dx= cos2(y)  To find:- General solution of given differential equation

Q: dy IN QUESTIONS 1-13, FIND dx' 3. у %3DV11 — бх

A: Given that       y = √(11-6x) We have to find dy/dx .

Q: Question 6 af Given f = esec (#) -ya+y, find dy (#) sec² (=) ye NO -y+In (y)

A: Given :f=esecxy-yx+y

Q: NAME: dy IN QUESTIONS 1-13, FIND dx 12. y = Vcot3x

A:

Q: Question 2 Let r, y ERt with x < y. Show that y-l<x-1.

A: We have to prove that the given inequality.

Q: QUESTION 8 If fx) dx = 14 and [fx)« dx = 4, find O a. 14 b. 18 O C. -14 d. 10 O e. 4

A:

Q: Question 24 2ay" =17 when t=V2. y' If x= Arctant3, y=/1+16, find the value of a if A 2/2 - 2/2 В ©…

A:

Q: Question 14 Solve the following DE: (2xy? + 3x?) dx + (2x²y+ 4y) dy = 0 O a²y? + 3x + 4y = C O a'y?…

A: Solution of differential equations

Q: Question 7 Given : A B E 0 2π 3 F|+ π 4 (U) =|m x³sin(2x) dx = 3 5π 6 3πt 4 277²-24 64 Find bif sbst

A:

Q: Question 7 By algebraic substitution, the integral dx dx is converted to: 4+/x dy A) y+4 ydy B Jý+4…

A:

Q: Question 40 Evaluate V1+ a?dx dy O 2/2 3 O 2/3 O 112/2 3. O 1/3

A:

Q: Question 27 1 Point Evaluate: dx 9-x2 (A) 9-x2 +C B) +C sin C) sin +C (D (9-x2) /9-x2 +C

A:

Q: Question 7 Given f f (z) dz = 7 and g (x) dr = 4 , find ſ, f (x) dr. %3D O Not enough information O…

A:

Q: Question 24 Find dy/dx if y = evx (A evx/2x B (c) ©e*//x D evx-2Vx

A:

Q: QUESTION 1 d²y Find dx² for each of the following equations. a) y = 3x² + cos(3x) b) y = e** + (x +…

A: Given that: (a)y=3x2+cos(3x)(b)y=e4x+(x+1)4

Q: QUESTION 5 dy If y=5sinu and u=4e%, then the value of Y dx 4cos(5x) cos(20x) • 20cos(4eX) 20cos(5eX)

A: To find this will use chain rule of differentiation If y = f(u) and u= g(x) then according to chain…

Q: Question 7 dy = 2/y- 5In|Vy+ 5| + C Vy+5 T True F False

A:

Q: Question 22 What is the annihilator for y=x e*cos 2x ? A D²+5 B D2-2D+5 ©(D²+5)2 D (D2-2D+5)2

A:

Q: Question 18 d?y If y = x In x, find dx2 A) -1/x B -1/x? © 1/x2 D) 1/x

A:

Q: Solve: cos ysiny+ zcos"y-3= 0 dy Зcoty 3 Ctany Ox- 3tany = Ccoty 3secy= Ccscy 3cscy= Csecy

A: We have to solve the differential equation.  Divide the given equation by cos2ysin y dxdy+xcot…

Q: Question # 4.7 43 Find the valve of (I+J3 243

A:

Q: Item 8 of 10 What is S P, (x)dx if the given DE is y(6y² – x – 1)dx + 2xdy = 0? Select the correct…

A:

Q: dydx COS (4) LL dydx + y? x² Vx4

A: Given Double Integrals are: (2) ∫01∫0xcos12πx2dydx (4) ∫01∫x21x3x4+y2dydx Her we use the integral…

Q: Question 23 en [ "_f(x)dx=0 and ["f(x)dx = 1, evaluate Given A 0 B (u) D 11 76 55 =¹3f(x) dx -…

A: We have to find out the integral

Q: Question 8 dy The appropriate substitution to solve dx + In(x + 1) = x°y³ is %3D O y = vx O z = y? O…

A:

Q: Question 13 d?y of y = 4x dx' Find the 3. y" = 4 Eethis reapon

A:

Q: Question 18 Evaluate: fo S, e dy dx O e - 1 O ve

A:

Q: 1. 3 cos @ ein de 2. S- (+2)dy 3. S (20+4y+yaja sec a tan a da

A: As per guidelines we have to solve the problem