(b) у %3 3* (d) у —D (а) у — Зх (c) y = x³ y A F f G

Q: 3) V12-b+4= 6

A: #3 Given,   12-b+4=6

Q: b) y = (3x-1)e-x²

A: The equation you've provided is a mathematical expression in terms of a variable x, given by:…

Q: csc -1Vxdx (6) Vx3 -x2 CSC x3-x2

A: From the given problem:   I=∫csc-1xx3-x2dx   So we can also write as:   I=∫--2csc-1x·12x-1xdx.....1…

Q: Find (f + g)(x)

A: we have to apply composition property to solve given function please note: we are only supposed to…

Q: 1. у' + у %3D 2, у(0) — 0 3. у' + Зу — 2хе- Зх 5. ху' + 2у — 3х, у(1) —D 5 6. ху + 5у %3D %3D 7x?,…

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

Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

A: Find the derivative of the given function.

Q: 4.a) Is the equation Exact? * (y2 – 2xy + 6x)dx + (-x² + 2xy – 2)dy = 0 O Yes, the equation is…

A:

Q: 2 X 2.- (D*- 4D +4)y = x *

A:

Q: Determine if b [3] 312 1 is a linear combination of a 1 = ------- 0 a2 1, and a3 = 2 6.

A:

Q: If f-1(15) = 3, Which of the following can be f (x)? a) f(x) = V5x +1 b) f(x) = 7x -5 c) f(x) = x3 -…

A: We will use concept of function and inverse function.

Q: 4x — у %3D 11 and 2x + 2y = 18

A:

Q: e) Solve [(-x'y)² + (x²y)³]²

A:

Q: 35. Solve this auxiliary DE y"" – y" – 4y = 0,when x = 4, y = 0

A:

Q: a) f(x) = {(3, –4), (2, 1), (–9,–3)} |

A: We have to find domain and range

Q: 2-5 Secxtanx edx 4-Sečx

A:

Q: If g(x, y) %3D Vху — Зх, find gx and gy. gx %3D gy %3D

A:

Q: 12) F 750- ? D

A: Solve the following

Q: -6V sec (20)

A: Let's plug  So, Using trigonometric identity,  Relation becomes, Here, square root can not be…

Q: 1. Differentiate. Do not simplify. I b) g(x) = (7x3 – 3x² + x)(1+ 4x²) a) y = Vx4 -5x+1 d) g(x) =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 9. y" - у' - 2у 3 -2t + 4t?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 3) g(x) = x + 2 f(x) = x³ + 4x Find (g · f)(x) А) бх* - бх3 + бх? - бх 2x + 4x2 – 8x 4) f(x) = x² –…

A:

Q: 3. y = (x+b)(x-a). (x-b) ; y

A: A detailed solution is given below. Use logarithmic differential to solve it.

Q: 1fd³y ydx 'y da (21)

A: Given: I=∫d3ydx3ydx. To be find: evaluate the integral. Concept: for evaluating the integral will…

Q: A - (B U C) = %3D (А - B) U (A — С) (A – B) U C Option 1 Option 4 (А- В - С) (A – B) n (A – C)

A: given , A-(B∪C)  WE HAVE TO FIND EQUIVELENT TO IT FROM GIVEN FOUR OPTION

Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

Q: 9.6 (4x 5) Add the following. ldentify NPVS X²-4x X8-X-6 4x-4 x8-x-6

A: We have to add the given functions.

Q: A+C=0 -4A+B – 8C + D=1 3A+16C – 8D = -2 194 1 3RI 16D -K RRL 16D –

A: Given  we have given the equations A+C = 0-4A+B-8C+D=13A+16C-8D =-29-12A+3B+16D=5 we have to find A,…

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A: Given that: (b) y=exx2(c) y=cosx2+1(d) y=2x2x+1 The quotient rule of derivative is…

Q: 2. Given that f is a differentiable function with f'(3) = -5, find g'(1) where g(x) = f(4x-x²)

A: The given function is,

Q: 3. ſ(4 csc2x cot2x + 2sec² 2x)dx A. 2 tan2x – 4 csc2x + C C. tan2x – 2 csc2x + C B. - tan2x + 4…

A: To evaluate:∫4 csc 2x cot 2x+2sec22xdx

Q: (d) (* + y, x - v)

A: We have given a vector field (x+y,x-y) with four diagrams;