[If the solution of the following initial value problem is y(x), find y(4)]. 4xy' – 4y = 7x, ( | y(1) = 4. %3D O 16+7ln3 O 16+7In4 O 19+8ln4 O 19+7ln4 O 19+8ln5

Q: Max owns a car. With probability 0.1 she gets into an accident and is left with $2500 (net). If she…

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

Q: If Z=x+iy and 12/=/2-81 of *= Hhe Value %3D

A: Given that       z = x+iy  and |z| = |z-8| Here we have to find the value of x .

Q: Suppose 4 0 2 8 * (3f(x))dx = 12 and -2 d[ f(x)dx = 2. Compute 5 5 -2 f(x)dx.

A: NOTE: Refresh your page if you can't see any equations. . here we have and

Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

A:

Q: 20. [(x²+2x-10/3 (5x+5)dx

A:

Q: S (x + ¹) ex x²+2x-3 dx

A:

Q: Consider choosing x and y to maximise -x-10y, while 3y (31) 2 cannot fall below 1.4. What is the…

A: Given function:- fx,y=-x-10y Let gx.y=13ln3x+23ln3y2

Q: √__(x+1) dx (x+2)(x-1)² 1 9 3 2 0-11/11 - 01/17 9 3 2 3 1 2 9 3 -io 1 9 - = 1[ A B + x+2 x-1 + C…

A:

Q: 4. [√√2x(x+3)dx

A: Find the integral

Q: 5. (x²-x)? 5.*- 5. - x2 – 2x + In|x|+C x3 2 6. S(6Vx – x-3)2 dx 6. 18x? + x3/2 8 1 + C 5x5

A:

Q: If f(x) = 1+5x + e" , then (f-1)'(2) = %3D %3D (A) } (B) 5+e? (C) 5 (D) 2 (E) 6 1/6

A: Given query is to find the derivative of the Inverse function.

Q: If f(x) = 2х+1 *,x = 0, 1,2, 3, 4 25 %3D P(2 < X < 4) Select one: O a. 7/25 O b. none О с. 16/25 O…

A:

Q: Given f(5) = 4,S"(5) = 2, g(5) = 6, and g'(5) = -7. Find W(5) if h(x) = fG) × g(x). O-50 O 14 O-16 O…

A: To find h'(5) , we will differentiate both sides to the given equation.

Q: 14. Given the functions f(x)=x +1, g(x)=/2x and h(x)=- x+3 find: %3D a) f(8(9)) b) f(8(x)) c)…

A: Given  f(x) , g(x) and h(x)

Q: (21)3 if z1 = 1230°, z2 = 1260°, and z3 = 1245°, find , (z3)% %3D 1275° O 1Z175° O 1Z125° O 125°

A: We have to find out

Q: Find h(g(2)), where h(x) = In(1+x²) and g(x) = Ve2a – 1. - O 6 оз O 4 O 5 O Answer not listed O 2

A:

Q: The percentage of female high school graduates who enrolled in college is given in the table below.…

A: Let x represent time(in years) since 1970, and let y represent the corresponding percentage of…

Q: Given g(x) = In(7x+x), the derivative g (x) is

A: Given,           gx=ln7x2+x

Q: 2.2 Deffetrentiate the following: 3x +1 a) f(x) =. %3D 2x + 5 b) S(x) = (emcot ) %3D (8x – 1)? f (x)…

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

Q: If g(x) = %3D 4 - x2 then .? Select one: 8x2 O g (x) = (4 – x2)2 8x O g (x) = 4 - x2 8x O g (x) = (4…

A: We will solve the problem

Q: If s(0)=−4, s(7)=−5, f(0)=2, and s′(x)=f′(x) on [0,7], determine the value of f(7)? (Do not include…

A: We have to determine the value of f7  given,  s0=-4, s7=-5, f0=2 and s'x=f'x on 0,7 Since, s'x=f'x…

Q: 1. Which of the following is the inverse of f(x) = (3x – 5)? A (x) =(+ 5) B f'(x) = 3Vx + 5 c f(x) =…

A: Given function is-  f(x) = (3x-5)3

Q: Let A = {1, 2,...,: 10}. Find the closure and the interior of A in the following topo- logical…

A: In mathematics, topology is the study of the properties of spaces that are preserved under…

Q: 2 1. Given f(x) == and g(x) find gof and its domain. X-1

A:

Q: 5. Find the inverse of f(a) = x +2; x > 0. O A. f-1(x) = Va? + 2 O B. f-(x) = Va - 2; x 2 2 O C.…

A: Inverse function.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.