fg)(x)=  f(x)=3x−8 and g(x)=x2+16x+63

Q: researcher in physiology has decided that a good mathematical model for the number of impulses fired…

A:

Q: f(x) = 4x"+9x- 7x x²-7x²-14x+2 3

A:

Q: Solve for x and y simultaneously: x-2y -3 and y320

A:

Q: - 9x²-6x b) f dx x3-x2

A: Given: ∫9x2-6xx3-x2dx for integrating this we take x as common from numerator and denominator…

Q: 29. f(x) = 3x4 + 8x³ – 18x? 30 %3D -

A:

Q: (x*-3x2) r5-3Vx3+Vx x2-2 Q1: If y = find y'

A: Given,           y=x4-3x2x5-3x3+x4x2-23

Q: f(x) = 2x³9x² + 12x − 3 -

A:

Q: If y" = 9x + 2x -1 then the particular solution is:

A: given differential equation  y'' =9x2+2x-1

Q: Find f′(x) and f′(c).

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: f(x² - 8x +21)²

A:

Q: 9x +1 d) / | 3 – g² + 9x – 9) x2 + 9x – 9) -

A:

Q: Find f by solving the initial-value problem. f'(x) = 7e* – 6x³, ƒ(0) = 5 -

A:

Q: f(x, y) = 8x3 6x2y3 + 7y4 -

A: Given data:     The given function is: f(x,y)=8x3-6x2y3+7y4.   The expression for the partial…

Q: Find the general solution of (D3-D2+D-1)y = 15sin2x using method of undetermined coefficient.

A:

Q: d. xy' - y - 5x* – 3x² + 2x = 0 when x = 1 and y = 2 - 3x² + 2x = 0 when x = 1 and y = 2

A:

Q: Ay 2- X -2-

A: The given graph is:

Q: F(x) = (x² + 4x + 7)°, then æ) = 2) =

A:

Q: The revenue from sales of x units of a product is given by R(x) = 125x-0.01x, and the cost of…

A:

Q: c. f(-8x)√√3-4x² dx d. S dx 6x² (4x³-9)3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 5. The revenue and operating cost of a car wash facility are given by R(x) = 13x – 0.7x² and C(x) =…

A:

Q: 5x2 f(x) = + 21x + 4 -, a = -2 x2 +2x

A:

Q: f(x) = x* - 4x° + 7x2 - 16x + 12; 3

A: Follow the procedure given.

Q: What is the particular solution for y′=6e^x+x^2−7x y(0)=6?

A:

Q: (z)6 x) = x2 – 3x - 4, g (x) = 2x² + 5x + 2 and h (x) = 2x2 – 5x – 3.

A:

Q: 2) Find of y = क सम्माय 2) r*+1)(2x+3)

A: Simplify the given expression and take log on both sides.…

Q: y = -2x³ 4x* + 2x3 5x + 15, find y'"' - -

A: Given: y=-2x5-4x4+2x3-5x+15

Q: If f (x) = 2x2 - 5z, solve f (x – 2). %3D

A:

Q: Solve using the chain rule f(x) = 6/2x – 5 12 A. 6V2x- 5 В. 2х-5 6. C. 12x/2x –5 С. D. V2x-5 - O A O…

A:

Q: solve in R the inequation Vx +4 < x + 2

A:

Q: What is the particular solution for y′=6e^x+7x^3−7x+1 y(0)=−4?

A:

Q: 10. The y" of y = (2x¹ + 4x³)(3x¹ − x³) is - a. 336x6 +420x5-120x¹ C. b. 336x5 +420x4-120x d. 48x7…

A:

Q: 3 (x²-2y+xz) dydzdx = 0. -2 1

A: see 2nd step

Q: fx+ h) – f(x) otient, fx) = -2r² - Sx – 8

A:

Q: Solve (x + 2)x 4 geometrically by constructing a line segment of length x .

A: We can expand it by multiplying x inside bracket then it is parabola equation then draw the parabola…

Q: A fast-food restaurant has a cost of production C(x) = 12x + 126 and a revenue function R(x) = 5x.…

A: The profit function is the difference of the Revenue function and the Cost function. The company…

Q: Show-= x2 y2 = 1 is r² = b2 a2 b2 1-е2 сos2 0

A: To show  x2a2−y2b2=1 is r2=−b21−e2cos2θ

Q: 9-2-y (x² + y² + z*)% dzdydx

A: Given integral is ∫03∫09-x2∫09-x2-y2x2+y2+z212 dz dy dx Take  I= ∫03∫09-x2∫09-x2-y2x2+y2+z212 dz dy…

Q: Solve the initial condition problem: f"(x) = 60x³ + 24x², f(2) = 239, f(-3) = 254

A: f''x=60x3+24x2 take integration  ∫ f''x=∫ 60x3+24x2dx f'x=∫60x3dx+∫ 24x2dx f'x=60x44+24x33+C…

Q: b. Solve y = -x³ + x² + x- 3 and y = x-3 using Substitution Method. I

A:

Q: f fx)=3x²-2x and g(x)=2x-3, find (fog)x)

A: solve

Q: The sum of f(x)=9x^2+2x+8fx=9x2+2x+8 and g(x)=7x+4gx=7x+4 is?

A:

Q: 4. f(x) = x4 -4x -9x2 + 16x+ 20; r= 2

A: Put x=r to verify ,whether it is factor or not

Q: 12) lz) - 3x - 2r glx) - 3x - 5 Find (f gX1)

A: Due to Bartleby guidelines, only 1st question can be answered if multiple questions have been asked.…

Q: How do I solve

A:

Q: f(x) = - 4.5x² 4.5x2 + 20x + 6: 3

A: Consider the function, fx=x33-4.5x2+20x+6 i) Differentiate the function w.r.t. 'x' as,…

Q: Does x =12 satisfy the equation 16 - 1/2x = 3/4x +1?

A: Given equation,  16-(1/2)x=(3/4)x+1 X=12 satisfy the above equation if L.H.S of above equation is…

Q: 1. Solve [6x²e*, 35x-3,x>0 ,x<0 [w(x)dx if w(x)= а. b. 3cos 2xsin 7xdx

A: we have to solve the following Integration ,  a) ∫-11w(x)dx if w(x)=6x2ex3,x≤035x-3,x&lt;0b) ∫3cos2x…

Q: g(x,y)= 4/4y-6x^2 {(x,y)|y doesn’t equal?

A: Given g(x,y)=44y-6x2 We need to find those values of y for which the function will not exist.

Q: -2x *(6x-15x² +9x) =x'e* D² -D+3 true Error

A:

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.