Solve the problem. Find C(x) if C'(x) = 5x 2 - 7x + 4 and C(6) = 260. 7 A C(x) = x 3. x 2 + 4x - 260 3 B C(x) = x2 + 4x + 2 2 7 C(x) = x2 + 4x + 260 2 7 D C(x) = 을 x3- 극 x2 + 4x - 2

Q: Find (f/g)(x) if f(x)=x+2 and g(x)=x2+4x+4. Choose from the answers below. a) (f/g)(x)=x+2 b)…

A:

Q: If f(x) = −x2 − x − 4, find f(−4), f(0), and f(6)

A: Given that f(x) = −x2 − x − 4 Therefore f(-4) = -(-4)2 - (-4) -4 -> f(-4) = -16 + 4 -4 ->…

Q: A firm’s revenue after selling q items is given by R(q) = 2q3 +36q while the firm’s costs after making…

A: R(q) = 2q3 +36qC(q) = 3q2 −10Profit, P(q) = R(q) - C(q) = 2q3 +36q - (3q2 −10) = 2q3 - 3q2 +…

Q: Js:(Jī - x*) dz = 15/x (A) vX - 15x? +C 2 (B) 5x - 3 + C 4 (C) 2x5/2 _ 5x + C 4 (D) 25x5/2 5x1 + C 4…

A: Given: ∫5x(x-x2)dx

Q: (2x)(x-y+5)(5y)

A: Firstly, we multiply 2x by each term of x-y+5

Q: If a(x) = 4x² – 3 and b(x) =- Vx+3 what is a(b(x))? a(b(x)) = 2x a(b(x)) = = x-9 © a(b(x)) = *=²…

A: We are given: a(x)=4x2-3 and b(x)=x+34To find:a(b(x))

Q: 9(x) = 2x + 3 (a) g(5) 6.

A:

Q: Can you help with #17 a-d ?

A: Given,

Q: and f(a) f(x) = 4x² + 5x² + 6x-7 3 7 2. Find f(x), f"(0), given

A: Given a function f(x)=4x3+5x2+6x-7 We have to the following of the given function, f''(x) f''(0)…

Q: If h(z) = 2x2 - 3r +1, what is h(-2)?

A:

Q: If f(x) = 3x2 - x + 2, find the following. f(3) = 26 f(-3) = 32 f(a) = За — а+ 2 f(-a) = За? +a+2…

A: Given fx=3x2-x+2at x=3 , f3=3.32-3+2=26at x=-3 , f-3=3-32--3+2=32at x=-a , f-a=3-a2 --a+2…

Q: Given the functions f (x) = 3x - x.g(x) =7,h(x) = 9z, find gof(z) O gof(x) = 3-7 O gof (x) = () (322…

A: Composite function is a function in which there are more than one function and value of one function…

Q: (e) 7 x² 3x2-6x x²-4x+4 (f) 1−4+1/2/2

A:

Q: if Pga)ろ-2X+ 6 and f(x)= /x Rind g(x) )-? %3D

A:

Q: If f(x)=4x-1 and g(x)=2x-4, what is (fog)(x)? A (fog)(x)=8x-17 B (fog)=8x²-18x+4 C (fog)(x)=8x-16 D…

A: Given query is to find indicated composite function.

Q: If f (x) = x² +8x, what is the value of f(6)?

A: From the given problem:   fx=23x2+8x   →f6=? means at x=6 fx=? So, f6=2362+86

Q: R(x) = -.722x3 + 19.23x2 - 161.2x + 421.8, where x = 6 corresponds to the year 2006.  (a) What was…

A:

Q: In f (x) = -3x* + ax³ – 4x2 + 2x + 11, if f(3) = 40, What is a?

A:

Q: 1. f(g(2)) 2. f(g(x)) 3. f(f(x))

A: Kindly note, As per the company rule, we are supposed to solve the first three subparts of a…

Q: (x+2)(y-2)=(x-9)(y+5)

A: Open the bracket, we getxy - 2x + 2y -4 = xy +5x - 9y -45

Q: Solve for f(2) f(x)=-3x+3 f(2)=?

A:

Q: The constant term of f(x)=x2+4x3+1 is 1. How can you say that 1 is the constant term?

A: fx=x2+4x3+1

Q: (a) f : dx 6x 1+x4

A: NOTE: Refresh your page if you can't see any equations. .

Q: Suppose f(x)=√x² + 6x +10 and g(x) = −3x + 9. (fog)(x) = (fog)(-1) =

A:

Q: If f(x) = ax² - b, f(1) = -10 and f¹(-4)= 2, what is the value of a + b? a+b=

A:

Q: f (x) = 3c³ -3x² + -3 at x= - 1

A:

Q: fiof)(x) =3 (3x+4) + 4 (2 X=4) +1 2

A:

Q: A-(52-5y3) x (2x² - zx) =

A:

Q: what is f(x) = 5x + 7 and the domain is { 0, 2, 6 }

A: The given function is,                     f(x) = 5x + 7 Domain is given as, {0, 2, 6) , we want to…

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.