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: Which of the following functions is one - to - one? A h(x) = x³ – x² –2x B (x)=|2x – 1| © f(x) = x²…

A: 1) for a one to one, function, or any value in it's domain there will be a unique value in it's…

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: 2 9 x - x = (x)} JI a. Write f(x) in vertex and intercept form b. Find the maxima c. Write the…

A:

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

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

Q: Which of the following equations is incorrect? L· (M × Ñ) = Ñ · (M xI) W × ( + P) = -(ỹ × W + P × W…

A: Consider the vector. X→×Z→×Y→=X→·Y→Z→-X→·Z→Y→

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

A: Given,

Q: Match the items in colu A wh the equations of the quadratie fnctions in oolum Column A Colume A…

A:

Q: x² +25 D)+ Xx Evaluate the following integral f (6) A) 4 Inx-21-In/x+31+ C C) 4 Inx-31-In/x+21+ C…

A: We use partial fractions to solve the given integral.

Q: How can you tell by inspection that the equation x/(x + 2) = -2/(x + 2) has no solution?

A: Given that : The equation is xx+2 =- 2x+2 .

Q: 2. Which of the following equations has the same solution as 4(x + 8) = 11(x+1) √√x-2--1 (x-8)=x-7…

A:

Q: (5) The form of the partial fraction decomposition of f(x) B C A) С + x-2 B x² +25 CX+F x²+25 C)+…

A: To determine the form of the partial fraction decomposition  of fx=11x4-2x3-4x2+5xx-2x2+252. Note:…

Q: l6x-5 x²2x-1o 1Əx²-x-6 ax-9 3x+4 12x2-29x+15

A:

Q: If a(x)=2-8x, what is an equation for a-1(x)?

A: Given: a(x)=2-8x To find the inverse replace a(x) with y. y=2-8x

Q: (fof-¹)(x) = 26² 3x 2 -44x+1 2 3(3x² + 4x +) 2 )-1 44

A:

Q: (x²-x) y¹ = (x²+1) y + 12x (x²-1) ³ y' when x = 2, Y = 9

A: Given differential equation is  x3-x y' = x2+1 y  + 12 x x2-13                      ⇒      x3-x…

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: Solve (D2+20D+200)y = 10 O y = e-10x (c₁sin10x + c₂cos10x) + 20 Oy=e-10x (c1sin10x + c₂cos10x) +…

A: Given

Q: c. (x + 3)(x + 8) = x Ex2

A:

Q: Solve for X X(A-B) = M(X-C)

A: Given:

Q: If  x3 + y3 = 30, x+y =6, then 1/x+1/y = ?

A: We need to find,

Q: If C(x) = 9x² - 8, find the following. (a) C(0) (b) c(-1) (c) C(-3) (d) ((--)

A:

Q: _6. If f(x) = 18x² and t(x) = 8x, find_£(x). t %3D а. 9х 4 b. 4x 9 c. 4_ 9x d. 9 4x _7. When f(x) =…

A: Topic :- Functions

Q: If f(x)=x^2−2 and h(x)=4x+5, then f(h(3))=       7     15     119     287     33

A:

Q: If fx) = (1 - x)² and g(x) = 3 - x, find fg(x)) and g(fx)). fg(x)) = g(fx)) =

A:

Q: g(x) = -8[ x + 71 + 7

A:

Q: With f(z) = 5z² – 7z – 2, find the following: a) f(2) b) f(1) + f(0) c) f(r+h) – f(r - h)

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.