If g(x) = x3 and h(n) = 4n − √(n), what is (h ◦ g)?

Q: If f(x)=ln(3x^3+4x^2+x+4)

A:

Q: 5. Eliminate the arbitrary constant on the given equation: -4xy? + x°y2

A:

Q: Differentiate

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 4 t2 – 4 dt -1

A: We have to find the integral using piecewise method.

Q: If f(1) =1 and f (x) 2 3 for 1 <x < 3, how small can (3) possibly be?

A: We will find the smallest possible value of f(3) as following.

Q: 9. h(x) = (x2-4) (x2-1) 10. g(x) = %3D -5x-23x3-25x2-x+ 6

A: According to the Q&amp;A guidelines, one question can be answered. Please repost other questions…

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C?

A:

Q: What is the value of f(1) - 16B in ∫x^3 lnx dx= f(x) ( (1/4) lnx - B ) + C

A: To find out the required value.

Q: Find f(x) by solving the initial value problem s'(x) = 4x2-5, f(0) = -3 %3D

A:

Q: 1. GE = 2x – 7 and GF = x + 4. What is GD?

A: Given figure is: In △GBF and △GBE, we have ∠GFB=∠GEB                    Each 90°∠FBG=∠EBG…

Q: Given h(x)=4x+3h(x)=4x+3, find h(-1)h(−1).

A:

Q: 5 [f(x) + 7g(x)]dx if 5 | fx)dx = 3 and / g(x)dx = -8. -3 -3 5 (f(x) + 7g(x)]dx = -3

A:

Q: What is the particular solution for y′=−2e^x−3x^2+x−4 such that y(0)=1?

A:

Q: If h(X) =n) 3+3F(X) where FC1) =7 and f'(1) what is h'LI) ?

A: If h(x) = 3+3f(x)   where f(1) = 7 , f'(1) = 2 differentiate h(x) with respect to x.   then put x=1

Q: 3 Given that f(x) = 3x + 7 g(x) = 4x + 5 and h(x) =3x-5 2x 13 find hf(x)

A: Explained below

Q: 5. Solve xdx + ydy а? (хdу-ydx) x2+y2 using exact D.E method.

A:

Q: x" – 2x' + 4x = d(t – 1) x(0) = x'(0) = 0 - -

A: For solving this question we use the table of Laplace transform and properties of Laplace transform…

Q: If f(2) = 15 and f (x) > 2 for 2 s x s 4, how small can f(4) possibly be?

A:

Q: 2 Find [f(x) + 5g(x)]dx if 2 |f(x)dx = 8 and / g(x)dx = -1. -4 [f(x) + 5g(x)]dx = i -4

A:

Q: Find the antiderivative of f(x) = x³ – 6x +7

A: fx=x3-6x+7 to find the antiderivative, we need to take an integration Fx=∫ fxdx

Q: %3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.

A: Definite integration

Q: Suppose x E R. If x³ – 4x4 + 3x3 – x² +3x – 4>0, then x2 0. - |

A: Given that x∈ℝ. We have to prove the statement "If x5-4x4+3x3-x2+3x-4≥0, then x≥0" by using…

Q: ,if 0<x< n2 ) = }e** ,if 0 < x <n2 0, otherwise 8x+2 f(x) :

A: The range of x is (0 π^2), is it right?

Q: If a F (2) = xy+i (x² – y²), what is F (-1+2i)?

A: given  F(z)=xy+i(x2-y2) To find the value of  F(-1+2i)

Q: When solving S3x – 2y = 5 ly = 3x – 3 by the substitution method, we obtain x = , so the solution…

A: Given equations are: 3x-2y=5......(1)y=3x-3......(2) Get the value of 3x from the equation (1)…

Q: find the general antiderivative of f(x)=4x+7

A: Given : fx = 4x + 7

Q: Find f(x) by solving the initial value problem. f'(x)=3x2+4x-3; f(2)=4

A:

Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

A:

Q: If f(x) = 4x² ln(7x), then %3D f'(x) = f" (x) = f" (x) =

A: The given function is: f(x)=4x2ln(7x) so, f'(x)=4x2ddx(ln(7x))+ln(7x)ddx(4x2)…

Q: - Given that x -1 is a factor of f(x) = ax'+ bx- x+ 2, a, b ER, find the values of a and b. hence…

A: x2-1 i.e., x-1 and x+1 both are factors of f(x). So, f(1)=0, f(-1)=0 f(1)=a+b-1+2⇒a+b+1=0…

Q: Find the antiderivative of f(x)=x3−6x+7

A: Given: f(x)=x3-6x+7

Q: From Variation of parameters for the 2 -1 X' X + e 3 -2

A:

Q: Find the general antiderivative of f(x)=3x– 4x'+15e*.

A:

Q: 20. f(x) = In x + 2e 3x2

A: Topic = Derivative

Q: on points of f(x) = 4xª + 38x³ – 30x² + 10. (Give your list e g 3.-2) answ

A:

Q: If 0.3 is added to 0.2 times the quantity x − 3, the result is 2.5. What is thevalue of x?

A:

Q: When f′(x0f′(x0) =0, then Newton-Raphson method fails.

A:

Q: Solve the following LP problem using graphical method. Max z = 3x₁ + 4x₂ Subject to 2x₁ + x₂ < 10 x₁…

A:

Q: Find f by solving the initial-value problem. f'(x) = 6x2 + 8x – 9; f(2) = 4 %3!

A:

Q: Given f(x)=x² + 5x + 6, what is (2+)-7 O² + 14h 02x+h+5 Oh+4 09+h equal to?

A: Put value in function and then solve

Q: Determine the general solution of y" - y = 0 given y₁(x) = e-2x using reduction of order

A:

Q: A particular solution of x¨ − 3x˙ + 2x = t2 + 1 is given by

A: given that x''-3x'+2x=t2+1. we need to find the particular solution for the given differential…

Q: dy 1. Determine the general solution of x = 2 – 4x3

A: since u have asked multiple question in a single request so we will be answering only first…

Q: 1+x² »" – 2xy' + 2 y = 0 y (x)=x

A:

Q: Solve for (f o g)(x) , when x = -1 f(x) = 5x + 1 g(x) = 3x - 4 Solve for (g o f)(x) , when x = -1…

A:

Q: can you prove E(x^2) = Var(x)+[E(x)]^2 ?

A: Variance:The expected squared difference between a random variable and the mean can be termed as…

Q: 1. Find fog. f (x) = -4x + 6 A) (fog)(x) =-5x B) (fog)(x) =-4x² + 30x – 36 C) (fog)(x) =-4x + 30 g…

A: f(x)=-4x+6g(x)=x-6

Q: a²(xdy-ydx) x²+y2 5. Solve xdx + ydy = using exact D.E method.

A:

Q: If f(x) = x²+4 and h(x) = 3x – 4, what is f(h(x²+4))? O9x*+68 O9x* + 60 O9x*+ 48x2+ 68 Oex*+ 48x? +…

A:

Q: Use Gauss-Seidel Method with E< 0.0001 to solve 3x1 - 0. 1x2 - 0. 2x3 = 7.85 %3D 0. 1x, + 7x2 -…

A: Total Equations are 33x-0.1y-0.2z=7.850.1x+7y-0.3z=-19.30.3x-0.2y+10z=71.4From the above…

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.