Q2/ Find ft) for cach of the following functions 768 a- F(s) = %3D (s2 +8s+15)2

Q: Q3: Find f'(5) for f(x) = x³e-x, h= 0.01 using three points formula, compute the error

A:

Q: c. Use antidifferentiation to find f (x).

A: Since, we have asked for solving part-(c) only.Since here it is given that f'(x)=x2 ln x -(i)Here…

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³;

A: We have to find the dydx of the given function.

Q: Find the interval(s) where f(x) = 2x° – 15x? + 36x – 27 is increasing. -

A: The given function is fx=2x3-15x2+36x-27. The main objective is to find the intervals where the…

Q: 3. Determine the coordinates of the hole(s) in the function below. x² + 10x + 21 f (x) = х2 — х — 12

A:

Q: Find dy for the following functions. y=6x2

A: We have the given function as   y=6x2 We have to differentiate it

Q: Find the total change of f(x) between x = 1 and x = 3, when df = 3x² + 2x

A: NOTE: Refresh your page if you can't see any equations. . here we have the given values of x are…

Q: Find the total change of f(x) between x = 0 and x = 2, when df = 4x² + 3x.

A:

Q: Q5 A) find dr for the function y x'+ Inx

A:

Q: Q1: Use third order Lagrange interpolation to Find the value of f(x) when x = 27

A: Given the data

Q: The revenue R of skiing facilities in the united states from 2000 through 2008 can be modeled by…

A: Given, R=1548e0.0617t So, the rate of change of revenue with respect to time dR/dt =  1548 *…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where the marginal return starts to diminish. Point of…

Q: df nd the total change of f(x) between x = 1 and x = 4, when dx 34 3 32 3

A:

Q: 1. Plot the function f(t)= (x+5) for -35 x 3. 4+3x2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q2:Find the relative extrema of f (x) = 3x³ – 5æ³ Suhmit

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: d°y dx6 for the following. F(x) = x’ – 8x²+2 Find -

A: y = f(x) = x7-8x2+2 We have to find the 6th derivative of y with respect to x.

Q: Find d2y/dx2 for the following function. y=e7x^2

A:

Q: 2. What is the range of the function (x) =-x– 10 if the de А. 28 В. -32 С. -28 D. 38 3. What would…

A: Given that: 2. f(x)=13x-103. f(14)=4x2-5x+3

Q: The cube root parent function y = Vx has been transformed a) 2.

A: given graph

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Put second derivative zero

Q: Q3- Find the functions f.g s.t fog3 (x+1)5

A: fog =(x+1)^5

Q: Find for the given function. w= 10z2 e?

A:

Q: 1. Plot the function f(t): (x+5) for -35 x 5. 4+3x2

A: Plotting graph by finding slope.

Q: Give the formula for f(n) (x) where f(x)= 1/(3x-1)

A:

Q: At which integer value of x are the functions y + 12 and y = A closest to being equal?

A: solve the above question by two type: 1) Graphically:

Q: Find f'(a) for -7 f(x) = V11 – 9a f'(a) = %3D

A:

Q: Find the value of x. x+1 M K in

A: In the given fig, we have two triangle ∆LMK an equilateral triangle And  ∆ JMK  an isosceles…

Q: Find f(t). 2s s3 ]) «(-| f(t) =

A: Given that  Inverse Laplace of {e^(-2s)/s^3) To find Laplace transformation

Q: Q5 A) find dr for the function y = x' + Inx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find d3y of the function y=xln1/x.

A: Given: Calculation:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given problem:- Find the point of diminishing returns (x,y) for the function R(x), where R(x)…

Q: 4. What value of x would make f(x) = 12? %3D

A: Given:  f(x)=12 We have to find the value x would make f(x)=12.

Q: Q11: Let f(x)=xr° + 3x³ d +x-10. Find dx (5"(48) .

A:

Q: Calculate R3 and L3 for f(x) = x² – 7x + 7 over [1,4]. (Give your answers as whole or exact…

A: see 2nd step.

Q: Find f(4) using forward, backward and central difference of: (3- 2x)2 f(x) = +2 Stap si02

A:

Q: If f(6) = 11, f'is continuous, and f '(x) dx = 20, what is the value of f(7)? (7) =

A:

Q: Find the point of diminishing returns (x.y) for the function R(x), where R(x) represents revenue (in…

A:

Q: Answer: f'(x) = b. f(x) = In (x – + 15)

A:

Q: If f(2) = 11, f' is continuous, and f "(x) dx = 18, what is the value of f(4)? f(4) =

A: Solve the given problem.

Q: 1. Plot the function f(t) = (x+5) %3D 4+3x2 for -35 x 5.

A:

Q: The Range (Ry) of y = v9 – x² is : - a. [0.] b. (0,3) C. [0,3] d. (0,9)

A: Given that y=√(9-x^2) To find The domain of y.

Q: Q3) Draw the following functions: (3-x, xS1 5, 1sxS0 2x,x >1 1)f(x) = EX 2)y = sec

A: We have piece wise defined function fx. we have to Draw the function by giving inputs x from defined…

Q: Q2\Find T.E of the function f (x) = e2x when a =2?

A: Given that  f(x)=e^(2x) To find teh T.E

Q: Find f'(a) for f(x) = -3+ 10z – 4æ². f'(a) =

A: We have to find the derivative

Q: Find a,b to continue the function at x=3 if: ax + b f(x): = 2ab + 1 bxa + 3 x > 3) x = 3 x < 3)

A:

Q: Q3: Find for the following functions: - dx csc-/3 5x

A:

Q: 5. L-. s² – 4s +13

A: Here F(s) is given and to find f(t). F(s) is the Laplace transform of f(t) and f(t) is the inverse…

Q: Q1: Find the maximum error for the function fr.y.2)- 3xyz, where -1-0.01. y - 2:0.03. -320.04

A: Since you have posted 2 questions in single post, here i can give only Ans. 1 please repost the…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

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.