Let g(t) = (6 - 2t)5/2. Find a formula for the inverse of g. -VP +6 g1(t) = %3D 2

Q: 1 (e) Find an explicit formula forf (z) the inverse of the function f(x) = V7z- 40 f1(z) = 固助

A: We have function f(x) , and we have to evaluate it's inverse f-1(x) by using following steps Step 1.…

Q: F is directly proportional to a. If F=24 when a=8 find, a when F=18

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Q: Find the general solution of the following Nonlinear first-order ODE. (Show the detail of your…

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Q: Which of the following is an antiderivative of f(x) = * - 2x* + 4

A: we have to find antiderivative

Q: Use the method of Substitution to integrate the following 5s * e^(s^2+4)

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Q: If L(x)=mx+b is the linearization of the cube root of 3x+1 at x=333, then b= Enter your answer as a…

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Q: The exponential form of z = V2+V26 is O 3 ei mi O 3 eimi O 3 e-imi O 9e-imi O 9emi O 3emi O 9 eimi…

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Q: Find a general solution to the following ODE. -3t y" + y' – 6y = e¯

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Q: Find for the function y = In 20 1+ e

A: The given function is y=lnet21+et2. Chain rule: ddtfgt=f'gtg't Quotient rule:…

Q: -25 -3e c) s+2

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Q: s evaluate e of 1. The

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Q: ker(A) = R104 %3D O ker(A) = {0} %3D ker(A) cannot be determined from this information

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Q: The function r'e is annihilated by the operator

A: Given function = x4e-x   The function xn is being annihilated by the operator Dn+1 and the function…

Q: Find the general solution of the given ODE.

A: Given differential equation is y'=1+x1+y2dydx=1+x1+y2dy1+y2=1+xdx

Q: f (x) = 0 f (x) = (x² + e7+1 – 4)³ 3 at [-2, 0]. %3| - Find X such that where What will be the…

A: The bisection method says that for a function f(x) and two numbers a and b if , then, there is at…

Q: Find a general formula for dr ax + b dx" cx +d

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Q: 4. h(w) = ew*-3w²+9 5. g(x)= In(x-4+x*)

A: Using this formula we shall solve the problem

Q: Df = ƒ + 2x 3. Consider the ODE, with J (0) X1 = 1 f (2) Suppose and 91 = 2 Multi-step Method.…

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Q: Work out the following | (2x + 1)e² -z da =

A: we use substitution method to solve this integration

Q: A- Find the integrating factor of the following D.E 2

A: a) Here we have to find the integrating factor of given differential equation:-  We have,  Compare…

Q: When harvesting apples in a grove, the number of apples harvested increases at a rate of R(t) apples…

A: Here, the rate of harvesting increases at the rate R(t) per hour with t≥0

Q: 3. Derive the reductive formula for S sec" (x) dx.

A: We will find out the required solution.

Q: Find the general solution for the following second-order ODE as a D-operator form: (D² – 3)y = 0

A: The polynomial differential operator is

Q: Find all the constant solutions of the following ODE

A: In this question, we have to find the constant solutions of the differential equation…

Q: Find E(g(X)) where g(x) = x² + x + 1. %3D

A: The E(g(X)) can be calculated as E(g(X)) = E(x2 + x + 1) = E(x2) + E(x) + 1

Q: Find the general solution to the given ODE: y' + 2xy = 6x

A: Please see the solution below.

Q: d is varied directly w with and inversely with p

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Q: Find the general solution of the given ODE x+1 v +1

A: dydx=x+1y4+1 (y4+1)dy=(x+1)dx Integrate both sides ∫(y4+1)dy=∫(x+1)dx∫y4 dy + ∫dy  = ∫x dx + ∫dxy55…

Q: Find ODE having the given function as its general solution. y = ae^x + b ln(x) + cx + d

A: Given y=aex+blnx+cx+d

Q: Find the general solution for the following second-order ODE as a D-operator form (D² – 3)y = 0

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Q: Suppose E(X) = 4 and E[X(X – 1)] = 25.5. (a) What is E(x2)? [Hint: First verify that E[X(X – 1)] =…

A: Given: EX=4EXX-1=25.5 So, a) EX2-X=25.5EX2-EX=25.5EX2=25.5+4=29.5

Q: Then E (X) is equal to

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Q: Find the value of the constant c that makes the following function continuous on (-o, co0). cb + 8…

A: In the interval (-∞, 3], f(b)=cb+8 which is a linear function and linear function are continuous. So…

Q: 3. If f (t) =Vt, g (t) =, and h (t) =2t-4, find the formula for f (g (h(t))).

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Q: Calculate the residue of e.e5=0

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Q: Find the most general antiderivative of the following function. g(x) = = - (1+ a²)-1

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Q: (d) Find a formula for (h o f)(x)

A: From the given problem: fx=3x-5 ; hx=4x3+5x2+2

Q: 3. Compute the iteration for the function f(x, y) = 4x³ + 6xy? R=[1,3]x[-2,1]. on the rectangles

A: Double integral over the function

Q: b). Solve the following ODES using any appropriate technique y = (2y* + 2x) y'

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Q: For the function y = f(x) = 2x + 0: df at x da a. Find f'(-4) = Eind a formula for E-12) 4.

A: Given that: f(x)=2x3+0:

Q: e) Find (g o f)(x)

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Q: Express the statement as a formula that involves the given variables and a constant of…

A: To determine the formula for below statement,  'r' varies directly as 's' and inversely as 't'.…

Q: Find the general solution of the following ODE: y''' − y''− y'+ y = 0.

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Q: Express the statement as a formula that involves the given variables and a constant of…

A: Given: y is directly proportional to the square of x And inversely-proportional to the cube of z x=5…

Q: Fill in the blank. = F(s - a) whereas L eat dt F(s - a) = Need Help? Read It

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Q: the sales revenue of a new mobile phone model is found to follow an AR(1) process, as shown below.…

A: here, xt = 0.7*xt-1 + wt

Q: If the pdf is 22 e&r4x² , 0<x<1 Find K.

A: The total probability is always 1. So, ∫-∞∞f(x)dx=1