Find the average value of f(x) = x²/35 + æ3 on the interval [0,1]. favg %3D Report all answers accurate to 5 decimal places.

Q: Find the inverse Laplace Transform of: s – 1 (s – 2)(s – 3)(s – 4)

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Q: Determine C if u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du 3 0 - 3 27 -1

A: Let's find. 

Q: Write the equation of the ellipse 4x² + 25y? – 40x + 150y + 225 = 0 in standard form %3D (x – h)?, (...

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Q: Find the end points of the minor and major axis for the graph of the ellipse (x – 4)? (у — 6)? = 1 |...

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use ...

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Q: Let U be the set of integers. Let A = {3,6}, B = {3, 8, 10, 12} and C = {6,8,10}. Perform the indica...

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Q: The area bounded by the curves: у-х, у-6-х аnd у-0.5х is:

A: see below the answer and explanation

Q: Find the area of the region between the curves y=x^3, y=-x, and y=1

A: Area=14 sq.units

Q: The height (in feet) at any time t (in seconds) of a projectile thrown vertically is h(t) =-16t2 + 2...

A: We have to find the velocity when hits the ground

Q: Given R(t) =4 cos ti +(1+ 3cost)j + 5sintk. Find T(t). T(t) = sin ti -sintj + costk T(e) = sin ti -s...

A: Given :- Vector R(t) = 4 cos(t)i +(1+3 cos(t)) j +5 sin(t) k To find:- Tangent Vector T(t) 

Q: Using appropriate substitution, csc x cot x the integral S- dx is equal to: e+csc x -Inle + csc x| +...

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Q: How many years will be required for a given sum of money to be 4 times the principal amount, if it i...

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Q: An investor deposits $9,000 into an account that pays 8% compounded continuously, and then begins to...

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Q: dy For = 9 + y and y(0) = 4, use Euler's method with h = 0.1 to approximate y(0.6). dx

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Q: Topic: First order differential equations Analyze what solution you will use whether it is bernoulli...

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Q: Find the area of the region between the curves y = x^3, y = -x, and y = 1. Round off to two decimal ...

A: topic- area bounded by curves

Q: Evaluate the iterated integral. 2 2x 10xyz dz dy dx Jo Jx

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Q: Ex: Find gof, Fex) メ-15 2. gcx) = gox) x+2X

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Q: 1. Show that function f(x)=D|x | is not differentiable at 0

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Write the exponential equation - 10y in logarithmic form. QUESTION 17 5х — 1 Rewrite the expression ...

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Q: dy cos(x + y), when x = 0,y = %3D dx 4

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Q: Find the surface area generated by revolving about the x-axis the curve y=2(15-x)^1/2, from x=0.59 t...

A: Area =integration of 2πg(x) √1+(g'(x)) 2 dx

Q: F ind @ Dlim Ix16/ lim 1-cos 3x 9. 4-X lim (1-secx) lim CosO 9= (9 -) 2.

A: Note :- there is an error in part (a) in this part value of limit is wrong. So i am solving remainin...

Q: The weekly cost C, in dollars, for a manufacturer to produce q automobile tires is given by C = 2300...

A: Answer: The solution is as given below:

Q: v((asina/cosa)+lnv)da + tana dv = 0

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains ...

Q: 2. Let b, = cos and cn = cos for all n e N such that n > 2. Determine whether the given series conve...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find the derivative of v(t) = t5e-d Assume that c is a constant. v (t) =

A: Topic = Derivative

Q: (x – 3y + 3)dx + (3x + y + 9)dy = 0

A: Given differential equation, (x-3y+3)dx + (3x+y+9)dy =0

Q: ar the function f(x) =x - 4, construct and simplify the difference quotient f(x+h)- f(x) %3D h ... e...

A: Given:     f(x) = x2 - 4 

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

A: First I have written Ratio test, then use it to the given series and find that series CONVERGES.

Q: Q6/ Calculate mean, variance and standard deviation of following table: classes frequency 1-10 11 10...

A: To calculate mean, variance and standard deviation of the following table. classes frequency 1-...

Q: Using appropriate substitution, .3 1 the integral J1 x(3+ln(2x))² dx is equal to: 3+ln 6 3+ln 2 3+ln...

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Q: е. f(x) 3D (2x3+ 4)5

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

Q: Calculate the definite integral of x^2 + 4x approaches from 1 to 3.

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Q: * = cos(x + y), when x = 0,y = = %3D dx

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Q: Let P(x)=-x²³+2x2-6x'-5x'-1 and D(x)=x+1 Determine the remainder when P(x) is divided by D(x)

A: The given polynomial is:Px=-x23+2x12-6x7-5x4-1Dx=x+1To find the remainder.

Q: C Given: angle B = 92.5 degrees, side a = 40 cm and side b = 58 cm. Determine the measure of angle A...

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Q: J. 3x²dx Evaluate the indefinite integral. J; , and 9x6–12x3+4 • Identify what is the u=? and du=? S...

A: We have to find the indefinite integral.

Q: Activity 1: Find the value or values of x for which the curve of the following functions has a point...

A: The point of inflection is at x=12

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: In the diagram below, figure b is the reflection of y = 2* in the line y = x. YA y = 2* y = x 3- b 2...

A: Given: - Figure b is the reflection of y=2x in the line y=x, To find: - An expression for the equat...

Q: Activity 1: Find the value or values of x for which the curve of the following functions has a point...

A: Our Aim is to find the values of x for which the curve of the followingfunctions has a point of infl...

Q: (교2 + y? + 1) dz- (2y + y)dy = 0

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Q: EXAMPLE 8, Does the sequence whose nth term is n п + An n 1 - converge? If so, find lim,»oan.

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Q: Given a function r(x) such that r' (x) < -4 on [5, 9]. If r(5) = -9, which of the following could be...

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Q: For the function f(x) =x - 4, construct and simplify the difference quotient f(x+ h)-f(x) .... The d...

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Q: Ou/ Find CoW for the following functions

A: As per Bartleby guideline, we have answered only the first complete question. If you want to get the...

Q: QUESTION 15 At the end of an advertising campaign, weekly sales declined according to the equation-s...

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Q: Solve the following inequality algebraically. Show your work on a separate paper. |x-2|29

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Q: 5x? tan(x) Let f(x) : Find the following: sec(x) 1. f'(x)= 2. f'(3) = %3D

A: The given function is f(x)=5x2tanxsecx We have to find 1) f'(x) and 2) f'(3)