What is the area of the integral of f (x) = 2within the interval [1, 4]?

Q: . Get the derivative of the given function. 2. y - In 7x

A: Solving the problem by finding the derivative of the function.

Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial wit...

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Q: You are flying in a small airplane at an altitude of 6161 feet. From that second, your horizontal ai...

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Q: Q3. Use Newton's method and find an approximation for the root of the following function accurate to...

A: Here, the given function is: f(x)=x4-3x2-3, p0=1 And, f'(x)=4x3-3(2x)-0=4x3-6x So, p1=p0-f(p0)f'(p0)...

Q: Question: Find the derivative. y = (2x – 5) (-a + 4) 1. Select one: O y' = 3(4 – z) 2 O y' = 3(4 – z...

A: Topic = Derivative

Q: Question d'y if-2x + 7y = 10. Find %3D dx2 Provide your answer below: dy %3D dx2 Previous

A: topic - implicit differentiation

Q: 8. Determine the general solution of the the differential equation: (x + y)dy = (x – y)dx (a) x² – 2...

A: Put y=vx and solve it. 

Q: 5. * S sin(1 – x) (2 – cos(1 – x))* dx A C (2-sin(1-x)5 +C (2-sin(1-x)5 +C+ D. (2-cos(1-x)5 +C (2–co...

A: topic - indefinite integral

Q: Problem 1: An open rectangular box is to be constructed by cutting square corners out of a piece of ...

A: From the figure above; The base of the box that will be created is a rectangle of length = (14- 2x) ...

Q: Given Cost and Revenue functions C(q) = q° - 10q +53q + 5000 and R(q) = - 3q + 2500q, what quantity ...

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Q: Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit. Let p(x) ...

A: Please see the below picture for detailed solution. 

Q: 2. Find the general solution of the given differential equation. dr + rsece = cos0 do

A: The given differential equation is; dr/d(theta) + r sec(theta)=cos(theta).

Q: Suppose f(x) = – 0.5 · x² + 3 graphing calculator (like Desmos function f. a. Determine the interval...

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Q: B. Get the integral of the given function

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Q: Determine the solution of the initial value problem 1. 5y" +y' = -6x, y(0) = 0, y'(0) = -10

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Q: What is the general solution to the differential equation (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0 ...

A: 2xy-y2+ydx+3x2-4xy+3xdy=0

Q: p. Based on your table in part (a), complete the following statements. i. As x → – x, f(x) → - Previ...

A: b) i) As x tends to -infinity , f(x) tends to 0 .  as 1/-infinity =0

Q: Find all the second-order partial derivatives of the following function h(x.y) = 2x e + 7y + 3 дудх

A: Given: hx,y=2xey+7y+3 To find: All the second order partial derivatives of the given function       ...

Q: 12. A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and...

A: Given

Q: wis Two Sides ofatkiangle have lengths a=4 m b=3 Cm but are inckeasing at the rate of 1 /se If the a...

A: A=12absinθDifferentiate w.r.t t0=12dadtbsinθ+adbdtsinθ+abcosθdθdtSubstitute dadt=1,dbdt=1, a=4, b=3 ...

Q: For an exponentially growing quantity that grows at a rate of 4.0% per year, approximate the number ...

A: topic - exponential function

Q: A certain radio active substance has half-life of 38 hours. A. Determine the value of k in four deci...

A: Consider the radioactive decay function, A(t)=A0e-kt  Where A(t) represents the amount of substance ...

Q: b. Find the slope of the curve at the given point. y* = 2x; (648,6)

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Q: Given cost and price (demand) functions C(q) = 100q + 41,000 and p(q) = - 2.1q + 900, What price sho...

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Q: For the function h(x,y) = 7x + 4y find and 5ху - 8 ду

A: Given: hx,y=7x+4y5xy-8   We know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

Q: 1 e. Let A = and C = 2 -1 1 1 i. Find elementary matrices Eı and E2 such that C = E½E1A. ii. Show th...

A: A = 12-11   ; C = -1121We need to find elementary matrices, E1, E2.  -------------------------------...

Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...

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Q: ting factor for the given differential equation is

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the cons...

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Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5q + 6500. ...

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Q: 1. If a stone is thrown vertically upward frosthe surface of the moon with a velocity of 10 meters p...

A: Follow the procedure given below.

Q: The cost of a can of Coca-Cola in 1960 was $0.10. The function that models the cost of a Coca-Cola b...

A: The cost function model, Ct=0.10e0.0576t represents the cost of the Coca-Cola by year. Where 't' rep...

Q: An+1 to determine if the sequence an is strictly increasing or strictly decreasing. Usethe ratio 6n ...

A: This is a series problem

Q: Answer in complete solution in this Differential Equations: (16D7 – 32D6 – 40D5 + 72D4 + 37D3 – 40D...

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Q: The graph of a rational function (2а — 3)(4x + 5) f(x) is shown below. (x) (г — 3)(2а — 3) 12 3 12 1...

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Q: The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airp...

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Q: A body mass 4 kg falls (from at rest) from a medium whose resisting force is numerically equal to 0....

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Q: 3. t dx

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Q: How 4 The Salid shown infigure consists ofa cone of radins (k) and height (hit and a cylinder of rad...

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Q: Set up, but do not evaluate, an integral for the length of r =os(y),0 <r<; using dy 1+ da (a) ds = d...

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Q: Write a polynomial f (x) that meets the given conditions. Answers may vary. Degree 3 polynomial with...

A: topic - polynomials

Q: sin(ln x) Use Squeeze Theorem to evaluate lim x→0+ In(sin x

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Q: 24. Use Newton forward-difference formula and construct appropriate interpolating polynomial and app...

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

A: This is a problem of derivative and expansion of the series. Based on the formula of taylor series e...

Q: Determination of Integrating Factor 2. Given the equation: y(2xy+ 1) = x y' %3D Find the integrating...

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

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Q: Find the indefinite integral using the substitution x = 5 sin(0). (Use C for the constant of integra...

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Q: Determine the focus and directrix of the parabola with the given equation. Sketch the graph, indicat...

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Q: State where the power series is centered. (-1)"(9n – 1) 9 n! n= 1

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