Find k so thatf has a relative extremum at the point wherex = 3. f(x) = %3D 21+k

Q: Consider the following total revenue function for a hammer. R- 48x – 0.01x2 (a) The sale of how many…

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Q: In the feasibility test, the flight movement of a drone is known to have a position function height…

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Q: 2. The graph of a function f is given. Estimate Lf(x)dx using five subintervals with (a) right -1…

A: The graph of a function f is given.  it is not possible to estimate ∫08fxdx using five subintervals…

Q: Find the local minima, the local maxima, and the inflection points of

A: Given,            A(x)=∫3x t dtt2+1

Q: Minimize f(x) = x² + 54 ; using Interval halving method for 2 ≤ x ≤ 6. E= 10-³

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Q: Find the length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: For what value of x does the function f(x) = x - 9x - 120x + 6 have a local minimum? O A. 4 OB. 10…

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Q: Suppose the amount of a certain drug in the bloodstream is modeled by C(t)=8te-0.2t ,then the…

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Q: Find the consumer's surplus if the demand for an item is given by D(x) = 72- x, assuming supply and…

A: solve the following

Q: For æ = 4 the function f(x) = x? + bx +c has the minimum value of -9. Fine

A: The given function is f(x)=x2+bx+c has a minimum value = -9 at x = 4.

Q: Given k E R, the function f(x, y) = kx² .2 %3D [A) a minimum point, if k = 0 (B) a maximum point, if…

A: Given,  fx,y=kx2+k-1y2+12xy Using second-order partial derivative, check for maxima and minima.

Q: Find the maximum sustainable harvest of the given function. f(S) = 24S025, where S is measured in…

A: Consider the given function fS=24S0.25 , where S is measured in thousands Suppose HS be the harvest…

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: The average cost can be calculate as Average cost (AC) =Total CostNumber of units=CxTotal cost =0.06…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

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Q: Consider the following. P = -0.1s + 6s2 + 400 Find the amount s of advertising (in thousands of…

A: To maximize a function first derivative of a function should be equal to zero.  To find the…

Q: Given f(X)=−xe^x whats the root of the linearization of f(x) at a = 4.3?

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Q: Consider choosing x and y to maximise -x-3y, while 1 3y In(3x) + In 3 3 cannot fall below 1.4. What…

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Q: (b) A right-angled triangle has sides of length 3 and æ, and a hypotenuse of length e. Given that (2…

A: Given a right angle triangle has sides of length 3 and x and a Hypotenuse of length l. Given that…

Q: Suppose that t hours after the injection of x milligrams of adrenalin the response is R units, and…

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Q: A cadet engineer works in a manufacturing company that makes floats for ABC commodes. The floating…

A: Given the function fx=x4-8x3-35x2+450x-1001. The root will be given by x4-8x3-35x2+450x-1001=0.…

Q: f(x)=x²-2x Sf(x)dx using four subintervals by on Estimate -1 d M4.

A: Given function is We divide the interval [-1,1] into four sub-intervals with length of each is…

Q: Find the Quadratic approximation of the function at the given value f(x) = 1n(x + 1)     near a = 0

A: Given  The function is f(x) = ln(x + 1)     near a = 0 .   Formula for Quadratic approximation :-…

Q: Find the absolute extrema of h(x)=3x÷2 on {-2,3}.

A: H(x) is the straight line so absolute extrema will be at ends on domain

Q: A cadet engineer works in a manufacturing company that makes floats for ABC commodes. The floating…

A: Solution

Q: An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

A: As we are making a box, its height must be greater than 0. So we have x&gt;0. As the width of the…

Q: Find the relative maximum and minimum values. f(xy) = e 6x2 + 4y2 + 8

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Q: 1. Test z = x + 5xy + 10y? + 8x - 40y for maxima and minima.

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Q: Consider the following total revenue function for a hammer. R = 20x – 0.01x² (a) The sale of how…

A: The revenue function of the hammer is R = 20x-0.01x2.

Q: Find the minimum value(s) of the function f(x) = e* – 2x

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season…

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Q: show steps please.

A: We will find the first two derivatives of F(x) We use the fundamental theorem of calculus To find…

Q: In a certain chemical manufacturing process, the daily weight y of defective chemical output depends…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  where x=total…

Q: For f (x) = 1/4x^4 − 1/3x^3, find the critical values of x, and determine the relative maxima and…

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Q: · Suppose that t hours after the injection of x milligrams of adrenalin the response is R units…

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Q: applications of differentiation/optimization problem - calculus

A: Keeping E and r fixed, we need to maximize the power given by the expression,

Q: Y = 0.75X + 0.0042X2 – 0.00023x3 At what level of X, the output will be maximum?

A: Given: .

Q: 9. Factor and sketch f (x) = -2x° – 10x + 18x + 162x³ + 216x² %3D b) State when the IROC is zero c)…

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Q: Consider the following total revenue function for a hammer. R = 36x – 0.01x² (a) The sale of how…

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Q: Find the set of values of k for which the curve y = (k+ 1)x² – 3x+ (k + 1) lies below the x-axis.

A: We will solve the following

Q: 4. The function f(x) = x³ – 6x² + 9x – 4 has a relative maximum at (A) x = 0 (B) x = 1 (C) x = 2 (D)…

A: Let f(x) = x3 - 6x2 + 9x - 4 Suppose the function has critical point at x = c then If f'(x) &gt; 0…

Q: For what value of k will x + k/x have a relative maximum at x = -2?

A: Given: f(x)=x+kx

Q: Consider the following total revenue function for a hammer. R = 60x − 0.01x2 (a) The sale of how…

A: a) Consider the given revenue function:

Q: For some positive constant , a patient's temperature change, T , due to a dose, D , of a drug is…

A: Given: For some positive constant c and D=Drug Dose  T=Patient's temperature change T=C2-D3D2

Q: Consider the following total revenue function for a hammer. R = 28x − 0.01x2 (a) The sale of how…

A: The given revenue function is Rx=28x-0.01x2. (a) It is known that the maximum value occurs at the…

Q: Consider the following total revenue function for a hammer. R = 44x – 0.01x²2 (a) The sale of how…

A: We have given the total revenue function for a hammer.              R = 44x - 0.01x2  We have to…

Q: Find the în tervals of concavity of the function 2. f(x) = X²(x²+4x-18)

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Q: Consider the following total revenue function for a hammer. R = 36x – 0.01x² %3! (a) The sale of how…

A: Given Data: The total revenue function is: R=36x-0.01x2 (a) At maximum revenue, the derivative of…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: Here we have to find the number of units x that produces the minimum average cost per unit C¯ in the…

Q: Consider the following total revenue function for a hammer. R = 32x – 0.01x² (a) The sale of how…

A: a) R= 32x-0.01x^2 Differentiate with respect to x dR/dx = 32 -0.02x dR/dx=0 =&gt; x= 1600

Q: e demand x, and finc le of x clock radios. oduction level of 160

A: Marginal and Revenue function: (A) The price p and the demand x for a particular clock radio are…