f(x) = -0.1x4 - 0.15x3 - 0.5x2 - 0.25x + 1.2 at x = 0.5 using: first backward difference with h=0.25

Q: Find the point of diminishing returns for the revenue function where x is the amount spent on…

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Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

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Q: Examine the function f(x, y) = −3x² - 4y² + 15x - 8y + 5 for relative extrema.

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Q: Does y' = −4(y − 5) have a solution that tends to∞as t →∞?

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Q: If y2 is negative, then y1 + y2 will lie _______ y1 by a distance equal to ____.

A: If y2  is negative, then y1+y2  will lie _______ y1  by a distance equal to ____.

Q: The marginal cost (in dollars per box) of producing the xth box of HDMI cables is C'(x)=-…

A: To find the function of C(x) we integrate C'(x) c=integrating constant

Q: An Object moved in horizontal coordinate line according to f(x) = x^3 - 6x^2 , where f is directed…

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Q: determine L−1[F].

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Q: f(x)= x2/5 Where it concave up/down?

A: To find the concavity of the given function.

Q: A company which produces scooters has revenue (in dollars) given by R = 300x – 0.02x², where X is…

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Q: Solve for the domain and range of. f(x,y,z) = %3D V4-x2-y²

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Q: Examine f(x,y) = 2x2 - 4x +xy2 - 1 for relative extrema?

A: Calculate fx, fy , fxx , fyy , fxy for f(x,y) = 2x2 - 4x +xy2 - 1 as follows. f(x,y) = 2x2-4x+xy2-…

Q: A molecule is moving along the x-axis such that at any timet > 0 (in seconds), its position from the…

A: Position of molecule from the origin at any time t is given as:

Q: the marginal profit function for a companyy is  MP(x) = -30x + 920 and P(8) = 6500 What is the…

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Q: solve for the function, x^3- 0.03x^2+2.4x10^-6=0, assuming stopping criterion of es=0.1

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Q: Find the interval(s) where the function y = x – 2x² – 7x + 2 is concave down. Justify your answer.

A: Find the double derivative of y and then equate it to zero.

Q: The slope of the curve y =x' + 3x² – 4x+5 at (1,5) is O a. 0 O b. 2 O c. 5 O d. 4

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Q: At what interval is y= 2x3-3x2- 36x + 14 increasing? Decreasing?

A: Question is solved.

Q: Is F =Y. x> x+y? conservative

A: Proceed as shown

Q: The ABC Company has determined that the cost of producing x widgets per weeks is C = f (x)= 2000 +…

A: C=fx=2000+100x-0.1x2 To find the cost of producing 100 widgets, put x=100 in cost function. That is,…

Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: 14. The f'(4) for y = v3x2 + 1

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Q: f(x) = between x = 2 and x = 9 using the "midpoint rule" with two rectangles of equal width.

A: Given function, f(x)=1x  bounded between x=2 and x=9 The lower limit, a=2 and the upper limit, b=9…

Q: -2 Write the equation for the linear approximation of g(x) = In(vr² +5) based at x =-2. Justify your…

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Q: Apply the Gauss-Seidel method to the system

A: the Gauss-Seidel method to the system x1 - x2 = 1 and 2x1 + x2 = 5 with initial approximation [0  0]…

Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−1/3x, and the line perpendicular…

A: We have to find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line…

Q: Use the Midpoint Rule with n = 5 to approximate x dr - 2

A: We have to find the approximation of the given integral using Mid point rule.

Q: eY+Ve2y-4 5. x = In sove for y“ 2.

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line perpendicular…

A: Recall : Area of the triangle with three points x1,y1,x2,y2 and x3,y3 :            A=…

Q: Suppose that the demand x (in units) for a product is x = 16,500 – 150p, where p dollars is the…

A: It will be max where dE/dp will be 0.

Q: y" – 4y' = x2 By used Variation of Parameters Metho

A: Topic:- differential equations

Q: The marginal cost of producing x tablet computer is c'(x)=140-0.04x+0.00002x^2. What is the cost of…

A: We have given The marginal cost: c'(x) = 140-0.04x+0.00002x^2.

Q: The profit in dollars from the sale of x thousand compact disc player is P(x)=x3-7x22x+8. Find the…

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Q: y = x2 - 2x over the interval (0, 2]:

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Q: Suppose that the demand x (in units) for a product is x = 7,500 − 150p, where p dollars is the…

A: Given demand function x (in units) for a product  x=7500-150p where p dollars is the market price…

Q: Find the function​ y(x) satisfying d3y/dx3=36, y′′(0)=14, y′(0)=5, and y(0)=8.

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Q: When a bus pass from Albuquerque to Los Alamos is priced at p dollars, a bus company takes in a…

A: (a)

Q: dx What is the best substitution to evaluate V2x 2х - х* |

A: Given I=∫dx2x-x2If we consider x=1+sinθ and dx=cosθdθthen,I=∫dx2x-x2=∫cosdθ2(1+sinθ)-(1+sinθ)2

Q: Suppose z – 2z +x=5, What is the value of y ?

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Q: ou have estimated the cost function for producing q items will be C(q) = 29400 + 16q, and %3D expect…

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Q: y (t² + 7t + 5) (5t² + 3), tin fir dy

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Q: f(x) = v2x2 – 13 s %3D -

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Q: Write down a solution to y' = 4(y − 5) that tends to −∞ as t →∞.

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Q: Find f(-5e3* + VE)dt

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Q: The monthly demand for insulated coffee mugs is given by q= 4400 − 200p, where p is the price of a…

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Q: The total revenue in Php received from the sale of x units of children toy is given by R(x) = 3x² +…

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Q: Solve for y in terms of x for the foltowing

A: e(ln2)y=12lne(ln2)y=ln12yln2=-ln2y=-1

Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: Q2 Find2 of y = 4x/x+ vã at x=1? %3D

A:

Q: Solve for the domain and range of. f(x,y,z) = V4-x2-y?

A: