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Q: You wish to minimize f(x)=10X(1^2 )-X_(2^2 ). If you use steepest descent starting at (1,1)will you…

A: Consider the given function, fx,y=10x2+y2 we have given the starting point 1,1. Now, ∇fx,y=20x,…

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

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Q: Find the marginal revenue function R(X) = x(19 - 0.02x) R'(x)= [

A: To differentiate a function, we use the following differentiation rule. Sum rule Difference rule…

Q: The integrating factor of the LDE y' = x - 2ycotx is

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Q: Find the length of the curve e^x / 2 + e^-x /2 between x=0 and x=1

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Q: The area of the largest rectangle that can be drawn with one side along the x-axis and two vertices…

A: The diagram below shows the rectangle as mentioned in the problem, The rectangle is symmetric about…

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 3x2 – 4x + 8 has a tangent…

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Q: Find the equation of the normal line (NL) to the graph f(x)=x³ – 4x atx = 3 .

A: We need to find derivative.

Q: A consulting firm, using statistical methods, provided a veterinary dlinic with the cost equation…

A: NOTE: Refresh your page if you can't see any equations. . the average cost function is

Q: Find a point c satisfying the conclusion of the MVT for the given function and interval: y = ex − x,…

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Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 4x2 – 8x + 4 has a tangent…

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Q: The Critical Point of y = xe-*

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Q: Question 1 Find and classify the critical points of the function f(x, y) = y* – 2y² – x³ + 3x.

A: The given function is: f(x,y)=y4-2y2-x3+3x

Q: Is ƒ(x, y) = x2 - xy + y2 - 3 more sensitive to changes in x or to changes in y when it is near the…

A: Partial derivative of f w.r.t a variable is the indicator of the sensitivity of f towards that…

Q: Find the marginal revenue function. R(x) = x(18 - 0.04x) R'(x) =D

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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: 1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving…

A: Given: For any function y=f(x) can be expressed as x=f(y) in standardmathematical methods for…

Q: If the utility depends only on the consumption of x and u (x) = ( 2a¯i + 3) (-4xi +2), is Marginal…

A: Given u(x) = 2x-12 + 3-4x14 + 2

Q: The regression function r(x) = E(Y|X = x) minimizes E(E((Y − r(X))^2)). Is this true or false?

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Q: Find the relative maxima and minima of y by the second-derivative test: (a) y = -2x2 + 8x = 25…

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Q: 7  please answer, type the solution if you can please. or write clearly

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Q: Suppose the cost function is given by C(x)=2e3x. Find the x-value which minimizes the average cost.

A: to find the value of x which minimize the average cost.

Q: 6. Locate the absolute extrema of the function H(x) = - x* Inx on 1 3 2' 2 Give exact solutions.

A: We have to find out absolute extrema

Q: The distribution of P(x,y) on a thin metal plate is given by ²P 2- dx2 = 0 ду? If we use a step size…

A: Given: Distribution of Px,y on a thin metal plate is, 2∂2P∂x2+∂2P∂y2=0 Step size: h=14, k=12   To…

Q: How can we minimize the error of an approximation in a linear approximation at the point (a. ƒ (a))?…

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Q: 10. The line y = 5x – 5 is tangent to the graph of f (x) = (x + k)(x² – x) at the point where x = 1.…

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Q: Solve for Elimination of Arbitrary constant given problem is x^2y=1+cx

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

A: Given:

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

A:

Q: find a point c satisfying the conclusion of the MVT for the given function and interval y = e−2x ,…

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Q: 2) Find all relative extrema of ƒ(x)= x* – 4x³

A: Answer

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

A: given

Q: The marginal cost of the xth box of light bulbs is  10 +  [ln(x + 1)] (x + 1)2,  and the fixed cost…

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Q: What value of b >-1 maximizes f(b) = J - x) dx!

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Q: The cost of health care varies from one country to another. In some country, between 2000 and 2010,…

A: Given that  The function  To find the area between the graphs from x=0 to x=10

Q: a cost function is given by c(x)=200e^-0.5x. Calculate teh marginal cost when x=3

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Q: if we have the following polynomial regression function Yi=5-24X+2(X^2)+ei. then the value of Xi…

A: An estimated polynomial model of y on x of order 2 can be written as

Q: 5. Find each of the two areas bounded by the curve y = x3 – 4x and y = x² + 2x. Solve in two ways.

A: Consider the two curves: y=x3−4x and y=x2+2x. The area of the region bounded in interval x∈a,b by…

Q: The data below were collected by a chemical engineer. Y is filtration time, x_1 is temperature, and…

A:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 184 +0.3x and R(x) =…

A: Given: Cost function=Cx=184+0.3xRevenue function=Rx=4x-0.05x2 To find Marginal Profit function=P'(x)

Q: S1 xe [0,1] f(x) 0 x¢ [0, 1]

A: The given piecewise function can also be represented as, fx=10≤x≤10otherwise Solve for the mean as,…

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

A:

Q: Find the extreme values of the function f at the region of x2 + y² = 4 where: F (x, y) =x² + 2y²-2y…

A: The extrema of the function can be calculated by calculating the derivatives of the function. First…

Q: 4. What is the maximum possible error if T4 is used to approximate | f(x) dx f(x) dx

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Q: 1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 5. Find the local extreme values of f(x, y) = x²y on the line a +y = 3.

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Q: Find the marginal revenue function. R(x) = 3x-0.05x2 R'(x)=

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Q: Find the value of x for which the marginal profit is zero. C (x) = 2x, R(x) = 6x – 1,000

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Q: 9. An equation of the line normal to the graph of f(x)=, at (1,–1) is (a) 2x - y -3 -0 (b) 2x + y…

A: Explanation: Given that  f(x)=xx-2 at (1,-1)   Concept Used: To find the normal firstly find the…

Q: If a company's marginal revenue function is  MR(x) = xe−x/9,  find the revenue function. [Hint:…

A: Consider the given marginal function.