Show that the following function is a concave function on R: f(x,,x,)=-x} - x,x, – 2x² Then, Find the optimal solution to Maximize == f(g,4;)=-4q} -15q +55q, +135q, – 100

Q: Let f (x) = 1z1 -중23-22 + 4z -2. Determine at what point f (x) achieves a local max. If there is no…

A: At the point of local maximum, the first derivative of the function is zero and second derivative of…

Q: 1. f : R → R such that f(x) = 6x + 42 2. f : Z → Z such that f(x) = 7x + 34 3. g : R → R such that…

A: Four real-valued functions are given to check their functional behavior.   NOTE: Kindly note that we…

Q: Estimate f(2.98, –1.99) given that f(3, –2) = 2, f«(3, –2) -3 and fy(3, –2) = -4. = f(2.98, –1.99)

A:

Q: 9) The profit for a manufacturer of collectible grandfather clocks is given by the function P(x) =…

A: Given profit function is P(x)=-2.2x2+240x-355 where x is number of clocks made and sold and P(x) is…

Q: The domain of a quadratic function is (-o, x). O True O False

A:

Q: 10. Differentiate each function. a) y= -3x² + 4x – 5 b) f(x)=6x¬1- 5x=2 O f(x)= 4Jx

A:

Q: Determine which of the points in the following list lie in the domain of the function f(x, y) =…

A: Let's find.

Q: 6. Which of these quadratic functions has a maximum value? * y = 3x2 – 3x+5 y= (3-x)2 Option 1…

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Q: Show that the function (x2+y2 t224이) is a Solution of Loplace's equation d2u dy?

A: It will be solution of given Laplace equation only when, it will satisfy it.

Q: х* - Зx* +2 ,2 y' x? ,2

A: The x-intercept is a point where the y-coordinate of that point is 0. To find the x-intercept put…

Q: Find two positive number whose sum is 15 so that the sum of their square is minimum.

A:

Q: of of and ду For the function f(x,y) = In (7x + 9y), find

A: The given function,     f(x,y)=ln7x+9y

Q: c) What is the actual revenue of the 250 000th CD player sold? (between 250000 and 250001) d) What…

A:

Q: f(x) = x - 4x- 21x is a quadratic function. О Tue O False

A: False

Q: The Maximum Value of the function f (x) = -2x² + 15x – 9 is : Select one: O a. { -3.75, 19.125 } O…

A:

Q: For the function (x) = locate the local maximum(s) and minimum(s). A. local minimum (-V27,7.8) and…

A: The graph is shown below:

Q: For the function f = {(1,6), (2, 16), (3, 22), (4, 29)} find the following : 1. f(3) 2. f(16) 3. The…

A:

Q: Find the absolute maximum value of y-81-x on the interval [-9, 9].

A:

Q: Evaluate the integral (x – 1)ez xp- x² – 2x + 2

A: The objective is to find ∫-∞∞(x-1)eix(x2-2x+2)dx It is known that, eix is an increasing function.…

Q: 9. Find the slope of f(x) = (x+2)2 +5 at the point (3,-4)

A:

Q: While comparing the sales of different brands of cement of the same quality, it is found that the…

A: We have to find the optimum values of X1 and X2.