Using the function f(x) = x³ – x² – 3x + 4. 17. Find the interval where the graph concaves upward/downward and the point of infliction (for each stated interval, properly label if it is concaving upward or downward).

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given: R(x)=10000-x3+45x2+700x, 0≤x≤20

Q: 2a. Which is the "upper" curve O f(x) O g(x)

A: Solution:

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A:

Q: Q6. Find ranges of values of x for which the curve y = x* +8x - 126.x² – 11x +187 is concave upward…

A:

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given equation is: y = -3x - 16

Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

A:

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Q: Q3): Does the function r(x, y) = xs -xay² is harmonic?

A: As we know that; the function fx,y is harmonic. If ∂2f∂x2+∂2f∂y2=0 or fxx+fyy=0 Given:…

Q: f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents…

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A: A function is said to be increasing if f'x>0. A function is said to be decreasing if f'x<0.…

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

A: Question is solved.

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where the marginal return starts to diminish. Point of…

Q: V4 – x2 – y? In(y – x) - Find and sketch the domain of f(x, y) -

A: Given,fx,y=4-x2-y2lny-xRoots are:y=-4-x2y=4-x2Domain is: (x,y)∈R2:log(y-x) ≠0 and x<y and x2+y2≤4

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Put second derivative zero

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A: Given that the y intercept of a function f(x) is (0,b).f(x)+k means k units higher than f(x). So the…

Q: d) For the function {: 1- a², x2, 0 1 i) Sketch the graph of f(x) ii) For what values of r, the…

A: follow next step

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Giveny=-5x-14

Q: The slope of the line tangent to the graph of f(x) = 19 – 4x² at the point x = -9 18 8 O 152 72 144

A: Given that: f(x)=19-4x2

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A: To find absolute maximum and minimu , first, we need to find critical points. These are the points…

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A:

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A: This question is related to maxima and minima of function, we will use differentiation to solve…

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Q: For the function f(x) = x*-4x3 +10 (i) Find where the curve is increasing, decreasing and critical…

A: We can solve the given problem using concept of derivative in order to solve the given problem.

Q: Find the absolute extreme values of the function on the interval. F(x) = /x, - 27 sxs 64

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to vield the…

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given problem:- Find the point of diminishing returns (x,y) for the function R(x), where R(x)…

Q: For what x-value is the function y = |x+5| not differentiable?

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Q: Give the interval where y is decreasing y=x²e^x

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Q: The inflection point of the curve x3 y = V7 -x² + 10x + 97 2 6

A:

Q: arke

A: please refer to the image below

Q: 2.Find all the maxima value of f(x, y) = 49 - x2 – y?, on the line x + 3y = 10 %3D ||

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Q: A manufacturer of household items has total revenue given by the function R=18.5x and has total cost…

A: Draw the graph for R and C.

Q: The absolute maximum of the function f(x) = 4x? 12x + 10 over [1, 6]. -

A:

Q: Find the point on the graph of f(x) = Vx that is closest to the point (6, 0). (x, y) = %3D

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Q: The marginal profit in souls that Freddy Krueger makes from haunting nightmares, x, can be modeled…

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Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the…

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A: Rewrite the given function as Y=1000x-x2. Compare the above function with the quadratic function…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given Data: The revenue function is: R(x)=11000-x3+42x2+700x Interval: 0≤x≤20 The diminishing return…

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A: To find: The number of item sold to maximize the revenue R. Given: The demand function is . Formula…

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Q: 6. What is a point of inflexion ? Does f(x) = x' have a point of inflexion at x = 0?

A: Given that,