Find all critical points on the curve r – 9x + 1. For each critical point, determine whether it is a max, a min, or neither.

Q: Given h(x)=−2x^2+x+1, find the absolute maximum value over the interval [−3,3].

A: Find h'(x) to find the critical points.The x-coordinate for critical point is (1/4).

Q: Find all the local maxima, local minima, and/or saddle point(s) of the function f (x, y) = x² – 5xy?…

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Q: Find all the local maxima, local minima, and saddle points of thefunction9. ƒ(x, y) = x3 - y3 - 2xy…

A: Consider the provided function, fx,y=x3-y3-2xy+6 Find all the local maxima, local minima, and saddle…

Q: For each problem, find the x-coordinates of all critical points, find all discontinuities, and find…

A: For critical points, do dy/dx= 0 and critical points.

Q: Find all the local maxima, local minima, and saddle points of the function shown below. f(x,y) = 4 -…

A: Introduction: For a function of two variables fx,y, the maxima and minima can also be evaluated. The…

Q: Find the minimum value of f(t) = 2t - 24t +20, t20, and give the value of t where this minimum…

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Q: Determine the open t-intervals on which the curve is concave downward or concave upward x = 2 + t2,…

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Q: Find the minimum value of g(t)=t3−588t+4 on the interval [−7,15]

A: We can find the minimum value as below

Q: If  P=27/47 +r2 , determine the value of r for which P will be a minimum. Use the second derivative…

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Q: Find all local extreme values of the given function and identify each as a local maximum, local…

A: Option C f(0,0) =0 is saddle point

Q: The graph of f(x,y)=+1-39xy has х у O One saddle point only. O One local maximum point and one local…

A: fx,y=1x+1y-39xy

Q: f(x, y) = x? + y? + x²y+4.

A: f (x,y) = x2+y2+x2y+4      fx =0      ⇒      2x+2xy =0   — (1)      fy = 0      ⇒      2y + x2 =0…

Q: Find the absolute minimum and absolute maximum values of fon the given interval. Rx) = x- In(7x), 2…

A: The given function is fx=x-ln7x,  12,2.

Q: Find the critical points of f(x) = x* – 4x + 2, and identify each as a local minimum, a local…

A: For the function f(x)=x4-4x3+2, to identify the critical points, we will use second order derivative…

Q: Find the absolute maximum and absolute minimum values of z€

A: This question can be solved using the concept of absolute maximum and absolute minimum.

Q: The graph of f(x,y)=+ 1 +76xy has One saddle point only. O One local minimum point and one saddle…

A: For the given equation

Q: For the curve y=-r+3x2 -9 , find (a) The intervals of increasing and decreasing of the curve, hence…

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Q: Find all the local maxima, local minima, and saddle points of the function. f (x, y) = 2xy + 10x –…

A: Our Aim is to find all the local maxima, local minima and saddle pointsof the function given…

Q: 8x 25. q(x) = x² + 1

A: by using definitaion of derivative

Q: Find the minimum point for the curve y = x- 4x -1.

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Q: Find the absolute maximum and minimum, if either exists, for the function on the indicated interval.…

A: The given function is: f(x)=x4+4x3-4

Q: On a cosine function y=Acos(Bx)+C, which of the following expressions will always calculate the…

A: The cosine function is  y=Acos(Bx)+C

Q: Find the maximum and minimum values of the following function on the interval [ 0 , 3 ].

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Q: Find the absolute maximum and minimum values of each function over the indicated​ interval, and…

A: It is given that the function f is defined in -1,0fx=2x3-x2-4x+4.Find the minimum and maximum value…

Q: 3. Find the number in the interval E,2] such that the sum of the number and its reciprocal is (a) a…

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Q: Find all the local maxima, local minima and saddle points of the function f(x,y)=3+2x+2y-2x2-2xy-y2

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Q: Find the critical points and determine whether they are minima, maxima, or neither: f (x) = x2/3(1 −…

A: Given: fx=x231-x

Q: Determine the point(s) at which ƒ(x) = x3 - 12x has a horizontaltangent line

A: The points where the tangents are horizontal are the points at which slope is zero.That means,…

Q: Given the curve h(x)=x2−7, find the point on h(x) is closest to the point (57,−7). Enter your answer…

A: topic -curve and distance from a point

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=6-x4y4

A: we have to find local minimum maximum point

Q: f (х, у) — г? + ху + у? — 10 + 10у + 40

A: Explanation of the answer is as follows

Q: Find all local extreme values of the given function and identify each as a local maximum, local…

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Q: find all of the critical points and local maximums and minimums of each function. (c) f(x) = 1+ x4 '

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Q: Find the local minimum values of f , and where they occur. If ƒ doesn’t have any local maxima, write…

A: Consider the given figure. We have to find that whether function has local minimum or not.…

Q: Find all Stationary points of the function  and use the D-test to characterize each Stationary Point…

A: Given:           f(x, y)=xy(x2+y2-1)=x3y+xy3-xy

Q: find all of the critical points and local maximums and minimums of each function. (d) f(x) = |æ+ 5|.…

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Q: Find the values of constants a, b, and c so that the graph of y = ax3 + bx2 + cx has a local maximum…

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Q: (a)Find all maximum, minimum values and saddle points if any of the function (x, y) = x² + xy + y² –…

A: on solving this we get the

Q: Find all maximum, minimum values and saddle points if any of the function f(x, y) = 10xye-(x²+y²)

A: We are given : f(x,y)=10xye-(x2+y2) ⇒∂f∂x=-10(2x2-1)ye-x2-y2⇒∂f∂y=-10x(2y2-1)e-x2-y2for critical…

Q: Find the critical numbers of the function. s(t) = 3t* + 201 - 182

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Q: 1 + y =

A: To solve the following problem, we use the concept of seperation of variable, then integrate both…

Q: Find all the local maxima, local minima, and saddle points of the function. f(x.y) = x° - 15xy + y³

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy – x - 4y² +…

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Q: ) Find all critical points of f(Xiy> and dlassify each as a celative maaimum, celatine minimum, or a…

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Q: 3. Find the number in the interval ,2] such that the sum of the number and its reciprocal is (a) a…

A: Let number = x,  It is given that, the function is = sum of number and its reciprocal