Find the maximum and minimum points in the curve, and identify intervals where the function is increasing or decreasing. Show complete solution.   y = x4 − 6x2

Q: Find the x-intercepts of the given function.  y = 3x2 + 10x + 3

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Q: If a and b are positive numbers, find the maximum value of f(x)= xa(9 − x)b on the interval 0 ≤ x ≤…

A: To find the maximum value of f(x)

Q: Find the maximum and minimum values of the function f(x, y) x?y subject to 3x² + 4y? = 36 = Maximum…

A: Since the constraint's graph is a circle, which is a closed loop and f is continuous in R2 , there…

Q: (a)Find the inflection point(s) and (b) local minimum and maximun f(x)=x4-50x2+6

A: forcriticalpoints.

Q: Find the maximum or minimum of the function. y = −x2 − 6x

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Q: (a) Find the length of the curve -√√u - 1du, 1 ≤ x ≤ 64.

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

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Q: (a) Find the points of inflexion of the curve y(a² +x²) = x³

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Q: Find a, b, and c, so that the graph of the quadratic equation y = ax + bx +c passes through (-2,14).…

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Q: If a and b are positive numbers, find the maximum value of f(x) = xa(5 − x)b on the interval 0 ≤ x ≤…

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Q: Find the extreme values and determine whether they maximum or minimum  z=x^2+xy+2y^2+3

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Q: Suppose that |(3x4-x2) dx=Ax+Bx³+C, for constants A, B, C. What is the value of C if the curve…

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Q: Find the minimum value for p(x) = -x2 – 24x on the interval [-6,-1]. JUSTIFY YOUR ANSWER.

A: px=-x2-24x Differentiating with respect to x, we get p'x=-2x-241=-2x-24 Now to find critical values,…

Q: Given f(x)=x^2-6x+1 find the vertex, line of symmetry, minimum or maximum value, x intercept, and y…

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Q: Find the x-intercepts of the given function.  y = 2x2 + 5x + 2

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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: Y = 1. Draw the given optimization problem and solve. Find the area of the largest rectangle (in…

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Q: 3) Find the minimum and maximum values y = 2x5 +5x² on the interval [-2,2]

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Q: Find the quadratic function y = ax + bx + c whose graph passes through the given points. (-1,-5),…

A: I am sorry to say that According to our guideline we can answer only one question at a time. Other…

Q: The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0? %D

A: Given,          The graph of y=fx is shown below :

Q: f(x) = 3x2 - 5x + 7  find the minimum value of the function

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Q: Find the x-intercepts of the given function.  y = 4x - 4x2 - 1

A: given the function: y=4x-4x2-1For finding the x- intercept , y=0

Q: Find the maximum point, minimum point, and inflection point 1. y = x³ - 3x? + 8

A: Given query is to find maximum, minimum and inflection point.

Q: Find the absolute maximum and minimum for the given pair. 4 5

A: To find out the absolute maximum and absolute minimum.

Q: Which of the following equivalent forms of the equation y -4x -12x-7 can best be used to find the…

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the given function. (If…

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Q: (a) Find the length of the curve y=[^ √√√²-1dt, 1≤x≤ 16.

A: To find the length of the curve.

Q: Find the length of the curve. y = 6. 10x3' 1 < x < 3

A: Given to find the length of the curve first differentiate it. Square on both the sides and add one…

Q: Use the intermediate value to determine whether the rolling equation has a solution or not. IF SO,…

A: Intermediate value theorem states that If f(x) is continuous on any interval [a,b] and k lies…

Q: For what value x does the maximum or minimum of f(x) occur? Is the point a maximum or a minimum?…

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Q: To find the x-intercepts, let y be zero and solve for x. (0) x- 49x %3D 0 = x(x2 - 49) = x(x2 - 72)…

A: From the second step we see that

Q: Given g(x)=−2x2 +x−1, find the absolute maximum over the interval [−2,4].

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Q: -. Which equation shows the minimum or maximum value of f(x) without changing the form of the…

A: Please refer the attached image for complete solution.

Q: Find maximum and minimum points of the following function: y = 3x? – 2x +1

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Q: Find the extreme of the values of the function  y = x2 - 2x + 1

A: Given:y=x2-2x+1

Q: Use a graphing device to approximate to two decimal places, the value of x where the graphs of the…

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Q: Given the function y = 3 – 3x, what value of z in the interval [-3, 3] will give the absolute…

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Q: Find an equation for the slope of the graph of y= 2x + 5x2 -2x at any point. Am= 6x2 Bm= 6x2 + 10x…

A: Given y=2x3+5x2-2x

Q: Find the maximum and minimum points in the curve, and identify intervals where the function is…

A: The solution is given in the next steps.

Q: Find the maximum of Q=xy if x+y= 56. The maximum value of Q is Q =

A: Given that x+y = 56 And Q = xy We have to find the maximum value of Q.

Q: Given h(x) = -2x² + x + 1, find the absolute maximum value over the interval [-3, 3].

A: To determine the absolute maximum minimum.

Q: d) Locate and identify the stationary points in the function y = x³ - 4x² + 2x

A: Finding stationary points

Q: The point P(4, -2) lies on the curve y = -

A: As per our guidelines, we are supposed to answer one question at a time. Kindly repost other…

Q: Find the value of x for which the value of the function f(x) = x + 3x2 - 2 is minimum? Answer.

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Q: Find the quadratic function y = a x 2 + b x + cwhose graph passes through the following three…

A: Consider the given function y=ax2+bx+c

Q: The function f(x) =px²-qx+ 32, p 0 has a minimum value of 0 when x= 4. Find the value of p and of q.…

A: The given function is f(x)=px2-qx+32. To use the minima information of the function, let us…

Q: Given h(x)=−2x2 +x+1, find the absolute maximum over the interval [−3,3].

A: We have to find absolute maximum function  of h(x). h(x)  is given below

Q: The number of photo copies distributed is given by C = 50t² - 200t + 10000, where t is in years.…

A: Here, C=50t2-200t+10,000

Q: Find all points on the x-axis that are 5 units from the point (4, - 3).

A: Solution Given (x1,y1)= (4 -3) y2 = 0          (point lies on x- axis) we know the distance formula…