The figure shows the graph of a quadratic function y= f(x). Use it to find the minimum value of f(x). Ay 18 14 12 10 18 (4,4)4- 12 -141210-8 -6 -4 -2 2 4 6 8 101214

Q: What is the global minimum of the function, x² 5 f(x) 3 + 2 on the interval [-2, 2] ? a) 2 b) 23 3…

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Q: find a so that f (x) = ax2 + 8x -8 has a minimum value of -24

A: According to the given information, it is required to find the value of a so, that the function f(x)…

Q: Find any relative maximum or minimum points of the given function. y = 2 + 8x - x2 O Maximum at (4,…

A: We can find the answer as below.

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: 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: Please

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Q: Find a, b, c, and d such that the cubic function f(x) = ax³ + bx² + cx + d satisfies the given…

A: Given f(x)=ax3+bx2+cx+dRelative Maxima:(3,12)Relative Minima:(5,10)Inflection Point:(4,11) To Find:…

Q: True or False: The linear function y = mx + b, where m # 0 has no maximum value on any open…

A: The answer is True.

Q: 7) Find the absolute maximum and absolute minimum values of f(x, y) = 4x+6y - x² - y² on the set of…

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Q: A local minimum value of the function f(x) = 2x3 + 3x2 + 3 is 1) O 2) 4 3) 3 4) -1

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Q: 8. What is the minimum point of the given function y = x² – 6x + 10? B. k = -3 A. k = -1 C. k = 1 D.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Does the function f(x, y) 2 + 6y3 + 5y? – 4x have a global maximum and global minimum? If it does,…

A: Let us first evaluate the partial derivatives of the given function as shown below:…

Q: 85. Find the point on the line y = x that is closest to the point (3, 1). [Hint: Express the…

A: Given: The line y=x and the point 3,1, To find: A point on the given line that is closest to the…

Q: The function f is given by f(x)=9.x^2/3+3x-6 has a relative minimum at x=? A. -8 B.-1 C.-1/8 D.0

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Q: Find the minimum value of f(t) = 5t-30t+40, tz0, and give the value of t where this minimum occurs.…

A: For finding minimum value of the function take the derivative and equate to zero.

Q: Use the graph of the function h(x) to answer the following questions. Does h have a global maximum…

A: This question about maximum and minimum of number

Q: Find the location of the minimum absolute extremum for A. No minimum the function. В. х%3D — 1 Af(x)…

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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: 14. Find the minimum value of the function f(r) = x + 4x + 5. -2 5 1.

A: Given function: fx=x2+4x+5 To determine: Minimum value of the function.

Q: Find a, b, c, and d such that the cubic function  f(x) = ax3 + bx2 + cx + d  satisfies the given…

A: The objective is to find the value of a, b, c, and d. Given:  fx=ax3+bx2+cx+d Relative maximum: (3,…

Q: Find a, b, c, and d such that the cubic function f(x) = ax + bx2 + cx + d satisfies the given…

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Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

A: Given  fx=ax3+bx2+cx+d Relative maximum: (3, 22)Relative minimum: (5, 20)Inflection point: (4, 21)

Q: Please

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Q: Find the minimum value of f(t) = 3t° – 18t + 10, t20, and give the value of t where this minimum…

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Q: z = x? + xy +y2 - y

A: Given  Z = x2+xy+y2-y                ..... ( 1) Differentiating equation 1 w r t x ∂Z∂x= 2x+y…

Q: Determine whether the function fx, y) = 5x2y2 + 4x4y4 has a maximum, a minimum, or neither at the…

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Q: A manufacturing company produces two models of an HDTV per week, x units of model A and y units of…

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Q: Find a, b, c, and d such that the cubic function  f(x) = ax3 + bx2 + cx + d  satisfies the given…

A: To find a, b, c, and d of the cubic function

Q: Let f (x) be the square of the distance from the point (2, 1) to a point (x, 3x + 2) on the line y =…

A: The square of the distance between two points (a, b) and (c, d) = (c - a)2 + (d - b)2

Q: (d) Use calculus to determine the speed that minimizes T. What is the minimum value of T? Convert…

A: Part(d): For finding the minimum T we need to find first the value of a,b and c from the equation…

Q: Find the local minimum value of f(x,y) = 4+ x11 + y11 11zy. %3D

A: We have to find the local minimum value of the function f(x,y).

Q: 4 3.2x Y=x'e write the point where it is the absolute minimum with and Coordinetes. the

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Q: What is the minimum value of f(x) = (x+aXx+b) where x>-c, a>c, b>c? > (A) √a-c+√b-c (C)…

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Q: What is the minimum value of f(x, y) = xy ++? 8. 8. y O a. -6 O b.0 Oc. The function has not any…

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Q: Consider the functionf(x,y)=x2−7x−xy+y2+8y+35 a.Find the values of x∧y that correspond to the…

A: To find the stationary points and minimum or maximum values of the function of two variables

Q: Find the location of the minimum absolute extremum for the function. O A. No minimum Af(x) 6- О В.…

A: We have to find location of graph where it attains absolute local minimum

Q: Use calculus to find the x-locations of the local maximum and local minimum values of S(x) = (½)x°…

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Q: Please

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Q: 01. What is the point of the minimum of the function y = 4x? + 4x – 15? А. (0.5,-16) В.(-0.5,-16) С.…

A: Given:- y= 4x2 +4x –15 Find the point of the minimum of the function Now, Let the point are (x, y)

Q: Let g(x,y)=3x2y+y3−3x2−3y2+1. Determine the points where the function g(x,y) has the local maximum.

A: Suppose that (a, b) is a critical point of f(x, y) and that the second order partial derivatives are…

Q: f(x) = x² – 4mx + 6 %3| 7- Since the local minimum value of the function is -30, m = ? (m will be…

A: The given function is; f(x) = x2-4mx+6

Q: Find the maximum and minimum values of the function f(x, y, z) = x²y² z? subject to the constraint…

A: Given function is fx,y,z=x2y2z2 subject to constraint x2+y2+z2=49 We have to find the maximum and…

Q: Find (i) P (X 0.3.

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Q: Please

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Q: 5. Argue that the function f(x, y) = x²y(5 – x² – y?) has an absolute maximum in the first quadrant…

A: 5.    f(x, y) = x2y (5-x2-y2)∂f∂x= 10xy -4x3y-2xy3∂f∂y = 5x2-x4-3x2y2∂f∂x=0  ⇒10xy -4x3y-2xy3=0…

Q: Consider the function f(z) = z – 98z + 3, - 6 < z < 15. This function has an absolute minimum value…

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