Find the minimum and maximum of 3+3x2-7x on the interval [0,3].

Q: What is the absolute minimum on the interval [-2,1] for f(x) = 6x³ + 6x² – 6x + 14? A 1/3 B) 2 -6 -1

A:

Q: Find the absolute maximum and minimum of f (x)=x* – 2x -x - 4x +3 on the closed interval [0, 4]. а.…

A: fx=x4-2x3-x2-4x+3 Differentiating wrt x, we get  f'x=4x3-6x2-2x-4 Putting f'x=0, we get…

Q: Identify the absolute minimum of f(x)=2x2 +x+1 over [−2,3].

A: The given function is f(x) =2x^2+x+1 over the [-2,3].

Q: Find the number in the interval [−1, 1] such that the sum of the number and its square is a maximum.

A: Given: The given interval is -1,1. We have to find where the sum of the number and its square is a…

Q: what is the maximum/minimum of: f(x)=5x3e-x on [-1,6]

A: Differentiate the given function with respect to x and find the critical points,

Q: The absolute minimum value of the function f(x) = 7x2 - 14z +9 over the interval [0, 8] O 10 O 2 O…

A:

Q: Find the global maximum of f(x) = x(4−2x) over the interval (−∞,∞)

A: Given:The function is f(x) = x(4-2x) .The interval is (−∞, ∞).

Q: Two nonnegative numbers whose product is 25a² (where a 0) and whose sum is a minimum, are

A:

Q: What are the absolute maximum and minimum points of x^3-3x+1

A:

Q: Find global maximum and global minimum of æ3 – 9x? – 48x + 52 on the interval [-5, 12]

A:

Q: Determine a value for p so that f(x)=px2−18x−7 has a maximum at x=−2

A:

Q: Find the absolute maximum value of g(x)= 2x2 −2x−2 over [0,6].

A: We have to find absolute maximum value of f(x) in given interval.F(x) is given as:

Q: f(x) = z²+6x+5 x-1

A: On solving this we will get

Q: Use the IVT to find an interval of length ½ containing a root of f(x) = x3 + 2x + 1.

A: Intermediate Value Theorem If f is continuous on a closed interval a,b, then for every value M…

Q: What is the absolute minimum of p(x)=2x2 −x−2 over [−2,6]?

A: Obtain the derivative of the function as follows.

Q: The absolute minimum of f() = x² +3x – 1is

A:

Q: Find the minimum and maximum of the function in the specified interval. 1. f(x) = x² - 6x + 9 on…

A:

Q: Find and classify the extreme values of f(x)=6x^4 - 4x^6 over the interval [-2,2]

A:

Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

A:

Q: Find the global extrema of the function f(x)=x3−6x2−15x+100 on the interval [−3,6].

A:

Q: What is the absolute minimum value of p(x)=2x2-x-2 over [−2,6]?

A:

Q: Find the global minimum of the function f (x) = 2x’ + 3x² – 12x + 4 on the interval [-4,2].

A:

Q: Find the absolute maximum and absolute minimum values, if any, of f (x) = x³ + 3x² + 1 on the…

A: Absolute maximum point is a point where the function obtains its greatest possible value. Absolute…

Q: Identify the absolute minimum of g(x)=−2x2 −x+1 over [−2,4].

A: Absolute minimum:The absolute minimum of a function f on the interval [a, b] will occur either at…

Q: Find the maximum and minimum values of the function y 32t-t on the Interval [4, 61. %3D maximum…

A:

Q: 7. Find the absolute maximum and the absolute minimum off(x) = 2x³ – 3x - 12x + 5 on the interval…

A:

Q: Find the absolute maximum and minimum values on the interval: g(x) = In(x² + 6x + 20), [-5, 1]

A: Let  be a function defined over an interval  and let  We say  has an absolute maximum on  at  if…

Q: Use the Intermediate Value Theorem to show that f(x) = x2 + x − 2 has at least two zeros in the…

A:

Q: Find the absolute minimum and absolute maximum of f(x)= – 2x³ – 6x² + 18x – 1 on the interval [ –…

A: We first find the critical values by solving…

Q: The function Ax) = -2x(x - 1)(x - 2)(x+ 2) %3D has 4 zeros. has a maximum O as x→-∞, y–-∞ all of the…

A:

Q: Find the absolute maximum of p(x)=x2 −x+2 over [0,3].

A: We have to find absolute maximum of f(x) in given interval .F(x) is given as:

Q: Find Absolute Extremums of F(x)=2x^3-6x over [0,3]

A: To find the absolute extremums of the function F(x)=2x3-6x over [0,3]

Q: Find the absolute minimum of the function f(x) = x²³ - 3x² on the interval - 1 ≤ x ≤ 3. -4 3

A:

Q: Find the absolute maximum and absolute minimum of f(x) =2x3-3x2-36x+2 on the interval [0,5]

A:

Q: Find the absolute maximum of f(x) = x3 −6x2 + 12x + 3 on [0,3]

A:

Q: Find the absolute minimum and maximum of f(x) = 2x3 - 3x2 - 36x + 2 on [0,5]

A:

Q: Find the absolute extrema of the function ƒ(x) = 3x2/3 - 3x5/3 on the interval [0, 8].

A: Given ƒx = 3x2/3 − 3x5/3 on the interval 0, 8.

Q: Find the minimum and maximum of 1 on the interval [0, 3].

A:

Q: Find the global minimum of the function f(x)=2x^3+3x^2–12x+4 on the interval [-4,2].

A:

Q: Find the absolute max/min values of f(x) = 3x2 – 12r +5 on the closed interval [0, 3].

A: This question is based on maxima and minima in a closed interval.

Q: . Find the absolute maximum and minimum values of f(x) = 2x3 − 21x2-21X 2+ 60x + 1 on the closed…

A: We have f(x) = 2x3 - 21x2 + 60x + 1 We find its derivative w.r.t. "x", f'(x) = 6x2 - 42x +60 To find…

Q: Consider f(x)=x³-6x²+9x+3 defined on the closed interval At which value of x does the absolute…

A:

Q: Find the global and global minimum of the function f(x)=x4−8x2+3 within the interval [−1,2].

A:

Q: 3. Use the Intermediate Value Theorem to prove that the equation x-5x = 4 is solvable on the…

A:

Q: What is the absolute minimum value of q(x) = 2x -1 over -2, 5?

A: We have to find the absolute minimum value of q(x) = 2x2 - 1 over [-2, 5].

Q: the absolute minimum of f(x) = −x3 − 14x2 − 60x − 75 on interval [−7, −5]?

A: To find: The absolute minimum of fx=-x3-14x2-60x-75 in interval -7,-5. Calculation: The derivative…

Q: Find and classify the extreme values of f(x)= 6x* –4x° over the interval [-2,2].

A: Given,  f(x)=6x4-4x6

Q: Find the absolute maximum and minimum values of f(x) = 2x³ – 36x2 + 120x -8 on the interval [0, 12]…

A: