CALCULUS

posted by .

Consider the function f(x)=sqrt(2–5x^2), –5≤x≤1. The absolute minimum value is ____ and this occurs at x equals ______?

Found the max value to be 2 at x=0.

  • CALCULUS -

    f'(x) = (1/2)(2 - 5x^2)^(-1/2) )(-10x)
    = -5x(2-5x^2)^(-1/2)
    = 0 for a max/min

    This has only one solution, when x = 0

    so the min occurs when x = 0 and
    f(0) = √(2-0) = √2

  • CALCULUS -

    4x2+24x+16y2-32y-12=0 need to know how to write in the standard form for ellipse it is a precalculus

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Suppose that y≤5⁢x,3⁢x≤y and 14⁢x+15⁢y≤1 together with 0≤x, 0≤y. The maximum value of the function y+x on the resulting region occurs at x=?
  2. New Age Math

    Suppose that y≤5x,3x≤y and 14x+15y≤1 together with 0≤x, 0≤y. The maximum value of the function y+x on the resulting region occurs at x=?
  3. Calculus

    1.Determine the maximum value of the function f(x)= 5^x -x^5 on the interval 0≤x≤≤2. 2. Determine the minimum value of the function f(x)= e^(-x) - 2e^x on the interval -1≤x≤2.
  4. Calculus

    2. Determine the minimum value of the function f(x)= e^(-x) - 2e^x on the interval -1≤x≤2. Answer is minimum value 7.12?
  5. Calculus

    If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ b f(x) dx a≤ M(b − a). Use this property to estimate …
  6. Calculus

    If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ b f(x) dx a≤ M(b − a). Use this property to estimate …
  7. calculus

    Consider the function f(x)=(x^3)(e^9x), -2 is less than or equal to x is less than or equal to 4 *The absolute maximum value is _____ and this occurs at x equals 4. *The absolute minimum value is _____ and this occurs at x equals ______ …
  8. CALCULUS

    Consider the function f(x)=5–4x^2 , -3≤x≤1 The absolute maximum value is __________ and this occurs at x equals ___________ The absolute minimum value is _________ and this occurs at x equals ___________
  9. Calculus

    Consider the function f(x)=xsqrt(36−x^2), −1≤x≤6. This function has an absolute minimum value equal to what?
  10. Calculus

    Let f be a differentiable function defined on the closed interval [a,b] and let c be a point in the open interval (a,b) such that I.f'(c)=0 II.f'(x)>0 when a≤x<c III.f'(x)<0 when c<x<≤b Which of the following …

More Similar Questions