Use the intermediate Value Theorem  Let f(x) = 3x^3 - x^3 + 1. Show that there is a number c, 0

Q: Consider the function f(x) =x^4 -50x^2 + 7, -4 < x <11. Find the absolute minimum and maximun of…

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Q: 6) Differentiate: a) f(x)= 5x-3 +1)

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Q: =) F(x)=x+2|-|x-41 b) f(x)=√x³-1.5+2 a) c) f(x) = (x- 3)-³3/2_ (x-3)3/2

A: The function is not differentiable at sharp points. In the case of a sharp point, the limit from the…

Q: Show that /I +x 0.

A: Mean value theorem: Let f be a function satisfying the following properties: 1. f is continuous on…

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: On which interval(s) is the function h(t) = (−t^3) + 3(t^2) + 24t − 11 decreasing?

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Q: Find the absolute maximum and minimum values of f(x)=(x^4) -2(x^2) +1 over the interval [-2,4]

A: The given function .The objective is to find the absolute maximum and minimum value of the function…

Q: Q.1) Show that the function u = 3x²y+2x² – y³ – 2y² is harmonic. Find the corresponding analytic…

A: It is given that ;         u = 3x2y+2x2-y3-2y2 And we have to show that u is harmonic  and to find…

Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

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Q: check uniquness and existance for fixed point while f(x)=(2x+1)^-3 in [1,2]

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Q: why does F(r(t))=-r/(1+(a-1)t)^3/2 instead of r^3? does |r| just equals to 1+(a-1)t?

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Q: Let f(x) = 5x and g(x) = ex + 7. Determine the x-coordinate where the graphs of the two functions…

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Q: Let f(x) = f(-1) = = f(-5) = f(-6) = 8x - 2, -x², X ≤ -5 X > -5' Find f(-1), f(-5), and f(-6).

A: Solve the given function

Q: (q) f(x) = sin(sin(sin(x)))

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Let f(x) = 2x³ + 1. a) Find f(x+h): 2(x+h)³ +1 b) Find f(x + h) − ƒ(x): h(6h² +6xh+: 2h²) c)…

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Q: The equation f (x) = x³ – 9x has a root in the interval [3,5] - O yes no

A: The given equation is fx=x3-9x. Evaluate the roots of the given function as follows.…