FIND THE LOCAL MINIMUMS OF f(x) = xt_x3_5x²+3 (ROUND TO HUNDREDTHS.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Reflect  f(x)=2x^2+3x-1 over the X axis and write the new equation for g

A: Reflect  f(x)=2x2+3x-1 over the X axis and write the new equation for g

Q: Determine the intervals where the graph is increasing, decreasing, has a relative maxiumum , and/or…

A: A function is increasing in the interval: a, b, if f(a)<f(b) for a<b. A function is decreasing…

Q: f(x) = x^4 + 4x^3 - 7x^2 - 34x - 24    a. Intercepts b. Intervals of Increase / Decrease (table):…

A: We have been given that f(x)=x4+4x3-7x2-34x-24Our aim is to find:-(a) Intercepts(b) Intervals of…

Q: Assume that it costs a manufacturer approximately C(x) = 800,000 + 340x + 0.0005x2 dollars to…

A: In this question, optimization technique is used. Optimization Technique using maxima and minima The…

Q: Given the function f(x)

A: Given,          f(x)=3x2-5x+3

Q: differentiate the function f(x) = x^2(2x+3)^5

A: The given function is f(x) = x^2(2x+3)^5

Q: Find the value of g(x)=√x^2 - 2 if g(x)= -3.

A: find       g(x)= -3.

Q: Describe the end behavior of f(x) = 2/7x^5+6x^3-8.

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Q: Given the function f(x)=1x^2+52x+673 find all of the following: Find the extreme value of the…

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Q: Given f(x) = 3x^2+4 and g(x)=-3x, calculate f(g(x)). Show all work

A: Given Function, f(x)=3x2+4g(x)=-3x We have to find, f{g(x)}=?

Q: Evaluate f(2), given f(x)=3x^3 - 4x + 1

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Q: Given f(x)=3x+8, evaluate f(x^2)

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Q: let g(x)=5x^3. Find g(3+H)

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Q: Find the range of values of x for which f(x)=x^3-5x^2-8x+2 is decreasing.

A: The objective of this question is to find the range of values of x for which the function f(x) = x^3…