11/18/21
Find the dimensions of the box that minimize cost.
You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs $5/ft2 and the material for the sides costs $2/ft2. You need a box with volume 4 ft2....
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11/17/21
Let f(x)=24+5x−x2. Find the open intervals on which f f is increasing (decreasing). Then determine the x x -coordinates of all relative maxima (minima).
ff is increasing on the intervals ?ff is decreasing on the intervals ?
The relative maxima of ff occur at x =
11/17/21
A function f(x) and interval [a,b] are given. Check if the Mean Value Theorem can be applied to f on [a,b].
A function f(x) and interval [a,b] are given. Check if the Mean Value Theorem can be applied to f on [a,b]. If so, find all values c in [a,b] guaranteed by the Mean Value Theoremf(x) = √ (9 - x2) ...
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The graph of f is shown. Evaluate each integral by interpreting it in terms of areas.
Link to graph: https://ibb.co/5s4Qm45Find:
(a) 8
f(x) dx
0
(b) 20
f(x) dx
0
(c) 28
f(x) dx
20
(d) 36
f(x) dx
0
10/26/21
equation with 1 hole 1 zero horizontal asymptore and 2 vertical asymptotes
equation with 1 hole 1 zero horizontal asymptore and 2 vertical asymptotes
09/23/21
Brief Calculus.
The Value of one share of a company’s stock is given by 𝑺(𝒙)=𝟏𝟓+𝟐.𝟔/𝒙+𝟏 dollars x weeks after it is first offered.a) Find the formula for the derivative of S(x) b) Find and Interpret S(10)c) ...
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09/23/21
tangent line equations
The line y = b + mx is tangent to the graph of f at x = 7. Given that f( 7) = 5, the derivative f'( 7) = 4, and f"( 7) = 4, find m and b.
09/23/21
sketch a graph of a function f(x) with the following properties
the domain of f is [0,5]
limx-->1- F(x) and limx--+ F(x) exist and are equal
F(X) has a removeable discontinuity at x=1
F(x) has a jump discontinuity at x=2
The following limits hold...
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09/15/21
Find the following given the graphs of the functions
a. lim x => 0^- f(x) b. lim x => 0^+ f(x) c. lim x => 0 f(x) d. lim x=>2^- f(x) e. lim x=> 2^+ f(x) f. lim x=>2 f(x) g. lim x=4^- f(x) h. lim x=4^+ f(x) I. lim x=>4 f(x)
09/11/21
Express the function in the form f ∘ g. (Use non-identity functions for f and g.)
u(t) = cos(t)
1 + cos(t)
{f(t), g(t)} =
09/11/21
Calc 1 Question
I have this question that I don't really understand since derivatives are a little confusing. (1): Find the derivative of g(t) = 5t^2 + 5t at t = 6 algebraically. g'(6) =
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