11/28/21

determine which points satisfy the inequality

y≥-2x+9a) (7,4) b) (-1,3) c) (10,-5)

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.... more

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 =

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) ... more

11/11/21

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) ... more

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.

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... more

Polynomials Inequalities

Show number line and and answer in interval notation6) x2 - 1 < 0

F = Gm 2/r 2 G = ?

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)} =    

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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