Recent questions in Analyzing functions

Calculus 1Answered question

Monverdeitum 2023-03-31

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function

$f(x,y)={x}^{3}-6xy+8{y}^{3}$

Calculus 1Answered question

Dexter Austin 2022-12-15

What is the opposite of derivatives in calculus?

Calculus 1Answered question

Cory Russell 2022-10-25

The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 22200.

(a) Find a function that models the population t years after 2000 (t = 0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t)=?

(b) Use the function from part (a) to estimate the fox population in the year 2008.

(a) Find a function that models the population t years after 2000 (t = 0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t)=?

(b) Use the function from part (a) to estimate the fox population in the year 2008.

Calculus 1Open question

Felix Fitzgerald 2022-08-22

Simplify as much as possible.

${u}^{2}\sqrt{24u{w}^{2}}-6w\sqrt{6{u}^{5}}$

Assume that all variables represent positive real numbers.

${u}^{2}\sqrt{24u{w}^{2}}-6w\sqrt{6{u}^{5}}$

Assume that all variables represent positive real numbers.

Calculus 1Open question

Keabetswe Pilane2022-06-10

The sketch below represents the function f(x)=x^2+bx^2+cx+d and g(x)=ax+q. The points A, B(2;-16) and C are points where the two graphs intersect.

C(6,0) is an x-intercept of f, while L and M are the turning points of f.

1. Show that b=-5, c=-8 and d=12 if it is given that f(x)=3x^2-10-8

2. Determine the coordinates of the turning points, L and M, of f.

3. Determine the equation of g.

4. If it is further given that the coordinate point A are (x;36), determine the length of AM.

5. For which value(s) of x ...

is the graph f increasing?

is the graph f concave down?

Calculus 1Answered question

Bronson Olson 2022-04-24

On what intervals the following equation is concave up, concave down and where it's inflection point is $(x,y)f\left(x\right)={x}^{8}\left(\mathrm{ln}\left(x\right)\right)$ ?

Calculus 1Answered question

et3atissb 2022-04-24

If $y=x{e}^{-x}$ , what are the points of inflection of the graph f (x)?

Calculus 1Answered question

broggesy9 2022-04-24

If $y=\frac{1}{1+{x}^{2}}$ , what are the points of inflection of the graph f (x)?

Calculus 1Answered question

windpipe33u 2022-04-23

Is

$f\left(x\right)=-2{x}^{5}-2{x}^{3}-12{x}^{2}-6x+1$ concave or convex at $x=-1$ ?

Calculus 1Answered question

znacimavjo 2022-04-23

If $y=3{x}^{5}-5{x}^{3}$ , what are the points of inflection of the graph f (x)?

Calculus 1Answered question

veleumnihryz 2022-04-23

How do you find the intervals on which the graph of $f\left(x\right)=5\sqrt{x}-1$ is concave up or is concave down, and find the x - coordinates o the points of inflection?

Calculus 1Answered question

Benjamin Hampton 2022-04-22

On what interval is $f\left(x\right)=6{x}^{3}+54x-9$ concave up and down?

Calculus 1Answered question

Ricardo Berger 2022-04-22

If $y={e}^{-{x}^{2}}$ , what are the points of inflection, concavity and critical points?

Calculus 1Answered question

Rylan Sullivan 2022-04-22

If $f\left(x\right)=\frac{{x}^{3}}{{x}^{2}-25}$ , what are the points of inflection, concavity and critical points?

Calculus 1Answered question

Travis Caldwell 2022-04-22

If $f\left(x\right)=\left(\frac{5}{2}\right){x}^{\frac{2}{3}}-{x}^{\frac{5}{3}}$ , what are the points of inflection, concavity and critical points?

Calculus 1Answered question

Slade Higgins 2022-04-22

How do you write $x={e}^{t}-1\text{}\text{and}\text{}y={e}^{2}t$ as a cartesian equation and then sketch the curve?

Calculus 1Answered question

Sullivan Pearson 2022-04-22

How do you find the interval where f is concave up and where f is concave down for $f\left(x\right)=-\left(2{x}^{3}\right)-\left(3{x}^{2}\right)-7x+2$ ?

As you are analyzing function completely ap problems, you will need clear examples that will contain detailed answers to your questions. Since there will be more than equations alone, the most important is to provide analysis. The same relates to analyzing function packet answers that can be either answered based on instructions (as in many replies below) as well as generated by various software. Reading through both examples will help you to see how calculus implements functions and what aspects of analysis must be provided to receive complete answers.