Calculus Answers

IF X AND Y =K,(K>0)
THEN SHOW THAT XY IS MAXIMUM WHEN X=Y, WHERE X AND Y ARE POSITIVE

Let f(x)=2-(2/x)+(6/x^2). Find the open intervals on which f is increasing (decreasing). Then determine the x -coordinates of all relative maxima (minima)
1. f is increasing on which intervals?
2. f is decreasing on which intervals?
3.the relative maxima of f occurs at x =?
4. the relative minima of f occurs at x=?
Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none".

Let f(x)=4x^3+5. Find the open intervals on which f is increasing (decreasing). Then determine the -x coordinates of all relative maxima (minima).
1. f is increasing on the intervals?
2. f is decreasing on the intervals?
3. the relative maxima of f occurs at?
4. the relative minima of f occurs at?

Differentiate this expression with respect to Z ?

J=X{L+(LW/Z)^p/p-1}^-1/p

Find the area under the curve for the function f(x)= 4x^3 + 3x^2 -x + 1 on the interval [1,2].

find the area of a triangle using the vertices(1,2),(-1,6),(3,4) use integration concept

Find the zeros of the polynomial function and state the multiplicity of each.

f(x) = 3(x + 9)2(x - 9)3

State how many imaginary and real zeros the function has.

f(x) = x4 - 15x2 - 16

4 imaginary; 0 real

3 imaginary; 1 real

2 imaginary; 2 real

0 imaginary; 4 real


Help me please and show work