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Calculus
Questions (22)
If 2,700 cm2 of material is available to make box with square base and an open top, find the dimensions that give the largest
1 answer
455 views
Convert (x-1)^2 +y^2=1 to a polar equation
1 answer
615 views
A wire 16 meter long has to be molded in a rectangular shape. What dimensions about the rectangle has to be used to manimize the
1 answer
370 views
Find all points on the graph of the function f(x) = 2 cos(x) + (cos(x))2 at which the tangent line is horizontal. Consider the
1 answer
1,514 views
Find the maximum value of the function f(x,y) = 9x2−9xy+y3 on the closed rectangle whose corners are the points (1,1),
1 answer
749 views
a wire length 12 meters is cut into two parts; one part is bent to form a square, and the other is bent to form an equilateral
1 answer
612 views
Given the function f(x)= sqrtx
a) Let M= f´´(50) and N=f''(49). Argue on that f´´(x) lies between M og N if x =]49,50[ (Tip:
1 answer
527 views
A bus service carries 10 000 people daily between Ajax and Unoin Station, and the company has space to serve up to 15 000 people
1 answer
5,164 views
Find the value of a so that the function f(x) = xe^(ax) has critical point at x = 9
I found that the derivative is
1 answer
2,934 views
Let f(x)=3x^3 +7.5x +1. In this problem you will estimate f'(3) by computing the average rate of change of f(x)over a small
0 answers
864 views
Integrate ∫ xsinxcosx dx
2 answers
1,492 views
The curve
y = x/(1 + x^2) is called a serpentine. Find an equation of the tangent line to this curve at the point (2, 0.40).
0 answers
734 views
Find the area of the region shared by the circle r=2 and the cardioid r=2(1-cosx)
(that x is supposed to be theta, and as you can
1 answer
699 views
An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the
2 answers
1,468 views
f(x) = 6(cos(x))^2 - 12sin(x)
0 ¡Ü x ¡Ü 2(PI) I have to find where the interval is increasing, decreasing, local mins and
1 answer
700 views
Find the critical numbers of the function g(t)=|5t-7|
If you find g'(t) you just get 5 so would there be no critical numbers? Or
1 answer
1,328 views
A runner sprints around a circular track of radius 150 m at a constant speed of 7 m/s. The runner's friend is standing at a
3 answers
1,475 views
A runner sprints around a circular track of radius 150 m at a constant speed of 7 m/s. The runner's friend is standing at a
1 answer
1,114 views
can someone please explain
h t t p : / / w w w . j i s k h a . c o m / d i s p l a y . c g i ? i d = 1 2 5 7 0 4 1 1 4 5
1 answer
350 views
can someone please explain
h t t p : / / w w w . j i s k h a . c o m / d i s p l a y . c g i ? i d = 1 2 5 7 0 4 1 1 4 5
5 answers
384 views
I'm asked to find the domain of fuction
(x+5)/(x-3) saying that x is all reals except for x can not equal three is wrong correct?
13 answers
1,131 views
ok I don't understand how this was done
inergral(y2 and y1) pgywdy = 1/2 pgw(y2^2 - Y1^2) ok it's been a while sense calc I
1 answer
537 views
Answers (6)
find f'(x) set f'(x)=0 to find the critical values. when looking for the min and max include the intervals with the critical numbers f'(x)= [2x(x^2+4)-(2x(x^2-4)]/[(x^2+4)^2] simplify.... and set equal to zero
Find the derivative of f(x) which gives you f'(x). Set f'(x)=0 this will give you the critical values. and you use those to find the max and min. F'(x)= 101x^100 + 51x^50 + 1 0= 101x^100 + 51x^50 +1 the easiest way to find the critical numbers would be to
yup that's correct =]
yup divide both sides by -17
that should be less than or equal to for both. 0 (
no its 8