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calculus
Sphere intersecting with a cone.

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Post a New Question | Current Questions

calculus
In the following problem, suppose f(x) is continuous (and differentiable) function on the interval (0,1). Suppose also that for 0 < x<(1/4) f(x) is negative, for (1/4) <x<1 f(x) is positive, f(1/4)=0, f (2/3)=1, f ' (1/3)= 1, f ' (2/3) =3. a. If the function G(x) i...
Friday, July 3, 2009 at 11:11pm

calculus
evaluate the following integrals by any means possible: b. integral from -1 to 1 (w/ (w^2+1)) (dw) c. integral from -3 to 0 sqrt(9-x^2)dx
Friday, July 3, 2009 at 9:16pm

calculus
simplify the following: 2ln(x-3)+ln(x+2)-6ln(x)
Tuesday, June 30, 2009 at 4:43pm

calculus
The illumination of an object by a light source is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source. If two light sources, one three times as strong as the other, are placed 11 ft apart, how far from t...
Tuesday, June 30, 2009 at 4:28pm

calculus
find an equation in x and y such that the distance between (x,y) and (-2,0) is twice the distance between (x,y) and (3,1)
Tuesday, June 30, 2009 at 8:47am

calculus
is the function f(x)=x^2 increasing on decreasing at x = -1. can anyone please check my reasoning: the value of the derivative of the function at x=-1 is -2, so that means the slope of the tangent line to the graph at that is a negative value so the function is decreasing at x...
Monday, June 29, 2009 at 11:49pm

Calculus/Logarithms
Find the derivative of f(x) = (square root of x)(ln x). Using my notes, I came up with f'(x) = (1/2*square root of x)/x The answer in the back of the book says f'(x) = (2+ln x)/(2*square root of x). Can someone please explain how? Thanks.
Monday, June 29, 2009 at 8:21pm

Calculus
I am having great difficulty with this any help would be appreciated. Write this expression in the form e^kx for a suitable constant k.? (e^4x * e^6x)^3/5, 1/e-2^x
Sunday, June 28, 2009 at 11:19pm

calculus
Which of the following is the same as 4 ln2x? a) ln8x B)8lnx c)ln8 + lnx d)ln 16^4
Sunday, June 28, 2009 at 8:57pm

Calculus (Thanks a bunch!)
Simplify the following expression 5lnx - 1/2 lny + 3 lnz
Friday, June 26, 2009 at 4:05pm

Calculus
Obtain the MacLaurin series for 1/(2-x) by making an appropriate substitution into the MacLaurin series for 1/(1-x). ------------ The MacLaurin series for 1/(1-x) = Σ x^k I substitue (x-1) in for x, because 1/(2-x) = 1/(1-(x-1)) Making the same substitution in the MacLau...
Thursday, June 25, 2009 at 7:55pm

calculus
differentiate y = ln(e^x + e^-x)
Wednesday, June 24, 2009 at 2:39pm

calculus
Differentitate y = e^x^2 -^5^x +^4 so far i have dy/dx = 2x e^(x^2) - 5^(x)* ln 5 + can you help with the rest?
Wednesday, June 24, 2009 at 1:42pm

Calculus
Evaluate the integral. -2 at the bottom of the integral sign and 7 at the top. f(x)dx f(x)={x if x<1 and 1/x if x> or equal to 1 I'm not sure how you would apply these two concepts together?
Wednesday, June 24, 2009 at 2:59am

Calculus
Evaluate the definite integral The S thingy has 1 at the bottom and 9 at the top. 4x^2+5 divided by the sqrt of x.
Tuesday, June 23, 2009 at 10:36pm

calculus
Differentiate y = xe^x Thank you!
Tuesday, June 23, 2009 at 11:49am

calculus
solve 2^3^x = 4.2^5^x
Tuesday, June 23, 2009 at 11:48am

gnozahs
I removed about ten questions you posted this morning. There was no indication of what you had done, what your thinking was, or what you wanted from us. We are not going to do homework for you. If you want hints on these calculus questions, say so, or ask what you want. Just ...
Tuesday, June 23, 2009 at 6:24am

Calculus
Consider the function f(x)=x^4 + 8sqrtx Let F(x) be the antiderivative of f(x) with F(1)=-4. Then F(x)=_____
Tuesday, June 23, 2009 at 3:23am

Calculus
f"(x)=5x+3 and f'(-2)=-3 and f(2)=-5 Find f'(x) and find f(2).
Tuesday, June 23, 2009 at 2:31am

Calculus
Can someone prove (informally) the following theory: If there is a differentiable function, f, that is represented by a Taylor series, T, then the convergence interval for series T is identical to the convergence interval for the term-by-term derivative T'.
Monday, June 22, 2009 at 1:13pm

Calculus
A fence 5 feet tall runs parallel to a tall building at a distance of 7 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building? [Hint: Determine the length of a ladder that touches the buildi...
Monday, June 22, 2009 at 12:59am

Calculus
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 22 feet?
Monday, June 22, 2009 at 12:59am

Calculus
The manager of a large apartment complex knows from experience that 90 units will be occupied if the rent is 370 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 5 dollar increase in rent. Similarly, one addition...
Monday, June 22, 2009 at 12:58am

Calculus
A cylinder is inscribed in a right circular cone of height 8 and radius (at the base) equal to 2. What are the dimensions of such a cylinder which has maximum volume? Radius? Height?
Monday, June 22, 2009 at 12:58am

Calculus
If 6075 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume=??? cubic cm
Monday, June 22, 2009 at 12:58am

Calculus
A rancher wants to fence in an area of 5189400 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
Monday, June 22, 2009 at 12:58am

Calculus
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2-x^2 What are the dimensions of such a rectangle with the greatest possible area? Width=? Height=?
Monday, June 22, 2009 at 12:57am

Calculus
Find the point on the line -5sx+y+3=0 which is the closest to the point (2, 5) (___,___)
Monday, June 22, 2009 at 12:56am

calculus
Find the area of bounded by f(x)=2x^2 and g(x)=x^4-2x^2
Thursday, June 18, 2009 at 7:52am

calculus
Find the area of bounded by f(x)=2x^2 and g(x)=x^4-2x^2
Thursday, June 18, 2009 at 7:16am

Calculus
f(x)=x*sqrt(x^2+2x+10) + 1*sqrt(x^2+2x+10 defined at the interval [-7,5]. A. f(x) is concave down on the region _,_. B. f(x) is concave up on the region _,_. C. The inflection point for this function is at ____? D. The minimum for this function occurs at ___? E. The max for fu...
Thursday, June 18, 2009 at 2:23am

Calculus
limit of (10^n)/(n!) as n->infinity The answer is zero. Can you prove it?
Wednesday, June 17, 2009 at 10:50am

Calculus
Show that f is continuous on (-infinity, infinity). f(x) = x^2 if x<1 and the square root of x if x is greater than or equal to 1. I'm not entirely sure how to start this. Help is greatly appreciated :)
Tuesday, June 16, 2009 at 8:10pm

calculus
find the max point on the graph f(x) = -1/3x^3 + 3x^2 - 5x
Tuesday, June 16, 2009 at 2:00pm

calculus
find the point(s) on the graph of y = (2x4 + 1)(x - 5) where the tangent line slope is 1.
Tuesday, June 16, 2009 at 10:39am

Pre Calculus
Simplify 2(3-i^14)- (5-i^23) 3-i Simplify: (5-3i)^2 16+30i Simplify (3+2i) / (4-5i) (2/41)-(23/41)i is this right?
Monday, June 15, 2009 at 10:03pm

Calculus
f(t)=5^x sechx f'(x)=?
Monday, June 15, 2009 at 12:58am

Calculus
If f(x)=6arcsin(x^3) find f'(x)
Monday, June 15, 2009 at 12:57am

Calculus
If f(x)=4-coshx/3+coshx, f'(x)=?
Monday, June 15, 2009 at 12:28am

Calculus
Use logarithmic differentiation to determine the derivative of the function defined by f(x)=x^5(x-3)^9/(x^2+2)^4
Monday, June 15, 2009 at 12:27am

Calculus II
With Taylor/Maclaurin polynomials Use the Remainder Estimation Theorem to find an interval containing x = 0 over which f(x) can be approximated by p(x) to three decimal-place accuracy throughout the interval. f(x) = sin x p(x) = x - 1/6 * x^3 The book answer is (-.569, +.569) ...
Sunday, June 14, 2009 at 5:53pm

AP Physics
can you please explain this to me... Were given this eqaution x = At^2 + B were A = 2.10 m/s^2 B = 2.80 m ok and this is an example problem and it's wlking us through it find the instantaneous velocity at t=t2=5.00s equlas the slope of the tangent to the curve at point P2 whoe...
Saturday, June 13, 2009 at 1:12pm

Calculus
Let f be the function defined by f(x)=2x+11-3e^x If the equation of the tangent line to the graph of f at the point (0,8) is given by y=mx+b then: m=? and b=?
Friday, June 12, 2009 at 2:03am

calculus
hi we have been given a graph and we need to fing its equation. the graph is logistic. we are asked to take any six points on it and then apply appropriate log to get a straight line. i dont know how to get that straight line? i just know for exponential logy vs x gives a stra...
Thursday, June 11, 2009 at 8:19am

calculus
Find the derivative of f(x)=[lnx]^4
Thursday, June 11, 2009 at 4:03am

Calculus
If the equation of the tangent line to the curve: xy^3+xy=6, (3,1) find m and b
Thursday, June 11, 2009 at 12:22am

Calculus
Use implicit differentiation to find the slope of the tangent line to the curve sqrt of x + sqrt of y = 8
Wednesday, June 10, 2009 at 11:54pm

Calculus
find the derivative of f(x)=tanx-4/secx I used the quotient rule and got (sec^2x-4)(secx)-(tanx-4)(cosx)/sec^2x but I'm pretty sure that's wrong. Help. Thanks.
Wednesday, June 10, 2009 at 11:42pm

Calculus (repost)
This problem uses a TI-89 calculator) Find the largest and smallest values of the following function on their given intervals: y=(cos x)^x [-1.5, 4.75] This is what I put in the calculator (home screen): fMin((cos(x))^x,x I -1.5 < x < 4.75 (I = "with" symbol, < is les...
Monday, June 8, 2009 at 4:50pm

Calculus
(This problem uses a TI-89 calculator) Find the largest and smallest values of the following function on their given intervals: y=(cos x)^x [-1.5, 4.75] This is what I put in the calculator (home screen): fMin((cos(x))^x,x I -1.5 < x < 4.75 (I = "with" symbol, < is le...
Monday, June 8, 2009 at 3:38pm

Calculus
f(x)=sin^(7)x The 7 is an exponent and the x is not. Find the derivative.
Monday, June 8, 2009 at 11:46am

Calculus
If f(t)=(t^2+6t+2)(3t^2+3) then f'(t)=_____? and f'(3)=______?
Friday, June 5, 2009 at 1:51am

Calculus
If f(x)=6x+9/3x+1 then f'(x)_____? and f'(3)=_____?
Friday, June 5, 2009 at 1:50am

Calculus
If f(x)=4sinx/1+cosx then f'(x)=_____? I think that the derivative of 4sinx would be 4cos and cosx would be sinx but I don't know where to go from there.
Friday, June 5, 2009 at 1:49am

Calculus
Evaluate the limit. lim x-->infinity 5x+6/6x^2-3x+7
Wednesday, June 3, 2009 at 12:16am

calculus
Determine the infinite limit of the following function. Lim as x-->zero 1/x^2(x+7) and lim as x-->3 from the left side 2/x-3
Monday, June 1, 2009 at 9:36pm

Calculus
What is the lim(x-3/x^3-27) x->3
Thursday, May 28, 2009 at 9:19pm

calculus 2
f(x) = { 2 if x ! [0, 1) −1 if x = 1 3 if x ! (1, 2] −5 if x ! (2, 3) 20 if x = 3 } Prove that the function is Riemann integrable over [0, 4] and calculate its Riemann integral over [0, 4].
Wednesday, May 27, 2009 at 9:05pm

Calculus
Solve for t 100 x (1/2)^t/3.8
Wednesday, May 20, 2009 at 10:53pm

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