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Post a New Question | Current Questions | Live Experts
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| 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... |
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| 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 |
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| calculus |
| simplify the following: 2ln(x-3)+ln(x+2)-6ln(x) |
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| 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... |
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| 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) |
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| 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... |
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| 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. |
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| 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 |
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| calculus |
| Which of the following is the same as 4 ln2x? a) ln8x B)8lnx c)ln8 + lnx d)ln 16^4 |
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| 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... |
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| calculus |
| differentiate y = ln(e^x + e^-x) |
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| 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? |
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| 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? |
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| 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. |
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| calculus |
| Differentiate y = xe^x Thank you! |
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| 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 ... |
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| 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)=_____ |
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| Calculus |
| f"(x)=5x+3 and f'(-2)=-3 and f(2)=-5 Find f'(x) and find f(2). |
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| 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'. |
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| 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... |
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| 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? |
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| 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... |
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| 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? |
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| 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 |
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| 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? |
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| 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=? |
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| Calculus |
| Find the point on the line -5sx+y+3=0 which is the closest to the point (2, 5) (___,___) |
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| calculus |
| Find the area of bounded by f(x)=2x^2 and g(x)=x^4-2x^2 |
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| calculus |
| Find the area of bounded by f(x)=2x^2 and g(x)=x^4-2x^2 |
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| 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... |
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| Calculus |
| limit of (10^n)/(n!) as n->infinity The answer is zero. Can you prove it? |
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| 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 :) |
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| calculus |
| find the max point on the graph f(x) = -1/3x^3 + 3x^2 - 5x |
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| calculus |
| find the point(s) on the graph of y = (2x4 + 1)(x - 5) where the tangent line slope is 1. |
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| 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? |
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| Calculus |
| If f(x)=6arcsin(x^3) find f'(x) |
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| Calculus |
| If f(x)=4-coshx/3+coshx, f'(x)=? |
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| Calculus |
| Use logarithmic differentiation to determine the derivative of the function defined by f(x)=x^5(x-3)^9/(x^2+2)^4 |
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| 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) ... |
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| 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... |
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| 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=? |
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| 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... |
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| calculus |
| Find the derivative of f(x)=[lnx]^4 |
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| Calculus |
| If the equation of the tangent line to the curve: xy^3+xy=6, (3,1) find m and b |
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| Calculus |
| Use implicit differentiation to find the slope of the tangent line to the curve sqrt of x + sqrt of y = 8 |
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| 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. |
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| 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... |
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| 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... |
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| Calculus |
| f(x)=sin^(7)x The 7 is an exponent and the x is not. Find the derivative. |
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| Calculus |
| If f(t)=(t^2+6t+2)(3t^2+3) then f'(t)=_____? and f'(3)=______? |
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| Calculus |
| If f(x)=6x+9/3x+1 then f'(x)_____? and f'(3)=_____? |
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| 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. |
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| Calculus |
| Evaluate the limit. lim x-->infinity 5x+6/6x^2-3x+7 |
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| 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 |
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| Calculus |
| What is the lim(x-3/x^3-27) x->3 |
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| 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]. |
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