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Calculus Questions
Determine the volume generated by the area bounded by y=12-x, y=x^(2), and x=0 revolved about y+2=0
Suppose Jack on top of a 40-foot building, and a rope is hanging from the roof...
Evaluate the line integral R C (x 2 + y 2 ) ds where C is...
Problem: Sketch the traces of the quadric surface z = 4x^2 + 6y^2. Include the traces...
Metal Fabrication By cutting away identical squares from each corner of a rectangular piece of cardboard...
A Business company calculates the following for an item that they produce and sell. The revenue,...
Find an equation of the tangent plane to the given surface at the specified point. z...
Find the derivatives of the following functions (simplify when appropriate). Please neatly show your work. a....
Find dy dx/dy implicit differentiation. (x + y^2)10 = 9x^2 + 2
Find the urge of the function f over the given region. F(x,y) = 3x+7y over the...
Find the slope of the curve r = 1 − sin θ, at θ = π/4...
find the maclaurin series of f(x)=5sin(3x)
Angie sells gourmet dog food online. When the price is $40 a bag, she sells 100...
Eliminate the parameter to find the cartesian equation. Then sketch the curve using t= 0, 90,180...
Solve the initial value problem to find f(x):ⅆ?/ⅆ?= 1 + 3?2 and ?(−1) = 2
1) a) Let z=x4 +x2y, x=s+2t−u, y=stu2: Find: ( I ) ∂z ∂s ( ii )...
take the lapace transform of dT/dt +kT=k(22-27U(t-2)+25U(t-7)). define L[T(t)]=W(s). show all steps
Consider the series: ∞∑n=21n[ln (n)]4 a) Use the integral test to show that the above series...
The short term demand for a product can be approximated by q = D(p) = 18...
Evaluate the line integral ∫_c x^2 +y^2 ds where C is the line segment from (1,1)...
Find ∫ ∫R x 2 d A where R = { ( x , y )...
3. The function f(x) = x2(x2 − 2x − 36) is defined on all real numbers....
The traffic flow rate (cars per hour) across an intersection is r ( t ) =...
2. Find the area of one petal of the rose r = 3 sin(2θ)
Let f(x) = e^x. Evaluate a right Riemann sum for the interval [−1, 1] for n...
The volume of a spherical balloon is increasing at a rate of 2 in^3/s. At what...
don't answer
Find∫∫R(2x+4y)dA where RR is the parallelogram with vertices (0,0), (-4,2), (5,4), and (1,6). Use the transformation...
dx/dt=y, dy/dt=2x-2y
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate...
1. Consider the function. f(x) = 6x − 9 (a) Find the inverse function of f....
A bucket is attached the bottom of a line of rope that hangs off the top...
A study suggests that the extinction rate r(t) of marine animal families during the Phanerozoic Eon can...
calculate the slope if Line tangent to the curve y= 3x2-9x+5 at point x=3
A box must be with a sum of length, width, and height not exceeding 180 in....
Sketch a graph of a function that satisfies the following conditions. Then take a picture and...
1.You evaluate an indefinite integral and obtain the following expression for an answer 1/5 sin(1+5x) +...
Suppose $5,000 is invested at 3% annual interest, compounded monthly a.) write a function that describes...
suppose that y is the solution of the differential equation y' = x - y with...
u = <-3,3,5> and v = <2,5,1> find: v*u = || u*v || find the angle...
Use Euler's method with step size 0.2 to estimate y(0.6) where y(x) is the solution to...
Using Lagrange multipliers, find the coordinates of the minimum point on the graph of z=x2+y2 subject...
find the minimum cost of producing 50,000 units of a product, where X is the number...
Use the given transformation to evaluate the integral. 6xy dA R , where R is the...
Find the derivative. a. (e3x)/x b. SqrRt(10x+9) c. x ln(x)
An object is thrown vertically upward from a platform 80 feet above the ground with a...
Two cars leave the same point at the same time. One travels east at 50 mph,...
1. Find f. f ''(x) = 4 + 6x + 36x^2, f(0) = 2, f (1)...
Reduce the equation to one of the standard forms, classify the surface, and sketch it. 9x^2+4y^2+z^2=1
Find the equation of the tangent to the curve y= x sqr(2x^2+7) at x=3
Prove that for positive integers, Integral from nothing to nothing tangent Superscript n Baseline x dx...
Find an equation for the tangent of the curve x=2t-lnt, y=t+lnt at the point corresponding to...
Given the vector function r(t) ( cos3t,sin3t,t) and t=pi/9 , find the following. (a) the curvature...
Derive the Cartesian coordinates of an inverted Cycloid
Find the absolute maximum and minimum vaues of f on the set D. f(x,y)=x^2 + y^2...
find the directional derivative of f(x,y) = x^2y^3 +2x^4y at the point (3,-1) in the direction...
A 5400 SUV is parked on a slope of 18 degrees. Use a projection to determine...
if f(x) = 1/(x^2+1) find the following: increasing and decreasing interval concave up and concave down
Let P(t) represent the number of people who have been infected by a disease t days...
x2 + (y-1)2 = 1 about the y-axis, find the volume
How to use laplace transform to solve the following problem ? y'' - 10y' +9y =...
Find an equation for the tangent plane to x^3+xy^2=3z at the point(2,2,16/3)
John sells necklaces on the beach. He sold the necklaces for $10 each and his sales...
A rectangular garden 800 m^2 is to be fenced off against monsters. One side of the...
For f(x)=2+3x+x3 find: A.increasing and decreasing intervals B. Local max and min coordinates C. Concativity Intervals...
Find the volume of the parallelepiped defined by the vectors ⎡⎣⎢−222⎤⎦⎥,⎡⎣⎢1−32⎤⎦⎥,⎡⎣⎢−50−1⎤⎦⎥.
A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The...
Find the directional derivative of the function at the given point in the direction of the...
Use the Divergence Theorem ∬SF⋅dS=∭D∇⋅FdV ∬ S F ⋅ d S = ∭ D ∇ ⋅...
The rate of a continuous money flow starts at $800 and increases exponentially at 3% per...
During the first twenty years of business, this company's profit is given by: P(t) =...
Use the Divergence Theorem to evaluate S (11x + 2y + z2) dS where S...
Find the particular solution to y′′+9y=6sec(3t). Do not include the complementary solution yc=C1y1+C2y2. y=
My pension plan is an annuity with a guaranteed return of 5% per year. (Assume compounding...
A campground owner has 1900 m of fencing. He wants to enclose a rectangular field bordering...
Evaluate the line integral ∫F⋅d r∫CF⋅d r where F=〈sinx,−3cosy,5xz〉 and C is the path given by...
1. A solid is generated by revolving the region bounded by y=(9-x^2)^1/2 and y=0 about the...
Explain how we defined "e" in Calculus I in terms of exponentials and tangent lines and...
Show that the curve y = 7ex + 6x + 5x3 has no tangent line with...
given that f'(x)=-3x^2 -6x answer the following what inteeval is f(x) increasing or decreasinf find x...
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