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Calculus Questions
(1 point) Find all the first and second order partial derivatives of f(x,y)=7sin(2x+y)−2cos(x−y) A. ∂f∂x=fx=∂f∂x=fx= B....
Let u = <-2, 2> and v = <3,3>. Compute: a) projv u b) Write u...
Using the Method of Cylindrical Shells, find a definite integral that gives the volume V of...
A particle is moving with the given data. Find the position of the particle. a(t) =...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find two positive numbers whose product is 253 and whose sum is a minimum.
Graph the polar equations: r = 1 + cos θ and r = 1 + sin...
2) Find the future value FV (at the end of the given interval) using the given...
A fish is reeled in at a rate of 3.6 feet per second from a point...
Determine whether the following sequences converge or diverge. If a sequence converges, find its limit. If...
Find the derivative of the parametric curve x=2t-3t2, y=cos(3t) for 0 ≤ ? ≤ 2?. Find...
URGENT PLEASEEE ASAP!!! A pool is circular with a diameter of 5 meters. Depth is constant...
the global maximum of the function h(x)=1/x^2 + 1 defined on (-infinity, infinity) is: a) 1...
Utilizando el Teorema de Pappus (pg. 583) halla el centroide de la región bajo la curva...
Estimate the area under graph f(x) = sin(x) from x = 0 to x = pi/2....
1. Use Euler's method Find Y1,Y2, Y3 y'=Y-2X y(1)=0 h=.5 2. Solve dy/dx= (xsinx)/y y(0)=-1
Differentiate f(x) = (sinx)4x^3 using logarithmic differentiation.
Given the function g(x)=x-3x-52 g'(x)=-4(x-3)(x-5)3 g''(x)=8(x-2)(x-5)4 Find the intervals where g(x)...
Find the sum of the following series:∞∑n=2 5^n/13^(n+3) Determine whether the following series are con-vergent or...
3. Set up two double integrals giving the area enclosed by the curves y = x^2...
- A company produces two types of solar panels per year: x thousand of type A...
A magazine currently has 8400 subscribers for its online web version. It is adding members at...
Find the velocity and position vectors of a particle that has the given acceleration and the...
Let S be the surface z = m + x^2 + y^2 above the rectangle [0,...
A ladder 20 ft long rests against a vertical wall. If the bottom of the ladder...
find the solution to the initial value problem (1+x16 )y' + 16x15 y =7x12 , subject...
10) The total cost, in dollars, to produce x DVD players is C(x) = 100 +...
The balance in LanaLana's savings account is currently $35,000. Initially, LanaLana opened the account by depositing...
Let y' '(x)= -32 If y' (2.3) = -50.6 and y(2.3) = 518.26, determine the following:...
1. This problem involves finding a rational approximation (i.e., a fraction) of sqrt(8.9/3.8)using linear approximations of...
240 square cm of metal is available to make a cylindrical can, closed on the top...
7.1 To solve ∫ ?? / (√7−?^(2)) by trig substitution, we should set x =...
1) a. For what values of t does x=4t3-12t2+5 & y=t3-9t2+24t+1 have horizontal and vertical tangent...
Find the local maximum(s) and local minimum(s) of f(x) = cos (1/x) on the interval 1/3π...
Find the point on the line y = 2x + 3 that is closest to the...
Use Newton's Law of Cooling to solve the problem. A dish of lasagna baked at 350°F...
Find the volume V of the described solid S. The base of S is an elliptical...
The position of a particle at time t ∈ R is given by r(t) = (t...
Find the derivative of -2x/(x^2-4)^2. Please show detailed steps :)
The volume of the solid obtained by rotating the region enclosed by ?=?4?+1,?=0,?=0,?=1y=e4x+1,y=0,x=0,x=1 about the x-axis...
The profit function for a company producing x thousand items of a certain good (in hundreds...
Determine whether or not F(x,y,z) = <20x, 8y^3, 6e^2z> is conservative or not. If it is...
Solve the initial value problem. y′ + y = sin (7x), y(0) = 1 y(x) =...
A curve is given as the intersection of the two surfaces 2x + y + 2z...
3. Find the derivative of ?(?) = ??? (5? + 7), by first principle of differentiation...
Find an equation of the tangent plane to the parametric surface r=(u,v)=ucosv I +usinv j +vk...
A tank is full of water. Find the work required to pump the water out of...
Determine the function f(x) described by the given initial value problem. f''(x)=3sin(x), f'(pi)=-2, f(pi)=-5. What is...
A fuel tank full of oil is buried 10 feet below the surface. It is shaped...
Use the following formulas to set up two integrals for the arc length from (0, 0)...
Part 1) Find the derivative of the function f(x)=e^((x^2)/(x^2+4)) Part 2) Find the derivative of the...
Find a general solution to the system X' = A X(t) for the given matrix A...
Given the function f(x, y) = e^(x)*sin(y) + e^(y)*sin(x) approximate f(0.1, -0.2) using P(0, 0).
Find the exact length of the curve. x = 4 + 12t2, y = 1 + 8t3, 0...
Suppose that liquid is to be cleared of sediment by allowing it to drain through a...
Use properties of the Laplace transform to solve for the transform of the following functions of...
A measure of the adhesiveness of honey can be modeled as f(x, y) = −125.48 +...
A man has a bicycle and a balloon. He lets go of the balloon, and starts...
The marginal cost C′(q) (in dollars per unit) of producing q units is given in the...
Let F (x, y) = 2xyi + (x – 2y)j, r (t) = sin ti –...
You need a box with a volume of 1000cm3. The top and the bottom of the...
Find an equation of the tangent to the curve at the given point by both eliminating...
Use a Maclaurin series in this table to obtain the Maclaurin series for the given function....
g. Explain what is meant by the statement that “differentiation is the inverse of integration” and...
Halle ??? , ??? , ??? para: (12 pts.) ?(?, ?, ?) = ? 3 ???(...
Remember to write all of your work on your paper and box your final answer. The...
A surveyor standing 50 feet from the base of a large tree measures the angle as...
Find the dimensions of a rectangle that give the maximum area of the rectangle, given that...
1. A baseball team plays in a stadium that holds 66000 spectators. With the ticket price...
Find the dimensions of a rectangle that give the maximum area of the rectangle, given that...
The function f(x) = x^3 − 6x^2 − 15x + 1 has critical values x =...
A travel agency will plan a group tour for groups of size 30 or larger. If...
Evaluate the following integral: 1. ∫xsec(square)xdx 2. ∫e(power)t{root(1+e(power)2t)}dt
Given P(x)= -0.02x3+600x-20000 on [50,150], find the maximum profit.
evaluate the double integral x^2 y da, r is 9x^2+4y^2=36, use x=2u and y=3r
Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.001x^3+0.07x^2+16x+600, and currently 90...
Let ? (?, ?) = (? 2 cos ? + cos ?)? + (2? sin ?...
Through research, a company produces a function, ?(?), that tracks the company’s profit (in $) when...
Answer all the following 1a. Find any intercepts. (Order your answers from smallest to largest x,...
If a circle C with radius 1 rolls along the outside of the circle x2 +...
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