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Calculus Questions
A plate in the shape of an equilateral triangle is submerged vertically in a tank of...
A certain item can be produced at a cost of $10 per unit, the demand equation...
find the taylor series f(x)=1/x at c=1 and the radius of convergence.
Find and classify each critical point (as relative maximum, relative minimum, or saddle point) of f(x,y)...
Find the rate of change of total revenue, cost, and profit with respect to time. Assume...
f(x) = x / ln x (a) e ≈ 2.7. Use the differential in x=e to...
A store notices that a particular item in stock is never sold. This item could potentially...
Finding Maclaurin series for arcsin x, arccos x and arctan x Please give a detailed explanation
Let f(x,y) = e-x^2 + 5y^2 - y. Use the Second Partials Test to determine which...
Find the rate of change of total revenue, cost, and profit with respect to time. Assume...
2)Find the slope of the tangent line to the curve r = sin (O) + cos...
Multiple choice 1. if a = [1, 2] b = [2, 7] find a + 2b...
If the instantaneous rae of change of a population (P) is given by 95?^2−342?^(3/2) (measured in...
your velocity is given by v(t)=t2+2 in m/sec, with t in seconds estimate the distance,s, traveled...
⃗ ⃗ A. For the vector field ?(?, ?, ?) = (? + ?)?⃗ + (?...
A professional athlete signs a four-year contract in which the earnings can be modeled by c...
15) The local maximum point of the function f(x) = x^2 e^x is:
Absolute Maxima and Minima: 1. Use the methods discussed in Ch 3.4 to find the absolute...
USING LAPLACE TRANSFORM An object weighing 1 kg is hung on a spring and a stretch...
Use the method of Lagrange Multipliers to find the maximum value of the function f(x,y)= x^3y^2...
a mass 1kg stretches a spring by 74cm. the external force F(t)=8sin3t, setting the motion with...
f(x)= 1/3x^3-3x2+8x+1 Fin the following: a) f'(x) b) The critical numbers c) State the intervals where...
Evaluate the iterated integral by converting to polar coordinates integral(upper=a, lower=0) integral(upper=0, lower= -√(a2-y2)) 9x2y dx...
A rectangular field is to be enclosed on 4 sides with a fence with an area...
[ Part 1 ] Determine the convergence or divergence, using the most appropriate test. State what...
If a = 8, b = 2, c = 0, d = 4, find the polar...
solve the ivp by using the laplace transform y1' = -y2 , y1 = y2' y1(0)=1...
Consider the expression lim as x→∞ of g(x)^f(x). Suppose we know lim as x→∞ of g(x)...
Find a cubic function y = ax3 + bx2 + cx + d whose graph has...
A) Consider the vector field F(x,y,z)=(9yz,−8xz,8xy). Find the divergence and curl of F. div(F)=∇⋅F= ? curl(F)=∇×F=(...
find the radius of convergence and interval of convergence of the series ∑ n=1 ~ ∞...
find the radius of convergence and interval of convergence of the series ∑ n=1 ~ ∞...
Use Laplace transforms to solve the following IVP for the position function x(t): x'' + 3x'...
17. Let f(x) = x3 – 12x + 5. a. Find the critical values of f . ...
Use multiple-application Trapezoidal rule with ? = 4 to estimate the value of tan−1(2).
Answer each of the following in details~: (a) Can the Bisection method be used to find...
Suppose f(x) = (2/x) + 5 . a. *Graph this function. b. *Find the equation of...
Find the area of the region bounded by the y-axis, the curve y = ln(x+ 1),...
Let T: P3→P3 be given by T(p(x)) =p(2x) and consider the bases B={1, x, x2, x3}and...
Use implicit differentiation to find dy dx for x^2 y^3 + 3y^2 − 5x = −10....
Wheat production W, in megabushels, in a given year t depends on the average temperature T,...
Find all local extrema. Write each as an ordered triple and label as a local max,...
a) Set up the integral in cylindrical coordinates for the moment of inertia about the z-axis...
1. Let f (x, y) = xy((x^2-y^2)/(x^2+y^2)) if, (x, y) 6= (0, 0), 0, if (x,...
Let be a differential equation. What is a solution?
Suppose R>0. Which of the following statements might be true about a power series centered about...
Suppose R>0. Which of the following statements might be true about a power series centered about...
Suppose f(x,y)=sqrt(tan(x)+y) and u is the unit vector in the direction of 〈2,−1〉. Then, (a) ∇f(x,y)=∇f(x,y)=...
Find the maximum and minimum values of the function f(x,y,z)=x2y2z2 subject to the constraint x2+y2+z2=361. Maximum...
Find the general solution of each of the following two homogeneous 2nd order differential equations: (a)...
Solve the initial value problem (IVP): (y + x 2 y)y' = y^2 + 1, y(0)...
Solve the initial value problem (xy' = 2y + x^ 3 + 1, y(1) = 1/2,...
. Consider the curve C = {(x, y) ∈ R 2 | x 4 + y...
Find the volume of the solid bounded by the parabolic cylinders z= y^2+1 and z=2-x^2. ***Please...
Find f: f '(x) = x (3 + 5x) f(1) = 5
(a) Use an Integrating Factor to solve the ordinary differential equation, r dy/dr + 2y =...
(x+1)y'=y-1 2) dx+(x/y+(e)?)dy=0 3)ty'+2y=sint 4) y"-4y=-3x²e3x 5) y"-y-2y=1/sinx 6)2x2y"+xy'-2y=0 ea)y=x' b) x=0 2dx/dt-2dy/dt-3x=t; 2
A force F is applied to a spacecraft with velocity vector v. Express F as a...
I need the solution of the question 3. Q1. Find a power series solution in powers...
Find the arc length of r = θ 2 from θ = 2π to θ =...
Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.) x3...
Find the Taylor series for f(x) = e^3+2x centered at x = −1.
A particle moves along a coordinate line so that its velocity at time t is ?(?)...
A drug response curve describes the level of medication in the bloodstream after a drug is...
Let be twice differentiable on an open interval. If for every value of in the open interval, then is concave...
Find an equation for the line tangent to the given curve at the given value of...
Solve y'' + 2y' + 4y = 1 subject to y(0) = y'(0) = 0 (differential...
The equation 4 = 2xy^3 - xyz is a level surface in 3-dimensional space. A person...
The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced...
A large circle on a sphere is a circle that forms the intersection of the sphere...
Solve the following initial value problem. y′′ − 4y′ + 3y = 5x + ex, y(0) = ...
Determine whether f(x)=3x^5-5x^3 has a relative maximum or relative minimum at x=0
The slope of the tangent line to the graoh of at approaches infinity as
Let S be the upper part of the boundary of W - in other words S...
Find the coefficient of the fourth term, that is, the coefficient of (x-a)^4 of the Taylor...
Two ships are on a collision course. At noon, ship A is positioned 88 nautical miles...
find the sum of the series sigma n=0 to infinity {2 [3^(n/2 -2) / 7^(n+1)] +...
find the sun of the series sigma n=0 to infinity 2(3^n/2 -2)/7^n+1 + sin ( (n+1)pi...
Can please someone answer this right cause I've sent already 3 times, thank you. A wire...
Use implicit differentiation to find an equation of the tangent line to the curve 3xy^3+4xy=56 at...
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