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y''+4y=sint + u_pi(t)sin(t-pi) y(0)=1 y'(0)=0 find the solution
Use Green's Theorem to evaluate the line integral. C (x2 − y2) dx + 5y2dy C:...
Use the Chain Rule to find the indicated partial derivatives. u = x^4 + yz, x...
Use La Place Transform to solve: DO NOT USE PARTIAL FRACTIONS- y"+4y=8 y(0)=2 y'(0)=0
Find the absolute extrema of the function over the region R. f(x,y) =x^2−4xy+2 R= {(x,y): 1≤x≤4,...
Use intermediate theorem to show that theer is a root of f(x)=-e^x+3-2x in the interval (0,...
Complete parts A through F below to find nonnegative numbers x and y that satisfy the...
show that the function f(x,y,z) = 1/√(x2+y2+z2) provides the equation fxx + fyy + fzz =...
Identify the absolute and relative maximum and minimum of f (x) = 2x3 – 3x2 –...
Find all first derivatives of the function: f(x,y) = (x+y)/(x-y)
1. (a) If a chord of the parabola y 2 = 4ax is a normal at...
Use Cramer’s Rule to solve the equations : ? − ? + 2? = −3 4...
Find the area of the region by integrating with respect to y (a) The area bounded...
Find the Arc Length of the cardioid r = 1 + sin(theta), using the substitution method...
Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given by...
Find the Laplace transform of the following functions. (a) f (t) = { 7 0 < ...
find the maclaurin series for f and its radius of convergence. (1) f(x) = (1-x)^-5 (2)...
Find the center of mass of a thin plate covering the region between the x-axis and...
Integrate the function ?(?,?,?)=−8?+3? over the solid between the planes z=0 and z =3, contained between...
1. Integrate using Tables: (a) ∫ ?/(√4+5?)dx (b) ∫ 3/(2?√9?^2−1) dx , if ? > 1/3....
Find and classify the critical plints of the given function f(x,y) =xy^2+yx^2-x
Find the derivative of each function. Do Not Simplify! a) ? = √? (7 − 3?)...
Find the equation of the tangent line to the graph of ?3 + 2?? = ?3...
Use finite approximation to estimate the area under the graph of f(x)=x2 and above the graph...
Calculate the higher derivatives. y = tan(x) y'' = y''' = If f(x) = sin(x)...
The traffic flow rate (cars per hour) across an intersection is r(t)=200+800t−240t^2, where t is in...
Find the general solution to the differential equation y′′+ 2y′= 3 + 4 sin 2t.(Hint: Variation...
The atmospheric CO2 level A(t) at a volcano at time t (in parts per million by...
find the volume of the following solid . The solid common two the two cylinders x^2...
Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(−2, 1, 0),...
A cable that weighs 8 lb/ft is used to lift 550 lb of coal up a...
3. Find ? so that the plane (? + 1)? − ? + (2 − ?)?...
evaluate the indefinite integral (1+2x)/(1+x^2) dx
Find the volume of the solid ? if the base of ? is the triangular region...
Strontium-90 has a half-life of 28 days. A) A sample has a mass of 75 mg...
Question 1 (a) Find the average value of f(x) = x 2 − 5 + 1...
Use Newton’s Method to approximate the real solutions of x^5 + x −1 = 0 to...
A weather balloon rising from the ground at 140 ft/min is tracked by a range finder...
Solve 2sin(x)=3−4cos(x) for the first 2 positive solutions.
Let f be the function given by f (x, y) = 4ay2 −x2y3 −x2 for all...
Solve the differential equation y''' - 2y'' + y' = 2e^x - 6x
The rate of growth of the population of a city is predicted to be dp/dt =...
A box with a square base and open top must have a volume of 157216 cm3cm3....
Solve the problem. Round your answer, if appropriate. The volume of a rectangular box with a...
Let c(t) = (t^2, t sin(π t), t cos(π t)). Find the intersection point of the...
Find the point at which the line intersects the given plane. x = -t+8 , y=...
f(x)=2pix(1-x/g)^(1/7) g=0.75 n=7 solve with trapezoidal rule and two point guess quadrant and also Analytically
Find the center of the sphere x^2 + y^2 + z^2 = 6x + 4y +...
(A)At noon, ship A is 140 km west of ship B. Ship A is sailing east...
Find a path that traces the circle in the plane y=5 with radius r=5 and center...
#5. Evaluate ∫e^a(theta) sin(b(theta)) d(theta) where a,b ∈ℝ
Link has a business selling swords he has collected on his various journeys. He determines his...
A toy car, A, moves horizontally along the positive x- axis such that its position at...
Set-up, but do not evaluate, an iterated integral in polar coordinates for ∬ 2x + y...
Find the equation (in terms of x and y) of the tangent line to the curve...
The position of an object moving horizontally after t seconds is given by the function s...
Find Duf at P given : fx,y,z=6x^4y^4z^4 ,P1,-2,2 ; u=13i+23j-23k
?^2?′′ − ??′ + (? − 3)? = 0 Classify the differential equation given below. Find...
Find the absolute minimum value of the function f(x)=−x^2−4x+2 on the interval [−3,4]. a. -32 b....
A) Use the Linear Approximation to estimate Δf = f(4.9) − f(5) for f(x) = x...
A)For the function below, write the differential. f(x) = ln(1 + x2) dy =( )dx B)calculate...
Find parametric equations for the tangent line to the curve with the given parametric equations at...
Solve the problem. Find the area bounded by y(4 + 16x2) = 4, x = 0,...
Solve the problem. A rectangular field is to be enclosed on four sides with a fence....
In a normal respiratory cycle the volume of air that moves into and out of the...
A trough is filled with a liquid of density 875 kg/m3. The ends of the trough...
A poster has an area of 800 cm2. An image is to be printed on the...
Find the equation (in terms of x and y) of the tangent line to the curve...
Solve the initial value problem xy′ +2y = e^x2 , y(1) = −2
a) Let R be the solid enclosed by the paraboloid z = 8 − (x^2+ y^2)...
I want you to solve a integral question with substitution method and double integrals and explain...
Find an equation of the line that is tangent to the graph of f and parallel...
At a given point on a smooth space curve r(t), T(t) is the unit tangent vector,...
evaluate the following integrals∫(x sqrt(-8+6x-x^2))dx please show all work and every step
evaluate the following integrals∫(x^3+2x+1)/(x^2+x-2) dx show all work and every step please
For the given function u(x, y) = cos(ax) sinh(3y),(a > 0); (a) Find the value of...
Find dy/dx if y= tan(sinx)
(A) Assume that x and y are functions of t. If y = x3 + 6x...
Calculus Fill in the blanks! Suppose f(x) is a piecewise function:f(x) = x + 3, if...
Solve the following differential equation using Laplace dy/dt +2y=12sin4t y(0) =10
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