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You found a particular solution to y''+2y'+5y=e^(2t) by guessing a function based on the form of...
Use differentials (or a linear approximation) to estimate the value of √4.5 b) Use a Taylor...
Use the Chain Rule to find the indicated partial derivatives. ? = ?^ 2 + ?^...
Find the absolute maximum and minimum values for f(x) = 1 x + lnx, 1 2...
For the curve given by r(t)=〈6sin(t),−3t,−6cos(t)〉 Find the unit normal N(t)=
Prove that gradients of functions f(x, y) = 1/2 log(x^2+y^2) and g(x, y) = arctan(x) are...
The unit vector u makes 45 degrees with the x-axis. The angle u makes with the...
In this problem, p is the price per unit in dollars and q is the number...
A certain small country has $10 billion in paper currency in circulation, and each day $40...
Find the volume V of the solid obtained by rotating the region bounded by the given...
In 1980 the population of alligators in a particular region was eatimated to be 1500. In...
The size of the world population at the beginning of 1988 was approximately 5.14 billion. At...
For the function f(x) = x, estimate the area of the region between the graph and...
Given f′(x) = (9-x)2/ (x2+9)2 and f′′(x) = (2x(x2-27)/ (x2+ 9)3 , answer the following ques-...
Show a step by step drawn sketch of the function below. Ensure you are finding everything...
. For the function x,y=xarctan(xy) , compute fx , fy , fxx , fyy , and...
The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area...
A farmer finds that if she plants 80 trees per acre, each tree will yield 30...
A force of magnitude 15N is the resultant of two forces, one which has a magnitude...
Q18) Let u(x) = 2x2 and f (x) = [u(x)]3 = 8x6. Which of the following...
Question #11 Find: The first 3 nonzero terms a Taylor series (at a = 0) of...
Use a matrix method to find the relationship between the constants a and b for which...
Differentiate the following functions. Simplify your answers. SHOW ALL STEPS. A. h(x) = (e^3x −2)^5 B....
Consider the non-homogeneous equation y(4)−4y(3)+5y′′−4y′+4=2e2t+sinty(4)−4y(3)+5y″−4y′+4=2e2t+sint. The general solution of the corresponding homogeneous equation is yh=c1e2t+c2te2t+c3cost+c4sintyh=c1e2t+c2te2t+c3cost+c4sint. What...
A pilot maps out her flight plan and determines that to reach her destination on time...
A box with a mass of 275N rests on a frictionless ramp inclined at an angle...
Find a set of parametric equations for the tangent line to the curve of intersection of...
For y=f(x)=x^14-14x, and 0≤x≤2, find the following (a) Find the values of x for which f(x)...
find the exact value (I could not figure out how to type a degree sign. So...
how can i calculate the diameter from this equation 7106,128 = ((61,5/d)+18))*(1/d4), i have the answer...
Consider the power series f(x) =x + x2/2 + x3/3 + x4/4 +··· (a) What is...
Consider the following ODE y'' - xy' +2y = 0 Find the recursion formula using the...
show d/dx (tanh^-1x)=1/(1-x^2)
Find the distance from the point P(3,5,6) to the line (x-1)/2 = (y+1)/3 = (z-1)/3
1. Find the absolute maximum value and the absolute minimum value, if any, of the function....
find the open intervals where f(x) = x √ 4 − x 2 is increasing or...
Use the method of cylindrical shells to find the volume generated by rotating the region bounded...
Hi I'm having alot of difficulty with this question. When a 10 foot ladder leans aganist...
let A = {−4, 4, 5, 8} and B = {4, 5, 6} and define relations...
Find the Mean from the following group data. Classes Frequency 11-21 18 21-31 20 31-41 25...
Find the maximum and minimum values of the function g ( θ ) = 2 θ...
A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at...
Ship A is heading east toward a port at 20 mi/h and another ship B is...
give an example of a continuous and differentiable function at a point x = a, with...
PLEASE explain STEPS. Thank you :) Find the flux of the vector field F = x ...
Use the limit definition of the derivative of function x=a, f'(a) to find an equation of...
During the coronavirus pandemic, the number of cases has been modeled by the function y=e^-t2(where t...
(a) Find horizontal and vertical asymptotes of f(x) = 2 + x 2 − 3x 6...
A sample initially contains 200 grams of a certain radioactive isotope. After 5 hours, the amount...
A sample initially contains 200 grams of a certain radioactive isotope. After 5 hours, the amount...
A sample initially contains 200 grams of a certain radioactive isotope. After 5 hours, the amount...
Find the intervals on which f is increasing or decreasing. Find the local maximum and minimum...
a) Given s(t)= -10t^2+2t+5 where s(t) is the position of an object in feet and the...
A)Determine if the function g(x) = 2(x^14)^1/15 satisfies the mean value theorem over the interval [-70,70]...
Evaluate the integral by reversing the order of integration. 2 0 2 6ex/y dy dx x
given the equation of a line ax+by+c=0 how can i find the normal vector to it??
1) Write a polar equation of a conic with the focus at the origin and the...
A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter...
Assuming that P≥0, a population is modeled by the differential equation dP/dt = 1.4P(1- P/3400) 1....
Show that the line ?/3 = ?/−2 = ?/2 is parallel to the plane 2? +...
a) The Cost of selling widgets is given by the cost function c(x)= 4x+10. The price...
Find T, N, and κ for the plane curve r(t) = (7t+2) i + (5 -...
2. (a) Let a,b ≥0. Define the function f by f(x)=(a+b+x)/3-∛abx Determine if f has a...
Bacteria grown in a certain culture increase at a rate proportional to the amount present. If...
Find the area of the largest rectangle in the first quadrant with one side on the...
A company has determined that its weekly total cost and total revenue (in dollars) for a...
3) Find a polar equation of the conic in terms of r with its focus at...
Use the method of cylindrical shells to find the volume of the solid obtained by rotating...
1.Given that y = x + tan−1 y , find dy dx 2.Determine the equation of...
Find the general solution of the given differential equation. Give the largest interval over which the...
One airplane is approaching an airport from the north at 213 km/h a second airplane approaches...
Find the linearization of the function f(x,y) = √xy at the point P(1,1) to approximate f(4/5,...
solve initial value problem of: y' = y + te^(3t), y(0) = 1
Find the Maclaurin series for the following function and indicate the interval for the Maclaurin series...
Use the method of Lagrange multipliers to find the maximum value of f subject to the...
Variation of Parameters. ODE y''+4y=cot^2(2t)
A student makes a rectangular box subject to following conditions. i) The top of the box...
One common parameterization of the sphere of radius 1 centered at the origin is r ⃗(u+v)=sinu...
Use Lagrange multipliers to find the point on the given plane that is closest to the...
The online program at a certain university had an enrollment of 560 students at its inception...
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