yu) + 2y"+ y - x²sinx

Q: Given the differential equation: y" + 3y' + 2y Propose an appropriate particular solution. O yp = (A...

A:

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the...

A: To integrate the given integral.

Q: Is there a value of a for which limx1 3x^2+ax+a+3/x^2+x-2 exists? Enter the value of a if such a exi...

A:

Q: For tax purposes, you may have to report the value of your assets, such as cars or refrigerators. Th...

A:

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by 6x x' and y...

A:

Q: Choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutio...

A:

Q: Radium decomposes approximately at a rate proportional to the amount present. If 100 g now will be 9...

A:

Q: Compute the length of the curve r(t) = (2t, In(t), t² ) over the interval1<t < 4. (Use symbolic nota...

A:

Q: Let f(x) cos(x), find each of the following: Find the second derivative, f''(x) Find the third deriv...

A:

Q: 3. a) Write the expression as a logarithm of a single quantity. 6 [In x – In(x + 1) – In(x – 1)] b) ...

A:

Q: Use the graph of y = f(x) below to graph the function y = –3f(x – 2) 5- 4- 3 2- y = f(x) 1- -6 -5 4 ...

A: topic - functions

Q: Given the differential equation + 9y = 0 and the initial conditions y(0) = 0 da2 and y (0) = a, what...

A:

Q: II Let S be a circle with its center at point O and a radius of 1. Let AABC be a triangle such that ...

A:

Q: Solve for the general and particular solution. Underline the roots and constants. y''' - 3y'' + 3y' ...

A: The given differential equation,y'''-3y''+3y'-y=0 ; y'(0)=2

Q: Evaluate the integral. (Use C for the constant of integration.) cos(50) de

A:

Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the equatio...

A:

Q: +e pllowing system of equations: Ge + ue = 0 x- e- u,e- = e + e- –ue- = et +e-* Vhat are uj and u2? ...

A:

Q: The following functions give the populations of four towns with time t in years. (i) P = 700(0.90)' ...

A:

Q: Evalúe la integral iterada. S S xe" dædy 2e-1 3 4 бе-1

A:

Q: Find the particular solution to the differential equation y''-4y=6t-4t3 when y0=y'0=0

A: Given:   y''-4y=6t-4t3   y(0)=y'(0) =0 That is  y(0) =0 y'(0) = 0

Q: ) Suppose X = {1,2, 3} and Y = {5,6). The number of elements of the set P(X × Y) = %3D

A: Number of Elements in Power Set P(A) of set A with n elements is 2n

Q: Given the differential equation, + 4y = e-2 [cos? 3x – sin' 3x], the proposed particular solution is...

A:

Q: Given the differential equation d*y d²y +3-6 dy +y = 5e² – 3 %3D dz4 dx? da how many arbitrary const...

A:

Q: The function f (x) is shown in the figure. Use the controls to transform f(x) to graph y = f(x) +3. ...

A:

Q: f(x)=x+5 glx)=x -1

A:

Q: (c) lim 1 In x x→0+

A: To find out the limit

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on th...

A:

Q: dy y2 – 1 y(2) = 2 dx

A:

Q: Question 3 Express the differential equation d'y dy 30y = 0 da? da in differential operator form. O ...

A: Topic = Differential equation

Q: Use the graph to determine the equation of the vertical asymptote: -5 -4 - 4.

A: NOTE: Refresh your page if you can't see any equations. .

Q: (f) Šketch the direction field for dy/dx = x – y by using the method of isoclines or a computer soft...

A: (f) Given that                dydx=x-y Direction Field:                              

Q: If f(r) = 3 x - 2 and g(x) = 4 x + 9, find the following- %3D (a) f(g(x)) = (b) g(f(x)) = (c) f(f(x)...

A: The given function is: fx=3x-2gx=4x+9 

Q: Evaluate the integral. (Use C for the constant of integration.) e cos(50) de

A:

Q: Evaluate the limit 6x 2x 9x lim 3x 9x 3

A:

Q: The infinite curve y = e¬*,where x > 0 ,is rotated around the x –axis. Find the area of the resultin...

A: Find area of surface.   

Q: The general solution to the differential equation + - 2( = 0 i, Oz = C + Cze + Cze# Ot= C + Cze + Cz...

A: topic - differential equations

Q: Evaluate the integral: ∫cos^3(t/5)sin^2(t/5) dt

A:

Q: (b) lim ln(sin x) x→0+

A: b) limx→0+ln(sin x)

Q: Given the differential equation, d'y - 3 + 4y = e 2* cos? 3x - dy sin 3x, the proposed particular so...

A:

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. 1 d...

A:

Q: 1. Use the graph of the function f to decide whether the value of the given quantity exists. (If an ...

A:

Q: S 2e2* sin(e²*) dx = +C

A:

Q: 8. Find the volume of the solid whose base is the semicircle y = V9 – x², where -3 sIS 3, and whose ...

A: This question is based on application of integration.

Q: Evaluate the integral. (Use C for the constant of integration.) 16 xp +C Need Help?

A:

Q: SL S** rye dzdydx

A:

Q: Evaluate the following limits. If needed, enter oo for oo and oo for V7 + 8x2 (a) lim I 00 11+2x 7+8...

A: To evaluate:a) limx→∞ 7+8x211+2xb) limx→-∞ 7+8x211+2x

Q: Radium decomposes in air at the rate proportional to the amount present. It is found out that in 25 ...

A:

Q: Evaluate the integral. NOTE: Enter the exact answer. 10 xy" dy dx x2

A: ∫01∫x2xxy10dydx  

Q: INTEGRATE

A:

Q: Find the area b0 und by Curves the y3= X-3

A: The region is bounded by y=9x2-36, y=0, x=1 and x=3