LDE with Variable Coefficients d²y + 6(x² + x) sin x d?y 6x2 sin x+ 6y sin x – 6 sin x- + sin x- dx2 dy dy x(x – 2) sin x dy = sin x + x?sin³x + x?cos?x sin x dx

Q: メ+2LX X 2 X 3

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: 5. а. ³(1 + t4)³ dt

A:

Q: ex -dx e2x+1 00 Determine el valor de a e R tal que: 4 a

A:

Q: -( s-1 ) = e' cos(At) s2-2s+5 The value of A is

A:

Q: Marty bought 5 pounds of apples for 98 cents a pound. What was the average price per pound that…

A:

Q: Fincl the general equation of y) + 3y? - 10y -0

A: Let's find.

Q: Use the root test to determine whether the series 7n -n - 2 3n2 +n + 4 converges or diverges. Since…

A:

Q: Find the area of the region bounded by the following curves y = 3 - x and y = -4x. %3D %3D

A: y2=3-x  and y2=-4xSolve both the equations:3-x=-4x3x=-3x=-1Substitute x=-1 in y2=-4xy2=-4(-1)y=±2The…

Q: Q/ Find the Surface area generated by revolving y = 1 – x2 around the y- ? 0 <x <1 axis, where

A:

Q: Complete the table by Identifylng u and du for the Integral. u = g(x) xp (x),6 = np | (tan(x)…

A: We have to find the integral

Q: 15. Estimate the value of dr using a Riemann sum with 4 subintervals with left and right endp 16.…

A:

Q: Consider the function f(z) a* + 4x. (a) Find the r- and y-intercepts of the graph of f (if any). (b)…

A:

Q: which of the following interval is the solution set for /x-3/ + /x+2/ < 11 choices a.) (-5,6) b.)…

A:

Q: I need answer within 20 minutes please please with my best wishes

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: ex que: / e2 + 1 tal que: Determine el valor de a E R 4

A:

Q: Find the position function s(t) for an object with acceleration function a(t) = 9sin(3t), whose…

A: We have to find the s(t)

Q: A sequence is shown. -12, -7, -2, 3, 8, 13, … Which function produces the same sequence? f(n) =…

A: nth term of A.P. f(n)=a+(n-1)d

Q: السؤال 4 |- csc2 - (5æ). dæ 1 i cot (5z) + CO -cO 1 cot (5x) + CO 5 cot (5x) + CO 5 cot (5æ) + CO

A:

Q: The consumer price index, C, depends on the current value of gross regional domestic expenditure E,…

A: Let's find.

Q: (s-20) L-1 Is²-9.

A:

Q: sec? r, Find the volume of the solid obtained by rotating the region bounded by y = T = 0, x = and y…

A:

Q: 4rabc 1 is Given that the sum a + b+ c is 3 The volume of an ellipsoid a2 62 fixed, show that the…

A: We need to prove given statement.

Q: Evauate (x²+9²) dxcky

A: Solution is given below:

Q: In Exercises 3, 5, 7, 9, 11, and 13, graph AFGH with vertices F image after the similarity…

A:

Q: Find the center-radius form of the equation of a sphere which circumscribes two externally tangent…

A:

Q: Given vectors in R3 (2 -1 0),(3 1 2) and ( 1 0 1). They are linearly independent. Select one: O True…

A: To find that the given vectors are linearly independent or not.

Q: Find the arc length traced out by the endpoint of the vector-valued function 7(t) = t cos t î + t…

A: Solved below.

Q: a) Is the series sin(n) is n³ + 3n2 – 7n + 1 n=1 absolutely convergent or divergent? justify your…

A:

Q: Finel the areca of Hhe region above the x-axis bouncled by the fuunetion 9= 4x-x?. う.

A: Area of a region bounded by a curve y=f(x) is given by, A=∫abydx where a and b are points of…

Q: (-1)"n+ a) Is the series >, n5 + n + 1 n=1 convergent, absolutely convergent or divergent? justify…

A:

Q: State the domain, vertical asymptote, and end behavior of the function. h(x) = – log (3x – 7) + 6…

A:

Q: f(æ) = / t2 – 9 dt 1+ cos? (t) At what value of x does the local max of f(x) occur?

A: Given: For the local maximum value of f(x), we must have f'(x) = 0. Here,…

Q: Evaluate the integral 7-2x dx /7+12x-4x²

A:

Q: In Problems 13 0-16 O, write a differential equation that fits the physical description. 16. The…

A:

Q: 2 The sum of an infinite geometric sequence is seven times the value of its first term. a Find the…

A: Given problem:- 2 The sum of an infinite geometric sequence is seven times the value of its first…

Q: Find the average value of the function f(x)=3x^5 on the interval 2 ≤ x≤ 6

A:

Q: Find the ualu of -1 -30 10

A:

Q: Evaluate the following definite integrals using the Fundamental Theorem of Calculus.  1. ∫13…

A: This question can be solved using the concept of fundamental theorem of calculus.

Q: / Find the volume of the solid generated by revolving the region bounded by y = vcos x, y = 0 & osxs…

A: Volume of solid of revolution

Q: Identify whether the statement represents an exponential function.  The height of a projectile at…

A: We can explain the answer as below.

Q: What are the intervals on which the graph of the function f(x) = x +2x+1 is concave upward? O a.…

A: Option (e) (-∞,-1) and (0,∞)

Q: Find all values of x and y such that Px(x,y)=0 and Py(x,y)=0 simultaneously.   P(x,y)=…

A:

Q: Suppose z is a function of x and y. and tan Vy? + x² = 2"e6y dz dz Solve for and

A:

Q: ne hundredth derivative of p (x) (x + x³ + x')1º (1 + x² )11 (x³ + + x Justify ya

A: P(x) = (x+x5+x7 )10(1+x2 )11(x3+x5+x7) Here, (x+x5+x7)10  will have x70 as leading degree. (1+x2)11…

Q: бу + 4z Зх + Зу = -24 %3D -6 %D 2x 3z = 4 (х, у, 2) -

A:

Q: Evaluate each definite integral. S f(x) dx y f(x)

A: Topic:- application of integration

Q: The equation of the curve is y = x' + 6x. Find the x-coordinates where tangent lines are vertical.…

A:

Q: Problem 3 T A. N is rotated 3n radians. Mark the point where it is located as A. YA B. N is rotated…

A:

Q: 4) The cost of making x items is C(x)=15+2x. The cost p per item and the number made x are related…

A:

Q: Q2 Find the area of the regien bounded by the following curves -4x . y? = 3 - x and y = %3D

A: