7. Find the volume of the solid obtained by rotating the region bounded by and r = 0 about the r-axis. -1

Q: Solve for the general solution using homogeneous

A:

Q: e2t (t3 + 5t – 2) - 6+ 5(s – 2)? – 2(s – 2)³ (s – 2)* 6 2 - | (s + 2)* (s – 2)? 8 – 2 Option 2…

A:

Q: 3 4 11) –3 0 -5 Ans. r = 2 - 4 5

A: A detailed solution is given below.

Q: Find the velocity and acceleration vectors in terms of u, and ug- do r= a(7 - sin 0) and =7, where a…

A:

Q: Use Method of Variation of Parameters: [D2 - 8D + 16]y = e4Xsec2x

A:

Q: c) y(x) = c, + cz + Acos3x + Bsin3x Q.6) The singular point (s) of (x² + 4)y" – x y' + 4y = 0 , is…

A:

Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

A:

Q: The limit lim (x - cos) x00 is an indeterminate form of type 0 . o. Select one: OTrue O False

A: Topic:  Indeterminate form of limit

Q: 2. Consider the function 2r2-9r-18 f(r) r2-r-2 (a) Sketch the curve y f(r). (b) Find the area of the…

A: Let's find.

Q: Consider the solid obtained by rotating the region bounded by the given curves about the specified…

A: Since you have posted multiple questions as per guidelines we can solve only one question at a time…

Q: x = -2t 1 - y = z – 8 and l2 2 3 Given: line l1 : 4 y = 2+ 2t z = 6+ 2t 2. Find the equation of a…

A:

Q: SíS(x² + y²) dx dy 0.

A: To evaluate the given iterated integral.

Q: Use (a) bisection method and (b) false position method to find the solution to the following within…

A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

Q: x = -2t x - 3 1 – y Given: line l1 : 4 = % – 8 and l2 2 y = 2+ 2t - % = 6 + 2t 1. If the given lines…

A: We have to find angle between the lines L1 & L2

Q: Evaluate the given Integral 1. ſ csc x (cos2 x - 1)dx

A: Solution is done in step 2

Q: 1. 3p² tan¯p dp

A:

Q: Find the minimum and maximum values of the function y = 8Vx? +1 – 5x on the interval [0, 3] by…

A: To find the minimum and maximum values of the function y=8x2+1-5x on the interval 0, 3 by comparing…

Q: Q3. (a) Find the binomial expansion of (1 – x)-1 up to and including the term in x2.

A: We have to find binomial expansion.

Q: Line tangeet Find the the equetion of the Cur ve X= 2+ Sec p und at p = to

A:

Q: Determine if the following function is periodic. If it is periodic find the fundamental period, p.…

A:

Q: 1-x2 So Si S dz dy dx 0. 0.

A:

Q: give me an example of properties of definite integral

A:

Q: S In(5 + Vr)dr

A: This question can be solved using the concept of integration by substitution and integration by…

Q: 4. Evaluate the integral 2+ In? x -dx. x – x ln x (a) 3 ln |In a – 1| + 2(ln r – 1) + (In a – 1)2 +…

A:

Q: 6x? + Sx t 16 dx +2x +6 x + 3? a.Sinlat3l+; 4 Cが)返が)+c er none

A:

Q: Q.1) The general solution of the equation y e' cosA a) y(t) =c, +c; x +c,¢ ' de' cosa Re' sinx b) y…

A:

Q: The gradient of f(x, y) xy at (x, y) = (– 1, 1) is

A:

Q: SIn(5 + VT)dr Algebraic Substitution

A:

Q: Use the Linear Approximation to estimate Af for f(x) = , when a = 2 and Ax = 5+x2 (Use decimal…

A:

Q: 1. lim yx2 —2х + 7 г2 + 4 — 1 2. lim x→-1 x2 + 7 2? - 5х — 3 3. lim т—3 4х2 — 7х - 15

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: y=v16-x 2.

A: This question is based on application of integration.

Q: Evaluate the limit In(x) lim x+1 x- 15x+ 14

A: Given,  limx→1ln(x)x2-15x+14

Q: Determine the absolute maximum and minimum values of the function f(x) =+x the interval -2sxs2. x…

A:

Q: Find aly if and of to

A: Differentiation

Q: 12. A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 f/sec. Assume the…

A:

Q: Consider the function f(x) = The value of f'(0) is: (x+ 1)2

A:

Q: Obtain the differential equations satisfied by the given particular solution 2. y = 7- 2x +e* 3 1-…

A: Hi there! Thank you for your question. Unfortunately as per our guidelines we are restricted to…

Q: 1 f(x) 1+x 1 f(x) 1- x 2 f(x) 3 — х x² f(x) x* + 16

A: Given that the series the  To find the Power series

Q: Let F(x) = (f(x))² + (f'(x))², F(0) = 6, where f(x) is a thrice differentiable function such that…

A:

Q: dx 8. Evaluate the integral / zlnrV(In x)² – 8 x In a V(In a)2 – 8 |

A:

Q: 3. Php 120,000 is deposited in a savings bank that earns 9% simple interest per year. What will be…

A: given principal amount (P)=php 120,000 interest R=9% T=5years sum of amount after five year? formula…

Q: dz and at dz 3. Let z x2 + y3, r 2st and y = s- t2. Compute for

A:

Q: A particle moves along a horizontal line. Its position function is s(t) for tz 0. For each problem,…

A: Given: st=t3-t2-56t We know that  vt=dsdt; at=dvdt

Q: A particle is moving along a horizontal path which starts at a distance of 5 ft to the right of a…

A:

Q: 1 (b) 352+5s+1 (d) 3 (c) 5s+2

A:

Q: 1 -dx. State whether the improper integral converges or diverges. 22 +4 Evaluate 00

A: We have to check weather the given integral is converges or diverges.

Q: 2. Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB.

A: ProjBA=B⇀.A⇀A⇀

Q: '9 — х? dx x2

A:

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A:

Q: Suppose that f(æ, y) f(x, y) in the directional (1, – 1) and at the point = xy. The directional…

A: Here, the given function is: f(x,y)=xy So, ∇f=∂f∂x,∂f∂y⇒∇f=y,x⇒∇f(4,-3)=-3,4