4ytt = yxx, 0 < x < π, t> 0; y(0, 1) y(x,0)=yt (x,0) = sinx y (л, t) 0,

Q: Use the formula for the sum of the first n integers to evaluate the sum given below, then write it…

A:

Q: 9. Find the volume of the solid generated by revolving about the axis y = 8 of the area bounded by…

A: To Find: The volume of the solid generated by revolving about the line y=8 of the area bounded by…

Q: Provide solution. 1. inverse laplace s/(S-2)^5 2. Laplace 1-cos2t/t

A:

Q: 4. Find all integer-valued points on the curve C given by the equation x² - 2x + y² - 4y = 620.

A:

Q: Let F = (3z + 3x²) i + (6y + 4z +4 sin(y²)) 3j + (3x + 4y + 6e²²) K (a) Find curl F. curl F = 0 (b)…

A:

Q: 1. Limit calculations. For each real-valued sequence, explain whether it is convergent, divergent to…

A: Solution (1).

Q: Use the matrix below to answer the following question. [10 6 .8 Answer: 10 5 12 4 6 12] Calculate…

A:

Q: Joyce paid $70.00 for an item at the store that was 50 percent off the original price. What was the…

A: Given, Joyce paid $70.00 for an item at the store that was 50 percent off the original price.

Q: Graph the solution for the inequality by using the block out method (shade the side that does not…

A:

Q: Let S be the upper half of the unit sphere x² + y² + z² = 1 and take n as the upper unit normal. Use…

A:

Q: What is the smallest integer n such that d(n) = 8? and d(n) = 10?

A:

Q: The trapezoidal rule for the evaluation of J f (x) dx a requires the interval (a, b) to be divided…

A:

Q: If A is a finite set, and B is a finite set, then the most we can say about An B is that it is…

A: A set is the mathematical model for a collection of different things; a set contains elements or…

Q: 4. Find all integer-valued points on the curve C given by the equation x² - 2x + y² - 4y = 620.

A:

Q: 7. Find all distinct abelian groups of order 30. That is give a list of groups, and prove that all…

A:

Q: Given a scalar field pç = x² + xy, calculate the surface integral over the region 0 ≤ y ≤ x²,0 ≤ x ≤…

A: Given scalar field is  ρs=x2+xy ,   0 ≤ y ≤x2  ,     0 ≤ x ≤ 1            The surface integral of ρs…

Q: 1. Solve for G.S. = 6 tan ax 24" + 184 (D4 + 5D²+4) y = cos (3x +4) 2. 3. (0²+4) y = 8 sec 2x

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: i just need 2.

A:

Q: 0 = z(x/(x)A) + z((x),^) — (x) „Ax

A: Here, we need to solve the following differential equations.            xy''(x)-y'(x)2+y(x)x2=0…

Q: Use an appropriate test to determine whether the series converges. M8 k=1 k! 5K₂K ... Select the…

A:

Q: Exercise 2. Let (E, ||-||) be a normed space. 1) Show that the norm map E → [0, +∞[, a → |||| is…

A: we know that      a-b ≤a-b

Q: 2. Let S = {1, 2, 3}. Test the following binary relations on S for reflexivity, symmetry,…

A:

Q: Use simple interest to find the ending balance: $6,400 at 3.9% for 5 years Show your work.

A: The given problem is to find the ending balance when $6400 at 3.9% for 5years by using simple…

Q: You are part of a team to go on a geological dig site and will arrive at the airport shown in the…

A: Given Data: Let us consider the given the direct route, AD, is 40 miles long but last week two…

Q: Evaluate the line integral I = fly(4x² + y2)dx + x(2x² + 3y²)dy] around the ellipse+= 1. (Hint: use…

A: Given I=∮[y(4x2+y2)dx+x(2x2+3y2)dy] here P =y(4x2+y2) Py= 4x2+y2+y(2y)=4x2+3y2 Q=x(2x2+3y2)…

Q: We know that (+)' = Find A A = x (Ax+B) (x+1)²

A:

Q: Evaluate the following flow integral lo (2xy-3, x² + 2y). Ê ds where the top half of the circle 2 +…

A: The given problem is to evaluate the given path integral of vector field over the given path C where…

Q: Let A = (²2²) 22 Find et and the general solution to X' = AX + (1)

A:

Q: Suppose we have a right-angled triangle and a square of equal area, both of which have side of…

A:

Q: limit as x → 1 of In x x-1

A:

Q: Let h(w, f) = √(1 + wf) be a function for the height (in cm) of a bush which is given w liters of…

A: It is given that h(w, f) = 1 + wf, where hw,f represents the height (in cm), given w liters of water…

Q: A car travels xm, 7.5m, 11.25m and 16.875m in the first, second, third and fourth minute of its…

A:

Q: Expand the following function in terms of Legendre polynomial: 35(cos(theta))^4

A: Given the function,                           35cos4θ.

Q: 2. Consider the vector field F(x, y) = (x,y). Let C be the upper half of the circle of radius 1…

A: The given function is F=x,y, and the curve C is upper half of the circle x2+y2=1 oriented counter…

Q: Find all solutions of e2x = x + 6, correct to 4 decimal places using the Newton Method.

A: The given problem is to find the solution for the given equation that correct upto 4 decimal places…

Q: Question 9 Find the general solution to the system x'=Ax where A is the given matrix. -2 -1 1 -1 -9…

A:

Q: 1~ x - 3 g(x) = g-¹(x)= 2

A: Solution :-

Q: Find the first four partial sums and the nth partial sum of the sequence an 1 2" an =

A:

Q: Find the equation of the osculating plane of the curve = = (a sin u + b cos u, a cos u + b sin u, c…

A:

Q: 4. Find the Laplace transform of the following function. if 0 4. f(t) = t, 4e-t+4,

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: 2. Let M2x2 (R) be the set of all 2 x 2 matrices (with real number entries). That is a b {[%] | a,…

A:

Q: Determine £¹{F}. s²F(s) + SF (s)-12F(s) = £¹{F} = 7 43 72 Click here to view the table of Laplace…

A:

Q: y = =% +1

A:

Q: The feasible region for a system of inequlites is graphed and shaded below. Where does teh objective…

A:

Q: Q10A. Consider the following algorithm: 81 = 3 82 = 8 for k > 2: gk = (k-1) gk-1 - Šk-2 What is term…

A:

Q: APR of 4.8% compounded You are saving to buy a car, and you deposit $210 at the end of each month…

A:

Q: 3y²-x²-9=0

A:

Q: The number of salmon swimming upstream to spawn is approximated by the following function, where x…

A:

Q: 4. Let f:[0,2]→R be given by f(x) = 2x-x². Show that f satisfies the conditions of Rolle's Theorem…

A:

Q: 1. Use Stokes' Theorem to find ¹ dŚ, curl F. ds, where F(x, y, z) = (xz, -yz, xy) S and the surface…

A: