2. Find the volume of the solid bounded above by the cone z = √² + y² and below by the circular region x² + y² ≤ 4 in the ry-plane.

Q: Use undetermined coefficients to solve the differential equation y" -y=e*- x + 16.

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Q: (A): Solve the following linear equations by Crame x +y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A: given linear system x+y+2z=12x-y-z=0x+2y-z=4 matrix form 1122-1-112-1xyz=104

Q: Use the Laplace transform to solve the initial-value problem y" - 3y' + 2y = e-4t, y(0) = 1, y'(0) =…

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Q: Activity 3: A spring-mass-damper system has the following equilibrium equation: 4 d²y dy +3 +40y =…

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Q: Solve the following non-homogeneous second order differential equation, by the method of variation…

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Q: Solve the Cauchy-Euler differential equation on the interval (0, ∞). ry" +6x²y" + 4xy' - 4y = 0

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Q: The given graph represents the direction field of the DE Select one: O y = -y² - 2y None of these. O…

A: Given direction field is

Q: Question 5 Find s [c 0.84 3 -i cos 3z -0.48 3i 0.84 3i -0.84 dz along the contour from 1 to .

A: Given integral is ∫Γcos3zidz, We have to evaluate the given integral along the contour from 1 to π.…

Q: Graph the solution set of the system of linear inequalities and indicate whether the solution region…

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Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of: (1) limx-ol-cos x 2 sin²x (2) limx-0 x-³…

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Q: Find the differential equations of the following family of curves whose solution is: 1. A family of…

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Q: Four-legged animals run with two different types of motion: trotting and galloping. An animal that…

A: To fit an exponential curve y=axb, take natural logarithm on both sides of the equation and convert…

Q: Date Price 2013 $3.50s 2014 $3.58 Le 2015 $2.429 2016 $2.143 Price index

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Q: The given graph represents the direction field of the DE Select one: y = -² -2y None of these. Oy =…

A: By looking at the given graph,we can see that at (1,1) the DE has a negative slope. Now we are going…

Q: Find the volume of the given solid over the indicated region of integration. f(x,y)=2x+2y+7;…

A: We find required volume of given region.

Q: ln y to solve the differential equation (xy + 2xy ln² y + y ln y)dx + (2x² In y + x)dy = 0. (b) Use…

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Q: Find the volume V of the solid below the paraboloid z = 4-x² - y² and above the following region. R=…

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Q: Find the determinant of the 3 by 3 matrix below: 4 -2 -2 4 2 -1 1 413 Select one: O a. 8 O b. 60 O…

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Q: Evaluate F dV where F = 3i+z j+2yk and V V is region bounded by planes z = 0, z = 3 2 and surface x²…

A: here we can use that the volume integral over vector form is simply integral in different direction.

Q: 2 - ƒ (t) = sin 0.5t + ²⁄t – 3 8 cos 32t

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Q: Convert the given i-system to an e-system using slack variables. Then construct a table of all basic…

A: We find correct answer by adding slack variable.

Q: Calculate FdV where F =2i+2z j+yk and V is a space bounded by z=0, z = 4 and x² + y² = 9. X 4 Z ФС 3…

A: Here we can use spherical coordinate but we use peoperty of triple and double integration that it…

Q: Q2: Solve the following integrals: ..... (2) ix-cos²x sin³x cos³ T dx; (3) dx (4) fxe dx

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Q: 2. Finite subsets of Rd are closed. Gap to fill in

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Q: X 6 cot-dx 2 ect the correct response: X - 3 In | sin | + C 2 12 In | sin+C X 12 In | sec | + C - 2…

A: We want to find the integral ∫6cotx2dx

Q: 2 NFAS Consider the following NFA N: a 3 a 3 a,b a) What is the 5-tuple which represents this NFA? 2…

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Q: The following graph shows the average American household debt h as a function of the date d. 140 120…

A: (a) We are given that h(d) represents household debt as a percentage of disposable income. So,…

Q: One of the two tables below shows data that can best be modeled by a linear function, and the other…

A: To identify the given functions maybe just need to compare the values using general form of linear…

Q: 2. Give an example of a bounded variation function f: [0, 1] → R. Verify your answer (i.e., prove…

A: Take the function f(x) = x

Q: Let z = exsec y Find d²z dxdy and d²z dydx

A: .

Q: √2-1₁² √4-x²-1,² ITI S y=0x=y=z=√x² + y² arctan() dzdxdy ||

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Q: writ the following numbers in order from least to greatest: 56/6,8 7/8,42/5,8.2,-8 3/5

A: Convert all to decimals

Q: Describe the level curves of the function. z = x² + 5y², c = 0, 1, 2, 3, 4 The level curves are…

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Q: PS1(2) If A, B = Mn(F) and a, BE F, prove that tr (aA + BB) = a tr A + 3 tr B.

A: Prove that if A, B∈MnF and α, β∈F, then trαA+βB=α trA+β trB.

Q: Find the three areas of the region bounded by y= 2x²+10 , y=4x+1 and the lines x=-2 and x=5.

A: We need to find the area between two curves. The area between two curves y=fx, y=gx for x∈a,b is…

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

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Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤y≤16, 0≤z≤ with √√y density…

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Q: b) Hence or otherwise prove that there do not exist three consecutive integer values of n for which…

A: We need to show that , there does not exists three consecutive integer values of n for which 29n+5…

Q: statement, justify why statement is false. Restating the statement is not an acceptable justi You…

A: given statements 7. Modus tolens is a law of replacement. 8. S={the collection of all mammals with…

Q: Linear combination Let u = (1, 2, 1), v = (1,−1,−1), w = (1, 1,-1), and z = (2,−3,−4). Find scalars…

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Q: Q5: Find for the following functions: (4) y = x sinh 2x-cosh 2x (2) y = tan³√cot(7x) ; (3) y = sin²…

A: Sol:- (2) ddxtan3cot7x Apply the chain rule =3tancot7x2ddxtancot7x

Q: Consider a cylindrical sample of rubber, fixed at one end. It may be characterised by four state…

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Q: Using laplace transform, solve the following differential equation. ( u is the unit step function)

A: Introduction: Laplace transformation is a very efficient tool to solve an initial value problem.…

Q: 5. Let M:= {ECR: E is countable or E is countable} and define μ: M→ [0, ∞] by μ(E) := Show that is a…

A: Given M:=E⊆ℝ: E is countable or Ec is countable and μ:M→0,∞ defined by  μE:=0if E is countable1if Ec…

Q: 4.5 -0.5 5 Select one: O y = -² -2y None of these. O y = y² - 2y O y = y² + 2y Oy - 2y = -y² -3 -2.5…

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Q: (B): If A = 2i + 3j - 4k; R = 3-4j+5k and C=i+j-k, find: (UU)Ã. (B+C)and (A + B). (iv) (3A+48).C…

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Q: 1.1-B Preal-Ho 2. O 3. μι-μη

A: As per the company rule, we are supposed to solve three sub-parts of a multi-parts problem.…

Q: 1- 4x²y" + (4x² + 1) y = 0 a. Show that the equation has a regular singular point at x = 0. b.…

A: Solution a: Given differential equation is 4x2y''+(4x2+1)y=0                        (1) Comparing…

Q: 2. What is the radius of the circle defined by x + y 6x + 4y - 10

A: We will do this question by first, by completing the square of the equation, find the radius of the…

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A: To find: The given statement is true or false. Please post the multiple questions separately. Here I…