Use cylindrical coordinates to evaluate SI vz dv where E is the solid E bounded by the cylinder, x+y² =16 ,and the planes_ z=1 and_ z=4

Q: 5. (The residue theorem and residue calculus) Compute the following integrals: (b) sin(e/=) dz ==1…

A: (b) The given integral is                  ∮z=1sine1zdz

Q: Consider the following graph. 2- Let u-(t) = u(t – T) be the unit step function shifted 7 units to…

A: Given,Graph, which can be written in the form  y=f(t)ua(t)+g(t)ub(t)To find: f(t) , a , g(t) , b

Q: 3) y= 3cot 20 3元 5T 3元 7元 2て 元 TC 4 4 4. 4 元2

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Q: 40. 2 2 1

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Q: A function f(x) is continuous at x = c if lim f(x) = f(c). if x + 0 Consider the function f(x) :…

A: The given function is                            fx=xx    if x≠01       if x=0

Q: Setup a double integral that represents the surface area of the part of the plane 4x+y+5z=3 that…

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Q: 3. Solve the initial value problem by the method of Laplace transforms: y" + 225y = 306(t – 7), y(0)…

A: Some of the properties of Laplace transform…

Q: What is the value of the limit below? (edz –1- 6x)(1 – cos(x))(2æ – sin(2x)) lim Lütfen birini…

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Q: 18. Use spherical coordinatcs Evaluate dV,where E is the portion of the unit ball X ty +z²<! that…

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Q: You are given the following information: = 7.6491 Ax+1:9| = 6.59609 Ax+2:5| = 6.00768 i = 0.05 %3D…

A: Given: i=0.05 a¨x:10¯|=7.6491 ax+1:9¯|=6.59609 ax+2:8¯|=6.00768

Q: f(x) = x² + 2*. I need to arrange the equation so that x is on one side and the rest of the equation…

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Q: Evaluate This Integral if curve C consists of curve C₁ which is a parabola y=x² from point (0,0) to…

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Q: Q1. Solve the IVP by finding appropriate integrating factor an (x² + y² – 5)dx – (y + xy)dx = 0,…

A: Consider the given differential equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution…

Q: be a positive number. Express Let p cos(x)dx as a series, if possible. If not possible, explain why.…

A: We have to express the given integral as a series.

Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. @ y = (c,+cx)e¯* + cze -2r + e*(c_,cosr + c zsinx)…

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Q: {4y=+3x+3−15x+py=−2{4y=+3x+3-15x+py=-2 What value of pp makes this system inconsistent? p=p=

A: Given, Equations-    4y=3x+3-15x+py=-2 To find: Value of p for which system becomes inconsistent

Q: 4. Find the shortest path from c to f in graph K3 by constructing a tree diagram. The made tree…

A: Given: Let us determine the shortest path from c to f in the given graph K3 by constructing a tree…

Q: Consider the functions y = sin x and y = cos x . Round your answers to the nearest degree. a.) Find…

A: (a) Let the  a,b,c,d be the first positive solution of sinx=0.60182≈35 So, a is in the first…

Q: Q2. Solve the Bernoulli IVP, 1 x²y/ – 2xy = 3y*, y(1) = 2°

A: Solution of the differential equation

Q: d³x d2x dx -2- =0 dt dr3 dr?

A:

Q: How many rectangles are on a m x n-size "chessboard"? For example, there are nine rectangles on a 2…

A: A rectangle is formed using two horizontal lines and two vertical lines.  The number of ways r items…

Q: ) Let A be a nonsingular matrix, consider the 8 2 2 matrices A- -9- 4 10 2 (a} .- ) Find the…

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Q: (2, 4, 6, 9, 12, 18, 27, 36, 48, 60, 72), R) be a partially ordered set, where the relation R is…

A: We have to find the smaller element.

Q: dy 2ty(y - 1) dt 3(1 + P):

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Q: x²u = x sin y Uyy

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Q: ctivity 1.3.3. A water balloon is tossed vertically in the air from a window. The alloon's height in…

A: We will identify type of graph and then find intersection with axes . Finally will get some points…

Q: Proble Consider the following graphs and determine the degree of each vertex: C (i) (ii) 21. K (iii)…

A: find degree of each vertex

Q: ind the volume

A: Given,

Q: Use Gaussian or Gauss-Jordan elimination to solve the system of equations or to show that no…

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Q: Consider the piecewise function given by 0Sa<号 f (x) = on the interval [0,1] and consider the…

A: We are given the following function on the interval [0, 1].      f(x)=x,   0≤x&lt;120,  12≤x≤1 Now,…

Q: Approximating Euler's e. 1. Let f(z) = e". (a) Use the Maclaurin series for f(x) to give an…

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Q: f(x) =x – x + sin(x) – 1 - 1 Solve this question by the Newton-Raphson method on the topic of…

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Q: Plot the surface z = x+y with a finer mesh (of 0.25 units in each direction),using [x,y] = meshgrid…

A: MATLAB is a computer language that engineers and scientists use to study and build systems and…

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A x = y-(1 + e'-*) B y = x-2(1 + el+x) © y = x-'(1 -…

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Q: LShow that 91 is a pseudoprime to the base 3.

A: The given question is related with pseudoprime. We have to show that 91 is a pseudoprime to the base…

Q: Determine whether each of the following series diverges, converges absolutely. or converges…

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Q: Consider a mini-web as a dynamical system. Let A be the coefficient matrix of this system and be a…

A: In linear algebra, eigenvalues and eigenvectors are linked. In the study of linear transformations,…

Q: If f(Z) = cos (3z2) then the simplify form of f(2) is: A) f(z) = i log(3z² + iv9z+ – 1 B) f(Z) = -i…

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Q: integrating x and xy' - x 12 = ?

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Q: #2. Give a counter exa mple that (Sn) is bounded but not convergent.

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Q: 6. Determine whether the given matrices are inverses of each other by computing their product. 1 3 2…

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Q: eting. The cities are: L, N, and B. Their preferenc tes 7 5 1 LN N HN RI

A: consider the given data as follows Votes 7 5 1 I L N N II N B L III B L B given the…

Q: Simplify the following Boolean Expression using Boolean theorems. F (A, B, C, D) = ABC + ĀD + BD +…

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Q: Find the area inside both curves. r = 2+ sin(20),r =2+ cos (28)

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Q: 4. Consider the following boundary value problem for y(x) on 1(-2, 2]: (*) y" + 6y + dy = 0, y(-2) =…

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Q: During each hour, an exhaust fan removes 15.0% of the carbon dioxide present in the air in a room at…

A: Solution :  Given that  Decreasing rate  r = 15.0% = 15/100 = 0.15  Number of hours  n = 10.0 hours

Q: Write the system in the form Ax = B and use x = A-'B to solve the system for each matrix В. Tị + 2x2…

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Q: Indicate the values of æ and y for which the following equation holds for every integer p > 1 and…

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Q: Using leg endr polynomials Find aquadratic /east - squares approximation tof (x)= cos hu)

A: Given,f(x)=cos h(x)To find: A quadratic least square approximation of f(x).

Q: 5. How many rectangles are on amx n-size "chessboard"? For example, there are nine rectangles on a 2…

A: