1. Find the surface area of the cone z = Jx2 + y2 that lies between the plane y = x and the cylinder y = x2

Q: Determine the convergence or divergence of the series. (-1)"(n+1) In (n+1) n=1

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Q: Solving a differential equation using the Laplace transform, you obtain Y(s) = L{y} to be 15 18 2s…

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Q: Evaluate triple integral S*dz dx dy.

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4-x from above inside x = y? ,x = 4.

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Q: e table shows speedometer readings at 10-second intervals during a 1-minute period for a car racing…

A: Given, Time(s) Velocity (mi/h) 0 183.7 10 168.8 20 107.4 30 100.6 40 125.3 50 176.9…

Q: +oo Consider the power serles 2 In? +1 22n (2.x – 1)". n=1 1. Use alternating series test to show…

A: We have to find the radius and interval of convergence of power series.

Q: Question 2 There are 101 houses on a street. Each house has an address between 1500 and 1699,…

A: This is a simple problem based on simple logic. Let us give a proper explanation to show that two…

Q: b) If y(t) is the solution satisfying the initial condition y(0) 1, find the value of lim y(t).

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Q: O *SimpleTripjava - Notepad File Edit Format View Help Ln 31, Col 1 100% Unix (LF) UTF-8 1 2 3 em 1.…

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Q: Identify if the following series is convergent or divergent: 3- Vn (a) n=1

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Q: 1 2 -2 76. 1 0 -2 3 01 2 2 -4 10 8 0 1 0 2 0 1.A= 0 1 0 2 2 =B 0 0 0 0 1 -2 2 4 -2 6 0 0 0 0 0 a. Is…

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Q: f (x)--3x - 6х +1, -2,1]

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Q: Question 31 2 1 1 U2 = 1 and W =Span{u1; U2, U3}. For 1 Let Uj = Uz = 1 1. 6. in W ? what value oft…

A: Let W be a vector space and W=span{u1 , u2 , u3} and a vector a is said to be in W if a can be…

Q: G is the surface that is expressed by the vector function below: R (a, b) = (a,b ) E R². | The task…

A: Given is a surface that is expressed by the vector function R(a,b)   To Determine: An equation of…

Q: (a) By reading values from the given graph of f, use four rectangles with heights corresponding to…

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Q: Write a vector equation that is equivalent to the given system of equations. X2 + 4xg =0 4x, + 6x2 -…

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Q: How much must be invested at the beginning of each year at 9%, compounded annually, to pay off a…

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Q: +00 1 Find the sum of the following convergent series: n? – 3n + 2 n=3

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Q: Find area inside autside r= I てニノ

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Q: Consider the system of equations da = x(3 – x – 4y) dt dy = y(1 – 3æ), dt taking (x, y) > 0. Recall…

A: Given are system of equations   (a) To Find: Non-zero Horizontal and Vertical nullclines.   (b) To…

Q: Consider the following two ordered bases of R³: {{2, –1, –1), (–2, 2, 1), (5, –3, –2)}, {(0, 1, 1),…

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Q: Find the Maclaurin series for the function f(x) = X COS X.

A: Given function is fx=xcosx. We have to find the maclurins series of the function fx. The maclurins…

Q: Question 12 -9 The eigenvalues of 1 are and

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Q: Find a power series representation for the function f(x) = iny and determine the radius of conver-…

A: Power series exaption of the rational function

Q: Prove that Everry subset of negigible seti's gigible

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Q: et Determine if the improper integral dx converges or diverges. (1 - e)2 If it converges, find its…

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Q: Question 35 Let B = {b1, b2} and C = {C1, c2} be two bases for a vector space V. You are given that…

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Q: 2

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Q: dT 4 dp 0; pdT T = To when p= Po dp Po e (T-To) O Option 5 L = e- (T-To) Po O Option 2 -0.5 (To-T)…

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Q: dz dy dx

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Q: You are given that B = {1+x, 1 – x², x + 2x?} is a basis far P2 and [p (æ)]g = 3. If p(x) = a + Bx +…

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Q: 3. Construct a bijection f: [0, 1] → (0, 1) UN.

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Q: Which of the following sets are subspaces of R? OA. {(-2, y, z) | y, z arbitrary numbers } O B. {(x,…

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Q: Find area inside out Side r=2c0s6 ra I

A: Given polar equations are r=2cosθ and r=1 Consider first polar equation r=2cosθ Multiply with r on…

Q: PTo pdT 4. Solve dT 4 dp 0; T To when p= Po = e (T-T,) Po e-0.5 (To-T) Po Option 4 O Option 3

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Q: If $90,000 is invested in an annuity that earns 5.9% compounded quarterly, what payments will it…

A: Solution

Q: Given the matrix G = and do =|Then do and dị are G – conjugate if dį is given by 1.5 O A Non of…

A: We know that,  Two vectors u and v in Rn are A-Conjugate for a matrix A of size n×n if  uTAv = 0

Q: If ODE of 2nd order and ye = c1 e²× + c2 e3* ‚Yp = 2 x + 3 e-2x, the suggested y, is:

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Q: 2. Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the matrix.

A: We have to find the characteristics equation eigen values and eigenspaces of given matrix.

Q: SoSEV1+ y³ dydx =?

A: Order of change of integrals

Q: dx (1 – e²)² -1

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Q: Solve: (dy/dx)? + (y – 1 – (x/y)) dy/dx - x/y(y– 1) = 0

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Q: • Determine and draw the graph of the following equation in R3 : - 2² = 1 4 9 Also show the traces

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Q: 3-x Q1) Evaluate the integral * dy dx using polar coordinate

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Q: -3 Are the vectors -3 -8 linearly independent? -4 and linearly dependent If they are linearly…

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Q: 3. State the final value theorem. Verify theorem for the function 4+ e -2t (sin t + cos t)cm…

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Q: Find vahune frome above ZVy-xy, below Z.0(Xy plane) inside xy'el 3.

A: Volume bounded by xy-plane

Q: Find inside r=2sine out side area rI era

A: Area bounded by polar curves

Q: xy j =x+j (ans. j=a² Inc)

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Q: 5. Use the method of Lagrange multipliers to minimize f (x, y) = x2 + y? subject to 2x + 8y 102.…

A: The given question is related with Lagrange multipliers . We have to minimize fx , y = x2 + y2…