1)y is orth t the point

Q: 12. x'y dA, where R is bounded by y = Vx and y = x.

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Q: OTfRTRisJifferentible onŢ and gey-y"for nENand yeR whatis (Jof)? OP T RiscifferentibleanI and fras t...

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Q: Calculate the work done by the force field F (x, y, z) = (x + y) i + (y - z) j + z² k to move a part...

A: The given question is related with work done. We have to calculate the work done by the force field ...

Q: Which of the following is the general solution to the differential equation 4xy = -x² – y? dx for x ...

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Q: 7.2 m 5m 4 m 6 m 3 m

A: We know are of triangle A=(1/2)(base)(height)

Q: 1. Find the general solution of the given differential equation using MUC: y() – 4y(3) – 21y(2) + 10...

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Q: Find zı*z2 and zı/z2. Write your answers in rectangular form (a + ib). 3, = 2(c0s + i in + i sin 8 +...

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Q: Fill in the blank with an appropriate word, phrase, or symbol. The voting method in which each candi...

A: The voting method in which each candidate is compared with each of the other candidates is called .

Q: 2. j - ÿ + 4ÿ – 4y(t) = t; y(0) = ÿ(0) = 0, y(0) = 1 %3D

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Q: . y = (x + 1 )3 and y = 0 from x = - 2 to x =1.

A: To determine the area under the bounded curve is obtained by using double integration  The area betw...

Q: Find the general solution of the following equation valid near the origin: (1+4x2)y''-8y=0

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Q: Find the Wronskian of two solutions of the differential equation t²y" – t(t – 2)y' + (t – 5)y = 0 wi...

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Q: A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write f(...

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Q: 8. (logn) 1 find k, if it exists, sothat this converges n=2

A: We have , ∑n = 2∞1log nk We know that , Cauchy Condensation test ,  Let , ∑n = 1∞un  be a positive m...

Q: Apply Newton's method to the equation f(x) = x² –2 = 0 to estimate the root a* = /2. Starting with a...

A: It is given that the function fx=x2-2. We have to find the approximation of the root x0=2 using the ...

Q: 3. Find the solution of the given initial value problem using MVP: 4y(2) – 8y(1) – 5y = x*e2* – 8x y...

A: We have to find the particular solution of the differential equation 4y''-8y'-5y=x3e2x-8x with the i...

Q: nd the flux of the vector v=⟨x,y,z⟩ along the surface of the right tetrahedron below.

A: Flux of the vector

Q: By eliminating the arbitrary constants of y = Cqx + C2x² through isolation, then which of the follow...

A: Differential equation obtained by eliminating constants

Q: 3. Let a, b, c, d be real numbers with a < b and c < d. Find a one-to-one correspondence between (a,...

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Q: Determine whether or not the vector ficld F (r, y, z) = (2ry22, 3ry2, 2ryz) is conservative. If it i...

A: The general form of a vector-valued function in three dimensions is given by F=F1,F2,F3, where F1, F...

Q: b) find the solution to the system. yi = y1 - y2 + y3 y2 = 5y2 y3 = -2yı + Y2 – Y3

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Q: Consider the functions f and g, defined on R. Use set notation to represent the domain of h(x) : S(x...

A: The given problem is related to function and its domain. We need to understand the concept of domain...

Q: 2. Determine if the following series are convergent or divergent. ( a) Σ n(ln1) 1 (Use the Integral ...

A: The given series converges.

Q: Laplace transform of (1 – e-Tt)2 is 2 2 1 s +7 2 s + 14 1 1 s+7 s+ 14 2 + s+7 3 1 1 14 1 1 s+7 s + 1...

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Q: 2. Find the maximum and minimum of the function f(x,y) : 1 subject to the x² +2y² constraint x* + 2x...

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Q: State why it is difficult/impossible to integrate the iterated integral in the given order of integr...

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Q: Solve. Express your answer using interval notation. Illustrate your solution on a number line. 5x +1...

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Q: Use sigma notation to write the Taylor series about x = 9 for the function. 1 x + 5 Σ k

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Q: ds At time t, the velocity of a moving body is given by at where "a" is a dt constant and s is the b...

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Q: 1. Let V be a vector space. Let v be a vector in V and c a scalar. Proof the following statements. I...

A: (a) For each vector v, the negative vector -v is defined as            v + (-v) = (-v) + v = 0. [Zer...

Q: 1. Find the general solution of the given differential equation using MUC: y(4) – 4y(3) – 21y(2) + 1...

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Q: 1. Find the general solution of the given differential equation using MUC: y(4) - 4y(3) – 21y(2) + 1...

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Q: B: Find the area of the shaded region show y y =1+x X=-1- y=-1 Fig(1)

A: According to the given below figure:  area of the shaded region is  ∫y=-11∫x=-1y2dxdy+∫y=12∫x=-1y-1...

Q: What is the partial differential equation of the  z=xyf((x+y)/2)  surface family including p=zx ,...

A: Given: z=xyfx+y2   

Q: If F = (2x + y')i + (3y - 4x)j evaluate e F.dr around a triangle ABC in the xy-plane with A(0, 0), B...

A: Given  F→=2x+y2i+3y-4xj  we have to evaluate ∮F→.dr→ around  a triangle ABC in the xy-plane with A(0...

Q: i got sqrt(2)pi but it's incorrect need help finding y'(0) on part D.

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Q: b) Given h(x) = 3x² + 2x and f(x) =- Vx – 2, find (h • f) (x + 2)

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Q: Q1) find the Laplace transforms of the periodic function defined by f(t) =t/2 0<t<3 f(t+3)=f(t) all ...

A: Introduction: A periodic function is a function which assumes same value after a certain interval. F...

Q: Find the interval of En=0 2" (z – 3)" O (2.5, 3.5) O (2, 3) ( (3.5, 0) O(2.5, 0)

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Q: Use the Newton-Raphson method to determine the real root of: f (x) = -1 + 5.5x - 4x + 0.5x using x, ...

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Q: 5. Suppose A, B are countably infinite sets, meaning that there exists one-to-one corre- spondences ...

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Q: Find the solution of the given initial value problem using Method of Variation Parameters: y'' + y ...

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Q: z = 6x1 - 5x2 + 2x3 2x, - X2 + 8X3 s 46 4x1 - 5x2 + 6x3s76 2x1 - 2x2 + 6x3 s 26 X1 20, x2 2 0, x3 2 ...

A: Given: max z=6x1-5x2+2x3subject to 2x1-x2+8x3≤464x1-5x2+6x3≤762x1-2x2+6x3≤26x1,x2,x3≥0

Q: 6. A population of fish is living in an environment with limited resources. This environment can onl...

A: Given: Differential equation modelling population of fish, dPdt=kP1-PM1-mP, where M should be the ma...

Q: (c) given one solution of (1), y1 = e-2t and you want to produce a second unkno solution y2 by using...

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Q: determine the laplace transform of the functions 1.  24x^6

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to...

Q: If a set E has an infimum, then it has only one infimum. Proof: Suppose that E has two infima, call ...

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Q: 2. Show that the set of all diagonal matrices of order 2 x 2 is a subspace of M2x2. That [ ] a is, s...

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Q: Find the Maclaurin polynomials of orders n = 0, 3, and 4 and then %3D find the nth Maclaurin polynom...

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Q: 1. Find the general solution of the given differential equation using MUC: + 104y(1) – 80y = x² e2x ...

A: We can solve this using given information