Use the indicated change of variables to evaluate the double integral. 4(x2 + y²) dA X = y = (0, 1) (-1, 0), (1, 0) -1 |(0, – 1)

Q: Consider the following IVP: y' +y = e2t ; y(0) = 0   Find the general solution.

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Q: 2 y 本 -4

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Q: 1. Find the Laplace transform of eat and 1 for t is greater than or equal to zero.

A: follow the procedure given below.

Q: The slopes of the lines tangent to the function y = 4x° – 4 T on the interval (-oo, 00) is a…

A: Given ,  The slopes of the lines tangent to the function  y = 4x3 -4√x on the interval (-∞, ∞) is a…

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Q: In a binary integer programming model, which of the following constraints is needed if for the…

A: Solution of the problem as follows

Q: ubegral Fa dx un ntegral as the areg of Q Assuming r>o,compute the tems ing the of r by interpret…

A: The given integrand indicates the circle: x2+y2=r2, with a radius of r units. Limit of the integral…

Q: ntegral. In tegvation method

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Q: If the series 1(-1)" 2 were approximated using its first k terms, what would be the smallest number…

A: We have to find the smallest number of k such that the error bound would guarantee an error of not…

Q: (1-2=) dr

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Q: Determine the equation of the tangent line to the curve f(x) = 2sinx + sin²x at the point (E)

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Q: . Determination of integrating factors: 2y(x+y+2)dx+(y² – x² –4x –1)dy = 0 %3D

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Q: I only need C & D. I've already done a & b

A: c) From the table we get take points: -3, 4.333, -2, 5, -1, 6. We plug them in the exponential…

Q: 2-1)"13_n+6 3n +1

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Q: Given that z=5cos ( 3x + 3ct) + e*+d. Which ONE of the following statements is TRUE? %3D OA. d2z dx2…

A: Here is the solution.

Q: State the condition(s) that: a) two vectors can be equal vectors. b) two vectors can be opposite…

A: To state the conditions for a given vectors.

Q: dt if t = (6r³ +3r² )* and w=| dw =(r² + 2r – 5)* Determine 9r* (2r +1)(3r +1) (r+1)(r² +2r – 5) b.…

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Q: Let a Consicler the matrix 4. A= S23 87.3. Find Mz, C1z and Mzz, Czz

A: Given,A=214523873If A=a11a12a13a21a22a23a31a32a33ThenM12=a21a23a31a33 And C12=(-1)1+2M12 And…

Q: Find the derivative of the following functions and simply it whenever possible. 6. y = ln(ln sec x)

A: The given function is y =lnlnsecx We have to find derivative of the function. We know derivative of…

Q: (26ー1) 不t8

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Q: Solve the initial value problem 8+ 3y = ne, e > 0, y(n) = -5. de

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Q: A line is tangent to y = -4Vx when x = 1. What is the coefficient of x when the line is in the form…

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Q: tind the first three nonzero terms in the Maclaurin Series of Flx) = tan %3D

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Q: Find Duf at P. 2 + 2. 5,3 4 f(x, y, z) = 6x³y°z*; P(1, – 2, 1); u = Duf i

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Q: Let å and b are vectors such that the angle between them (when joined tail to tail) is 0°. Describe…

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Q: 5. S cot³ (40) /csc(40) de

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Q: 2. Let A = (1,0, 2) and B = (6, -2,3). Solve for proj, B.

A: As we know that; The expression for the vector projection B onto A is: projAB=B·AA2A   Given: A=1,…

Q: Consider a car whose position, s, is given by the table t (s) 00.20.4 0.60.8 1 s (ft) 00.5 1.4 3.8…

A: use average velocity formula for finding the value.

Q: d d Calculate ri(t) r2(t)] and ri(t) x r2(t)] first by differentiating dt' dt the product directly…

A: Given problem:-

Q: V1- a² dx a) The integral above corresponds to the sum of the two shaded areas on the right. What is…

A: Let's find.

Q: Find dz/dr if z as a two variables function in r and y is defined implicitly by y3 + x22 + r sin r…

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Q: Which among the following is an even function     x2 + 1     (x + 1)2     x2 + x     (x +…

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Q: Find an equation of the plane through (1,8, 5) that is perpendicular to the line x – 2 = 3t, y + 3 =…

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Q: Find the derivative of the following functions and simply it whenever possible. 1. y = 34x

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Q: Determine whether the statement is true or false. If C denotes a constant of integration, the two…

A: Let's find.

Q: 3. Evaluate the following series: 1 а. с. 4n n=1 11 1+ 2" b. d. 3n n=0 n=1

A: To find the sum of the given infinite series.

Q: 10x Find the directional derivative of f(x,y) = at P(5,0) in the x + y direction of Q(4, –3). NOTE:…

A: Here is the solution:

Q: x²– y² )² Consider the function f (x.y) =| x²+y², Which ONE of the following statements is TRUE? O…

A: We will find limit at (0,0).

Q: Evaluate the definite integral by choosing the appropriate substitution. You must show your work.…

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Q: Lagrange Multipliers Use Lagrange Multipliers to find the maximum and minimum values of f(x, y, z)…

A: Given f(x,y,z)=2x+y-2 ...(i)  subject to the constraint x2+y2+z2=.4....(ii) So the Lagrange function…

Q: Let f(x) 16 Using the definition of derivative at a point, f(9) f(z)- f(9) lim , enter 6. the…

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Q: dz Use the chain rule to find when %3D and s=2 t=1· - ds z=3x+4y, x=s³r?, _y=s²

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: [1.5y – 4Vy 2. y? 3cos y + csc y + In 3· 3|dy csc²,

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Q: The following differential equation is considered. (y cos x+e*)dx +(sin x+ y² )dy = 0 (a) Determine…

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Q: Find the derivative of the following functions by applying “Delta Method". Show your complete…

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Q: Find the Laplace Transform of the following: 1. g(t)=t cos7t

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Q: t3 after takeoff (where s is in meters), If a rocket travels according to the function s = then its…

A: As per our guidelines we can help you in solving only first problem . Rest of the problems, you have…

Q: 1 xy Let f (x,y) =In . Then f (1. – 1)=..... 3x²+4y3 XX

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Q: Check if the following series are convergent or divergent. ∑∞n=1=1/kn, k>1…

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Q: 2dy Зу-4

A: Use the method of substitution and solve the integration.