If z=x+iy where x and y are real, find the real and imaginary parts of:- 1 x² - y² (x² + y²)² X x² + y² i 2xy (x² + y²)² y x² + y² Ox²-1-2iy + y² (x+1)² + y²

Q: B (2x + 3y² +42³) dV, where B = {(x, y, z)|0 ≤ x ≤ 1,0 ≤ y ≤ 2,0 ≤ #≤ 3} 08 192 170

A: dv = dxdydz And put the limit of integration.

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Q: Q4 Mode df Jx X= -0.90623 sin(1-13x)=0 =0.5772 How? ㅗ V3

A: here  -0.90623sin(1 -3x ) =0 sin(1 -3x) = 0 then  1 - 3x = 0

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Q: dy Solve the differential equation = dx = -5x√y. √y = -5x² + Cor y = 0 √y = -5x² + Cor y = 0 2 √y =…

A: Here is the solution:

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A: I have stated the used formulas in the solution.

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A: using lagrange multipliers.

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Q: so (x − 2)(3x − 4)dx

A: Multiply (x-2) and (3x-4)

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A: Use composite function to solve this problem.

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A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

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A: Basic partial derivation is used.

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Q: The particular solution (yp) of the equation y" − 3y' + 2y = 5 e* is yp = -5xex False True

A: Explanation of the answer is as follows

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Q: Exercises: I 2, (3-x²) dx 3 (5+3x-x²) dx

A: The objective of the question is determine the Riemann sum and evaluate the definite integral.

Q: 7. * (se + ex)dx

A: The given integral is xe+ex, limit from 0 to 1.

Q: The recommended minimum credit card payment for a sample of 100 credit card holders is summarized…

A: To find the mean, median, model class and skewness.

Q: 6. S नात √(1-x dx

A: The second fundamental theorem of calculus states that if f is continousmapping in [a,b] and F be…

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A: We have to find rate of improvement as per given question.

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A: Let's solve for taylor series.

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Q: 0 Sec Tanzdx subjektive (All see Tanxdx S see

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Q: 6. If : G H and 8: H K are both homomorphism, so is 0. • : G → K.

A: We can solve as follows

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Q: Solve using matrices.   5x−y−6z=2 9x+y− z=5 9x+y−5z= 7

A: Here we will solve given system of equations,

Q: Evaluate the indefinite integral Select one: O a. 1 (1 - √√x)4 1 O b.. O c. - + C (1 - √√x)² 1 + C +…

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Q: The evaluation of 2xe¹³ dxdy is 3e-1 O e-3 O e-1 O None of them O -3e C

A: Topic = Integration None of them

Q: 12.Find a quadratic polynomial if sum and product of zeros are given (i) 9/20, 1/20 (ii) 2,√3

A: Topic = Quadratic equation

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A: Use derivative and length of curve formula for polar curve.

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A: Concept: The calculation of the angle between two lines in a three-dimensional space is comparable…

Q: .1 The evaluation of 2xe³ dxdy is 3e-1 O e-3 -1 e- None of them O -3e O

A: To find out the double integration.

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Q: <Notes Let R be the region bounded by y=1/x, x=1, and the x axis on [1, infinity] and let S be the…

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Q: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

A: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

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Q: Let a be a real number. Evaluate the following integral: Sofyx+y dady

A: ∫0a∫y-1y+1 x+ydxdy solve this double integration by first apply x integration and after with respect…

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Q: C. (Differential Equations with Homogenous Coefficients) Find the general (or particular) solution…

A: The given differential equations are;  1)(6x2-7y2)dx-14xydy=0 2)(x+ey/x)dx-xey/xdy=0 , y(1)=0.

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A: Take y common from RHS

Q: If 2 [². then is equal to f(x)dx = 5 and Select one: O 15 O-5 O 10 none of the others -10 5 [³ 5 1₂…

A: We can find the correct option as below.

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Q: What is the area bounded by the curves y² = 4x and x² = 4y? A. 5.33 C. 8.22 B. 4.33 D. 9.11

A: There are more than 1 questions, as per the Q&amp;A guidelines i am answering the 1st question. If…

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Q: √ 2*+3* dx 5*

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Q: X 3- Ssin ² x dx ។

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