Find Domain and R ange ニ

Q: 9. Determine all maximizers and minimizers of the function 1 f(x1, x2, 13) = af + x3 + x subject to…

A: determine all maximizers and minimizers of the function fx1 , x2 , x3=1x12+x22+x32…

Q: Consider the solid bounded by the planes: z=x+y, z =12, x=0, y=0. Determine the volume of the solid.

A: Volume using the triple integral in rectangular coordinates is given by V=∬∫V dzdydx

Q: A man borrowed 24000 from two money lenders. For one loan he paid 15% annum and for the other 18%…

A: Let x be the amound borrowed on 15% and (24000-x) at 18% Given taht total interest paid is Rs 4050

Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

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Q: Q4/ solve the equation by Newton -Raphson Method: F(x) = x* - 5x³ + 65 , start at x =2 , accuracy…

A: Follow the python script.

Q: Use the vectorized Euler method with h = 0.25 to find an approximation for the solution to the given…

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Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of , does the curve has…

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Q: A card is drawn from a well-shuffled deck of cards. Find the probability of drawing a King Your…

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Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 4.

A: Given equation is z2 + y2 + x2 = 4

Q: A chance of 75 out of 100 0.5 0.01 0.1 0.75 0.25 O 1

A: To find: A chance of 75 out of 100

Q: QI) Evaluate the integral dx dy using polar coordinate 4-y?

A: Polar coordinates are r and thetha Let x = r cos thetha y = r sin thetha So x² + y² = r²

Q: 2 -1 0 3 |, find 0 3 2 -1 1 2 If D = and E = DE

A: Matrix multiplication and operations

Q: 2 -1 0 3 0 3 2 -1 If D = and E = find 1 5 6 2 0 7 1 3, G = 1 7 4 0 6 [5 4 3 -7 2 6. , find 2 0 If F…

A: The given matrices having different orders.

Q: 1- x dx y =

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Q: Consider the solid bounded by the planes: z=x+y, z=12, x=0, y%=0. Determine the volume of the solid.…

A: Volume bounded by the region

Q: b) Given f (x)= In x x>0. Use differentiation to find the value of f'(x) at x= 2. Give your answer…

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Q: Use truth table to establish the truth table of following 1)A conditional statement is not logically…

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Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: Find a set of vectors {u, v} in Rª that spans the solution set of the equations { y + 4z 0, - 5w +…

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Q: (2+k)x+54- 10 :0 x + 7y t9:0

A: J

Q: Exercises: 1) Determine the eigenvalues and the corresponding eigenvectors for the following…

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Q: Q: find area inside r=2cose and outsider 1?

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Q: 5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x ,y 4.

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Q: Estimate the error in using the partial sum of 45 terms of the series k7 k=1 Error <

A: As per the guidelines I had solved the only first question.

Q: у (0) %3D —2, у(0) ||

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Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 2 9 Y 8. 4 -1 8 4 6 6…

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Q: Which represents equal sets?. O A EB and BEA O IAI-IBI O All numbers in Set A are in Set B. O MCNand…

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Q: a) Let a complex number z =-5i+3. Find in the standard form x+ yi . IN

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Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: 2. Let f : [a, b] R be a bounded function. Prove that if f is continuous at ro € [a, b), then L(|f])…

A: Here we use the property of continuty.

Q: A card is drawn from a well-shuffled deck of cards. Find the probability of drawing a heart

A: We have to find the probability of heart in deck of cards.

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin ( + 0) in…

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Q: Suppose o, p :Z → G are homomorphisms such that q(1) = 4(1). Prove o = 4.

A: Given that                      φ,ψ : ℤ→G are two homomorphisms such that φ(1)=ψ(1). To solve the…

Q: There are 12 chips numbered from 11 to 22 in a bag. A chip is drawn at random from the bag. Let A be…

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Q: Calculate the general equation for the plane V that passes through the point P (1, 4, 5) and is…

A: Given ,point : P1, 4, 5and plane : 2x+4y + z = 0 We know that equation of the plane parallel to…

Q: If u = x3 + y3 where x = a cos t, y = b sin t, then %3D du dt

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Q: (1+x)-3=1-3x+6x2-10x3........ with ex= 1+x +x2/2 +x3/6............

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Q: A particular specie of animal has a carrying capacity of K and a growth rate of r. From an  initial…

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Q: Q2/ Fit a second – order polynomial to the data in the following table: X 1 4 2 7 Y 2 8 3 4 -1 8

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Q: Question 2! value problem Solve the boundary y" – 16y' + 64y = 0, y(0) = 1, y(1) = 0 %3D %3D

A: The solution is given as

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) + 2y = 3 , y (0) =…

A: Solution

Q: 3+ V9 – 4(3 – i) 21 = 3+ V4i – 3 - 2 2 How do you solve for the equation above ?

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Q: d. Z,Z3 + Z4 e. (Z1 + Z3)/(Z2 - Z4)

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Q: Q1) Evaluate the integral dx dy using polar coordinate

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Q: the line integral + 2x²ydy + dz) .2,

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Q: There are red balls, white balls, and black balls in a bag. A ball is chosen at random and the color…

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Q: Q Use Newton methad to find f(s), f'ca) 9. 8. to 8. 10

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) + 2y = 3 ,y (0) = 0,…

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Q: 23) Evaluate triple integral S dz dy dx. x-y

A: Given integral is ∫02∫x22∫x-yx+ydzdydx