Maximize: z=5x+y subject to: x-ys3 5x + 3y ≤ 75 x20, y20

Q: (1) I= z²dz, C: z(t) = t² + it (0 ≤ t ≤ 1) (2) 1 = √ zdz, C:z(t) = t² + it (0 ≤ t ≤ 1)

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Q: 5.Express this model of an electric circuit d²y dy +6 +5y = sin10t, y(0)=0, y'(0)=1 dt² dt As a pair…

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Q: 3. Convert the following Linear Programming problem into Standard LPP form. Minimize P = 5x1 - 10x2…

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Q: (b) Each integer has the property that its square is less than or equal to its cube. i. Original…

A: We use rules of logic.

Q: Problem 3. Find the average value of f(x, y) = (1+x¹)(1-2³) on region R, where R is bounded by the…

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Q: Prove that there are no integer solutions to the equation x² = 4y + 3

A: To prove that there are no integer solutions to the equation…

Q: How would you prove for any integer n, n(n² - n)is proof by counter example proof by cases since n…

A: We need to select the correct way of proving that for any integer n, n(n2-n) is even.

Q: The attached figure shows the surface S₁: z = x², bounded in the first octant by the surface S₂ : 2y…

A: Parametrize the surface

Q: Write the convers If you visit your g

A: In this question, the concept of converse and inverse is applied. The converse of the statement p→q…

Q: Consider the solid Q bounded by the surfaces S₁: 2=4-2², S₂: 2y+z=12, S₁: y = r, S₁: 2=0, S5:2=0…

A: Gauss divergence theorem : It states that, "Let S be the closed surface enclosed by volume V and F…

Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: Construct a truth table for the statement p<(pvq). Complete the truth table. q pvq -p+(pvq) T T T F…

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Q: 1 Evaluate Inverse Matrix A-¹ = -1 -2 1 2 2 1 1 3

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Q: 1 Use polar coordinates to evaluate the area of the region bounded above by the circle x2 + y² - 2y…

A: Given circle is x2+y2−2y=0 and y=12. We have to find the area of the region bounded above by the…

Q: I expect the value of my car to depreciate over the next few years at a constant rate proportional…

A: Let initial value(price) of car =P(t) P(t) is function of time.

Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8-t) [U(t-4) -…

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Q: Q2) Determine the traction vector, considering the following input data: 30 15 12 o 15 24 18 n=…

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Q: The height y (in feet) of a ball thrown by a child is 1 y 2²+ 6x + 5 16 where is the horizontal…

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Q: 10) Consider the oriented curve C, which is the intersection, in the first octant of the surfaces…

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Q: - The multiplication error is lx*y* - xyl ture false O

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Q: Consider curve C which is the intersection of the surfaces shown in the attached figure. x = y² +3…

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Q: 22: Answer 2 branches only 35+6 A. Find the: ¹ s² +35 B. Determine if A-91-6j-24k and B=(-15,10,40)…

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Q: Determine the solution of the differential equation using Laplace and Inverse Laplace Transforms.…

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Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

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Q: 2- find aw dw if w = xy + ду +3/1

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Q: Daniel Bernoulli's work in 1760 had the goal of appraising the effectiveness of a controversial…

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Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

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Q: b) Used bisection method to find the root of f(x)= x³ + 3x-5, Do calculation until six iterations in…

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Q: The particular solution of the differential equation: (x + 2)² d²-(x + 2) dx +y = (b + 1)(b +…

A: Solution :-

Q: A tunnelling machine drills 500 metres. Use your values from the table to estimate the cost of…

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Q: A patient is drinking  0.6 pint of orange juice every two hours. At this rate, how many quarts of…

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Q: (c) Every element in the set {0, 1, 2} is greater than or equal to half of its square. i. Original…

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Q: Convert the following Linear Programming problem into Standard LPP form. Minimize P = 5x1 - 10x2 +…

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Q: Determine if the integral [Inxdx converges or diverges.

A: An integrals will be divergent if the associated limit either doesn’t exist or is plus or minus…

Q: Q: Using De Movier's Theorem find all roots of of (−√3 + i)¹/²

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Q: 2 cos(k) k√k k=1 show that the series above converges. Use any tests or theorems. calculations to…

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Q: Question 3 A motor has 5 speeds varying from X rpm to Y rpm in a Geometric Progression. (a)…

A: according to question, a motor has 5 speeds varying from X rpm to Y rpm in a geometric progression…

Q: Ten international students who include four males and six females are friends. Each of the four male…

A: Given, There are 4 males and 6 females . Each of the four male students wants to invite one of six…

Q: What is the optimal solution for the following problem? Maximize P = 3x + 15y subject to 2x + 4y ≤…

A: The given linear programming problem is                     Maximize P = 3x + 15y subject to 2x + 4y…

Q: Suppose a population grows according to a logistic differential equation model. Its population in…

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Q: 3. Convert the following Linear Programming problem into Standard LPP form. Minimize P = 5x1 - 10x2…

A: Given LPP is: Minimize P = 5x1 - 10x2 + x3Subject to:     x1 - x2 + x3 &lt;= 150   5x1 + x2 + 2x3…

Q: Problem 7. The base of a 50-foot ladder is being pulled away from a wall at a rate of 10 feet per…

A: Let us solve the given problem in the next steps.

Q: In​ 2005, there were 14,000 students at college​ A, with a projected enrollment increase of 500…

A: Given: In​ 2005, there were 14,000 students at college​ A, with a projected enrollment increase of…

Q: Find all positive integers a, b such that a | b^2-b+1 and b | a^2-a+1

A: Solution :-

Q: From the table find f(1) using interpolating of Lagrange polynomial -102 Y=f(x) 2 -1 5 1 O -1 O о о…

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Q: In this problem, we will prove the following statement: For all integers n, if (n + 1)² is an even…

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Q: (This matrix represents contra-clockwise rotation by 45 degrees.)

A: As per the question we are given a 2×2 rotation matrix A and we have to express it in its…

Q: Q4. Check to see if the following integrals converges . 1 00 1 Σ (b) Σ Ξ (c) Σ k=1 (k + 1)(In(k +…

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Q: f(z) = 6z + iz + Re(z) (a) 6-8i (b) -7+ 11/ (c) 5-91

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Q: Use the Squeeze Theorem to show that  lim x→0 x2 cos(16?x) = 0.

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