Q5: a) Show that the vector field F = (x² - y² + x)i - (2xy + y)j, is irrational.

Q: Evaluate .f²fy dydx 175 3 175

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Q: Use the Karush-Kuhn-Tucker method for the below optimisation problem and discuss any conclusions…

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Q: 3.60. Using the unilateral Laplace transform, solve the following integral equations: (a) y(t)=1+af…

A: As per our guideline, we are supposed to solve only first subpart. Kindly repost other question as…

Q: Q1A) The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.

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Q: indly show illustration and solution. A rectangle is inscribed in a right tria

A: Given that a rectangle is inscribed in a right triangle, 5 by 12 by 13 units. And a closed box with…

Q: 2. Solve the outgoing signal problem Utt-c²uxx=0, x > 0, -∞0 <t<∞0; ux (0,t) = s(t), -∞0 <t< 00,…

A: From the above details we have,

Q: 1. 0+3×3-3² + 10

A: Explanation of the answer is as follows

Q: 2. Using logical equivalence, prove that (p^g)=(q⇒p) is a tautology. In other words, show that (pg)…

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Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.

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Q: Homework: Ho A strain of bacteria is placed into a petri dish at 30°C and allowed to grow. The…

A: Given: The data, Time(hours), x Population, y 0 0.16 2.5 0.31 3.5 0.44 4.5 0.58 6 0.82…

Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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Q: 5 -2 [x1] Given A=-2 6 2 and X=X₂ [x3] 2 7 show that XTAX = 27, suggest that 5X + 6X2+7X3-4X₁X₂ +…

A: Given A = 5-20-262027  and  X = x1x2x3

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

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Q: 8) Evaluate the integral: f[(2 t² −5)i +cos j+(2+4)3 k]dt

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Q: Q2A)Matrix 4 = [],find Eigen values of 1² A dy B)Solve differential equation=-(x²+y) dx x+siny

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Q: -4 4 Consider the system Ax = b where A = A 16 -16 basis for the null space of A is given by {]}…

A: Here given 'X' is not a particular solution because this 'X' does not satisfy the equation.

Q: dx (2x-3)√5-12x+4x²

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Q: Zez analytical function or not?

A: We check whether w=zez is analytic function or not.

Q: . Working with your equation in standard form, verify the coordinates of the x-intercepts by using…

A: To find: x-intercepts of y=x2-2x-8 using the quadratic formula.

Q: Use the disk method to find the volume of the solid generated by revolving the region bounded by the…

A: Disc method:  Consider a solid which is obtained by revolving the region under graph of a function…

Q: 1. Let G(x, y) denote that x gets y; W (x, y) denote that x wants y, and P(x) denote that is a…

A: Given- Let Gx, y denote that x gets y, Wx, y denote that x wants y, and Px denote that x is a…

Q: d) the transpose of x. 2- If x= [2 8 5; 9 7 1], b=[2 4 5] find: a) find the maximum and minimum of…

A: Given:x=285971 and b=245To find:a) The maximum and minimum of x.b) add the vector b as a third row…

Q: 4. Prove that (a + b) ≤a+b≤ a + b for any real numbers a and b. (Hint: Use cases when a, b ≥ 0; a, b…

A: 4. To show: -a+b≤a+b≤a+b Please post the multiple question separately.Here i answered 1st question…

Q: Find the general solutions of the system. - 14 -9 0 x' = 1-8 0x 1 x(t) =

A: Please see the attachment

Q: Use the graph below to answer the following questions. f(c) 14 12 10 8 6- 4 2- -6 -4 -2- C 6

A: In this question, the concept of root and multiplicity is applied. The root is found when fx=0.

Q: Q2 Using the fixed point iteration method solve the equation 2x³-2x-5=0 in [1,2] with € 0.00002.

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Q: Q2A)Matrix A = [13 4 21 ,find Eigen values of A². dy (²+y) B)Solve differential equation dx x+siny

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Q: struction site, there are 4 excavators. Each one must be allocated to exactly one job. The time

A: The given data is as follows   Job1  Job 2 Job 3 Job 4 1 4 2 5 7 2 8 3 10 8 3 12 5 4 5 4…

Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: Question 7( Determine the most suitable form of M) that should be used when solving each 24…

A: To Determine: Most suitable form of y(t) for solving the equation: (a) y''+9y=sin(2t)+t2cos(3t)+3.…

Q: Problem 5. Using the definitions for O and N, prove formally that a) n³+15n+2 is O(nª) b) 2n³ +25n…

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Q: Find the general solution to the following Cauchy-Euler differential equation 2 x²y" + xy + 4y = 2x…

A: To Solve: The differential equation x2y''+xy'+4y=2xlnx.

Q: recheck this problem

A: Yes , the solution is correct.

Q: The following diagram shows the parallelogram ABCD. B A D Let AB =p and AC=q. Find each of the…

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Q: let a=2+7i b=4-2i Choose the correct result of a/b*

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Q: Pulling either a diamond or a spade from a deck of cards Change of rolling a 5 on a ten-sided die…

A: Probability of pulling a diamond or a spade from a deck of card= probability of pulling a diamond +…

Q: 2. Given a line that passes through the point (-2,1,3) and is parallel to the line joining A(1,5,3)…

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Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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Q: An object is moving along a horizontal line such that it's velocity is V(t) : = What is the object's…

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Q: Suppose x represents the number of tons produced daily of interior paints and y represents the…

A: Here we firstly take the total quantity of M1 then try to find the equation.

Q: - Group 2. Santillan, Marken M. Gonzales, Kent Tibon, Clarence Variable Separable Set-A: Module 2 =…

A: Group 2. - Santillon, Marken M. - Gonzales, Kent -Tibon, Clarence…

Q: Concept Check: Evaluate the following integrals: 1. f(x¹ - 5x³ + 6) dx 2. Sv (1-1/v²) dv 3.…

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Q: The Taylor series of the function f(x) = cosx at x=0 is (1) ²n (-1)"x²n 2n=0 (2n)! En-0 n=0 (2n)! Σ…

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Q: Ex.2. Prove that the complete integral of the equation (xp + yq - 2)² = 1 +p² +q² is (ax + by + cz)…

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Q: 5. Suppose that the inverse demand and inverse supply functions are PD = 10-.2x and ps = 4 + .2√x,…

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Q: A) Find area bounded by y = 0, y = √x - x² using double integration. V

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Q: solve partial differential equation r-4s+4t=0

A: Given PDE is r-4s+4t = 0

Q: 2. Evaluate the iterated integrals by (i) viewing R as a type I region, and/or (ii) viewing R as a…

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Q: Q1A) The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

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Q: (A) Find the integration factor of the non exact differential equation ev (x² + +1]dx + ( +2y dy=0…

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