Q1 The equation y = 2x describes a line in the plane. Which of the following mathematical expressions describes the same line? 1- Span{ } 2- Span{ [2]) O Answer 1 and Answer 2 are both correct. O

Q: Q2) Choose the correct answer 1) The PERT method to solve? a) Game theory b) transportation model 2)…

A: 1) network analysis 2) maxmin=minmax 3) Lf

Q: Using the Method of Undetermined Coefficients, determine the form of a particular solution for the…

A: The solution of a nonhomogeneous differential equation is obtained using the method of undetermined…

Q: Convert 100 dollars to "widgets" (1 dollar = 3.94 widgets ) 39.4 O 3940 394

A: 1 dollar = 3.94 widgets

Q: The graph of f-1 is given below. Graph the tangent line to f-1 at the point P(-4, 1) for f(x) = -2x²…

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Q: If A ∈ R^n×n is invertible, then columns of A^−1 are linearly independent. Explain why.

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

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Q: Solve the initial value problem ut +2ux = −tu(x,t), t>0, x ¤ R u(2,0) =sinx.

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Q: 2. A Municipal Health Officer (MHO) who actively supports the CDD Programme of the government…

A: CI=point estimate ± ME

Q: 11. Find the value of m, such that D1, D2, D3 meet each other at one point. D1: x - y = 1 D2: 2x + y…

A: Given system of equations D1 : x-y =1D2 : 2x+y =5D3 : 2m-5x-my =3

Q: Q1: Locate the zeros of the following functions and determine their order. 1) z4 + 10z² +9.; 2) z³…

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Q: Differential Equation a³r d²₂ 1) +3 3 = 0 7 2) (D³ + 3D² - 4D 12) y = 0 3) 2D +11D³ + 18D2 + 4D 8 =…

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Q: D. Determine the number of incongruent solutions of each linear congruence. 6.37x = 1 (mod 249) 7.…

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Q: GIVEN: f(x)=x³-13x+9=0 X-1 = 3.000 Xo = 3.500 USING THE SECANT METHOD, DETERMINE THE % ERROR AFTER…

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Q: For the vector field F(x,y,z)=ya'1+x1+2xyz k a) show that F is conservative vector field; b) find a…

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Q: Use induction to prove that for all integers n > 1. n i=1 1 = η n+1

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Q: Calculate the centroid of the thin plate R which bounded by z = 1, y = 0 and, z² + y² = 4.

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: 2. Calculate the centroid of the thin plate R which bounded by r= 1, y = 0 and, a² + y² = 4. ccc

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Q: Evaluate the double integrals by iteration. whre B is the region 0 ≤ ≤ 1, ² ≤ys= A

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Q: The paraboloid z = 8-x-x²-3y2 intersects the plane x = 2 in a parabola. Find parametric equations in…

A: The equation of the paraboloid is given as z=8-x-x2-3y2. The paraboloid intersects the plane x=2 in…

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for -5≤x≤5 f(x) =…

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Q: Q2) Choose the correct answer 1) The PERT method to solve? a) Game theory b) transportation model 2)…

A: 1) network analysis 2) maxmin=minmax 3) Lf 4) Vogels approximation method 5) tp

Q: 3. Evaluate III. 622 dV where G is bounded by r + 2y + 4z = 8 in the first octant.

A: We need to evaluate the triple integration over the volume between x+2y+4z=8 and first octant,…

Q: 1. Let & be the relation of (a,b) la #b] on the set of integers. What is the reflexive closure of R?

A: As per our company guideline we are supposed to answer only one question with its 3 subparts. Here…

Q: Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b) [9, -3, -5] c) 5ï -…

A: c Given vector is  a→=5i→-7j→+2k→

Q: E. Using congruence's, solve each Linear Diophantine Equation 4.1776x + 1976y= 4152 5. 6x +9y = 15…

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Q: . Calculate the centroid of the thin plate R which bounded by r= 1, y = 0 and, ² + y² = 4.

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Q: Solve the system of differential equations. x1 = 3x₁1x2 (x₂² = 1x₁ + 5x2 18 x₁ (0) = 10, x₂(0) x₁…

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Q: 3. Evaluate 62² dV where G is bounded by a + 2y + 4z = 8 in the first octant.

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Q: Calculate the centroid of the thin plate R which bounded by r= 1, y = 0 and, ² + y² = 4.

A: We have to find the centroid of the thin plate.

Q: 2. Consider the nonhomogeneous equation = a(t)y+b(t) and its associated homogeneous equation a(t)y.…

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Q: For the relation, indicate whether the relation is: • Reflexive, anti-reflexive, or neither •…

A: A relation R defined on a set S is said to be Reflexive if xRx for all x in S.  Anti reflexive  if…

Q: f(x)=x²-13x +9=0 X-1 = 3.000 Xo = 3.500 USING THE SECANT METHOD, DETERMINE THE % ERROR AFTER THE 2ND…

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Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

A: If a function f is said to be analytic or holomorphic at a point a€C if it is differentiable at…

Q: C. Determine whether each linear congruence is solvable. 1. 12x=18 (mod 16) 2. 15y =18 (mod 12)…

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

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Q: Consider the function f(x) = x³ + 2x + 5. Estimate the root to eight significant digits using Newton…

A: The general form of an equation of degree 3 is given by ax3+bx2+cx+d=0, where a≠0. In this problem,…

Q: Solve the system as matrix equations using inverses -2x1 + 6x2 = 6 3x1 +2x2 = 13

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Q: y"-2xy=0 solve it by power series

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Q: Solve the given initial value problem. y" + 6y' +34y=0, y(0)=2, y'(0) = -5 y(t) =

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Q: ZD = 0.73 USD ( kiwifruit in US do

A: Given as, 1 kg = 2.20462 lb 1 NZD = 0.73 USD

Q: c. x²y″ − 3xy' +4y=0, _y(1)=5, y′(1)=3. - - d. x²y" — 5xy' + 8y =8x6, y(½)=0, y′(½¹⁄) = 0.

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Q: Consider the simplex tableau given below. X₁ 1 X2 51 $2 P 1 3 1 0 0 2 3 0 1 0 32 -10 -5 0 0 1 0 (A)…

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Q: Q6 Find Laplace transforms of the following functions: if 0<t<2 (a) f(t)= cos 3t 4 if 2 <t You may…

A: cos(3t)= cos(3t-6+6) Hence, cos(3t)=cos( 3(t-2)+6)

Q: y" + 3y² - 2 = e².sint (Variation of parameters)

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Q: QUESTION 22 You roll two dice and record the sum shown. The sample space is the set of all possible…

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Q: Find a general solution to the differential equation y" - y = -3t+1 The general solution is y(t) =…

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Q: B. Find the general solution of each Linear Diophantine Equation. 3.28x + 91y = 119 1. 12x+16y=20…

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Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

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Q: 83. Find the regions where sinx ≤x. ( E

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