Sketch the graph of each relation by hand. Include a minimum of five points. a.y=-4(x + 2)² +8 b.y =(x-1)²-3

Q: Q9) The linear form of nonlinear ODE y' - 2y = 2y*, is: b) u' - 6u = -6 a) u' + 6u = -6 d) u' + 6u =…

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Q: how many iteration ar

A: We will make a very simple C++ code to answer this question.

Q: 30 *.The equation (y"+x3y'+y=0)is............ differential equation Non Linear,2nd order, Non…

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Q: Use Taylor's Theorem to find an interval [−z,z][-z,z] where the Maclaurin polynomial p3(x)=x−x^3/6…

A: Taylor's Theorem: Let f has a Taylor polynomial of degree n expansion around x=c, then the remainder…

Q: A consumer has set a budget of $200 for the consumption of good X and Y. The price of Good X is $30,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Q1. Express the sequence: 12 2 x(n) 3 0 As summed and shifted unit steps. n = 0 n = 1 n = 2…

A: Sol

Q: Find the integration of the following functions 2) fx tan(x² + 1)dx COSX 1) -dx 3+8sinx

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Q: = Consider the solid formed by the points outside the hyperboloid z²+y²-2² 8 and inside the cylinder…

A: As per the question we are given a 3d region which is inside the hyperboloid x2+y2-z2=8 and inside…

Q: 7 in. 112' C Give the measure of angle B to the nearest degree. 10 in.

A: We will use the Sine rule. It states that if A,B,C are angles in a triangle and a,b,c are respective…

Q: Write equations of the lines through the given point parallel to and perpendicular to the given…

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Q: What is the unit vector with the same direction as the vector v = 2i - 7j? Write as a linear…

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Q: Answer the following points i. Find the first three nonzero terms of Maclaurin series for the…

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Q: 2y x+1 . Consider the lines l : 5 = 2z - 6 and m: x=-1+10t, y = 7t, z=2+t. 7 1. Determine if & and m…

A: The symmetric equation of l is x+15=y72=z-312 From the symmetric equation of l, we see that a…

Q: +8+20 +8+20 Q14) If the power series method was used to solve the following ODE. 1 (x-0.5)y" x+0.5…

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Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…

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Q: Transportation Model (Optimal Feasible Solution) Minimize: C = 15x₁a + 24xıb + 12xic + 19x1D + 10x2A…

A: The following steps are used to obtain the optimal solution of the given transportation problem.…

Q: Exercise Determine the approximate solution of the following initial value problems using Euler's…

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Q: PROBLEM NO. 7 GIVEN: f(x)=x²-13x+9=0 X-1 = 2.000 Xo = 2.500 USING THE SECANT METHOD, DETERMINE THE %…

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Q: Q1) L-¹ (²-1) = a) cosht -1 Q2) The general solution of y"" + 2y" -y'-2y = 0, is: 2x a) y(x) = c₁e²x…

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Q: IV. Let S be the quadric surface with equation (z-4)² y² 4 3 3x² = 1. 1. Give an equation of the…

A: A quadric surface is a graph in the three dimensional space. There are six different quadric…

Q: A. Given the set of equations below, 17x+6y+4z+5t=17 8x+22y+2z+4t=20 6x+3y+17z+7t=11 3x+4y+7z+19t=22…

A: Converting the given system to Augmented matrix form we get: [1764517822242063177113471922] now we…

Q: Solve the following LP problem using graphical method. Max z = 3x₁ + 4x₂ Subject to 2x₁ + x₂ < 10 x₁…

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Q: PROBLEM NO. 5 GIVEN: 9 3 -6 60] A: b= -2 -4 8 4 USING LU FACTORIZATION (ROW OPERATION), DETERMINE…

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Q: Suppose the control problem is The Hamiltonian function will be given by [² (2y + 3u)dt Subject to…

A: As per the question we are given a optimal control problem. Where we are given the cost function and…

Q: .Q11) The general solution of y"-4y' +9y = 0, is: a) y(t) = c₂e²t cos(5 t) + c₂e²t sin (5 t) c)y(t)…

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Q: (a) Describe the symmetries of the Figure below. Assume that o is the centre of rectangle abcd. a b…

A: We are given a figure including a rectangle abcd and its centre O connected by ao &amp; ob And we…

Q: Q10) The general solution of y+2y"-y-2y = 0, is: a) y(x) =ce²+₂*+* b) y(x) = c₂e-+6₂8 Q11) L(y") =

A: Solution :-

Q: Let H and K be subgroups of a group G. (a) Define HK = {hk | he H, ke K}. Show that if K is normal…

A: We will solve all the three parts. Given that  H and  K are subgroup of G

Q: 3. The functions f, g and h are defined by f:x→x XER 8:x→ √e* - , x=0 h: x→ In(x + 1), x>-1…

A: We shall solve first question only

Q: A food store surveyed 50 of its shoppers as to whether they had purchased bacon or steak during the…

A: Note: Hi! Thank you for the question, As per the honour code, we are allowed to answer three…

Q: A person who doesn't like to be cold in the summertime has seven (7) pairs of flip flops, four (4)…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: Q13) The general solution for y' = 6y²x, is: a) == = 3x² + c b) == x² + c y Q14) The solution of y"…

A: Solution:

Q: Give example T2 space but not T3 Space

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Q: Solve the following equations 2)3x+2 = 27 1) 2Ln(√x + 3) +2Ln(√x-1)=Ln(6x-7)

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Q: Using Laplace transform, solve the following simultaneous equations: y₁+3y1 - y2 u(t-1)et, Yo…

A: We solve given simultaneous equation by using Laplace transform.

Q: he circle graph shows a breakdown of spending for the average household using 365 days worked as a…

A: We find required percentage by using appropriate formula.

Q: Evaluate f(x) = sin(√) from to using 6-segment Simpson's rule. Round off all computed values to…

A: Solution

Q: enough protein and iron to meet at least the DOH recommended daily allowance (RDA) for each…

A: The linear program using the Simplex method as,

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y + 15y = 2 sin(3t), y (0)…

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Q: e costu(t) e-¹ u(t) Option 3 Option 4 *What is inverse Laplace for 1 (s + 1)² + 1 y (s) = te¹ u(t)…

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Q: d) y(x) = ce +C₂e + Cze c) y(x) = c₂e²x + c₂e* Q3) Evaluate £ (e-2t sin4t): 4 s+2 5+2 d) a) s²+85+20…

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Q: a) ²/ b) 0 Q5) fest dt = Q6) If you know that the radius of convergent of the series method for the…

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Q: Six students are trying to identify an unknown chemical compound by heating the substance and…

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Q: b) ta 1 -atsinst Q23) 1 = a) (5-3)2+25/ 5 024) The general solution for y' = 6y²x, is: b) est sin3t…

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Q: Q2: For the following LP model, find values of the first iteration tableau variables using simplex…

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Q: The integration A. 114 Β. π C. 0 D. 1/2 Z|7 sinc(4nt) dt has the value (hint:use the FT)

A: Given integral is ∫−∞∞sinc4πtdt. We have to evaluate the given integral. Here, ft=sinc4πt. Now, for…

Q: a) yp (t c) yp (t) = A cos(2t) + B sin(2t) d) y(t) = A cos(t) + B sin(t) Q21) One of the following…

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Q: (s+2)2+16 2s2+18 (S-2)2+16 2s+18 Q18) Combine the following power series expressions into a single…

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Q: Find a plane containing the point (-4,4,2) and the line of intersection of the planes -3x + 8y + 2z…

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Q: 5.(- Let the surface S be the graph of the function z = g(x, y) = x + y over the unit disk D:+y² ≤1.…

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