Build a computation graph for Z = 2 (X *Y) – Max (S, 0) and calculate forward/backward pass. when X = 3, Y= 2, S = -1

Q: Find C1, C2, and C3 so that the given functions will satisfy the prescribed initial conditions.

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Q: 7x – 4xy = C

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Q: the moment-generating function of X is M(t)= et, then the moment-generating function of Y=1+. 3

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Q: Find two positive numbers x and y such that x+y=60 and xy^3 is maximum.

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Q: x*y"-xy'+y = 0 Y, = In x

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Q: ! Find the max/min point for z = f(x, y) =-5x² -10y² + 20x+ 20y.

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Q: Generalize What do you notice about the corresponding coordinates of the preimage and mage after a…

A: Topic = Geometry

Q: Find the values of x,y and z using Gauss Jordan method.

A: We have given a system of equations ,  3x + 4y + z = 102x - 3y + 5z + 9 = 0x + 2y - z = 6 This…

Q: Which is the linear differantial equation into which the Bernolli differantial equation transforms

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Q: Suppose the clean water of a stream flows into Lake Alpha, then into Lake Beta, and then further…

A: Note: - According to our guideline i didn't solved more than three subparts . So please again repost…

Q: 3t If the moment-generating function of X is M(t) = e, then the moment-generating function of Y=1+-X…

A: The provided information is: The moment generating function of X is given blown:

Q: Show that B is a linear function of Y,, Y2. Yn Show that B is conditionally unbiased.

A: The regression model is  Yi = βXi + ui We have to show that β is conditionally unbiased.

Q: Use the order reduction method to solve the following initial value

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: x*y"-xy'+y = 0 c) Y, = In x

A: Let's find.

Q: Find all critical points on the curve r – 9x + 1. For each critical point, determine whether it is a…

A: (6) Given curve is fx=x3-9x+1. To find critical points, we need to find first derivative and then…

Q: The line tangent to y = ƒ1x2 at x = 3 is y = 4x - 10 and the line tangent to y = g1x2 at x = 5 is y…

A: The line tangent to y=fx at x=3 is y=4x-10 and the line tangent to y=gx at x=5 is y=6x-27. Consider,…

Q: 2. Find the equation of the linear function z = c+mx+ny whose graph contains the points (0,0, 0),…

A: We solve only one problem at a time so please submit them one by one for fast and thorough answers.

Q: Find the linearization of y = eV3x at x = 64. %3D (Use symbolic notation and fractions where…

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Q: Find 3 numbers x, y, and z such that their sum is 32 and P=xy^2z is a maximum.

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Q: A ball is thrown upwards then falls back down to the ground. If h(t) represents the height of the…

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Q: Graph it excel     y = mx + b In T(s) In (Lm) 0.4472136 0.2 0.54772256 0.3   0.63245553…

A: Open excel,save the file Type the given data in tabular form Select Insert Tab, select insert line…

Q: The moment generating function of X is defined by M(t)=E(etx) صواب İhi

A: True.

Q: Let the demand and supply be dP (a, ß, y, 8 > 0) Qa = a – BP –Y Assuming that the market is cleared…

A: Please consider the handwritten solution.

Q: Find y(0.5) for y'=-2x-y, y(0) = -1, with step length (h= 0.1) using Runge-Kutta.

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Find the orthogonal trajectories of the family of circles passing through the points (1, −2) and (1,…

A: Given that

Q: Find the orthogonal trajectories of the given family of curves. y = (1+C1 x)/(1-C1 x)

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Q: (6) Find the orthogonal trajectories for the given families of curves 2x2 – 7y = c.

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Q: Find the Linearization L(x) of y= (3+ x)-1/2 at a = 1. L(x) =

A: To find the Linearization.

Q: Solve using the bisection method f(x) = e-x* – 2x + 1 starting at the interval [0.75,1]

A: Consider the provided question, We have to solve the given function by using the bisection method,

Q: The fuel-cost functions for the three thermal plants is $/h are given by C, = 400 + 5. 5P, + 0.006P…

A: The given constraint: 50≤P1≤15050≤P2≤20050≤P3≤300 Where P1, P2, P3 are the loads of the generator…

Q: (a) find the local linearization of f(x)=fourth root(x) at x=16 (b) Use the linearization to…

A: It is a linear approximation problem

Q: : Find y(0.5) for y'=-2x-y, y(0) = -1, with step length (h= 0.1) using Runge-Kutta.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: find the values of C1 and C2 so that the given functions will satisfy the prescribed initial…

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Q: 1. y = V(x2 + 2) – x (x² +2) - х

A: Topic = Derivatives As per guidelines, At a time only one question can be answered out of different…

Q: Find the linearization of the function at x = 1. * f (x) = 2x³ - 3x + 7 O y = 6 + 1(x - 3) O y = 6 +…

A: Given, fx=2x3-3x+7

Q: Use the Path Length formula to find the path length of the function over the given interval. Path…

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Q: Find the linearization of y = ev7x at x = 16. (Use symbolic notation and fractions where needed.)

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Q: Use the gradient descent method in the equation f=2(x_1)^2 + (x_2)^2 with the starting point (1,2)…

A: Given : equation                fx1, x2=2x12+x22 with starting point 1, 2 Use gradient descent in…

Q: Perform one iteration of the steepest ascent method to locate the maximum of f(x, y) = 4x + 2y +x² –…

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Q: Consider the minimization of the function f(x1,x2)=4x21+3x22−5x1x2−8x1 with starting point X0=[00]…

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Q: 2. If the Wronskian of y1 and y2 is e2" (x² + 5) and y1 = e2", find y2. %3D

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Q: 8. Use the Chain Rule to find az/as and az/at. z = (y-2x)³, x = s³t², y=s+t²

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Q: 4) Find the orthogonal trajectories of the family of the curves x² = 2y – 1+ ce¬2v.

A: Given information : Family of curves :  x2 = 2y -1 +ce-2y

Q: 1. Find the optium path for f=xy³ from (2,1,2)

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Q: 6) Find the orthogonal trajectories for the given families of curve 3x - y = c.

A: To find orthogonal trajectory first differentiate with respect to x then remove constant then put…

Q: Compare the graphs of y = Vx, y = Vx, y = x, y = x², and y = x' on the interval 0 < x s 2. Write a…

A: Differentiate the expression of the slope with respect to x. For any value of x in the interval…

Q: find the orthogonal trajectories of the family ofcurves. Sketch several members of each family. kx2…

A: The given family of curves is kx2+y2=1. Differentiate both sides of the above equation with respect…

Q: Find all the local max/min and saddle points for the function f(x, y) = a + y³+3x2 - 3y? – 8

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Q: y = In[(2x – 1)(x + 3)] with Respect to x by using the chain rule.

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