Find the value of the constant a if V(x, y) = 3x + axy satisfies = 0. ay ... a = (Type an integer or a simplified fraction.)

Q: 2. (a) Use the method of Laplace transforms to find the solution y(t) of the initial value problem…

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Q: a. Prepare a forecast of sales for each day, starting with F 1=85 and a= .2. b. Compute the MAD and…

A: From given data we have : Turkeys Sold Monday 80 Tuesday 53 Wednesday 65 Thursday 43 Friday 85…

Q: Find equations of the following. 2(x - 9)2 + (y - 2)2 + (z - 8)2 = 10, (10, 4, 10) %3D (a) the…

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Q: 6) Determine whether FTLI Joye²dx texdy, where 6 is the (-2,-1) a) Yes c) No we cannot use (d) No…

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Q: A parametrization of all the points on the sphere a + y² + z? = 1 that are such that y > 0 is given…

A: Find the parametrization of points on sphere x2+y2+z2=1, where y≥0. The equation x2+y2+z2=12…

Q: Approximate 22 dr with six intervals and the trapezoid rule.

A: The trapezoid rule can be defined as: ∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn), where h=b-aNand N is…

Q: Find the directional derivative of f(r,y, z) = e² cos(Tyz) at (0, 1, ) in 2-1 -y-1= I-2 the…

A: To Find: Directional derivative

Q: Change from rectangular to spherical coordinates. (Let p 2 0, 0sos 2n, and 0 sos n.) (a) (0, 7, -7)…

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Q: ath 2110Q need it. convert the following triple integral from Cartesian coordinates to cylindrical…

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Q: Consider the following data representing the price of laptop computers (in dollars). 1465, 1151,…

A: Please see the answer below.

Q: Problem 3 Use Lagrange multipliers to find the dimensions (in meters) of a rectangle with perimeter…

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Q: - 1. Find the derivative of the following functions. f(x) = (Inx)* a. b. I (x) = x43-2x

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

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Q: Evaluate the triple integral. 10x dV, where E is bounded by the paraboloid x = 5y? + 5z2 and the…

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Q: cIn(2) Major Topic 1. (a) Compute dx er + 3 (b) Compute dr 1+ 76 (c) Find the equation for the…

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Q: 2.) Write the solution set of the given homogenous System in parametric vector form. 2x1 + 2x2 + 4x3…

A: We are given the homogeneous system and we have to solve the given system in parametric from.

Q: 3. Given sin(A) = in Quadrant 1 and cos(B) = -in Quadrant 3, find sin(A + B). Leave your answer in…

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Q: Use Lagrange multipliers to find the dimensions (in meters) of a rectangle with perimeter 200 m…

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Q: Problem 6 This extreme value problem has a solution with both a maximum value and a minimum value.…

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Q: needed to be solved correclty in 15 minutes and get the thumbs up please show neat and clean work…

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Q: 5 students are selected at random from your class of 100 students to attend an event. What is the…

A: 5 Students are selected randomly from 100 students to attend event.  The total number of ways to…

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: First we solve for critical point find the partial derivative with respect to X and y separately and…

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Q: Sales of a new line of athletic footwear are crucial to the success of a company. The company wishes…

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Q: The graph of the function f is shown below. Which statement best describes the value of f'(-1)?…

A: Please see the below picture for detailed solution.

Q: A machine is set to pump cleanser into a process at the rate of 6 gallons per minute. Upon…

A: The  provided information is X~U(5.5,7.5) a=5.5 b=7.5 The variance is…

Q: Question 6 A vector field is given by F(r) = zi+a+yk, and a paraboloid is given by S = {(x, y, z) €…

A: Given, Fr=z i^+x j^+y k^ and S=x,y,z∈ℝ3|z=1-x2-y2, z∈0,1 We need to find ∬S∇×F·n^dS.