Use a graphing utility with vector capabilities to find u x v. u = (1, 4, -1), v = (4, 1, 4) Show that u × v is orthogonal to both u and v. (u xv) • u = (u x v) • v =

Q: The marginal cost of producing the xth box of DVDs is 13 + X² 140,000 and the fixed cost is…

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Q: Solve the following initial value problem. -4 1 3 - -6 3 3 -8 2 6 X X, x(0) = 5 3

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A: the taxable income= $15850000 tax rate = 21% the tax liability is, Tar liability= 21% of $15850000…

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Q: Discretize the differential equation y" +8ty' +3y=2t, y(−1)= 1, y(0) = −1 with step-size = 1

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Q: please show with example    The domain for each relation described below is the set of all…

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A: According to  Q&A guidelines , I can answer only one question which is given first .

Q: Illustration 6.48 If the normal at P(2, 3√3/2) meets the major axis of ellipse+= 1 at Q, and S and…

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Q: (§3.3e Exercise 4) If z = f(x, y) and § = y(x, y), n = y(x, y), show that det (32) det (3) and…

A: Jacobi's formula is a set of formulas used in multivariable calculus to calculate partial…

Q: If y₁ solves y" + p(x)y' + q(x)y = 0 and y2 solves y" + p(x)y' + q(r)y = g(x) where g(x) is not…

A: Here first question is as follows

Q: Question 1. In this question we consider what happens to the length of a curve when we deform it…

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Q: 9. Matrices can be used to send encrypted messages. Say you have a message matrix M and an…

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Q: If In (x² - 15y) = x -y +5 and y(-4)= 1, find y'(-4) by implicit differentiation. 3'(-4)= An…

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Q: (2) Describe the region whose area is given by the integral π/2 sin(20) // r drdo.

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Q: Problem 1: Series Method Act Resource Dur TF LS 2M 1H 101 2M 1H 4 02 C 2M 1H 2 D 1M OH 1 3M OH 4 3M…

A: ACTIVITY RESOURCES DURATION                                   A 2M         1H 1 2M 1H…

Q: Find the present value of a continuous income stream F(t) = 10 + 5t, where t is in years and F is in…

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Q: Write a MATLAB code to find an approximate value of the following ODE using Euler's method. and y =…

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Q: 1) Write the following function as a power series and state the interval of convergence. -5x² f(x) =…

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Q: Find the critical points for f(x,y) = x³ +y³ - xy and determine if the function f(x,y) has a saddle…

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Q: 11- Find the moment of inertia about x-axis bounded by the curve y = 6- x² and the line y = x + 1

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Q: PMT= $2,400; 1.85% compounded monthly for 5 years. ... The future value of the ordinary annuity is $…

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Q: For the following boundary value problem, use the collocation method to determine a solution of the…

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Q: Compute the Riemann sum for f(x) = 21 – x^2 on [1,4] using the partition P = {1,2, 2.5, 3, 4} and -…

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Q: Let N R R be any norm on Rn. Show that N is a convex function (give all the details for the proof).

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Q: Let T: R³ R³ be the linear transformation defined by 1. Find the kernel of T where: a = B={ 2. Find…

A: According to bartleby guidelines we do first three parts and rest part can be reposted separately.

Q: Let : G H be a homomorphism. Let (G) = {(g) | ge G}. Show that (G) is a subgroup of H.

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Q: Find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is…

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Q: Find f(x) if f(2) = 2 and the tangent line at x has slope (x - 1)e+² - 2x f(x) =

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Q: 4. The cylinder x² + y² = 4 intersects the plane = y +2 in an ellipse. Find the exact value of the…

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Q: Given the equation c 3 00-00-0 4 solve for the vector 2 2 5 2 2 1+c 3 2 2 O d. 3 ¨¨¨¨¨¨ 1 1 2 2 4 0…

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Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

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Q: Apply the method of undetermined coefficients to find a particular solution to the following system.…

A: The given system of differential equation is        x' = 3x + 2y + 2et   . . . . . . . . . . . (1)…

Q: Check that the four points ?(2,4,4), ?(3,1,6), ?(2,8,0), and ?(5,2,3) all lie in a plane. Then use…

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Q: (b) When p > 2, use the restrciting-to-a-line technique to show f(x) is convex.

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Q: (4) Find the last two digits of the number 372,018 (0)

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Q: 3) How many integers between 1 and 60 are divisible by at least one of 2, 3, and 5?

A: Let A ,B and C be three sets , then  |A∪B∪C|=|A|+|B|+|C|-|A∩B|-|B∩C|-|A∩C|+|A∩B∩C|.

Q: Problem 4: Let A = (0,0), B = (1,0), B> (1,0), (= (0,1), 0=(1,1). Say wether each of the following…

A: A=0, 0, B=1, 0, C=0, 1, D=1, 1

Q: 3) Use partial fractions to find the power series of the given function and find the interval of…

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Q: Consider the following initial-value problem. y' y = 2 cos(6t), y(0) = 0 Find L{f(t)} for f(t) = 2…

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Q: Q2: Show by 1- pvq → r^s 2- ~r/~q contradiction that

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