Assume that a computer can solve 200 upper-triangular matrix problems of 3000 variables in 3000 unknowns per second. Estimate how long it would take to solve one, not necessarily upper-triangular, problem of 5000 equations in 5000 unknowns.

Q: Use this equation to find dy/dx for the following. cos(x - y) = 8xey dy dx =

A: Topic = Derivative

Q: Use the Chain Rule to find dz/dt. dz dt - Z = = √6 + x² + y²₁ x = 6 In(t), y = cos(t)

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Q: Find all critical points of the following function. f(x,y) = - 4xy-x²-y4 What are the critical…

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Q: Determine whether the following series converges: Σ∞k=1 (k2/(k3+8))

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Q: 4. Newton's Law of Cooling Suppose that an object initially having a temperature of 20 °C is placed…

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Q: 6. cos 20-sin 0 = 0

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: For the demand function q = D(p) = 425-p, find the following. a) The elasticity b) The elasticity at…

A: The given demand function is: q=Dp=425-p (a) To find the elasticity.

Q: Determine the characteristic polynomials, eigenvalues, and corresponding eigenspaces of the given 3…

A: The given matrix, 157-7-111137-5 We have to find the characteristic polynomial, eigen values and…

Q: Evaluate the integral by making an appropriate change of variables x - 2y ·SS 3x-y R x - 2y = 0, x -…

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Q: d'y Use implicit differentiation to show that if y² + x2 = 6xy, then dx² = 6xy (y - 3x)²

A: Concept: We begin by differentiating the given equation implicitly with respect to xx and find the…

Q: x² (x² + 1)² 21. y = [(3x² + 2x + 2)(x- 19. y=

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: n=1 9 (3n − 1) (3n+2)

A: To find: ∑n=1∞93n-13n+2 ∑n=1∞9(3n-1)3n+2=∑n=1∞ 33n-1- 33n+2

Q: Let f(x) = (sin x)³ + (cos x)³ 3 Enter the total number of critical numbers on the interval [0, 27].

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Q: Find the derivative of the following function using the definition of derivative. State the domain…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve y² (6-x) = x³ at…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the area of the region bounded by graph of y=1/x and 2x+2y=5

A: Given curve y=1x,2x+2y=5 That is 2y=5-2xy=52-x

Q: Find the derivative of y with respect to t. 3) y = sin-1 (e³t)

A: Given is to find the derivative.

Q: Suppose f(x, y, z) = x² + y² + z² and W is the solid cylinder with height 5 and base radius 5 that…

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Q: Find the radius of convergence for: 2 (n!)*an η χη (2η)! Σ n=1

A: Let's find radius of convergence.

Q: 17. f(x) = 2x³ + x² − x + 3

A: The given function is fx=2x3+x2-x+3. We have to find the critical numbers and increasing and…

Q: Use an appropriate test to determine whether the series converges absolutely, converges…

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Q: 2- find dw and 2 ot t if w= x² + y² + Z² when x= e cost y=esint

A: I am attaching image so that you understand each and every step.

Q: Find d²y dx² if x=5+ t², y=t-t³

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Q: f(x)=x²2x²2 + 3

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Q: Test the series below for convergence using the Root Test. n=1 f(n) 5n 9n + 3 The limit of the root…

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Q: QUESTION 12 A firm produces two types of toy trains each week. The weekly revenue function is given…

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Q: Determine whether the series converges or diverges. Σ n=1 O converges O diverges 1 +8

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Q: How do you derive the reduction formula for integrating sec^3xtan^2x?

A: I am attaching image so that you understand each and every step.

Q: Use the Root Test to determine if the series converges absolutely or diverges. 3k+9 € (-³K+9)" k=1 k

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Q: Consider the function f(x) = 2x + 6x¯¹1. For this function there are four important intervals: (-∞,…

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Q: the housing prices increased exponentially, find an equation of the form P = Poat to represent…

A: we will find the required.

Q: Integrate f(x, y, z) = 6xz over the region in the first octant (x, y, z ≥ 0) above the parabolic…

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Q: Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the…

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Q: 2. Graph examples of functions y = f(x) (separate functions for each part) such that: (a) f(x) is…

A: (d) The tangent line to y = f(x) at the point (1,2) intersect the graph of f(x) at exactly three…

Q: Find the area inside r = 3 + 3 cos θ and outside r = 3 + 3 sin θ in the first quadrant

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Q: 1 Suppose f(x, y, z) = √x² + y² + z² bottom half of a sphere of radius 2. Enter p as rho, as phi,…

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Q: Compute the average value of f(x, y, z) over the region W. f(x, y, z) = 13xyz W:0 ≤ z≤ y ≤ x ≤ 1…

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Q: 1 2 3 B A y 0 - 4 - 1 Rewrite the logarithmic function rule f(x) = log³(x an exponential equation.…

A: (A).The given function is:f(x)=log3(x)

Q: Use spherical coordinates to find the volume of the region outside the cone q = π/4 and inside the…

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Q: Use the integral test to determine whether the series is convergent or divergent. n² Σ; Evaluate the…

A: Here we have to evaluate integral and then find out whether the series is divergent or convergent

Q: Suppose that and y are related by the equation x² - y² = 2. Where y is a function of x. Use implicit…

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Q: Find

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Q: 1- Suppose you have been hired as an economic consultant concerning the world demand for oil. The…

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Q: Consider the curve r(t) = (a) Pick any three points along the curve. Then find an equation of the…

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Q: Find the equation of the line using the point-slope formula. Write the final equation using slope-…

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Q: Differentiate f(x) = seca 1+tan For what values of x does the graph of f have a horizontal tangent?

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Q: Find Ln, R₁, and their average for the definite integral below using the indicated value of n. 5 f…

A: Given integral:- ∫15x2+4dx

Q: •√√√π/2 Y π/2 X r² cos(xy) drdy

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Q: 1. Can a function such as f(x) = 5³x be written in the form f(x)=b? If so, what is b? EXERCISES 4.1…

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Q: QUESTION 3 Find the second order partial derivative Y (x,z) XZ of the function Y = Y (x,z)=- XZ Y…

A: Differentiate two times first x then z