Find the maximum rate of change of f(x, y, z) = x + occurs. Maximum rate of change: Direction in which it occurs: at the point (-5, 1, 5) and the direction in which it

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A: Given that the interest is compounded continuously at 6.8% per year, the balance P grows at the rate…

Q: The half-life of uranium-232 is approximately 68.9 years. (1) What is the decay constant, A, of…

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Q: The joint cost, in dollars, for two products is given by C(x, y) = x²√√y² + 11. (Round your answers…

A: The joint cost is given as , Cx,y=x2y2+11

Q: Find the matrix A of a matrix transformation T(z) = Az which satisfies the properties and T(B) - A…

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Q: 79. Find the area between y = e* and y = e²x over [0, 1].

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Q: 2. Sketch the curve defined by the parametric equations z=1+ sint y cost-2 and the interval 0 Sts.…

A: x=1+sint y=cost-2

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Q: Solve the following equations for exactness, then solve:  1. ( cos x cos y - cot x) dx - sin x sin…

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Q: Consider the indefinite integral The integrand decomposes into the form ax+b+ + where a = b = C = d…

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Q: Find the unique solution to the differential equation that satisfies the stated condition. y² dy dx…

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Q: Consider the series In this problem you must attempt to use the Ratio Test to decide whether the…

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Q: The greatest integer function is defined by [x] = n, where n is the unique integer such that n ≤ x <…

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Q: Evaluate the limit assuming that limx→4 g(x) (Use symbolic notation and fractions where needed.)…

A: given limx→4g(x)=-5

Q: Verify directly that F is an antiderivative of f. F(x) = 3x² - 4; f(x) = √3x² - 4 O F(x) is an…

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Q: A man is walking away from a light source located 20 feet from the ground at a rate of 2 feet per…

A: We need to find rate of shadow moving.

Q: Evaluate the definite integrals using the graph of f (x) below. 6 y 4 2 O -2- -6 2 A ·10 I I 6 T 1 L…

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Q: SS,' e** dx dy -x е y

A: ∫01∫y1e-x2dxdy

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A: The integral is given by ∫t+12t2dt To determine: the solution of the integral.

Q: [(5x+3y)dA where R is the parallelogram with vertices (0,0), (-2,-4), (-3,3), and (-5,-1). Use the…

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Q: DETAILS Find an equation of the tangent line to the curve at the given point by both eliminating the…

A: Application of differentiation

Q: Use 6° 9 g(u) du = 12 to answer the questions below. 36 (a) In this part, you will use the method of…

A: Integrating: u=t6 then putting the value of u in the given integral. Now solving it we get:…

Q: Find the volume bounded by the graph of f(x, y) = x² + y2, the rectangle [-1, 1] x [-3, -2], and the…

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Q: (d) lim (2t-³) t→0+ (e) lim (2t-³) -0-7

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Q: 16. f(x) = x²e²x

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Q: (b) x2n - 2,5n1/3 Ay-n₁ 5n + 4,-n X

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Q: In 2004, an art collector paid $176,753,000 for a particular painting. The same painting sold for…

A: In 2004, an art collector paid $176,753,000 for a particular painting The same painting sold for $…

Q: 9) Find the relative maximum and minimum values for the function below give the following…

A: f(x,y) = 3 – x2 – y2   subject to constraint : x + 6y = 37 Find the Relative Maximum and Minimum…

Q: Solve the differential equation using laplace transform: y" +4y=F(t) where: F(t)=1, 0<t<1 = 0, t≥1…

A: The given differential equation is:y''+4y=F(t)where:F(t)=1       0&lt;t&lt;10t≥1y(0)=0,     y'(0)=-1

Q: Find the derivative. *x² 1²² ₁ d dx In(6 + t²) dt

A: Here we need the Leibneitz integral rule   ddx∫a(x)b(x)f(x,t) dt = f(x,b(x)) ddx(b(x)) -  f(x,a(x))…

Q: If f(x) = x³-6x+4 is divided by x + 2, by the Remainder Theorem f(8) = -2. O True O False

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Q: A car going 70 ft/sec brakes to a stop in five seconds. Assume the deceleration is constant. (a)…

A: Speed at which car is going is 70 ft/sec. Deceleration is constant . Initial condition÷  At t=0 we…

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Q: A robotic machine fills containers with an acid solution at the rate of 120 + 4t milliliters (mL)…

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Q: Suppose that a company introduces a new computer game in a city using television advertisements.…

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Q: Use the Leading Coefficient test to determine the right and left end behavior of the following…

A: fx=2x5+x-1 Comparing this with equation  fx=anxn+an-1xn-1+.......... We get, n=5 , an=2 n=5 (odd)…

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Q: In 2002 ​(t=​0), the world consumption of a natural resource was approximately 14 trillion cubic…

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Q: Integrate the given function over the given surface. G(x,y,z) = y² over the sphere x² + y² + z² = 1

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Q: Setup integral(s) with respect to y that represent the area bounded by = sin(x), y = 1, and x = 0.…

A: Region bounded by y=sinx ,y=1,x=0 Graph

Q: Estimate the slope of the tangent line of the function y(t) = √√2t + 1 at the point t = 3.

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Q: Sarah deposited money in a bank 7 years ago. The bank paid interest at 5% per year compounded daily.…

A: t=7 years r=5 Amount = 21000

Q: Find the derivatives of the following functions. -X (a) f(x) = e sec x (b) f(x) = ln(4x² + 3)

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Q: Find the derivative. f(x) = x³. log4(x) Give your answer using the form below. XA(B + C logo(X)) A =…

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Q: Find an equation of the plane through (-1,8,6) that is perpendicular to the line x - 2 = 3t, y + 3 =…

A: Point is (-1,8,6)  Find equation of plane

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the…

A: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the…

Q: Consider the function f(x) = 3√x + 6 on the interval [2, 9]. Find the average or mean slope of the…

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Q: Find the volume after rotating the region bound by the following two curves around x axis.…

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Q: f(x) = eet

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Q: What is the average rate of change of f(x) from x₁ = -6.8 to x2 = 3.7? Please write your answer…

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