3. The radius of a circular oil slick expands at a rate of 2 m/min. a. How fast is the area of the oil slick increasing when the radius is 25m? b. If the radius is 0 at time t = 0, how fast is the area increasing after 3 min?

Q: Find y as a function of x if y(0) = 10, y(0) = 10, y"(0) = 18. y" - 16y" +63y = 144e",

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Q: Consider the function f(x) = 4√x +9 on the interval [3, 10]. Find the average or mean slope of the…

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A: 2x-y+z=22x+3y+2z=-67x+5z=60

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A: Let fx,y=x2+y213 Here x=2,y=2∆x=-0.09,∆y=0.3 At x=2,y=2  f2,2=22+2213=2

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Q: Consider the angle 0, which is labeled as Q in blue on the graph, with corresponding point P on the…

A: see below the answer and explanation

Q: Soit f une fonction intégrable sur la droite réelle, et a < b deux nombres réels. Lesquels des…

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Q: dy Find implicitly. dx dy dx II x²e-x + 3y² - xy = 0

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Q: The expression (cos 90°) (cos 30°) (sin 90°) (sin 30°) can be rewritten as which of the following?…

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Q: Consider the function f(x) = x²e¹¹¹. For this function there are three important intervals: (-∞o,…

A: Topic - Application of derivatives We are given f(x)=x2e11xWe know…

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Q: Evaluate the indefinite integral: [v Vr² +4r dr

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Q: Atmospheric pressure P in pounds per square inch is represented by the formula, P = 14.7e-0.21a…

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Q: Find dx dx 11 implicitly. x²yev - 3 = 0

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Q: Find all solutions of the system. (Use the parameters x, y, and z as necessary. If the system is…

A: Explanation of the answer is as follows

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Q: 2) The graph of f(x) = 0.5x(x-4) (x - 7) is given below. 10+ m 10+ c) Find the value of L(3). Your…

A: L(x) is the linear approximation of the function f(x) at a point x=a  that can be found as…

Q: -6 0 dz x²+36

A:

Q: Find all local extrema for the function f(x,y)= -2x²-5xy-8y²-48x-138y +2. Select the correct choice…

A: Find all the extrema for the function f(x,y)= -2x2-5xy-8y2-48x-138y+2

Q: The cost of manufacturing x badminton rackets per day is given by the function C(x) = 550 + 6x +…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is  and the…

Q: K a. Find the open intervals on which the function shown in the graph is increasing and those on…

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Q: e an appropriate test to determine whether the following series converges. k=1 7k 6k elect the…

A: Given query is to find series convergence or divergence.

Q: a. fx = 6x - 7y and fy = 6y-7x b. fx = 3x - 6 and fy = 2y-2 c. fx = 8x² - 32 and fy = 3y+9

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Q: Evaluate the indefinite integral: sec² (r) tan² (r) +5 tan(r) +6 dr

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Q: The marginal cost of manufacturing a yards of a certain fabric is C'(x) = 3-0.01x + 0.000006x2 (in…

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Q: Q7.2 You have been given the following boundary value Please Solve it. Your answer should be Don't…

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Q: Consider the function f(x) = 5x³ – 5x on the interval [ — 4, 4]. Find the average or mean slope of…

A: Given  function f(x)=5x3-5x

Q: The fox population in a certain region has a continuous growth rate of 4 percent per year. It is…

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Q: Find the derivative of the function. s = t'et

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

Q: Express the following numbers in rectangular form (real and imaginary). (a) 9 39°= +i (b) 20 -15° =…

A: Note:as per our answering guidelines we can solve only 1 question or 3 sub parts. So i solved 1st…

Q: Fill in the blanks below appropriately to obtain a proof for the expression Proof: tan(A) · (2 cos³…

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Q: D. Let function g: R → R be defined by g(x) = 2x + 1 5 cx in its domain. Why does your choice of c…

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Q: Evaluate the definite integral: 1/2 dr

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Q: Q2.1 you have been given the following sets functions. Which of them are linearly on the interval of…

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Q: Solve the following system of linear equation by (a) Gaussian elimination (b) Gauss Jordan and (c)…

A: Given system of Linear equation -x1+x2+2x3=12x1+3x2+x3=-25x1+4x2+2x3=4 Writing this system in the…

Q: olve the system by back substitution 2x + 4y + z +3w= -1 -3y-18z-6w= -24 3z + 3w= 6 - 4w = - 12

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Q: Find the exact value of cos 255⁰. √3-√2 2 √2-√6 4 √2+√6 4 4 2

A: Given; Cos(255).

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Q: 3}( 20. Evaluate the following integral: 0 2x e³x dx -

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

Q: Find all solutions of the system. (Use the parameters x, y, and z as necessary. If the system is…

A: Given 4x - 2y + 3z = -12       + 6y - 4z = 36

Q: Evaluate the indefinite integral. 8(8-5x) dx =

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Q: 14 ft ladder leans against the side of a house. The top of the ladder is 12 ft off the ground. Find…

A: Topic = Trigonometry

Q: *: Solve the recurrence relation an = 7an-1 7an-1-10an-2 +16n.

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Q: √24.73

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Q: $ 5² If f(x) dx = 31 and 659 g(x) dx = 12, find r5 1³ 1². [2f(x) + 4g(x)] dx.

A: Topic = Integration