Find the average value of f (x, y) = = 4x cos(xy) over the rectangle R = {(x, y) | 0 < æ < n, 0 < y < 2}. 4一万

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A: 1999 is the fourth year from 1995.

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Q: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and lengt...

A: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and lengt...

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A: Here, elementary work is: dw=(2.5y+10)dy

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Q: Compute the first three non-zero terms of the Maclaurin Series for f(x) = ecos x

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Q: 2. f(x) = Vx – 1 at x = 5

A: Function is continuous and differentiable both at x= 5.....for detail...go through the solution

Q: Determine whether the alternating series converges. 00 5ln k k k=3 O The series diverges. O The seri...

A: On solving this series we will get

Q: 1. (Based on 7.6.33. from the book) The method of carbon dating makes use of the fact that all livin...

A: For living organisms; C14C12 = constant = 11012   Hence, 14C just before the organism dies; C14 =C12...

Q: dw at t = 4 for the function w(x, y) = e y - In x; x = t 2, y = Int. Evaluate dt O 1 2

A: Given that       w(x,y) = ey - ln x         x = t2 ,  y = ln t 

Q: 3. f(x) = 6xi – 3x ; x € [- 2,1 first derivative critical numbers stationary points End Points Absol...

A: Here, the given function is: f(x)=6x53-3x23; x∈-2,14

Q: 4.Sin3x-sinx CoS X S Sinx(Sin?x-)) Sini(sinni1). Sin ?x. tanx (sin zx -1) $in=t1 COS tan-o

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: 2ayda + (y 2 - x2) dy = 0 %3D

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Q: Three edges of a right triangular prism are defined by the vectors à= [1, 3, 2], b=[2, 2, 4), and = ...

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Q: ds using the trapezoidal rule and Simpson's rule. Determine Evaluate The value of -ds is (Round to f...

A: Topic:-  integration   

Q: Let U = { 2, 5, 7, 12, 13, 16 } and A = { 2, 5, 12, 16 }. If B = { 5, 16 }, determine the relationsh...

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Q: 16-X - 13 - 13 10-x x E 10 = 3.66 m

A: Given: 10-xx=3  ..1

Q: 6 If a particle's position is given by r (t) =<t,22 COst, sint7 find the velocit acceleration and sp...

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Q: Determine the maximum and minimum points of the given functions below. g(x)=x6−2x5+8x4

A: Here we have to find the maximum and minimum points of a given function g(x), we have use first and ...

Q: Determine the maximum and minimum points of the given functions below. h(z)=4z3−3z2+9z+12

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Q: 7. If exactly 100 people will sign up for a local flight, the airline will change P 3,000.00 per per...

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Q: Write out the form of the partial fraction decomposition of the function appearing in the integral: ...

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Q: The function f, shown below, is comprised of a semi-circle and piecewise linear segments. What is th...

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Q: 3. TVI+ 1 dx (use trigonometric substitution

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Q: Find the area of the shaded region. y y= v x 1 1, 1) X= 27 1 y = 10 15 20 25 2. 4.

A: Given query is to find the area of the shaded region.

Q: 27 The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) ...

A: Given query is to find the height of the ball when it's fall with the rate of 120 ft/sec.

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A: NOTE: Refresh your page if you can't see any equations. . to find the equation of velocity take der...

Q: Find the range of values of x for which y = x3 + 5x2- 8x + 1 is increasing.

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Q: Suppose that f is a linear function with slope 2.2 and that f(5) = -3. What value of x gives f(x) = ...

A: We have to find out x value for which f(x)=0

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Q: Evaluate O xy°dx + x²dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

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Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

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Q: Find the average value f of the function f on the given interval. ave f(x) = /x, [0, 25] fave

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Q: First make a substitution and then use integration by parts to evaluate the integral 9x³e*´ dx Note:...

A: A detailed solution is given below 

Q: Evaluat..f.x.dA. wha.is.the..sgiem.in.the.fiigt. R quandrant..bounded..xy=16. X..8....y.z.. y.e.x...

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Q: a) Enter a definite integral that gives the volume of the solid when the region above is revolved ab...

A: given problem is solved below in detail.

Q: 21. Find y' using implicit differentiation. a) In (xy + x + y) = 2 b) In (sin xy) = xy

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Q: 3z2+x 30. If z – xz – y = 0, prove that- =- ax dy (3z²–x)³*

A: Let's find. 

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A: Let y = f(x) be any function given   

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Q: Vx+4 -3 3. Evaluatelim x-5 Show your complete x-5 solution.

A: topic - limits

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Q: 9. Find the (f o g)(x) and (g o f)(x) of f(x) =a and g(x) = 3x+2

A: fx=x3x+2 and gx=2x

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A: The parametric equations are given as , x=2cos8t , y=2sin8t Name the type of curve that the pair of ...

Q: Evaluate the integral dx et – e-x

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Q: cos x tan x a) lim x→0 2x (x2 b) lim sin(x-) 4 x- 4

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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