Evaluate the triple iterated integral. r2 xyz dx dy dz

Q: Use Green's Theorem to evaluate the line integral. y2 dx + xy dy C: boundary of the region lying…

A: Given problem:-

Q: dz and ду dz Find z = a° In (1+ cy) az dz ду ||

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Q: Consider a wood beam (see figure) carrying a uniform load of 20.5 kN/m (which includes the weight of…

A: answer is in next step

Q: 2. Let f(x) = vVI(2 – x). Use the local linear approximation of f(x) at xo V0.99 (1.01)². 1 to…

A: Explained below

Q: Find the area of the surface generated by revolving the curve y = /2x – x2, from x = 0.25 to x =1.7

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Q: Evaluate the iterated integral. T/4 '5 y cos(x) dy dx

A: A detailed solution is given below

Q: A man 6 ft tall is walking toward a building at the rate of 5 ft/s. There is a light on the ground…

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Q: The matrix associated with the solution to a system of linear equations in x, y, and z is given.…

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Q: What is the radius of curvature at point (1, 2) of the curve 4x – y2 = 0.

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Q: Oil is leaking out of a ruptured tanker at the rate of r(t)=40e^(-0.03t) thousand liters per minute.…

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Q: Find curl (8z i + 9x j+ 8y k). curl (8z i + 9x j + 8y k) i )i + ( i )j + ( i )k

A: Given that,     8z i+9x j+8y k

Q: dx 3-x

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Q: The graph of f(x) is shown (see figure). f(x) %3D Vx2 +7 Net draw o scale (a) Find the following…

A: Solution: f(x)=9xx2+7

Q: (5x2 – y²) dx + 2ydy = 0

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Q: im 2x² Sin 4x²

A: Given query is to find the limit of the expression.

Q: If xy2 3x2y + C, then what is the value of C at (2,2)?

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Q: Activity 1.5.2. A potato is placed in an oven, and the potato's temperature F (in de- grees…

A: This is a problem related to interpolation of the quantity. Based on the general formula we will…

Q: _4. What is the first derivative of f(x) = (x² – 4)(3x – 2)? а. 9х? - 4х — 12 b. (2х)(3) C. 6x d. (x…

A: Topic:- derivatives

Q: The cumulative percent of sexually active boys ages 15 to 20 is given in the table. Complete parts…

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Q: Find curl(2: i + 3x j + 6y k). curl(2: i + 3x j + 6y k) = ( )i + ( j + ( )k

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Q: Evaluate et-2 lim x→2 _x – 2 1 O +∞ O 1 O -00

A: Use l hospital rule for finding the correct option.

Q: Evaluate F. dr. Jc F(x, y) = 7xi + 8yj C: r(t) = ti + v4 - tj, -2 st s 2

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Q: What is the differential equation whose solution represents the family y = Ae3x + Be 3x+Ce4x? %3D O…

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Q: 8.) A box with a square base and no top must have a surface area of 48 square inches. Find the…

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Q: ntinuous function, f (x), has a domain of [-6, 6] -6 <x<-2 x=-2 -2 <x< 0 x=0 0 < x<6 does not exist…

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Q: Consider the following functions. f(x) 3 Vx - 3 g(x) = x – 3 %3D Sketch the region bounded by the…

A: Let us first find the intersecting point. So,               x-33=x-3⇒x-3=x3-9x2+27x-27⇒x=2, x=3, x=4…

Q: What is the area bounded by the graphs of y = 8x and y = 16x 16? %3D O A = S*,- 1)dy O A = S*,(-1)dæ…

A: Topic:- application of integration

Q: ||(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 3 r(t) = e10ti + etj

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Q: Determine the equation of the midline of the following graph. 2 -27 3 27 3' 47 3 3. '3 2 6. -1 -3 -4…

A: From the given graph we have to find the midline value

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal.…

A: Given that,      z=19xey-10ye-x

Q: If the amount of bacteria in a culture at any time increases at a rate proportional to the amount of…

A: answer is in next step

Q: Find the volume oF the solid that results when the region enclosed by the give N curves y=e ソ=o, ×=…

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Q: If xy2 3x2y + C, then what is the value of C at (2,2)? %3D

A: Given query is to find the value of c.

Q: Use left-to-right elimination to solve the system of equations. 3x + 4y - 5z = 8 4x + y- z = -1 x-3y…

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Q: | (2x - y) dx + (x + 3y) dy. Evaluate C: arc on y = x5/2 from (0, 0) to (4, 32)

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Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = – 0.004t? + 0.4t,…

A: Given,  M'(t)=-0.004t2+0.4t

Q: A stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

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Q: d d ri(t) - r2(t)] and nt) x ra(t) first by differem [ri(t) × r2(t)] first by differen dt dt the…

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Q: 1) What are the equations (4 of them) that show the relationship between polar and rectangular…

A: We can solve as follows

Q: Consider the following equations. y = -x2 + 2x + 1 y = -x + 1

A: Solution: y = -x2 +2x +1 y =-x+1

Q: Determine the vector field of F. F(x, y) = yi – xj

A: Given that,  F(x,y)=yi-xj

Q: Use the formula K(t) = r(t) × r"(t)|| ||r(t)||* to find k(t). r(t) = 11 cos(t)i+11 sin(t)j + 6tk…

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Q: Refer to the graph below. Find lim f(x). 3. 2- 1+ -5 4-3 -2 -1 -1+ 3. 4 5 x -2+ -3+ Does not exist 4…

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Q: Use Riemann Sums to calculate the area under the curve over the interval (1,3] for f(x) = x² + 2

A: By using Reimann Sums to calculate the area under the curve over the interval 1, 3 for fx=x2+2.

Q: Find div F and curl F if F(x, y, z) = 7e*" i - 10 cos yj+ 8 sin² z k. div F=| curl F=

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Q: esin(a

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Q: r In x 2

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Q: Determine whether the improper integral diverges or converges. 0. -4x xe dx converges O diverges…

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Q: Evaluate the definite integral (cos(t), sin(t))dt

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Q: What is the area of the region bounded by the graph of r = 4 cos 20? Choose two (2) correct answers.…

A: Let's find.