Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate planes and the plane 9x + 18y + 8z = 144. NOTE: Enter the exact answer.

Q: Which is the correct inverse Laplace transform of U (s)=+ O u(t) = 6t + sinh(4t) + cosh(4t) %3D O u…

A: Recall:  L-11sn=tn-1(n-1)! L-1ss2+a2=cos at L-11s2+a2=1asin at

Q: dx xV4-x?

A: Explained below

Q: Find the derivative of y sinh-(13x). (Use symbolic notation and fractions where needed.)

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Q: 2. Find S +l" dudy by first snitching the order of integration 4

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y® +…

A: To Find: Surface area of the region

Q: Solve the following initial-valued problems. y'=(y/x)+2,   y(1)=3

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Q: dt, if we let V Vt+1-2, then dt is equal to A (4x³+2)dx B None © 2(x²+2)dx D 4x³dx E 4x(x²+2)dx

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Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

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Q: Find V. (V × F) if F(x, y, z) = 7 sin xi + 2 cos(2x – 3y)j+ 6zk. V·(V × F)

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Q: Find the exact value of the expressions cos(a + B), sin(a + P) and tan(a + B) under the following…

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Q: A street light is mounted at the top of a 15 ft tall pole. A man 6 ft tall walks away from the pole…

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Q: Find the standard form of the equation of the ellipse with the given characteristics.

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Q: Find the arc length of the graph of r(t) = ev2'i + e-V24j+ 2tk, 0<t< v2 In 9 NOTE: Enter the exact…

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Q: Find the value of n in the following definite integral. 4x° dx = 1 Answer:

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Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $546 each for 83…

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Q: Find the magnitude of vector AB. 1. A = (4, -3) and B 2. A = (-2, 11) and B = (2, 8) = (-8, 2) %3D…

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Q: A box with a square base and open top must have a volume of 415292 cm. We wish to find the…

A: topic - application of derivatives

Q: 4y" – 4y' + y = 16e*/2

A: Find your answer below

Q: The most conveneient way to evaluate ²–4 by substitution is to let x2-4 =y A True B) False

A: Yes the statement is True, the substitution is the most convenient way to compute the integral

Q: velocity? Answer:

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Q: Refer to the graph below. Find the producer surplus for the supply function, S, when x=20. Hint:…

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Q: Suppose a population function P(t) satisfies the following differential equation. P is measured in…

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Q: ired) and other rules; You can use technology

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Q: Find the Jacobian d(x, y) / d(u, v) for the indicated change of variables. u- v), y =u + v) X = -

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Q: Find the exact area under the curve between the indicated values of x. y =x(1/2); between x = 1 and…

A: find the area under the curve

Q: Find div F and curl F if F(x, y, z) = xz°i+ 5y*x²j +4z²yk. div F= curl F=

A: To find curl F and div F.

Q: S- (1+x²) = x*dx Using trigonometric substitution, tan ode A sece sin Ode B cose S tan od0 sec20 sec…

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Q: x³dx is equivalent to Using trigonometric substitution, Vx² –4 A 6/ tan*0 seco do B) None © 8 sec0…

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Q: . .............. Solve the exponential equation algebraically. Approximate the result to three…

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Q: Describe the graph of the equation. r = (8 - 31) i - 14 j O It is a plane in 2-space that goes…

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Q: S. dx 2. x²V4-x2

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Q: Find the tangential and normal components of the acceleration vector for the curve 7(t) = (- 3t,…

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Q: 5+a 5 lim, 0

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Q: 5. A boater wishes to cross a canal that is 3 km wide. He wants to land 2 km upstream from his…

A: We need to find direction and time.

Q: Verify Green's Theorem by evaluating both integrals y2 dx + x² dy = dA ду for the given path. C:…

A: In this question we can verify the Green's Theorem . i.e, ∫C M dx +Ndy = ∫∫R ∂N∂x-∂M∂ydA .

Q: Find two values of 0, 0so<2n, that satisfy the following equation. cos = 2 (Simplify your answer.…

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Q: Solve the problem. Write an iterated triple integral in the order dz dy dx for the volume of the…

A: Write an iterated triple integral in the order dz dy dx for the volume of the region in the first…

Q: QUESTION 10 Suppose the demand function D(x) = - 3x+7 and supply function S(x) =2x+2. Find producer…

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Q: x*dx Using trigonometric substitution, (1+x²) 3 tan ode A sece sin ode B coso tan ode sec20 sec 9d0…

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Q: 1. How fast is the ice forming when t = 1? When t = 2? Give units. when t = 1: when t = 2: 2. If ice…

A: see below the answer and explanation

Q: 4y" – 4y' + y = e"/2/1 – x².

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Q: Find the area bounded by the indicated curves. x = 2y2 - 1, x = y2 + 8 For visualization, input the…

A: Topic:- application of integration

Q: An antiderivative for is: 22 +81+20 1 O In + C I+8 ㅇ 올tan-1 () +C 금i미플의 O In 28|+ C O tsec- (4) + C

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx

A: see below the answer and calculation with steps

Q: 7. Find the area of the shaded region. Give the exact value for the answer. V = = sec?x y = cos x 4

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Q: For the given vectors a and b, find the cross product a x b. = (4, 0, –3), b = (2, 3, 0) a x b =

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Q: a jə et v = (560, –335). Find the following: a. The magnitude of the vector. b. The direction of the…

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Q: 3/2 dy The order and degree of the differential equation (). - 4 = 0 dx - dx2

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Q: Solve for x. (Round your answer to three decimal places.) ex 8. %3D X =

A: We can solve by taking natural log both side and solve, so I'm providing hand written solution for…

Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

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