Evaluate 4 R³ TR³ O TR³ O TR² 2π 0 R p² sin odpdøde.

Q: 22.5 A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

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Q: Evaluate the line integral along the curve C. S-Tabe − ydx + xdy, C: y² = 3x from (3,3) to (0,0) O O…

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Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s)G(s)} = f(t)g(t). O True O…

A: The given data is: Lft=Fs and Lgt=Gs, then L-1FsGs=ftgt is true or false.

Q: 35. Choose the integral which represents the area between two curves given on the picture. 2- 1…

A: To choose the integral which represents the area between two curves given on the picture.

Q: 1 The volume of a right circular cone of radius a and height y is given by V = ²y. 3 when x = 6 and…

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Q: √64-² S.S. - In (x² + y² + 1) dx dy = ₁₂ dr dr de

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Q: Determine the points of discontinuity for the following. 2x+5 f(x) = X-7x+6

A: F(x)= (2x+5)/(x^2-7x+6) Factorise the denominator F(x) = (2x+5)/(x-1)(x-6) Denominator can not be…

Q: 1. Ella thinks that if a function is positive over an interval, then its derivative is also…

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Q: JS FdS, where F(x, y, z) = xi+yj + zk and S is the part of the cylinder S x²+y² = a² (a > 0) lying…

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Q: Evaluate the integral (8 (8x+15y)dx + (27x - y)dy along the parabolic arc y = x² from (0,0) to…

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Q: 811. Given a geometric figure, one can ask for its centroid, which is - roughly speaking - the…

A: Given:  A unit semi circle.  We need to find the y co-ordinate of the centroid of the unit…

Q: Use the definition of Taylor series to find the Taylor series, centered at c, for the function. f(x)…

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Q: Given: f(t) = -2/3/2 + 4e 31. 3r Evaluate: F(2) Use 2 decimal places.

A: Given:     ft=-2t3/2+4e3t Apply Laplace transform on both sides    Lft=L-2t3/2+4e3t Apply linear…

Q: Calculus

A: Please refer to the image below

Q: The partial sum-3+ (-12)+(-48) ++(-49152) equals > Next Question

A: Topic = Series

Q: Sketch a graph of the polar equation. 3 2+3 cos 0

A: The given polar curve r=32cosθ

Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y"" + 2y" - y' - 2y =…

A: Solution is given below:

Q: Question is to find all the local​ maxima, local​ minima, and saddle points of the function.…

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Q: Given [*₂h(t)dt = -5 h(t)dt = 22 and evaluate the following integral. ["h(t)dt = | [h(t)}dt h(t)dt =…

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Q: Find the value of (2) for a solution (x) to the initial value problem: y" + 4y + 4y = 2x + 6; y(0) =…

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Q: The area under one arch of y=sin(0.5x) is O 0.2 O 0.5 O 0.8 None of them

A: Given: y=sin(0.5x)

Q: Given: f(t) = 8 t 2 Evaluate: F(2) Round-off answer to 2 decimal places.

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Q: 33. Cost A manufacturer has an order for 1000 units of fine paper that can be produced at two…

A: Given data:- Order value of fine paper = 1000 units Produced at two location, x1 & x2 The cost…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: If 6√√x + 15√y = 177, find y'(x) by implicit differentiation. y'(x) = Y I Find the exact value for…

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Q: 4. an = 6n 5. a = 6. 2n+2 a = (-2)n-2n

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Q: Evaluate the definite integral, to 4 decimal places. [² √2x + 7dx

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Q: π f(x,y) = sin 3(x+y) over the square 0≤x≤60sys 6. R

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Q: 14. The solution of the differential equation: (D-2)³y = e2²x is k a) y = (₁ + c₂x)e²x + xe²x b) y =…

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Q: Answer true or false. If f is not piecewise continuous on [0, co>), then L{f(t)} will not exist. O…

A: For the solution of the problem follow the next step.

Q: A triangle ABC has sides that is equal to 11m, 13m, 15m. find the length of median of the 11m-side.…

A: formula: ma = (1/2)2c2 + 2b2 - a2

Q: *7. Draw the region whose area is given by the definite integral. S₁₁7 = dx Which graph shows the…

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Q: What is the gradient of f(x, y) = x² - y4 at the point (5,2)? O 5i + 16j O -15i-16j O -6i + 13j O…

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Q: Find a power series for the function, centered at c. 8 5-x £( n = 0 f(x) = C = 1 Determine the…

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Q: Determine whether the series Σ=1 (Limit Comparison Test) 2n²+3n √5+n5 converges or diverges.

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Q: For the function f(x)=ln(1−5x)​, find the Taylor polynomials of orders​ 0, 1,​ 2, and 3 generated by…

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Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Which are the foci of the ellipse represented by 25x² + 16y² = 400?

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Q: 20 29t2 +42t represents the position function for a particle moving The function s(t) = along a line…

A: The given function is: s(t)=203t3-29t2+42t  where t∈0, 6 v(t)=d(s(t))dt=d203t3-29t2+42tdt=20t2…

Q: The function f(x) = = The smaller one is x = 2x³36x² + 192x - 1 has two critical numbers. and the…

A: The given function fx=2x3-36x2+192x-1

Q: 1. A) Express 0 1 4 1+x dx as a power series.

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Q: Find the solution of the given initial value problem in explicit form. y' = (1 - 11x)y², y(0) y(x) =…

A: Given initial value problem is : y'=(1-11x)y2,   y(0)=-14

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-tj² L{f(t)}…

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Q: Given f''(x)= Find f ƒ(7) = = 1 25 sin(5x) and f'(0) = 5 and f(0) = -6.

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Q: Consider the following initial-value problem. y' - y = 2 cos(2t), y(0) = 0 Find {f(t)} for f(t) = 2…

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Q: Match each of the following parametric Equations with a plane curve : x(t) = - 3t y(t) = 1 - 9t² TER…

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Q: Determine the y-coordinate of the centroid of the shaded area. bl. | x=y²/b b Answer: y = i 0.48b MI…

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Q: Calculus

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Q: If My - N N equation = Q, where is a function of a only, then the differential has an integrating…

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Q: The population of Toledo, Ohio, in the year 2000 was approximately 480,000. Assume the population is…

A: This question can be solved using the concept of general form of exponential growth function.