Find the Fourier series expansion of the periodic ʻramp' function f(x)= 2x, valid between x = 0 and x = 27.

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y?,…

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0.7 sin (t - 4). What…

A: Average value of the function v(t)over an interval [a, b] is given by:is given by;[0, 3]v(t) =13-0…

Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: First we will find the equation for revenue.

Q: An equation and, its graph are given. Find an inequality whose solution is the shaded region. Need…

A: Given query is to find the inequality for the solution region.

Q: For the function f(x) = 3+x find f"(x). Then find f"(0) and f"(3). f"(X) = Select the correct choice…

A: This question is based on second derivative of given function.

Q: fined ely elx ex ex + e y.

A: y=ex-e-xex+e-xDifferentiate w.r.t x

Q: Identify the open interval on which the function is increasing or decreasing. (Enter your answers…

A: topic - application of derivatives

Q: Determine the volume of the solid generated by revolving the region bounded by y = x2 – 4x + 5, the…

A: The given curves are; y=x2-4x+5, x=1, x=4, y=0 x-axis From the given curves the bounded region is as…

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: The marginal cost for a company to produce g items is given by MC(g) = 0.004g? - 0.7g + 650, The…

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Q: equation

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Q: onsider the following function. f(x) = x2 - 8x (a) Find the critical numbers of f. (Enter your…

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Q: region

A: Please refer to the image below

Q: A tank of water in the shape of a cone is leaking water at a constant rate of 2 ft3 /hr. The base…

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Q: write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: Determine the area that lies inside r = 3 + 2 sin 0 and outside r = 2 (the green region below). r =…

A: In this question, we need to find the area of the region that lies inside r = 3+2 sin θ and outside…

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: Solving questions

Q: The function z is defined by z(x, y) = x y-3 y Find A z and dz when x= 3, y= 5, Ax = - 0.04 and A y…

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Q: A particle travels along the x-axis such that its position is given by x(t) = t0.8 cos (2t). What is…

A: We have to find the velocity in this question.

Q: sinx 12. What is the best method is solving dx? - cosx A) Half-angle substitution B) Partial…

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Q: Homework dy 1- Sinx dx + Cos2y=0 dy 2- Inx- dx %3D x2 +1 dx 0 y 3- xe* dy + !! 4- yv2x2 + 3 dy+ x/x…

A: Note :-these are multiple questions and according to our comapny guideline we can do maximum one…

Q: -(-3у?-у-2)dy 2y3+y2+4y

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Q: (x'+y' )dx +(2xy+ cos y)dy

A: (x2+y2)dx+(2xy+cosy)dyIt is of the formMdx+Ndy=0where M=x2+y2  ,  N=2xy+cosy∂M∂y=2y  ,…

Q: Solve the initial value problem dy 9(t + 1) – 6y = 18t, dt for t > -1 with y(0) 11. y =

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Q: WRITE THE SUMS WITHOUT SIGMA NOTATION. THEN EVALUATE THEM. > (-1)* cos kn k=1

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Q: The figure below shows.the rate of change of a fish population. Estimate the total change in the…

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Q: Use the graph to match the integral for the volume with the axis of rotation. y=f(x) x-f(y) (a) V =…

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Q: An animal population N(t) is modeled by the differential equation = 0.00005N (N – 200).If N(0)=A,…

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Q: Write the function in the form f(x) = (x – k)q(x) + r for the given value of k. f(x) = x3 – 4x? – 8x…

A: Divide the polynomial by x+2 and simplify it.

Q: A particle moves along the x-axis with velocity given by v(t) = 2 sin (2t) for time t>0. If the…

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Q: (12 Use differentials to est imate fl-2.01) it fCx): x/T-x.

A: We need to find differential estimate. NOTE- As per Bartleby's guidelines we can only solve one…

Q: Given 7 f(x) dx = –10 f(x) dx = 8 %3| 7 6. g(x) dx = –1 g(x) dx = -8, compute the following…

A: Given problem:-

Q: Solve D.E using Exact from first order 2.xy dx +(x² +3y²)dy

A: To solve the given differential equation.

Q: 2) Given: x = t³ + 1, y = t² – t a) Find dy/dx and d²y/dx². b) For which values of t is the curve…

A: The given functions are: x=t3+1, y=t2-t

Q: Solve D.E using bernouliis equation dy 1 y = xy² dx x

A: The objective is to solve the differential equation.

Q: Let f(x) = 2x + 3/3x-2 , g(x) = 4x/3x − 2, h(x) = √3x − 12, F(x) = 3x + 4, G(x) = 2x − 3 a) Find the…

A: Solve question

Q: Example 4 Identify and sketch the curve 153x-192xy +97y2 - 30x - 40y – 200 = 0

A: answer is in step 2

Q: Consider the curve given by the following: r = 4 cos (0),0 < 0 < n . Find the values of 0 such that:…

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Q: Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is given in feet…

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Q: (1 1x +15x* – 17x³ – 6x² + 7x – 4)dx -3

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Q: 7. Given y =x*in*, calculate y'. sinx sinx A) y'=xin* (sin.x Inx + cos x Inx) C) y'=x*inx + cos x…

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

Q: Use the Integral Test to determine the convergence or divergence of the p-series. 1 Σ n4 n = 1 00 1…

A: Solve the following

Q: x' - 4x? 13. By partial fraction decomposition, the integral - dx can be written as (r + 1)°(5x² +…

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Q: Sketch the graph of the following (free hand with size): d) r = sin20 e) r = cos20 f) r = 0 g) r = 3…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

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Q: Let A=[t, t?,0]and B=[1 , t² , 0] and C=[2,t³ , 1] find (ABC)`

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Q: 30 20 10 -10 - 6 4 -2 8 10 -10 -20 30 16

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Q: Q2 / Find the directional derivative of f(x.y.z) 4xy +5xz2 +6yz2 At the point P(3,1,4) in the…

A: ∂f∂x=4y+5z2∂f∂x=84∂f∂y=4x+6z2∂f∂y=108∂f∂z=10xz+12yz∂f∂z=168Therefore, the gradient is∇f (3, 1, 4)…

Q: Find a particular solution y, of the following equation using the Method of Undetermined…

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