Let -1 < a < 0 0 < x < 1 1, f(x) = Expand f in a Fourier series. Sketch at least two periods of the graph of the Fourier series.

Q: Find the solution of the differential equation that satisfies the given initial condition. dy y(0) =...

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Q: 1. Describe the graphs of the equation (a) r2 = cos 20 in cylindrical coordinates. %3D (b) p= sec o ...

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Q: For which value ofx is the derivative of f(x) = (x+ 1)*(x+ 3)* equal to 0? -3 c. 1 d. 3 a. с. b. 0

A: Here we have to determine for which value of x is the derivative of f(x)=(x+1)8(x+3)4  

Q: X+3 is x² -9 The y-intercept for the function f(x)= O (0, -3) 0, O (0, 3)

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Q: Determine the Fourier cosine series expansion of f (x) = sin(r2) – cos(Tx) on the interval [-1,0]

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Q: se separation of variables to find the general solution. (Use C for the constant of integration.)  ...

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Q: If y = sin (4x - 5), then what is y' a. y = 4 cos (4x - 5) b. y 3 сos (4x - 5) C. y' = -cos (4x) d. ...

A: In this question  we have to solve the given statements. NOTE: As per our policy we are suppose to d...

Q: If a and B, are two angles in standard position in Quadrant II, find sin(a - B) for the given fun 5 ...

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Q: Find the values of A, so that the function F (x) = {1-3x                         x 4    is continou...

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Q: Determine where, if anywhere, the function f(x) = x3 + 9x2 − 48x + 2 is not changing.

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Q: 7. Three pipes, each of radius 4 in, are stacked as shown. What is the height of the stack? 1911 EDI

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Q: 6. Find the exact solution of each equation, no decimals. Do not use a calculator and find the domai...

A: Given problem:-

Q: Differentiate the function. t(t? + 1)4 V2t – 1 g(t) = In 5

A: Given  g(t) = lntt2+142t-15g'(t) = dlntt2+142t-15dtg'(t) = 1tt2+142t-15×dtt2+142t-15dt              ...

Q: Point Q, expressed in spherical coordinates, is (V2, -5, :). What are the Cartesian (rectangular) co...

A: NOTE: Refresh your page if you can't see any equations. . the given spherical coordinate is  so we ...

Q: n/4_sec²x a. Jo dx 1-tanx

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Q: Differentiate the function. t(t? g(t) = In + 1)4 5 2t – 1 g'(t) =

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Q: 3. Given the following piecewise function (x² – 4x – 5, x # -3 13 – x, x = -3 f(x) = Determine the v...

A: As per the company guidelines we are supposed to answer only the first three subparts.Kindly repost ...

Q: 16 Fill in the blanks. Non-vertical lines have ___________________ slope. Decreasing lines have ____...

A: for vertical line there are no slope  and for non vertical line we cant say about slope because it i...

Q: What is the slope of the line illustrated in the graph below? round to the nearest hundredth.)

A: NOTE: Refresh your page if you can't see any equations. . choose any two points from the given line

Q: Use the divergence theorem to find the outward flux of the vector field F(x,y,z) = 5x^2i + 4y^2j + 3...

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Q: 2x – x3 da. = |- In(x – 1) + | Ftan-1(x)| + с Given: + J (x – 1)²(x² + 1)' 2(х-1) 2 2x – x3 determin...

A: Find your answer below 

Q: Find the solution to the differential equation y' =    2y satisfying y(0) = 18.   y(t) =    b). F...

A: Topic:- differential

Q: 3. Find a fundamental matrix for the following system. Then find a solution satisfying the giving in...

A: Explanation of the answer is as follows

Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex

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Q: using laplare definstui fud

A: Find the Laplace transform

Q: tanwdw The is equal to 1 – tan?w A. In (Vsec2w) + C B. In (Vsec2w) +C C. In (Vsec2w) + C D. In (Vtan...

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Q: (a). Determine whether the Mean Value Theorem applies to f(x) = sin-1x on [0, ]. (b). If so, find th...

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Q: 5a) Using the formula man = lim+)=/G2 determine the derivative/ slope of tangent for h→0 the given f...

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Q: 11/4 x 2 2/5 ÷ (11/4 + 21/12) =

A: The given expression,       114×225÷114+2112

Q: 1. A sphere is inscribed in a right circular cone whose slant height has a length equal to the diame...

A: I am attaching image so that you understand each and every step.

Q: y=(x^1/2)^7x find y'

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Q: 21. sin x dA, Dis bounded by y = cos æ, 0 < æ < 7/2, y = 0, x = 0

A: Solution of the above question is given by

Q: Use logarithmic differentiation to find the derivative of the function. X - 5 y = x° + 5 .8

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Q: Find: Find lim           X2 + x-5        x - ∞        1 -2x - x3 Thanks

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Q: 43 Explain in detail with at least two sentences how to represent the difference of z1 and z2 geome...

A: Given data ÷ Z1=8 - i and Z2=-9 + 2i

Q: rior to the circle Find transformation which maps outside| z | = 1, on the half plane R (w) 2 0 %3D ...

A: Given transformation which maps outside z=1 on the half plane 

Q: a. Use the definition m,an = lim f(x) - f(a) to find the slope of the line tangent to the graph of f...

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Q: . Use a tree diagram to write out the Chain Rule for the R= f(u,v, w), where u = u(p,q,r, s), v = v(...

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Q: Convert each degree measure into radians. 13) -780° 14) 345° 15) 150° 16) -250° Convert each radian ...

A: As per guidelines we can answer we can answer only one question at a time, so question no 13,14,15 a...

Q: What is the second derivative of y = 6x+ – 3x³ + x2 – 5 a. y" = 24x3 – 9x2 + 2x b. y" = 144 C. y" = ...

A: As per guidelines we will solve only  the first question  in the following step. If you want more an...

Q: 4. Use the method of undetermined coefficients to find a particular solution to the system below. Pr...

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Q: - Apply the eigenvalue method to find the general solution of the given system. Find also the corres...

A: Find your answer below 

Q: VAT4 : then what is dy2 x+4 dx dy а. 4x(x +4) dx dy 4Vx +8 dy = 8 Vx + 4 b. dx C. dx dy d. dx 4(x + ...

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Q: If 0 is a first quadrant angle where P(u, v) = (-1, -2), tan 2 5 + V5 5 - V5 5 - V5 5 + V5 5 - V5 5 ...

A: here tanθ/2 =+ 1-cosθ1+cosθ so here x= -1 and y= -2  so from right angle  uv = 5 so cosθ = -1/5 ta...

Q: A curve is described by the equation in polar coordinates r = 4 cos² 0. Determine r(0) and dr 57 whe...

A: To find the first solution, just use the trigonometrical identities and easily find the required sol...

Q: 3x²–10xy+3y²–32= 0 Rotate the axes so that the new equation contains no xy term. Analyze and graph t...

A: Given .  Equation 3x²-10xy+3y²-32=0 Let's assume that axis is rotate an angle theta. So new coordina...

Q: - 2y +y-0 if y(0) - 3, y (0) 0.

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Q: For the graph, calculate the following quantities.  1) y'(5) if y(x)=f(x)g(x) 2) y'(2) if y(x)=((f...

A: Given the graph 

Q: f(x+h)-f(x) determine the derivative/ slope of tangent for = lim h→0 h -1 2x 5a) Using the formula M...

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Q: The degree of the derivative of f(x) = (3–x)'(x – 12)° is

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