Expand $it) in Fourier series in the interva) (- 2, 2) when fit) = -2st

Q: Given the function f(x) = x?e%z, Determine the open interval(s) where the function is concave up Det...

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Q: 1. Determine whether the series converges using any appropriate test. Identify the test for converge...

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Q: 12x2-5x+7 lim x++00 V9x²–7x+13

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: Let m and n be positive integers and a+ 0. Using partial integrals, show that 1 x"ea# dx = -x"eª* n ...

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Q: Consider the following functions. f(x) g(x) = 3x + 9 Find (fo g)(x). Find the domain of (fo g)(x). (...

A: Here f(x)=2/x and g(x)=3x+9 (1) (fog)(x)=f(g(x))              =f(3x+9)              =2/(3x+9) The fu...

Q: S125 – 2² 18x? Evaluate the integral: -dx 25 – x² (A) Which trig substitution is correct for this in...

A: ∫18x225-x2dx

Q: Q5: Find the domain and range for:- (Answer two only) (2) F(x) = 1 + x?

A: This is a function problem

Q: 3. Evaluate

A: The given integral is 1/(x-1)2/3 limit from 0 to 3.

Q: 'ind the average rate of change of h(t) = 3 c on t-3 [1,1+ h]

A: Topic:- calculus

Q: S sinrdr In(cosr – 3) ° cosr -3

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Q: Find the length of the arc of the curve y = In x over the interval: [1, 9| . Round the answer to fou...

A: This is a question related to derivative of the function. Based on the general formula we will find ...

Q: Two concentric circles centered at O with radii r and R(r < R) are given in the picture: R What can ...

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Q: -5 -4 -3 -2 -1 2 3 4 5 -1 -3 17x the above rational function f( x ) = identify its three infle 1.5x2...

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Q: Simplify: 1+ cos 2x. 2 cot2 x

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Q: 1 7. lim 3x8 (x5+ (2х-3)3 х-+00

A: To evaluate the given limit. limx→+∞1x5+2x-333-3x8    

Q: dy Use implicit differentiation to find if tan'(ry + y) = x. dx dy dx

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Q: Which of the following series converges and which diverges? Find the sum of the convergent series. 0...

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Q: (즈,-2)] ww m ie equation for this functic

A: topic - trigonometric equations

Q: After t days of advertisements for a new laundry detergent, the proportion of shoppers in a town who...

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

Q: -2 The function graphed above is decreasing on the interval The inflection point is at x = on 2-

A: Solution: Clearly by graph we can observe that  

Q: A water reservoir has the shape of a right circular cone with its circular base of radius R = 160 m ...

A: General formula for volume of cone, V= (Pi* R^2 * H)/3

Q: У(4х + у)dx — 2(x2 — у)dy %3D0 - -

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Q: Q2: Use Cramer's Rule to solve the system:- 4x – y + z = -5 2x + 2y + 3z = 10 5x – 2y + 6z = 1

A: Given,            The system of equations are             4x-y+z=-5             2x+2y+3z=10         ...

Q: Find the average rate of change of the model from 2003 through 2008. Interpret your answer in the co...

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Q: If f(x) = 9a'm(z), find f'(9).

A: This is a basic differentiation problem

Q: Find the extreme values of f(x, y) = x² + y² + 4x – 4y inequality x? + y² < 9. on the region describ...

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Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed fro...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Use Simpson's Rule with n = 4 steps to estimate the integral. 3 3

A: To estimate the integral ∫025x2dx with n=4. Formula used: ∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+f...

Q: kdt, where k is constant k A True B) False

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Q: DO NOT include spaces in between characters. * Determine the point/s of discontinuity, if there is a...

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Q: -4 -4 At the point shown on the function above, which of the following is true? Of' 0 O f' > 0, f''...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Find the arc length of the curve x = –3y3/2 from y = 0 to y = 10. Length =

A: To find the arc-length if the curve x=-3y32 from y=0 to y=10 Now, the formula for the arc-length is:...

Q: Let F = (3x, 3y, 6z). Calculate div(F) and curl(F). (Use symbolic notation and fractions where neede...

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Q: Calculate the Taylor polynomials T;(x) and T3(x) centered at a = 8 for f(x) = In(x + 1).

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Q: csc5x cot5x dx A csc 5x B -csc5x 3 -csc5x 3 D csc5x E None

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Q: 1. Write the improper integral which is represented by the following limit. lim C2" 2x dx x2-4 2. Sh...

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

A: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

Q: dx 1+ cos x + sin x

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Q: 27 for fC ), Obtain Fourier series of period where flx) = メ -下SYくO oく*くて

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Q: Evaluate: A 4e“+C B +C +C D 4 +C (E) None

A: option D integration

Q: 1. Kgothatso showed her classmates that dx%3D (x- 1) Without showing Kgothatso how you would evaluat...

A: 1.AgreeGiven Integral can be evaluated with the formula :∫yndy =yn+1n+1here y =x-1 , n=-23   

Q: Find the derivative of the following exponential and logarithmic functions: (i) ecosx-sinx ii. In(3x...

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Q: | (x + cos? x) dæ + | (2 – sin? 2)dæ =? - 0, 3

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Q: 00 k k +1 k=0

A: Leibnitz's test: Let ukk∈Nbe a monotonic decreasing sequence such that limk→∞uk=0 Then the series ∑k...

Q: 1 Σ m=1 n(1+ In*(n) 2(n).

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Q: Give an example of a geometric series whose sum is T (recall that geometric serie begin with = = 0).

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: a4 +dy: - +C Ina A) True В False

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Q: Write an equation for the line parallel to y : – 3x + 3 and passing through the point (4,-16) y =

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Q: (a) D = (x + z)a, (b) E = (y² – x³)a, + xyza, + (x² – z?)a.

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