Given the differential equation dy + 9ху%3D6ху3 dx

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: (a) Find a function that models the populationt years after 2000 (% for 2000). Your answer is P(t) =...

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Q: Determne whether the hamit exitis or not when a)x3 and b) x→ -3 x²-9 when x< -3 F(x)= 9-x² when -3< ...

A: Limit exists if, LHL = RHL Limit does not exist if, LHL≠RHL

Q: 'd = kt kdt A True B B False

A: Let's find. 

Q: dy if tan (xy + y) = dx = x. %3D Use implicit differentiation to find dy dx

A: We know,  d/dx (tann x) = ntann-1 x.sec2x d/dx(y2) =2ydy/dx by Implicit Differentiation. 

Q: (secx-2)dx cosx cotx cosx cotx B secx - 2 (secx - 2) 5 D) None A.

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Q: Solve the differential equation y'+xy=0 using power series.

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Q: x + 3x + 4x + 1 dr (x2 + 2x + 2)²

A: Given ∫x3+3x2+4x+1(x2+2x+2)2dxPerform partial fraction decomposition=∫x+1x2+2x+2dx-∫1x2+2x+2dxNow so...

Q: B01OW is a graph of VCF) , me VOlOGIry Of an Obicot ovor timċ. OCScrioc me acceicrarion oe th& obj G...

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Q: e 3* (2e 3x – 1) dx (e6x – 2)4(e3* + 1) + A 2e 3* – 1 | бх B 2e Ox – e 3x © (e3r_2)4 D D (e3+1)+ E e...

A: Please see the below picture for detailed solution. 

Q: (х +у—4)dx — (х — у + 2)dy %3D0 -

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Q: dy ||

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Q: Calculate the integral

A: Required formulae: ∫exdx=ex+c , c = integration constant∫abexdx=[ex]ab=eb-ea

Q: x? 2. dx x? +9

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Q: Detemine the x- values at which, g(x)= 2x-3x²+x 2x3+5x²-3x is undepined. Evaluate the limit ac x=8 u...

A: To find: The value of x at which g(x)=2x3-3x2+x2x3+5x2-3x is undefined also evaluate the limit as x=...

Q: 5) For p > 1, the root test applied to Ln=1 nº is inconclusive (C). 5.

A: Given

Q: Find the angle 6 between the vectors. u- (1, 1, 1), v- (5, -4, 3), radians

A: Angle between the two vectors can be found by applying dot product of two vectors.

Q: Q5: Find the domain and range for:- (Answer two only) (1) F(x) = V5x + 10 (2) F(x) = 1+ x? x2+1 (3) ...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: Find the derivative of the following functions using the definition of the sine and cosine function....

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Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then factor the...

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Q: QI/Correct the following items, enhance your answer with a mathematical proof for each item. 1- cosh...

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Q: e Does the series E converge or diverge? 8n n=1 1+ e

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Q: 1. Use f(x) = x - x² +: +x and g(x) = 2f (x+1)+3 to do the following: a) Obtain a graph of fx) using...

A: As per the bartebly guidelines one question having 3 subparts are only to be solved. Please resubmit...

Q: Evaluate: 3 +4dy

A: ∫ 3y3y+4dy  

Q: 24. Maximizing Area A wire 10 cm long is cut into two pieces, one of lengtn other of length 10 - x, ...

A: First of all we need to find the function for total area of squares. Then for minimizing need to fin...

Q: Suppose f'(x) is continuous over an interval a < a < b, and a <c <d < b. If f'(c) = 9, then (check a...

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Q: An inverted conical water tank with a height of 6 ft and a radius of 3 ft is drained through a hole ...

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Q: Evaluate. x - 1 dx 9 x + Va if b > 4, find b² + 36 +5

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Q: Integration is the reverse process of differentiation.

A: Given,            Integration is the reverse process of differentiation.To find : State true or fals...

Q: 3lnx +2x*dx A 3lnx B 2r4 D 3lnx+2x+ E) None

A: The given integral is  ∫e3lnx+2x4dx

Q: 2sin(e²^) cos(e²") dx, we let u=e2 To evaluate A) True B) False

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Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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Q: dx 1+ cos x + sin x

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Q: Given the differential equation dy „4x + 3y dx Separate the Variables, and then find the General Sol...

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Q: To determine To find: The value of lim ( - →5 12-41-5 6(1-5)

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

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Q: set S = {1,2,3}, set T = {10,20,30}, set V = {a, e, i, o, u} function g: S T g(1) = 30, g(2) = 20, g...

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Q: Given the General Solution y = ke-0.08x2 Find the value of "k" given the condition (-3, 580). A) k =...

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

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Q: Find the derivative of the function f(x) = V(a3 + 7x) by using the definition %3D of the derivative.

A: Let's find. 

Q: a eしの-cosょ)=(xtSinle) dx X+8inle 4. Consider a cone-shaped tank that is 4 feet tall and whose rim is...

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Q: 3lnx +2x*dx A 3lnx B 2r4 | 3lnx + 2r4 D E None

A: To evaluate ∫e3 ln x +2x4 dx.  

Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y² + z...

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Q: Evaluate the integral of cosh2x(sinh 2x)^2 dx

A: ∫cosh2xsinh2x2dx  

Q: Direction: I. Determine whether the series converges using any appropriate test. Identify the test f...

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Q: Expand $it) in Fourier series in the interva) (- 2, 2) when fit) = -2st <o %3D 1.

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

A: B) False   

Q: Let the demand function for a product be given by the function D(q) = – 1.55g + 300, whe items in de...

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Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. T/6 2 ...

A: Find your answer below 

Q: Find the f and fy of f(x, y) 2x'y+ x sin y O If f(x, y) = x'y - xy, find + av O If v = sin- (2) + ta...

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