Jse the binomial series to find the Maclaurin series for the funct 1 f(x) (1 + x)³ %3D (x) =

Q: Solution of the given differential equation. Assume dy + 30y = 12; dt -30 When y 30t dy !3! dt Thus,...

A: We will find the solution for the given differential equation. 

Q: Find the unit vector of A=3ax+2ay-3az

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Q: Solve the boundary-value problem, if possible. (Assume the independent variable is x. If there is no...

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Q: Find the derivative of the function. F(e) = (9t + 14)2/3 f (e) =

A: Given query is to find the derivative of the expression.

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Please see the below picture for detailed solution. 

Q: A function and its first and second derivatives are given. Use these to find each of the following. ...

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Q: S(x) = Vī – 8 VF f "(x) =

A: Given, fx=x-8x3 We have to find f'x.  

Q: xy'= y + 2x'

A: xy' = y + 2x3xy'-y = 2x3Dividing by x;y' -1xy = 2x2 ...(1)Comparing with Bernouli's equation;y'+P(x)...

Q: 3. Is the function given by Sx-4x-3, メ<5 X-5 メ+1,xM5 continccus at x=52 why cr whynot?

A: topic - limit and continuity

Q: Determine whether the series converges or diverges. In(k) k k = 1 converges diverges

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: 2. A diameter of a circle has endpoints A(0, 4) and B(0, -2). Find its equation in standard form.

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other...

Q: fy re aris Find volume

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Q: create a graph with labels of a function that  satisfies:  have one point where f(x)=-3, at least o...

A: Question- create a graph with labels of a function that satisfies:    have one point where f(x)=-3, ...

Q: Find the derivative of the trigonometric function. f(t) = t° sin(t)

A: To find the derivative of the following problem

Q: 8. . cos*xsinºx dx.

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Q: 1. Given: a2 = 12, a3 = 24 Find: ao =? a. 2 b. 4 с. 3 d.

A: Topic:- sequence and series

Q: 1. Use the definition of a geometric series to rewrite the following series

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Q: The population model given in (1) in Section 1.3 dP = kP dt dP or (1) dt fails to take death into co...

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Q: The standard form of the first order linear differential equation x'y'+ry +2=0is

A: The standard form of a first-order linear differential equation is:

Q: Find the area of the surface generated by revolving the given curve about the y-axis. x = 2y + 3, 0 ...

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Q: 6 for the Use sigma notation to write the Taylor series about x = function. 1 x+5 k =

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Q: Practice: Find the volume of the solids generated by rotating the area bounded with the given functi...

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Q: I. Evaluate the following function below. 3 2 1. S sin'y ( 2 – 3 cos y )´dy 9 3. S sin'x dx 9 4. J c...

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Q: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.) 19...

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Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = xo and then find the nth Taylor...

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Q: Evaluate the integral. In(9 x - 8) dx =| +C %3D

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Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

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Q: Obtain the general and particular solution 3. xcos²ydx + tanydy = 0

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Q: (10xy + 8y - 32y +7)dx+ 2(x +2xy– 4x)dy =

A: To solve the differential equation , I have used the method of exact differential equation and then ...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: In this question we have to find the value of the series and whether the series is converges of dive...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. Σ (-1)*+1 k7/6...

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Q: What is the value of 1/2 x(3 cos(x) + sin(x))dx ? -7/2 Give your answer as an integer or as a decima...

A: Topic:- integration

Q: Which of the following is true about horizontal asymptotes? OAll rational functions have at least on...

A: Find your answer below 

Q: Using the partial fractions technique, the function f(x) = 37x+82 can be written as a sum of partial...

A: ∫37x+82x2+2x-24 dxConsider 37x+82x2+2x-2437x+82x2+2x-24=37x+82(x-4)(x+6)37x+82(x-4)(x+6)=Ax-4+Bx+637...

Q: ollowing functions: b) y = (cos x)Vx*

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Q: Car A is traveling west at 50 mi/h and car B is traveling north at 60 mi/h. Both are headed for the ...

A: topic - application of derivatives

Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 3 + cos? X

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Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos(0) – sec(0) s...

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Q: Evaluate the integral. 15e cos(2x) dx +C NOTE: Enter the exact answer.

A: This question is based on indefinite integral.

Q: What is the value of 7/2 x(3 cos(x) + sin(x))dx ? 7/2 Give your answer as an integer or as a decimal...

A: Given I=∫-π2π2x(3cos(x)+sin(x)) dx To evaluate the Integral I :

Q: k(k +7)

A:

Q: Q2) Show that y = 35 x* – 30 x2 +3 satisfies ( 1- x² )y" – 2xy' + 20y = 0 %3D

A: y =35x4 - 30x2 +3 satisfy (1-x2)y" - 2xy' +20y =0 for this wew find  y" and y' y' = 140x3 - 60x y" =...

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent va...

A: Given query is to find the derivative of the expression.

Q: Find the amplitude, period, and horizontal shift of the function. y = -3 sin(6(x +)) amplitude perio...

A: Given query is to find the period amplitude and the horizontal shift.

Q: Determine whether the alternating series converges. k + 1 E(- 1)*+1. 3k + 1 k=1 O The series diverge...

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Q: k+2 k=1 The series diverges.

A: To find rhe sum of series

Q: Find the radius of convergence and the interval of convergence. 80 (x+ 6)* k=0 Radius of convergence...

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Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y...

A: Solution is written in below steps.

Q: Solutions of differential equations: y' = sin x O y = - cos x +c O y = cos x + c %3D

A: