Q "- The value of e-(in+1)n is а) (-1)" e-я-1 b) (-1)"e" c) (-1)" e-*+1 d) (-1)" e- Q2 The period of the function y = A sin nx where n, and A are a positive integer is--- d- 2n/n а- 2л b- 2n/A C- A

Q: 16. How many terms are needed to approximate 2(-1)"+1 (÷) with an error of less than 0.001?

A: The given alternating series is: ∑n=1∞(-1)n1n4 Let, an=1n4

Q: d d. dx tan(t)dt

A: Leibnitz Rule of differentiation :     ddx ∫α(x)β(x) f(x,t) dt = ∫α(x)β(x) d(f(x,t))dxdt +dβ(x)dx…

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A: answer is in next step

Q: Evaluate the following integral. 2x +5 dx - 2 Le 2x+5 dx = (Type an exact answer.) - 2

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Q: Simplify the following expression. dt dx 2+1 dt .2 dx t +1 0.

A: In the given problem first we integrate the given integrand and  then differentiate the integral .

Q: / (22* + 3,/5 +) Calculate the indefinite integral: dz

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Q: Given a = 2t – Int and y = t² – In t, find the following. A) Determine the derivative in terms of t,…

A: Explained below

Q: (3) In 2014, the United States Postal Service charged $0.48 to mail a first-class letter weighing up…

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Q: (x+3)° 3. Use logarithmic diffrentiation to find the derivative of y' =- (1+2}(r+4}

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Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: 2. If f(2, u) dA 10, where D is the triangle with vertices (0, 0), (2,0), and (2, 3), then the…

A: To find the average value of the given double integral.

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: The given linear system,x+z+2w=7y-2z=-5x+2y-z=-32x+y+3z-2w=0

Q: In calm waters, the oil spilling from the ruptured hull of a grounded tanker forms an oil slick that…

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Q: 8. Given, h(x) = 2 – x and g(x) = -x²+ 4 a) Plot the two functions on the same graph for -2 < x <4…

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim (x + Ax)² – 4(x + Ax) + 9 – (x² – 4x +…

A: In this question we can find limit.

Q: Evaluate the following integral. cos x dx -6x 1 sin 2x dx 2 - 6n O C. dx + cos 2x dx OD. dx + - 6x 6…

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Q: Webkasign. Graphing Tool Solve the system. (f there is no solution, enter NO SOLUTION. I the system…

A: we have to find solutions

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 2 meters per hour…

A: We need to find rate of change of area.

Q: that F(x) = f(t) dt, where V6 +u f(t) = du. и

A: We have to find out solution

Q: A roctangular tonk uith a cauaro boco and a volumo of 2.016 e3 dimoncions of tho tank that hac 1o…

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Q: A particle is moving with acceleration a(t) = 6t + 16. its position at time t = velocity at time t =…

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Q: Find the differential dy of the given function. Xx + 5 y = 2х — 9

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Q: 4 -3 -2 -1 1 2 3 Q 19 For the above rational function f( x ) = identify the interval on which f is…

A: The given function is:…

Q: The solution of the differential equation below is dy = ky dx %3D

A: Given query is to find the solution of the differential equation.

Q: Draw the region R both in the x − y plane and in the u − v plane. 2. Invert the system writing the…

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Q: C(0, 1) B(1, 1) y = Vx R2 R3 y=x' A(1, 0) Referring to the figure above, find the volume generated…

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Q: Find the area of the "triangular" region in the first quadrant that is bounded above by the curve y…

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Q: The graph of the velocity (in km/h) of a car that is accelerating is shown in the figure, where t is…

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Q: f(0) =| f'(0) f"(0) T | ||

A:

Q: Consider the functions. f(u) = u° + u g(x) = cos (x) Find the following function and derivatives.…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Find the general solution: 9y" + 12y' + 4y = 0. 5.

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Q: Solve the initial value problem. dy + 9xy = 4x, y(0) = - 3 dx

A: This question is related to differential equations, we will solve it using given information.

Q: 11. Solve the second-order differential equation y" – y' – 2y = 20 cos x using the method of…

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Q: Determine whether the geometric series is convergent or divergent. n=1 convergent divergent If it is…

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Q: Determine whether the function is continuous at the given points. x+2 if x22 : 2,0 x if x<2 f(x) =…

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Q: 10. Find the unique solution of the second-order ivp: y" + 16y = 0, y(0) = 2,y'(0) = -2

A: answer is in next step

Q: How many distinct solutions does the following equation have? I1+I2+I3 +24= 100, such that %3D I E…

A: To find the distinct solution of x1+x2+x3+x4=100 Since, x1∈{1,2,3..},x2∈{2,3,4,…},x3,x4∈{0,1,2,3,…}…

Q: Find the linear approximation of f(x) = Vx at xo = 27.

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Q: Find the absolute extrema of the function on the closed interval. t2 g(t) = 7 (-2, 2] 1. t2 +…

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Q: Find the general solution of the second-order differential equation: 4y" – 4y' + 13y = 0.

A: We have to find the solutions

Q: J-4) dx. Use the definition of the definite integral to evaluate

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Q: Determine whether f(t) is continuous, piecewise continuous or neither on [0, 10] and sketch the…

A: Here, the given function is: f(t)=tt2-1 The function is not defined at x=1.

Q: 5) Find the value of the infinite geometric series. a) 500 - 100 + 20- 4+...

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Q: pose g is a function which has continuous derivatives, and that g(5) = -3, g' (5) = 3, g"(5) = –1,…

A: We have to taylor polynomial of degree 2 and degree 3.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to xx or…

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Q: Compute f(x)dx f(x) = { 2x if x 1

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Q: f(x) = cos(x) g(x) = x' + 1 Find f(g(x)) and g(f(x)). (Use symbolic notation and fractions where…

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Q: d²y Solve the ivp differential equation: dx² +y = e2*; y(0) = 0, y'(0) = { %3|

A: Given d2ydx2 + y = e2x;  y(0)=0,  y'(0)=25

Q: Find the area of the parallelogram that has two adjacent sides u = -2i + 4k and v =i +2] +k Axn pu…

A: We will find the cross product and area.

Q: Determine the vector equation and the Cartesian equation of the plane tangent to the surface: z = x3…

A: The given equation of the surface:z=x3-y3which can be written as fx,y,z=0, wherefx,y,z=z-x3+y3.We…