1 10. Determine by the root test if Ln=1 converges or diverges. (In(n+1))“

Q: Identify the graph of the curve by first sketching the graph of r as a function of 0 in Cartesian…

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Q: Express the following sums using sigma notation. a. 4 + 5+6+7+8 b. 6+ 12 + 18+24 +30 +36 c. 12 +22 +…

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Q: taylor LnX

A: Taylor series:  fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+..... Where centered at x=a.   Given; fx=lnx…

Q: Write the sum using sigma notation: A 7+ 10 + 13 + 16 + ...+ 49 = > B, where n=1 A B =

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Q: Either show that the improper integral converges and find its value, or show that it diverges S* the…

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Q: Solve the equation .11 y" + 3y' + 2y = x2

A: We can solve the given differential equation by using the method of undetermined coefficients.

Q: From Rogawski ET 2e section 8.4, exercise 1. Calculate the Taylor polynomials T2(x) and T3(x)…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Se* tant e*dx

A: This question can be solved using the concept of indefinite integral.

Q: s being pumped into a spherical ballo nge of the radius when the radius reac

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Q: Find the exact area of the surface generated when the curve f (x) = /5 – x on the interval 3 <x < 5…

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Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply &amp; divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)

Q: A company has the following production function for a certain product P(x, y) = 27 x0.3 y0.7 . Find…

A: Given: So,        Px=∂ ∂ x27x0.3y0.7Treat y as a constant     =27y0.7∂ ∂ xx0.3     =27y0.7·…

Q: The future value at 5.25% interest, compounded continuously for 7 years, of the continuous income…

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Q: G(x) = Si tan t dt Find G(1) = Find G'() =

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Q: ind the limit. 11 lim x x-1* /hat must be done to put the given expression in a form to which…

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

Q: Solve the equation .11 y" + 3y' + 2y = x2

A: Given, y''+3y'+2y=x2 First let's find the Complementary function Re-writing the given equation as…

Q: The volume of the solid obtained by rotating the region enclosed by y = x², x = 2, x= 3, y=0 about…

A: We have to find the volume of the solid.

Q: Given the curve y = x' and the line y = 2 – x . M. Find the moment of R with respect to the x-axis…

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Q: Given a, b e Z, 6 7 0, consider the following affirmations regarding Euclides's algorithm: i) There…

A: We want to choose the correct option.

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at æ = 7 for f(x) = 1+z T2(x) must be of…

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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: Given that Vf(15, -6) = 4i – j, find the directional derivative of the function f at the point (15,…

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Q: Evaluate the integral. (Use C for the constant of integration.) | 1923e dz

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Q: Plot the point whose polar coordinates are -3, In the graph below, use the 4. options to change the…

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Q: Solve the equation (x^4 + 2y)dx - xdy = 0

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

Q: Assume that the recursively defined sequence converges and find its limit. 10a a, = 10, an+1 (Type…

A: Use limit concept

Q: This equation is an example for linear equations dy dx False O True O

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Q: Rewrite the following Cartesian equation as a polar equation using the variables r and 0. To input 0…

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Q: H.W. Solve the fallowishg first order OE -3= \-yャメ- %3D y3 5-0 J2. Sinx

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Q: This matrix is a * 0 4 4 0 4 0 0 zero matrix O

A: Solution : The given matrix is

Q: Function Operations, Adding and Subtracting Given the function f(x) = 2x – 5 and the function g(x) =…

A: topic- functions

Q: 2. S tane sec4 0 d0

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Q: 1 5. Determine by the limit comparison test if Zn=2 converges or diverges. Vn-1

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Q: Use the power series Σ 2(-1)^x^, \x| < 1 1 + x n = 0 to find a power series for the function,…

A: Leibnitz Alternating series Test :  Suppose that we have a series ∑(-1)n an where , an≥0 . Then if,…

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: If Væ + Vỹ = 9 and y(1) = 64, find y'(1) by implicit differentiation.

A: Solve the following

Q: f(x) = lnx/sqrt(x) Find interval of increasing/decreasing: Local max and mix values:

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Q: 1. It is a list, or an array of numbers arranged in a definite order. a. ordering C. arrangements d.…

A: Ans 1.       A sequence is a set of numbers  arranged in a definite order. and the numbers in the…

Q: (Use decimal notation. Give your answer to three decimal places.) rate: 1.2 m/s

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Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)" 6n + 1 n = 1

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Q: 2. Solve the following initial Condition Problems: dy а. dx Vry, y(1) = 2. || b. y' = x + y, y(0) =…

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Q: Solve the integral using wallis formula.

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

Q: * The solution of the differential equation below is dy = ky dx %3D x = eky y = ekx Option 2 O…

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Q: Find the equation of the tangent line to the curve y = e' when it is paralel to 2r-y =7.

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Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) If y" +y = 2x…

A: We have to answer following Questions.

Q: The radius of a circular oil slick expands at a rate of 4 m/min. (a) How fast is the area of the oil…

A: To find the da/dt

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: We will  use concept of integration to solve this. In particular disc method  will be used.

Q: Describe the given region in polar form a.) b.), 1 1 2/3

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Q: f(Tn) for For the function f(x) = tan(r), write Newton's formula as Tn+1 = F(xn) = In [(").f solving…

A: Find your answer below