From Rogawski ET 2e section 10.2, exercise 36. Use the formula for the sum of a geometric series to find the sum or state that the series diverges (enter DIV for a divergent series). 25 16 +1+ 4 64 +. 125 16 25 S +

Q: Eliminate the constant 'a' from the equation (x – a)2 + y? = a² O (x? - 2y)dx + 2xydy = 0 O (x2 -…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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A: The given series is ∑k=0∞-16k. To check convergence of the series we use ratio test. Suppose we have…

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A: A vector v with given magnitude in the direction of u is given by v.uu.

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A: Explanation of the answer is as follows

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A: I=∫-∞∞e-x23dxI2=∫-∞∞e-x23dx∫-∞∞e-y23dyI2=∫-∞∞∫-∞∞e-x23e-y23dAI2=∫-∞∞∫-∞∞e-x2+y23dA

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A: Let's find.

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Q: The sum of the geometric series 1 3-1+ 3 1 + 9. 1 +- 81 - 27 is: none 13 914 OO O

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A: Given dEdt=25-8t To find E(t):

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11

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A: Solution )  s(t) = t3/3 - 8t2 + 28 t  Differentiate with respect to t   v (t) = s'(t)  = 3t2/3 - 8×2…

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A: Polar form

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A: The given function is continuous.

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Q: 4. Given that ! n+1 0.47199 determine the value of " +1

A: Here we have to find the given value.

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Q: cos (4x)dx

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Q: (b) Determine the by using the Chain rule with the following information: z = cos (x"y^) – sin (z +…

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Q: Sketch the region R of integration and switch the order of integration. f(x, y) dx dy 5- 5- 3 2- 1 3…

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Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); fi-) U =

A: we can solve this as follows:

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A: a) y=14xsin(x)Differentiatey'=14sin(x)+14xcosxSubstitute x=π2y'=14sinπ2+14π2cosπ2y'=14+0y'=14Slope…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D %3D v (0, 6) %3D b =

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Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros,    4multiplicity 2, -8

Q: Consider the series (z – 9)6, (z - 9)8 E4. = (2 - 0)2 + (- 9)“ E, = (z - 9) + +... 3- 2! 9.3! 27- 4!…

A: This question can be solved using the concept of general term of series.

Q: 1 ut du. 8 13

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Determine how many terms should be used to estimate the sum of the entire series with an error of…

A: Use the  Alternating Series Estimation Theorem and solve the problem.

Q: dx x2 + 6x + 25

A: This question is based on definite integral.

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Q: Using the Maclaurin series for arctan(x), find the Maclaurin series for the given function. f(x)= -7…

A: Maclaurin series of arc tan (x)= ∑k=0∞ (-1)k x2k+1(2k+1).

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A: Given: The graph shows the estimated number of milligrams of a pain medication M in the bloodstream…