The terms of a series are defined recursively by the equations Select the correct answer. a₁ = 4 +1² = Determine whether a, converges or diverges. Oneither O converges Odiverges 6n +1 5n+3 dn

Q: L4Q10.The first term of an arithmetic sequence is 11 and the second term is 16. Find the common…

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Q: The first term of a geometric sequence is 25 and the second term is 50. Find the common ratio. A.0…

A: topic- geometric sequence r=common ratio=an+1an

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A: As per our guidelines we only solve one question (1st question) and rest of the question will be…

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A: We need to find volume.

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Q: Q3. Change the order of integration and evaluate * * dy dx.

A: To evaluate ∫04∫0xdy dx using the change of the order integration. From the limit of integration the…

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A: We have to find the derivative.

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A: The given data is: The value of a $30,000 over time is modeled by the function v=300000.83t To find:…

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Q: Find the derivative of the function f(x) = (3x² – 2x³ O f'(x) = (12x³ - 6x²) ³/2 f'(x) = O 3 f'(x)=…

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Q: Determine all values of x at which the function f(x) O discontinuous at -1 and 1 O discontinuous at…

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Q: Prob. 5 (a) () Find all points where f is discontinuous. Classify these points (if any) as removable…

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Q: Solve the given initial-value problem. dx dt x(t) = y(t) = = -11x - y dy = 25x - y dt x(1) = 0, y(1)…

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Q: S x²-x +2 -X X³ + 4x -dx

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Q: when

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Q: The side of a square is growing at the rate of 5 centimeters per second . Find the growth rate of…

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Q: Use the estimate |RN| ≤ b + 1 to find a value of N that guarantees that the sum of the first N terms…

A: Using the concept   RN≤bN+1 to find the value of N terms of the following series.          For  bn…

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A: We know that integration power rule is  Integration of xn is xn+1/n+1.     Here i attached the…

Q: f(x) = 5* g(x) = log5 (²²= 4) Find (fog)(x) and obtain its domain. h(x): - 6 <- x 2x-5

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Q: IV. Determine whether the following series converges or diverges. Show your complete solution. +∞o…

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Q: L4Q15. In a display, there are 50 toys in the first row, 45 toys in the second row, and so on in an…

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Q: L4Q12. Write an explicit formula for the sequence: - 2, 2, 6, 10, ... A.an = - 2 + 4n B.an = - 6 +…

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Q: Lotteries In a New York State daily lottery game, a sequence of four digits (not necessarily…

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Q: Consider the points below. P(1, -4, 5), Q(-1, -2, 3), R(4, 1, -3) (a) Find a nonzero vector…

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A: Given the query is to find the price to maximize the revenue.

Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: 6 5 4 3 2 I | y = f(x) 1 1 01 2 ? | 3 4 | 1 + 5 6 7 1 X 89

A: Topic- limits

Q: State the equation of f(x) if D = {x = R] x * f(x) f(x) f(x) f(x) = = = 2x+1 3x - 2 x + 1 3x + 2…

A: Topic = Functions

Q: 9 outside cardioid r = 1 + cos 0 inside circle r = 3 cos ( 10 lemniscate ² = 4 cos 20 outside r = =…

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Q: IV. Determine whether the following series converges or diverges. Show your complete solution. +00 3…

A: To determine whether the following series converges or diverges.∑n=2+∞ n4-234n3+5

Q: dy X 1. Choose the appropriate table for the differential equation dx x-2 O X dx 0 0.5 2 0 1 3…

A: Given differential equationdydx=xx-2

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A: Consider the function

Q: L4Q16. The first term is 4, and the explicit formula is Tn = a + 5(n - 1). Find the 7th term of the…

A: The first term is 4, and the explicit formula is Tn = a + 5(n - 1). Find the 7th term of the…

Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

A: Given-

Q: Find the length of the dashed zig-zag path in the following figure. 34 0.75- 0.5+ 0.25+ 00.25 0.5…

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Q: 5. Solve lim (x + e²a)1/a. Show complete solution. The following may be useful: x-0 ● ● lim ƒ(x)9(x)…

A: The given limit is: limx→0x+e2x1x   So, the given limit is in the form of limx→afxgx. Where,…

Q: Calculate the derivatives (f(g(x)))' and (g(f(x)))' if f(x) = x² g(x) = 1 8x + 1 (Express numbers in…

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Q: Let f(x) = { 8x6 if x 10 If f(x) is a function which is continuous everywhere, then we must have b=

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Q: Find the angle between the vectors. (First: v = -21 exact u = i- 6j + k, approximate xx x +

A: topic:- vector algebra

Q: Question 1 [ Use the method of Lagrange multipliers to find the extreme value(s) of f(x, y) = xy…

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Q: Assume the acceleration of the object is a(t) = -32 feet per second per second. (Neglect air…

A: topic:- calculus

Q: Let F = (7yz)i + (2xz)j + (1xy)k. Compute the following: A. div(F) = B. curl(F) =i+j+k C.…

A: We know the expression for the divergence of vector point function F→=F1i+F2j+F3k is:…

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Q: (a) Find the volume of the solids generated by revolving the region bounded by the curves y=z²+1,…

A: To solve the following problem of finding volume using washer method.

Q: 26. Graphed below is the function g(x) and a transformation of g(x). Write an equation for the…

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Q: 10 -8 1 I 1 1 1 1 -6 T 1 I T 1 1 1 I 1 1 i 1 i 1 1 1 i 1 1 1 N 1 1 i +14+kw 12 10 8- 6- 2 -2 -4- -6-…

A: Given

Q: By using trigonometric substitution, evaluate the following integral IVF x √²+6x+10 dz

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Q: Question 1 options:   A vector has initial point (-5, 8) and terminal point (0, 2). Write the…

A: let initial point A (-5,8)=(x1,y1) terminal point B(0,2)=(x2,y2)

Q: The half-life of a certain substance is 3.6 days. How long will it take for 20 g of the substance to…

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