If an = n²(n+5n²) 4n4-n²+1' then by using the Nth term test for divergence, the series Σ an converges to 0. the above diverges because an is a rational function.

Q: Express the complex number -3i in the form R(cos(0) + i sin(0)) = Ree where R> 0 and 0 ≤ 0 ≤ 2.…

A: The given complex number is -3i

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

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Q: 10 Find lim f(x) given the graph of f(x) shown above. (If the limit does not exist, enter Ø.) 1-2

A: Find the limit from the graph

Q: 8 Σ η=1 1 3Vn + n η

A: Calculate the limit of the given term as n reaches infinity.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | sin (2) x²…

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Q: Evaluate the given integral by making an appropriate change of variables. J 9 X - BY DA, where R is…

A: NOTE: Refresh your page if you can't see any equations. . where R is the parallelogram enclosed by…

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Q: Find the transition points. -x)1/3 f(x) = x(17 –) (Use symbolic notation and fractions where needed.…

A: To solve the following problem of finding the transition point.

Q: an+1 = √√√42+ an, a₁ /42 + an, a₁ = -42

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Q: What is the integral that represents the length of the curve from x = 2 to x = 4. Select one: O…

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Q: Consider the following. 2x²-3x - 5 lim X→-1 x + 1 Find the limit of the function (if it exists). (If…

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Q: b) Find the derivative f'(x) in the following cases. 5x+1 1. f(x) = 2x-1. 2. f(x) = 3. f(x) = csc x…

A: We will find the derivative of given function as shown below

Q: Question 1 of 20 o f(x) O View Policies Current Attempt in Progress Find a formula for a rational…

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Q: For the following exercises, the given limit represents the derivative of a function y = f(x) at x…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. [[7…

A: Given, ∫ 7sinx- 8sec2xdx

Q: Find all solutions of the equation in the interval [0,2π)[0,2π). (hint: isolate the trig function…

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Q: 3. y + 4y'+4y=0

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Q: Question 15 of 20 < View Policies Current Attempt in Progress Determine whether the statement is…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the component of u = 2i + j − 3k that orthogonal to v = 3i – j, then verify your result.

A: This question can be solved using the concept of component of vectors.

Q: 65. Evaluate ¹/2 xsin2x de

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Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

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Q: Question 13 of 20 View Policies Current Attempt in Progress Determine whether the statement is true…

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Q: n=0 In(n + 4) n+4

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Q: Give an example of a function f (x) that has one positive derivative on (−1,0) and a negative…

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Q: Describe the Interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Question 6 of 20 View Policies Current Attempt in Progress Use the limit definition to find whether…

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Q: Given x = y² + y + 1 from 0 ≤ y ≤ 2

A: To find the arclength of the following curve

Q: 1. Evaluate the following. Express all final answers in rectangular form. A = ³√√cos[ln(-1)]

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Q: g(x) = -6x5 (1+x6)²

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer…

A: Note: To find the vertical asymptotes of a rational function, set the denominator equal to zero and…

Q: an = Inn √n

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Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

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Q: Use the Integral Test to determine whether the series is convergent or divergent:   ∑1/n3

A: The give series is convergent...for detail...go through the solution...

Q: The graph of the rational function f(z) is shown below. Using the graph, determine which of the…

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Q: Determine fr and fy from f(x, y) = x³ + x²y + xy² + y³ ○ fx = x + xy, fy = x + 2xy ○ fx = x² + xy,…

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Q: 1 3V + η Σ η=1 4

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Q: The absolute minimum is at one of the local minima. True or False

A: It is indeed true.

Q: Write the product as a sum or difference: 12cos(34u)sin(9u)

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Q: A function f(x) is said to have a removable discontinuity at `x-a` if: 1. ` f' is either not defined…

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Q: dx Assume that x = x(t) and y = y(t). Let y = x² +5 and dt dy Find when x = 1. dt (Simplify your…

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Q: Calculate dz/du and dz/dv given the following functions: 2x-y x + 3y' = f(x, y) = = Z = x(u, v) =…

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Q: Find a general solution to the differential equation. 1/4y"+4y=3tan4t-1/3e^3..........the general…

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Q: Simplify cos(9x) + cos(3x) sin (9x)+sin(3x) to an expression involving a single trigonometric…

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Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

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Q: Find all solutions of the equation in the interval [0,2π) (hint: isolate the trig function then draw…

A: Given, tan^2(x)−3=0

Q: Let f(x) = (c + 1)x+ In(cos x). For what value of c is f'(/4)=6

A: This question can be solved using the concepts of differentiation.

Q: The gradient vector of the function f(x, y, z)= ln(yz) - x² is: 2 Select one: 0 (-2x,1,1) O None of…

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Q: Show that the function has removable discontinuity at the origin sin 2x 2x f(x) = 1 if x = 0 if x =…

A: Given that a function f(x) and we show that the function has removable discontinuity at the origin .…

Q: ∞ Σ η=1 7η + 3η gn

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Q: ∞ ΣΕ - (x – 6)η n(5)n

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