Σ cot n=1 converges or diverges. You have to use the Limit Comparison Test to justify your answer.

Q: Find the domain of the function using interval notation.   f(x)=−2x(x−3)(x−5)

A: Since f(x) = -2x(x-3)(x-5)  is a cubic polynomial. And we know that the domain of all polynomial fun...

Q: Q1/ sketch the region bounded by the curves. Then express the region's area as an iterated double in...

A: We have to sketch the region and find the area by using double integral.

Q: If f(x)= x³ -3x² +2x -1, then what is f' (-1)

A: f(x) = x3 -3x2 +2x -1 

Q: nyn (a) ► n² + 2-n n=1

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Q: Determine whether it is divergent or convergent. Justify. (2n)! E(-1)" 2n+1 n=1

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Q: Find the average value of the function ( x) in the interval [- T, n]. f(x) = sin xcos'x а. п b.0 C. ...

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Q: A particle moves along the x-axis, its position given by r(t) t> 0, where t is measured in seconds a...

A: Given

Q: Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph a vector V in the s...

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Q: Given the triangle below, find sin(0). Enter the answer as a fraction. 17 15 0. 8

A: Find your answer below 

Q: Market resear ice cream company price per cup of ice cream is P50.00, the demand will be 1200 cups, ...

A: Solution is here

Q: A person stands at the end of a pier 8 ft above the water and pulls in a rope attached to a buoy. If...

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

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Q: Find the equation of the circle that passes through the points (10,2), (9,-3), given that its center...

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Q: 24 3T Find the exact value of sin20 given tan0 == and t <0 < commanu option Find the evact valuo of ...

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Q: What is the slope-intercept form of the equation of the tangent line to y=x²+2x at x=0?

A: At x = 0, y = 0+0 =0  So, the tangent line passes through (0,0) .

Q: z(z² – 1) -dz z2 + 1 1 ²-In(z² + 1) + C A B z² + In(z² + 1) + C 글(22+ 1)2+C (D) z² + (z² +

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Q: 2x+3 (1) Find the domain of the function H(x)= x' -4x

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Q: Write the first five terms of the arithmetic sequence. a1=3, d=6

A: Let's five terms of arithmetic sequence are a-2d,a-d,a,a+d,and a+2d Then a-2d=3 ,d=6 a=3+2×6=3+12 a=...

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three...

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Q: Find a formula for thr nth term of the arithmetic sequence. 24,22,20,18,16, …

A: Given query is to find the nth term of the sequence.

Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) 3 1 4 2 1 4 2 3 4 1 4 2 (x),6 3. 2...

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Q: Find all the values of x where the graph of f(x) = 2x – 24x2 + 72 - 1 has a horizontal tangent line....

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Q: Graph the functions in Exercises. of the function on the interval and say where they occur. Then fin...

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Q: 1 Σ 4n² – 8n + 3 n=1

A: The objective is to determine if the series is whether convergent or divergent.

Q: 1. (a) Plot the first four terms of the sequence 3n2 – 3n + 2 n=1 (b) (i) Write in bracket notation ...

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Q: Determine the value(s) of k such that the system of linear equations has the indicated number of sol...

A: For infinite many solution ,  a1/a2 = b1/b2 = c1/c2   

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After ...

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Q: Explain why the integral is improper. 8. dx (x - 7)3/2 140 120 100 y 80- 60 40 20 O At least one of ...

A: Improper integral: If f(x) is continuous on the interval (a,b] and not continuous at x=a then,      ...

Q: 15. Challenge Problem: Find the value of k for which the following limit exists. 4x2 + kx - 27 lim x...

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Q: 6. Let a be a real number.

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A: polynomial function is that in which the power is positive and non-zero integer. so here lets check ...

Q: 1. Express B= 2i +j-3k as the sum of a vect or parallel to A = 3i - j and a vector orthogonal to A. ...

A: To express the vector B→=2i^+j^+3k^ as the sum of a vector to A→=3i^-j^. Solution: let B→=2i^+j^+3k^...

Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

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Q: Write the first-order differential equation in standard form. (Use yp for y'.) −xy' = (3x + 2)y + xe...

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Q: Determine whether the improper integral diverges or converges. 1 dx e6x + e-6x converges O diverges ...

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Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: Write the equation in logarithmic form. 10° = 1000 The equation in logarithmic form is

A: Solution in logarithmic equation is given

Q: let y (x) be the solutiou for the initial valve 12 problem given belaw . ダ+6xg = In lx) , x >o, yA)=...

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Q: 1. 3 2 a) Find lim f(x), lim f(x) and lim f(x) b) Find f(1). c) Is f continuous at x = 1? Why or why...

A: We have given figure. And we have discuss about limit and continuity at some certain point. 

Q: Let f(x) = 4 sec(7x) f'(x) =

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A: solution

Q: 4. If f(x) = sin x, find f' (x) %3D Find f'(4)

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Q: e solution of the following Differential Equations 2) y"-16y 0 4) y"-y'-6y=0 6) y" - 2y' + 2y = 0

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Q: Solve the following equation on the interval [0,2n) V3cosecsce = 2cos0 b. 2 sin? x – 7sinx + 3 = 0 а...

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Q: What is the slope of the line tangent to the graph of a function defined by f(x)= x² + √x at x=1?

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Q: Q2/ Sketch each region, label each bounding curve with its equation, and give the coordinates of the...

A: Note : " Since you have posted multiple questions, we will solve first question for you. To get rema...

Q: 2. Which of the following is correctly matched? O z'y" - e"y" + sin r(y') = 0: linear, third order O...

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural...

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Q: 14) 4y" +4y'+ y 0

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

A: topic - limits and continuity