Consider an = V4n2 + 3n – 2n for n 2 1. - (a) Determine if {an}, n=1 is convergent or divergent (b) Is Ean convergent or divergent? n=1

Q: 4) Factor fully. a) x3 + 4x² + x – 6 b) 2x3 – 9x² + 7x + 6

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Q: II Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, ...

A: Let's find. 

Q: I. Solve the following: 1. Given: y = 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x? = 144, find y" ...

A: Given  1. y=2x-13+43x-2 if x=22. 3x+4y3=5 If (3,2) To find slope m:

Q: ·sec-x)" sec'x 23. What should be the value of A for -dx to be integrable using the formula | u" du?...

A: the integration of the integral is (2-sec2x) eln(pi/e)sec3x/Sec(3A-x).

Q: 1. Consider the curve of the function f (x) = 2x² a. Find an expression for the slope of the curve a...

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Q: dx -= In[F(x)]+ C. What is F(/3) if C = 0? For (x+x3) (x Tan-!x+1) -1 (A 3 3 B (c) + - 6. 1 D + -15

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Q: (2- sec?x) " sec(3А — х) e In (a le) sec3x -dx to be integrable using What should be the value of A ...

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Q: 人 こ 5

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Q: 9 y- Arctan( 1-2x

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Q: 17. Multiply. 2(Ax - 65) 18. John has a piece of rope. The rope is 144 inches. He cuts the rope into...

A: Please see the answer below.

Q: sinx sinx +x cosx - e +e The integral / dx may be written as me"sinx + px + qe* + C. where m, n, p, ...

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Q: Show that the vector field A (3x?z + y?)a,+ 2xya, + x³a, is conservative. %3D

A: Given problem:- Show that the vector field A = (3x²z+ y²)ax + 2xyay + x³az is conservative. =

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: Find your answer below 

Q: 2. Let by = cos and cn = cos for all n e N such that n > 2. Determine whether the given n – 1 series...

A: Using Telescoping series. 

Q: Question 3 The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies ...

A: ∫-b-a1+xfxxdx = ∫-b-a1xdx +  ∫-b-afxdx = lnx]-b-a + ∫-b-afxdx Given ∫fxdx = Fx and Fx is odd functio...

Q: Exercise 1 Determine the relative extrema of f. (a) f(x, y) = 18x² – 32y² – 36x – 128y – 110

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: 2. Evaluate lim -4x+1 X-1 x-1

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Q: 2 Consider the function f(x) - A. 6x + 4x8. f(z) has a critical point at z = Find the value of A: A ...

A: The given function is f(x)=-6x2+4x-8 .............................. (1)  Differentiate with respect ...

Q: n (a) an = (-1)" n+1 (b) an Vn +1 In(n®) (c) an = 2n

A: This is a problem of series and sum calculator. By using several available method we will determine ...

Q: 7. y= tane

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Q: True or False: To evaluate the integral dz, 9. we use substitution withr= 3 sec 0, where Select one:...

A: Option B

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: a) summation of  n/(n3 + 1). b) summation of (n2 + 1)/(n3 + 1). c) summation of n3 / 5n.    

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 4j. NOTE: Enter the exact answe...

A: Given :Make an angle of 45° with 7i + 4j

Q: (14) = (x – y + 5)? dx dy %3D dy (15) (x² – y²)" – xy = 0 dx dy (16) 2xy = x² + 2y² %3D dx

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Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ ...

A: Basic application of derivative problem

Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

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Q: True or False: If 3 dx%In|x-3|+B In|x+2|+C (x-3)(x+2) 2 then B =

A: true find integration use partial fraction  

Q: 2. Evaluate lim x-4x+1 X-1 x-1

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

Q: sias The integral cost -e de may be written as me' +px+ ge" +C• where m, n, p, q. r, and C are const...

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Q: Integral of tan^5(x) dx Show Complete solution

A: This is a problem of differentiation. By general formula we will solve the question. Assume, secx = ...

Q: True or False Any whole number is divisible by 3 if and only if the sum of its digits is divisible ...

A: We have to find the our statements are true or false

Q: A. Use the tabular method to evaluate the following limits. Set three values of x from each side. Ro...

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Q: Find d of the function given implicitly and evaluate the derivative at the given point. y = sin ( 6x...

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Q: Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of ...

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Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9.

A: We will find the area of the region. 

Q: Consider the function f(r) - on the interval 2, 6. Find the average or mean slope of the function on...

A: f(x)=1xInterval [2, 6]f(2)=12f(6)=16The mean slope=f(6)-f(2)6-2Mean slope = 16-124Mean slope = -44(1...

Q: 5. Sketch the graph of the logarithmic function f(x) = log, x, State the domain, range and asymptote...

A: This question is based on Logarithmic graph and it's properties.

Q: Suppose the closed curve C in R? starts at the point (-1,1), goes along the parabola y = x2 to the p...

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Q: - 1) ? du

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Q: FIND THE ARG CZ) OF THE COMPLEX NUMBERS 2

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Q: =[in(4-x cos (r4

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Q: 3. The surface of an island is defined by the function z = e-(x<+y²)/8 – e-2 over the region on whic...

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Q: 15. (ez + e-z)2 dx.

A: Given: I=∫01ex+e-x2dx As we know from the hyperbolic trigonometric identities; 1). sinhx=ex-e-x2 2)....

Q: 1. List the first five terms of the sequence (-1)"-1n An n! + 3 n > 1.

A: We have to find first 5 term of Given sequence.

Q: 6. How do you know if a system has a unique solution? (A) The associated, reduced augmented matrix h...

A: To determine the form of reduced augmented matrix when the system has a unique solution.

Q: In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767...

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Q: The sum of squares of two consecutive odd numbers is 130. Find the sum of the numbers. Let: x = 1st ...

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Q: 2nd deivative vong impliat dipperentiation x'y +y*x = X. -2

A: We can find the 2nd derivative of the given expression as below

Q: Find the derivative of the function. 3. 2x2 - 5 =イ 4- x %3| y' = ||

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Q: 8. y = In(x + V +1)

A: