c 2 0 0 4 0 1 0 40

Q: 50 -40 -30 -20-10 10 20 30 40 50 Based on the pattern you see in the graph answer the following ques...

A: The symbol limx→af(x) represents the value of f(x) as x is nearing the value a irrespective of appro...

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: Let's find. 

Q: 2r da

A: Here we will find the integration, 

Q: Find the length of the curve r(t) = for 3 < t < 16. Give your answer correct to two decimal places.

A:

Q: Find the equation of the tangent line of y = 4e* at xo = 0. (Use symbolic notation and fractions whe...

A: y=4exSubstitute x=0y=4e0=4The point is (0,4)

Q: Solve the given differential equation. All solutions should be found. dy ° – 6y NOTE: Use c for the ...

A:

Q: S (x +) dx 2 X.

A:

Q: In 2004, an art collector paid $60,791,000 for a particular painting. The same painting sold for $30...

A:

Q: Determine the constants A, B: 2.х — 3 A В (x – 3)(x – 4) x – 3 x – 4 - - +

A:

Q: Suppose y = V2x + 1, where x and y are functions of t. (a) If dx/dt = 15, find dy/dt when x = 4. dy ...

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Q: Consider the function f(r) 6/z + 10 on the interval 2, 10. Find the average or mean slope of the fun...

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Q: Solve the system by the substitution method.   3x−y = 21 x+8y = 7

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Q: Find the curvature of the motion of r(t) = . Leave your answer correct to two decimal places.

A:

Q: For vectors ū = (1,-5,2) and v = (3, 1,-4), calculate the following: a) ū• i b) the angle between ū ...

A:

Q: [2x+5y=7 3x + 2y = -6' 1. Solve the linear system using graphical method.

A: The given linear system,2x+5y=73x+2y=-6

Q: Question 7 Evaluate | (6x² – 3x2 + 5) dx (A x3+ 3x-1+ 5x+ C B 2x3+3x-1+5x+C 2x3+ 3x -1+x+C 2x3+x-+5x...

A:

Q: Since (k + 1)³/3k+1 ki3 /3* (1+ ±)* _ 1 lim k→+0 lim k→+∞ 3 3 the series (converges/diverges/inconcl...

A: The given series,       ∑k=1∞k33k

Q: • f(x) = -1 when r 2 • f(0) = 1. 1 2 ) Define the function f on the interval [-2,2] such that f is ...

A: (i) We can take fx=x+1-2≤x≤0-12x+10≤x≤2. Note it is obtained by connecting the known points via line...

Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive) of...

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. (1-4) an = tan-1...

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Q: Use the difference an+1 – An to show that the sequence {n – 7"t00 is strictly increasing or strictly...

A:

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. (1+9) 6. an = %3...

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Q: Find the area that is inside both r=1−sinθ and r=2+sinθ

A: Graph:

Q: 3 2 6 Consider the function f(x,y,z) = e xyz -6, the point P(0, – 3,1), and the unit vector u = 7' 7...

A:

Q: 2. Find the extrema of the function g(x) = x3 using any of the methods given in the above discussion...

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Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: Evaluate the following: 4dt 5. 5t+ 2 1.

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Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. 52n + 5 (a...

A: The given sequence is: an=52n+510n+5n+10

Q: 1 =dx x+v cos(2x) > [1] S > [2] S dx sinx+cosx

A:

Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

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Q: Use the graph of f(x) shown below to determine each of the following limits. 8- 4- -3- 2 -7 -6 -2 -1...

A: The graph of the function is To evaluate:  a. limx→-4-fxb. limx→-4+fx

Q: Differentiate. h(0) = 02 sin(0) h '(θ) -

A:

Q: 4 Find the derivative of the function f(x) = %3D x +7 Provide your answer below: f'(x) =

A: Given query is to find the derivative of the function.

Q: Find an equation of the line passing through the pair of points. (4, 3), (-4, –4) Sketch the line.

A: We can find the required equation of line passing through the pair of point is as below.

Q: Evaluate the integral. dx (x – 10)(x – 15) Use symbolic notation and fractions where needed. Use C f...

A: Here we have to evaluate I=∫dxx-10x-15  

Q: 8. -8-7 1 Select the correct answer below: O f(x) has a removable discontinuity at x = 6. O f(x) has...

A: From the given graph we can see that at x=6 the curve has a dot ( but not a hole). 

Q: Differentiate. y = In (5x-9x+1) (5x² - 9x + 1) y' = 1

A:

Q: The integration expression + 4)cos(3ln(x) +4)dx must be transformed into using suitable choice of "u...

A:

Q: Isin ()

A: 72sin(π5x) =75xnow here there are two curves  y =72sin(π5x) →(1) y=75x  →(2)solving by graphical met...

Q: 39. If z = 5x² + y² and (x, y) changes from (1, 2) to (1.05, 2.1), compare the values of Az and dz.

A:

Q: Determine whether the alternating series converges. E(- 1*- k=3 7ln k k O The series diverges. O The...

A:

Q: 6x 29. What is the particular antiderivative of f(x) = whose y-intercept is –4? 1 a. y = 4 ln |x² – ...

A: We have to evaluate the above integrals.

Q: Solve the given initial value problem. 2ry + y2 2x2+3xy dy y(1) = - 2 dx Oy + y = -4 Oy + xy³ O xy +...

A: Given problem:-

Q: A spacecraft launches from the International Space Station and flies directly away from the earth at...

A:

Q: lim f(x)

A: Looking at the graph, we can tell that

Q: For the given p-series, identify p and determine whether the series converges. Ek-615 -6/5 k=1 . The...

A: Find your answer below 

Q: The cost of producing an ordinary cylindrical tin can is determined by the materials used for the wa...

A: Given:       Volume =1000 cm3       Volume of cylindrical tin V=πr2h      then,            πr2h=1000...

Q: 7) fouo momEUT THE Mss, THを momet Adout X-4XIS, Aんの 2 A BOLT Y-AXTS of RLJOU Boun DEp By THE メート Dev...

A:

Q: The number of bacteria "N" present in a culture increases at a rate proportional to the number prese...

A: Topic:- function

Q: 4 SET UP AN INTEGIUL fonila fen SUifACE Arfer BounDED By Y=x-2y, x-C , Y=3, Auo x 20 CHEN ReTATowh A...

A: The integral for finding surface area of the solid obtained when the region rotated about y axis is ...