Find the limit of the sequence an={sin(n)/n}..if it exists.

Q: 4 To find the blue shaded area above, we would calculate: | f(x)dæ = area Where: , b = a = f(x) Area...

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Q: Let f(x) = x2 - (x + 2) and calculate f(x) dx by using integration by substitution. What was your su...

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Q: Given the expression an = V4n² + 3n – 2n for n > 1 Check whether this is convergent or divergent: an...

A: The given sequence is a an=Sqrt(4n2+3n) -2n. 

Q: 8) A table of values for h(t) on the interval [0, 10] is shown below. Use a left-endpoint rectangle ...

A: Explained below

Q: 1 Σ (n +2)*¾ n=1

A: Find your answer below 

Q: 2x+ln(x) С. у %3 Vx

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Q: TOPIC: Integration by Parts Evaluate the integral of t cot^-1 t dt using the integration by parts te...

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Q: Determine the amplitude, period, phase shift, and equation of the midline for y = -3 cos (-x--) - 1....

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Q: e 9. cos(x) dx - " sin(x) dx. Evoluate

A: Formula:∫ cos x dx = sin x + C∫ sin x dx = - cos x + C

Q: f(x) = x2 + V1 + 2x, 3 Sx5 5 %3! im - 00 i = 1

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Q: (a) Interpret f(19): = 415 in terms of carbon dioxide.' Choose all statements that are correct. O Th...

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Q: Find the average value of f(x) = Vĩ on the interval [0, 25]. favg %3D Enter your answer as a fractio...

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

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Q: Hw.s Anofen cylinder Can has an inside radius 42cm and an inside height ofs cmuse he total derivativ...

A: This is a problem of calculating volume of the cylinder. Based on the general formula of the volume ...

Q: If f(x) 5 tan (7 sin(2r)), f'(x) =

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Q: Determine the amplitude, period, phase shift, and equation of the midline for y = -3 cos (x --) - 1....

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Q: E Knowledge Check Find the foci of the ellipse. 25x +9y+72y-81=0 69+ 1D pue 0D

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Q: The annual sales S of a new product are given by 6000t2 7 + t2' where t is time in years. Osts 3 (a)...

A: The answer is in below steps.

Q: Graph the piecewise-defined function. x-3 if xs5 f(x) = 2 if x>5 Choose the correct graph. D. OA. B....

A: The detailed solution is given below Thank you 

Q: dy/dx: if x=tan(x+y)

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Q: Given that {an}n=1_is convergent such that a1 = V5 and an+1 V5 an- %3D Solve for lim an n 00

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Q: x dx e4x

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Q: Question 14 The domain of the following function (x.v) =In(x-r+1) is given by the equation:

A: The given function is: f(x,y)=ln(x-y+1)

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs i...

A: Given problem:- Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of...

Q: Show the following limit does not exist. Be sure to carefully explain your reasoning. lim (2,0)(0,0)...

A: a) limx,y→0,0x2yx4+y2b) fx,y=x2yx4+y2x,y≠0,04x,y=0,0

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the eract answers in terms of i,j ...

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Q: Two poles, one 8 meters tall and one 20 meters tall, are 25 meters apart. A length of wire is attach...

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Q: The graph below is the function f(r) 5+ 4- 3. -5 -4 -3 I 2 3 4 5 02+ -3+ -4 -5+ Find lim f(x) = I→ -...

A: limx→-1-f(x)=2limx→-1+f(x)=2

Q: A boat with its load weighs 1,328 N. If the force exerted upon the boat by the motor in the directio...

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Q: Recall that, for any continuous function f(x), the definite integral (x) dx gives the area under the...

A: Solution is written in below steps.

Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas ...

A: The given figure is:

Q: Compute the first-order partial derivatives. z = 5y* (Express numbers in exact form. Use symbolic no...

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Q: In Cx+1) 2. -7 え+) In (x+ D In (7+1) - In ("+1) In (8) - ra Co) und efined. In Co) diverg es

A: Your answer is correct. But I have solved it with the help of method of improper integral. Given int...

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

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Q: 18xy ive of the function g(x, y) x-y abolic notation and fractions where needed.)

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Q: \ cosx + sinxr cos³x + sin³x 3 3. 3. cos x – sin°x |dx 3. cosx + sinx cosx – sinr

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Q: Find the eccentricity of a hyperbola whose transverse axis and conjugate axis are equal in length O ...

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Q: Use the method of shells to find the volume of the solid obtained by revolving the region bounded by...

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Q: 3. Evaluate (r + 2y) dA where R is the triangle with vertices (0,3), (4, 1) and (2, 6) using the tra...

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Q: 23 456789 10 1213141516171819 -5 -6 -7 -9 O o7 O54 32

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Q: Let f(x) = r + 5•x + 2 and g(x) 2 x +7. x + 1. Write down an expression to calculate the area betwee...

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Q: Find the length of the transverse axis if the length of the semi-transverse axis is 55.

A: This question can be solved if we know the relation between transverse axis and semi transverse axis...

Q: Find the length of the Conjugate axis if the length of the semi-transverse axis is 92 and the distan...

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

A: The given problem is solved below in detail.

Q: 3. Find the angles between the vectors: u = 2i + j, v= i + 2j – k а. b. u = 2i – 2j + k, v = 3i + 4k

A: Angle between two vectors, θ=cos-1u→.v→|u→| |v|→ a)  u→.v→=2i+j.i+2j-k       =2+2 u→.v→=4 |u→|=22+12...

Q: Use the Ratio Test or the Root Test to determine whether the following series converges absolutely o...

A: This is a problem of series calculation. Based on the root test we will determine the nature of seri...

Q: Recall that the circumference of a circle is given by f (r) = 2ar where r is the circle's radius. If...

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Q: Applying the quetient rule, what is w() if hG)-

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Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t +272t...

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Q: 0 Given Sukiject to: find the vaplue x that wiU Minimine

A: Express z as in terms of x using constrain then use derivative to find x for minimising z.