petermine whether the seauence conve ges or diverges. If it conve ges, find the e?cos (amr)

Q: Find the inflection points of each of the given curve.  y = 5x – x5

A: Given :y=5x-x5

Q: Find the equations of the tangent and the normal of y = 3x2-2x+1 at point (1,2).

A:

Q: cos(2x) -dx sinx+cosx

A:

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: Consider the following graph. y 10| 8. 6 4 (1, 3) 2 -4 -2 2 4 6 8 10 -2 (1, –2) (7, –2) -4F (a) Find...

A:

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

A:

Q: *Introduction to Derivatives (x²+2x-3 Using the 3 conditions, show that f(x) = 4 if x#1 is both cont...

A: Differential function is always contious bt Converse is not true

Q: x³ + 3x dx. x2 + 1

A:

Q: A particular country's exports of goods are increasing exponentially. The value of the exports, t ye...

A: V(t) =1.6 e0.039ta)   substitute t=0 for 2006     V(0) =1.6e0= 1.6      Value of country's export in...

Q: Isin ()

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

Q: Use substitution to evaluate the integral | (3x³ + 5)° . 27x²dx

A:

Q: Given a particle is moving in a curve r(t) = cos 7t i + sin 7t j + 6t k. Find the tangential compo...

A:

Q: V-x-2-V3 Evaluate lim -x- 5 Enter an exact answer.

A:

Q: Find torsion of the motion 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: x2 – x +1 When you evaluate: dx. The sum of the coefficient of X" for any constant n>0 js 26 15 23 B...

A:

Q: 27. w = ry + yz+ za, x=r cos 0, y=r sin 0, z = r0; dw dw when r = 2, 0 = 1/2 dr' de

A:

Q: For the functionf(x) = |x- 2|, evaluate the left and right limits of f(x) as x approaches 2. %3D Pro...

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand side limit of the func...

Q: For the given p-series, identify p and determine whether the series converges. -8/7 .Therefore the s...

A: The given series,       ∑k=1∞k-87

Q: Differentiate the following functions. Show step by step solution and Indicate your final answer. y ...

A: A detailed solution is given below 

Q: Find the solution of the given initial value problem in explicit form 1 y = (1 – 7æ)y² , v(0) = - 2 ...

A:

Q: Find the limit of the sequence using L'Hôpital's Rule. (In(n))² an = 13n (Use symbolic notation and ...

A:

Q: dy Write down a differential equation of the form dt = ay + b whose all other solutions diverge from...

A:

Q: 14. The formula for exponential growth and decay is given by Y = C. True False

A:

Q: 7. Including complex zeros find all zeros of f(x) = 9x° + 57x² + 66x + 30

A: f(x)=9x3+57x2+66x+30Take f(x)=0⇒9x3+57x2+66x+30=0find the values of x to get the zeros of the functi...

Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges....

A:

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

A:

Q: Evaluate the indefinite integral. 24 W cot(x) csc2(x) dx 24 cot?(x) + C 25 O (csc(x))24/25 + C 24 25...

A: To solve this use integration by substitution method

Q: Find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) has a zero...

A: Given query is to find the value of a.

Q: Find the length parameter of the curve r(t) = with base point at ( 7, 0, 0 ).

A:

Q: 35. Find all points at which the direction of greatest rate of change of the function f (x, y) = x² ...

A: Find your answer below 

Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly int...

A:

Q: 4 sin320 cos20 d0

A:

Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

A:

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

A:

Q: 13. What is the value of f(x) = 5 – 4lnx at x = 1? 3 9 5 undefined

A: NOTE: Refresh your page if you can't see any equations. .. here we have x=1

Q: 2 S (x+) dx C cor?(?r)dr

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Describe the surface of 4z2 – 4x² – y = 4 - |

A: The general equation of a  hyperboloid on two sheets is given by x2a2-y2b2-z2c2=1 notice that there ...

Q: lim f(x) r→-2

A:

Q: Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a.  o...

A: 4 Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a. ...

Q: Draw a direction field for the given differential equation. Based on the direction field, determine ...

A:

Q: If Sammy has 24 candy bars and Jaycob has 4 more than Sammy how many candy bars does jaycob have

A:

Q: Find the limit of the sequence using L'Hôpital's Rule. 1(Vn² + 11 – Cn = n - n (Use symbolic notatio...

A:

Q: Each of two sides of a triangle are increasing at the rate of 1⁄2 foot per second, and the included ...

A: Rate of increase in side lengths = 0.5 ft/s Rate of decrease in angle = -2 degree/s Angle between si...

Q: Determine (without solving the problem) an interval in which th solution of the given initial value ...

A: 16-t2y'+5ty=7t2 , y(-7)=1 ⇒dydt+5t(16-t2)y=7t216-t2 16-t2=0⇒ t2=16⇒ t =±4  

Q: that satisfy f(x) = x³ + x – 1, [0,2]

A: Note:- Since you have asked multiple questions, we will solve the first question for you. If you wan...

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 line as below.

Q: V1+x3 –dx r-2

A: ∫1+x33x-2 dx∫x2.1+x33 dx13∫3x2.1+x33 dx13∫3x2.(1+x3)13 dx

Q: 1. Complete the following tables of values to investigate lim (x2 – 2x + 4). x→1 f(x) f(x) 1.6 0.5 1...

A: