Consider the following sequence: {an} = {n– n² } In=1 Use an+1 - an to show that the given sequence {an} is strictly increasing or strictly decreasing. Sequence is strictly

Q: 1. Which of the following is a standard equation of a circle? A. (x+ 2)2 = 16y B. (x2 - 5) + (y² – 8...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: If F(x) = f(g(x)), where f(5) = 7, f '(5) = 2, f '(2) = 3, g(2) = 5, and g'(2) = 3, find F '(2). F '...

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Q: Minimize 2x? + 4y, subject to the constraint 82 - 4x- 3y =0. The minimum value of the function is- (...

A: Method of Lagrange Multipliers :            Solve the system of equations                         ∇f...

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

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Q: Solve the following differential equation using appropriate method. 2ydx = 3xdy ,when x = 2, y = 1 a...

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Q: Assume that it costs a manufacturer approximately C(x) = 1,152,000 + 340x + 0.0005x2 dollars to manu...

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Q: 2. COsh(4x)dx

A: We have to solve given integration

Q: f(cos*x- sin *xkx *a

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Q: dx 9. 10. (x -

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. Then use the second d...

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Q: (C) Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box to comp...

A: We want to find limit and functional value at x=3

Q: Flowers tend to open in the daylight and close in the dark. The percent P of flowers open during a 2...

A: Given:   P has max 90% and min 60%       P(x) = a sin(bx) + d

Q: ах sin bx dx eax (a sin bx – b cos bx) +C. eax - a? + b?

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Q: zdy 30 24+14+70

A: Solution: ∫-3dy2y2+14y+70 Take out the common -32∫1y2+7y+35dy

Q: Find the extrema of the given function f(x, y) = 6cos(x² – y) subject to x? + y = 1. (Use symbolic n...

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Q: Find the area bounded by the following:   A parabolic curve whose vertex is at P(1,4) and its latus...

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Q: Find the lines that are tangent and normal to the curve at the given point. x²y? = 100, (-2,5) The l...

A: Given :x2y2=100    (-2, 5)

Q: EXAMPLE 3 Find the area of the playing field described by R: - 2 s x S 2, - 1- V4 - x < y<1 + V4 - x...

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Q: Write the first five terms of the sequence, give the exact answer: +oo n n + 19 n=1 Determine whethe...

A: We have to find first 5 term of sequence and we have to check weather it is convergent and divergent...

Q: Find the arclength of y 2x +1 on 0 < x < 2

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Q: Solve the equation e3z²–10z . e3z-3 = ez²-2

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Q: Solve the equation In(x – 11) – In(x – 6) = In(x + 1). %3D

A: Here have to solve the given equation,  ln(x-11)-ln(x-6)=ln(x+1)  

Q: 1. Without a table of values and without graphing f(x), give the values of the following limits and ...

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Q: Find the inverse of the function. f(x)=x+5x+11

A: f(x)=x+5x+11f(x)=6x+11

Q: (1) In this question we will find a recursive formula for the integral In = [ (In 2)" dr. (a) Find I...

A: We will use integration by parts formula and after get the reoccurrence relationship we will use tha...

Q: O C. The mean is the most common value in a data set. It is not affected by outliers. O D. The mean ...

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Q: In +1 dx

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Q: the shell method to find the volume of the solid generated by revolving the regie 2 x+ 10 and the pa...

A: In this question we will use basic concepts of calculus i.e concepts of application of a integration...

Q: Determine the values of the trigonometric functions of 0, where sin 0 = and cos 0> 0. 13 cos 0 = (Ty...

A: Given query is to find the value of 6 trigonometric functions.

Q: )an = (-1)n-1" +10 sin(n) 3n + 2

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Q: . The population of the state of Georgia (in thousands) from 1995 (1 = 0) is modeled by the function...

A: NOTE: Refresh your page if you can't see any equations. . for the year 2000, take t=5 ............

Q: Compute the Wronskian of a set of functions {vı, y2} = {e* cos(/), e* sin(v¤)} cos (Væ), e* sin(va)}...

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Q: 1. (3xy - 4y - 1)dx + x(x-2)dy - 0

A: This is a problem related to differential equation. First of all we will convert this equation into ...

Q: ACTIVITY 1: Practice ! Apply differentiation rules in finding the derivative of the given functions....

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Q: Jse l'Hospital's rule to find the limit. HINT [See Example 4. x + 1 lim x+0 e*

A: limx→∞x+1ex = ∞+1e∞                    = ∞∞                    = indetrminant form Apply l'hospital ...

Q: Find the following limits: Vx²+21-5 1- lim x-2 x-2

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Q: For the graph of the equation, identify the amplitude, period, phase shift, and vertical shift. Do n...

A: Given,            y=-4sinπx-1+5To find : The amplitude, period, phase shift and vertical shift

Q: Give three points that are equivalent to the polar point ( – 8, 335°). Write the three points in pol...

A: Give three points that are equivalent to the polar point (-8 335°).

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

A: If limxtends to 1f(x) =f(1) then f(x) is continuous at x=1 .  And if f'(1)  exists then f is differe...

Q: Find the lines that are tangent and normal to the curve at the given point. x²y? = 100, (-2,5) The l...

A: The given function is x2y2 = 100  at (-2,5)    

Q: graph of function f and g are given which is larger f(-1) or g(-1)

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Q: ;) I P(2,-2小),Q(3,-1,2) Q3) Q(3,-,2) and R( 3,-1,1) a) find the area of the triangle determined by t...

A: Given:   P(2, -2, 1) Q(3, -1, 1) R(3, -1, 1)

Q: Find the equation of the tangent line to the function f(x) = In(5x) at x = 2. (Use symbolic notation...

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Q: [4 51 [A] = |1 2 15 6] [4 3 7] [B] = |1 2 6 l2 0 4] Perform the following operations: 1. [E] + [B] 2...

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Q: Use the right triangle and the given information to solve the triangle. A 9. a = 10, b=24; find c, A...

A: For find the side c we use Pythagoras theorem and to find angle A,B we use sine formula.

Q: 8x Use - ∞ and o when appropriate. Find the limits in a), b), and c) below for the function f(x) : X...

A: limx→a f(x) exists if and only if limx→a+ f(x)  and  limx→a- f(x) exists.

Q: Consider the function f(æ) = x²e3". For this function there are three important intervals: (- 0, A],...

A: The given function is  f(x)= x2e3x  Find critical point and interval of increasing and decreasing. 

Q: What are the quartiles of a distribution? O A. The quartiles consist of the lowest value, the median...

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Q: (7) Determine if the improper integral converges or diverges. Justify your answer. If it converges, ...

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Q: 4. y = sin(cos 3x) – sin x cos 3x |

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