Consider the following sequence: {an} = {n – n² },=I Use an+1 an to show that the given sequence {an} is strictly increasing or strictly decreasing. Sequence is strictly decreasing eTextbook and N increasing

Q: 2w2+9w+1 dw is the same as w+4 2w +1+ dw w+4 B w+4 Mp MP 67 2w +17- W+ 4 None

A: We want to find correct answer from the given options. 

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A: We will find the time and distance. 

Q: x4メ U 5 + x² 2.

A: Let's find. 

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Q: Solve the initial-value problem starting from y0 = 10. dy dt = −6y y =     At what positive time doe...

A: We need to solve the given separable differential equation

Q: Express the repeating decimal as a fraction. 0.565656...

A: Let A= 0.565656....      equation 1

Q: Evaluate the integral: cose de. 4- sin?e ® sn- (ane) + c A sin-1 B -sin- sin- + C (c) -sin-1 sine+ C...

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Q: I. Evaluate the integral of xy dx from x 0 to x 6 using the parametric equation x = 6 cos 0 and y 2 ...

A: Now we have to find the value of integral: ∫06 xy dx

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use ...

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Q: Consider the following sequence: S 7" {an} = 1=1 An+1 to show that the given sequence {an} is strict...

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Q: 1. In this problem you will prove that the shortest distance between two points is a line using the ...

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Q: Use any method to determine whether the series converge. 1. (a) 19k k=1 The series 00 1 (b) 19 + 1 k...

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Q: csc2tdt=In|csc2t – cot21|+C A) True B False

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Q: dx 14. Evaluate S: 9x2+36 a.)능an-1 3x +C b.) 습tan-12x +C c.) tan-+ C d.) tan-i 2x + C 15. Evaluate f...

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Q: (c) Determine if F is a conservative vector field. Given that the charged particle is moving along t...

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Q: dV 500(1+1)-2, when V=700 and t=0 is dt The value of C in the equation: A 350 B none of the given ch...

A: ∫at+bn dt = 1aat+bn+1n+1+C

Q: Jacqueline took out a $30,000 student loan with a fixed interest rate to pay for college. Jacqueline...

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Q: sin-- In?| 4+ tan-'cos- dx 2 1+ cos 4+ tan-'cos- In| 4+ tan-'cos- dx 2 2sin- 2 A | 4+ tan-!cos÷ 2 1+...

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Q: Let * = 2.06, and y = 1.32. Determine the value of when you evaluate .(use 2 decimal places, no 5+x ...

A: We have given  y=∫x5+xdx Put 5+x=t dx=dt x=t-5 y=∫t-5tdt y=∫1dt-∫5tdt y=t-5lnt+C Putting value of t ...

Q: Find the equation of the tangent f (x) = 4x – 8a at a = 16.

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Q: Q/ Does the function have horizontal, vertical, or oblique alignments y = X-1

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Q: 7. xD

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Q: If sin(t) = and t is in quadrant II, find cos(t), sec(t), csc(t), tan(t), cot(t). cos(t) %3D csc(t) ...

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Q: A solution of a DE identical to zero, that is, f (x) =0 for all real x in a given interval is called...

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Q: Express the following sum in closed form. 6 +4. n k=1 k Hint: Start by multiplying out 6+4. n Note: ...

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Q: In the integral, cos?rsin2tdt , the correct u using general power formula is;

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Q: |(1+ sin x)'cos x in x) cos x cOS.

A: Given: ∫1+sinx3cosxdx

Q: 4. (D² +D-1)² y =0 ,when x= y = 0, y' = y" =1, y" = -1

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Q: dy Find for the following function. dx y = 5 sin x+2 cos x dy dx II

A: Given that          y = 5 sinx + 2 cosx  Here we have to find dy/dx .

Q: Match the integral expression on the left with appropriate dV so that the antiderivative will exist....

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Q: Look for three (3) mathematical formulas related to your chosen field like engineering, health scien...

A: Formula 1: y=mx+b y=mx+b  is slope intercept form equation of straight line. So it is used for findi...

Q: Solve for the orthogonal trajectories x²(3k – x) – ky² = xy?

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Q: xet dx (x+1)- 4.

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Q: Suppose that fis)-\,P(G)=3,965 ond a'5)=8. Find the fllowing voiure

A: We have to find the derivative

Q: tan( tan3x) dx Evaluate: cos?3x A) 3 -In|sec (tan3x)|+C -In|cos( tan3x)|+C 3 In|cos(tan3x)|+C In|sec...

A: Just I have make the substitution and solved the given integral.

Q: 50 mg of radioactive substance decays by 20% in 10 years a. what is the value of k in the formula y...

A: This is a question of differential equation. Based on the given data we will solve the all subparts ...

Q: Find r'(t)⋅r''(t)forr(t)=−3t^5i+5tj+2t^2k

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Q: Solve using method of undetermined coefficients d?x d3x + 6 dt3 dt2 d?x + 12 dx dx + 8x = 0 when t =...

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Q: dx Evaluate x²/4 x²

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Q: (a) u'(1) = It does exist. u'(1) does not exist because f '(1) does not exist. O u'(1) does not exis...

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Q: dx A D +C 3 B.

A: The given integral,        ∫e4x+1e2xdx

Q: 2w²+9w+ 1 dw is the same as w +4 A dw w +4 2w +1+ 3 dw w +4 B 2w – 1 - 3 dw w+4 2w +1- 67 dw w +4 2w...

A: Given that           ∫{(2w2+9w+1)/(w+4)}dw

Q: rx²+x+1 -dx x-2 A -+ 3x + 7ln (x– 2) + C +x- 2ln (x- 2) +C -x- In (x-2) + C +3r -3 In (x – 2) + C

A: Let's find. 

Q: Find the areas bounded by the indicated equations y = 2x, x = 0, y = 10 (А) 25 (в) 40 none of these ...

A: Given:Y= 2x, x=0 , y =10We will find the Area bounded by these equation.Below find the solution in t...

Q: Rewrite the given equation of a quadratic surface and identify the graph. 12y2 – 3z2 = 16x

A: equation of the hyperbolic paraboloid  A y2 - B z2 = 2 Cx

Q: C. CONTINUITY .Below is the graph of f (z). For each of the given points determine the value of f (a...

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Q: In integrating the function fx cos(3x) dx using integration by parts, what would you choose for your...

A: Let ,I=∫ xcos3xdxSubstitute  u=3xdifferentiate du=3dx⇒du3=dxI=∫ u3cosudu3I=∫ucosu9duTake the constan...