Use the difference an+1 – an to show that the sequence {n – 4"to0 is strictly increasing or strictly decreasing. - Sn=1 An+1 - an =1– 4" Use the dropdown menu to indicate whether the sequence is strictly increasing or strictly decreasing. V Strictly decreasing -

Q: x³ +2x .3 dx x2+1

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Q: Find the intervals in which f (x) = x3 - 3 x + 1 is increasing or decreasing

A: Find the intervals in which f (x) = x3 - 3 x + 1 is increasing or decreasing.  

Q: If g = 2430°, simplify the expression sin(sin g). If undefined, enter Ø. Provide your answer below:

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Q: S Vx + 3(x + 1)dx

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Q: 14. Evaluate the following limits. a) lim (x² + 2x – 3) X-0 b) lim (x3 – 2x² + 3x + 4) X-

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Q: For the following composite function, find an inner function u = g(x) and an outer function y =f (u)...

A: topic - functions and derivatives

Q: Find the total area of the shaded region. AY 16- 14- 12 10 32 40 12 14 16-

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Q: 6 If a particle's position is given by r (t) =<t,22 COst, sint7 find the velocit acceleration and sp...

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Q: Draw the Rollowin functions ゴ= 4メ-1

A: We have to draw y2=4x-1

Q: 36. Adams's Magic Hexagon. In 1957, Clifford W. Adams discovered a magic hexagon in which the sum of...

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly aks ...

Q: sec2 x 2. csc2 x = %3D sec2 x-1

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Q: 1. g(t) = (4 – t²)ś first derivative %3D critical numbers stationary points (relative extrema) secon...

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Q: 5q sin q p = 4 q* - 3 dp = dq

A: it is very basic problem of diffrentiation.

Q: 3. f(x) = 6xi – 3x ; x € [- 2,1 first derivative critical numbers stationary points End Points Absol...

A: Here, the given function is: f(x)=6x53-3x23; x∈-2,14

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

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Q: do The marginal cost of printing a poster when x posters have been printed is 1. dollars. Find c(196...

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Q: Write out the form of the partial fraction decomposition of the function appearing in the integral: ...

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Q: 14. Evaluate the following limits. (3-x+x2, 5x+1Y e) lim 2x y-0+ 5x-7 lim 2 f) X0o ( 3x2 x sin x lim...

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Q: Consider the following. T/2 3 cos?(0) de State the half-angle identity that can be used to evaluate ...

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Q: (b) ln x as 0 As x0, In x →

A: Topic = Function  

Q: Find two unit vectors orthogonal to a = (4,-5, 3) and b = (-4,0, –3) Enter your answer so that the f...

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Q: 5. y = Je' dt %3D

A: Solution: 5. y=∫0x2et3dt

Q: The possition function s(t) = -16t² + 350 Find : (a)average velocity over the time interval 2. %3D [...

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Q: 3. 2t t dt ST-t

A: To integrate the given vector function. ∫te2t, t1-t,11-t2dt...(1)

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 5 + 4y2,   ...

A: We use the formula S=2π integration of y √(1+x'2)dy from 1 to 2

Q: Test the series below for convergence using the Root Test. 3n 10n + 4 n=1

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Q: Find two numbers whose sum is -9 and whose difference is 1. Your answer is: The largest of the two n...

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Q: Calculate the derivative of the following function. y = (csc x+ cot x) dy dx II

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Q: What is the amplitude and period of the function shown below? 7. 6- 5. 4- 3- 2- 1, 4 6 -1- -2- -3 -4...

A: The amplitude of a function is the amount by which the graph of the function travels above and below...

Q: Find the intervals in which f (x) = 2x3 + x2 - 20 x is increasing or decreasing.

A: Follow the procedure given below. 

Q: Solve the following system of equations, using whichever method you wish. x+ 2y = -1 2x+4y = -2 • If...

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Q: Find the derivative of the function. g(x) = log,(x) g'(x) =

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Q: a). End behavior of f(x). b). Determine the r-intercept. c). Determine the y-intercept. d). Determin...

A: The end behaviour of a polynomial function f(x) is the behaviour of the graph of f(x) as x approache...

Q: Solve the following equation for x. log5(2x) + log5(3x) = 2

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Q: Determine whether the alternating series converges. 00 5ln k k k=3 O The series diverges. O The seri...

A: On solving this series we will get

Q: 1. Find the root of f(x) = cos x + 2 sin x +x? by using Secant method. Let the initial value xo = 0 ...

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Q: (iv) Which one is the correct statement (the next step to find f' (æ) by definition)? 13(Vz +3 – VE ...

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Q: Find the equation of the line that goes through the point (5,4) and is parallel to y=2x-3 . Write yo...

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Q: 3. Verify the following trigonometric expression. 1 1 = 2 sec2 x %3D 1-sinx 1+ sinx

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Q: 2. y = log, 3x(x – 4) 3. y = x + 3 In x 4. y = x2 In x

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Q: Find the numerical value of a) sinh Cen 4) b) sinh (1

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Q: Determine the general solution for each given higher order differential equation or particular solut...

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Q: Use the Chain Rule to find dw for w = dt xe7,x = t2,y =1- t,z = 1+ 2t.

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Q: Question 1 Some values of a differentiable, invertible function fand its derivative are given below....

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Q: Exercise 4: Mastery Learning Game Directions: Find the derivative of the following functions: 1. y =...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: Simplify the following trigonometric expression. cosx(secx- cosx)

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