Find the limit of the infinite sequence. 27,93 1 1 Enter dne if the limit does not exist. If the limit is a fraction, enter it in the form a/b. If the limit is +/ infinity enter "positive infinity" or "negative infinity".

Q: QUESTION 4 Given f(x) = 8x³ + 2x. Estimate the value of ƒ(2.01) using differential. %3D

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Q: 2. Complete the following table. lim 2016 lim r -2 -1/2 3.1416 10 V3

A: Given table:- c limx→c2016 limx→cx -2     -12     0     3.1416     10     3       ...

Q: Variable Separable (8) dx dy e 3x+2y; Provide the explicit solution (9) secx dy = sec 2ydx

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Q: Show that In x lim x→1 x – 1 1.

A: To prove: limx→1 ln xx-1 =1 limx→1 ln xx-1 =00 form L'Hospital's Rule tells us that if we have an in...

Q: An airplane moves in the northwesterly at 125 mi/hr relative to ground, due to the fact there is a w...

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Q: Arc sin -+ Arccos =0 y y

A: Given that sin-1xy+cos-1xy=0find dydx

Q: Given the differential equation y" - 6 y' = 0 Determine the Characteristic Equation for the Differen...

A: First we find out the characteristic equation of the given differential equation.

Q: iv. An = In(n + In n

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Q: f(x)=2x^2-6x-1, find x so that f’(x)=0

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Q: Use algebra to simplify the expression before evaluating the limit. In particular, factor the highes...

A: Our Aim is to evaluate the limit of the expression given below:-limn→∞2+8n+7n26n2-5n+7 -(i)

Q: if f(x)=4x^2+7x+6, find the equation of the line tangent at x=-2

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Q: -32 2dy = 0

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Q: Find the particular solution: (D^2-4)y=4x-3e^x

A: We need to find the particular solution of : (D2-4)y = 4x-3ex

Q: A. Evaluate each of the following indefinite integral: 13 1.

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Q: Determine whether the given sequence converges, and, if it does, find the limit. i. an = sin ii. an ...

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Q: se the definition of the derivative to find the derivative of: f(t) = -4 – 2t. (t) =

A: Topic:- derivatives

Q: Find the area of the shaded region. y x = y -8 -6 -4 -2 4 Hy=-1 2.

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Q: 3. feVin e+2ln² e +ln€ de

A: The given integral is: I=∫θ-1ln3θ+2ln2θ+lnθ dθ

Q: Find the derivative of f (x) = (4x + 1)(5² + ®/æ ). Upload your work in the next question. The deriv...

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Q: Exact Differential Equations (16) (17) (2xy + 1)dx + (x² + 4y)dy = 0 (18) (6xy + 2y² – 5)dx + (3x² +...

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Q: the given expression :3y^2 + 6y + 7 is equal to. SUBMIT YOUR SOLUTION * none of the choices O 3(y + ...

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Q: Describe how the graph of the following function can be obtained from one of the basic graphs. g(x) ...

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Q: Find the point on the graph of f (x) = (3x + 9)/x + 2# (x > 0) at which the tangent line is horizont...

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Q: write the given expression in the form of a^2 - u2: 15 + 2t - t^2 is equal to. SUBMIT YOUR SOLUTION ...

A: Given: 15+2t-t2 To write in the form:  a2-u2 15+2t-t2 = -t2-2t-15

Q: nj 00 Write out the first five terms of the sequence with, |(1 – „4)" determine n+4 n=1' whether the...

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Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

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Q: Given the differential equation 12 y" + 5 ty' - 12y = 0 Determine the General Solution for the given...

A: This question is related to differential equation.

Q: 2. Evaluate the following functions using the given relations. f(2) = -1 ; Relation: f(n+1) = 5 - [f...

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Q: 2t – 3t2 | (c) h(t) %3D a = 1 1 + t³

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Q: t f(x) = 2x - 3 and g(x) = x + 5. %3D a. 2. g(x) = 2( x + 5) = 2x + %3D b. 5 g(x) = 5(_) = 5x +, %3D...

A: Given f(x) = 2x-3 and g(x) = x+5                a)     2.g(x)=2(x+5)                    = 2x+10 b)  ...

Q: QUESTION 4 Given f(x) = 8x3 + 2x. Estimate the value of f(2.01) using differential.

A: Given that: f(x)=8x3+2x

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Functi...

A: Slope will be same and there will be 2 equations. 

Q: he general antiderivative of a function is also called the. A integrand B arbitrary constant differe...

A: The general antiderivative of the function

Q: Scscx cotx sin (csc x )dx

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Q: dP 16. dt 11-18 Find the solution of the differential equation that satisfies |Pt, P(1) = 2 7.3: 16 ...

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Q: Find the general solution of у" -у - бу %3D 6х3 + 26 sin 2x

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Q: Let f (a, y) — 5x? — 8ӕу + 2у - fy 10х - 8y 4y -8х + 4y 10х -8х + 4у

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Q: 3cott csc? 3tdt 5. (4+30cot3t

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Q: Find the derivative of f (x) = (4x + 1)(5x² + x/x ). Upload your work in the next question. The deri...

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Q: Question 8 A True B False

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Q: To improve her handwriting, Hope practices writing the numbers from 1 to 200. How many times will sh...

A: We have considered numbers 1 to 200 in two class. The first class is from 1 to 100 and the second cl...

Q: y" – 3y' + 2y = 2x² + 1

A: The Solution is given below

Q: Find the domain and range Vx+1 1- y = 7 х-1 2 - y

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Q: State the name of the property illustrated below. 4. /8 = /8 •4 Choose the correct answer below. Ass...

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Q: Problem 1: Find the area of the surface generated when the given curve is revolved about the y-axis....

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Q: rectangular parallelepiped with an altitude of 10 cm have its width decreasing by 2 cm/min and lengt...

A: Topic:- application of derivatives

Q: 1. Using tables of values, determine the limits of the following. (a) lim (a) (b) lim)2x) (c) lim (-...

A: This question is based on Limits .

Q: the given expression x^2 - 3x + 4 is equal to. SUBMIT YOUR SOLUTION O 2ty - 2)^2 + 2 O 4(2x - 1)^2 +...

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Q: 3. (10 — 6у + е 3а) da — -32 2dy = 0

A: The given differential equation is: 10-6y+e-3xdx-2 dy=0

Q: Given points P(2, 4, 3) and Q(1, -5, 2) in the rectangular coordinate system. What is the resultant ...

A: Given points P2,4,3 and Q1,-5,2  in the rectangular coordinate system.We need to find the resultant ...