The power series representation of 1 f (x) = 5x + 4 is: 5 25 125 x+... 256 | - 4 16 64 125 x+... 256 5 25 - 16 64 3 5 25 125 +-x-- -x+x+ +... 4 16 64 256 none O 1 4 16 + x2 5 25 125 64 -x'+... 625 - |+

Q: sin(x²) Evaluate lim 140- e2r – 2x – 1

A: Topic = Limits

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Q: 3x5 dx - x3

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Q: Lim 3 128 2 J

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Q: sin(x?) Evaluate lim 1+0- e2r – 2x – 1°

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Q: iv. L, x* (e* – e*) dx

A: Given:

Q: V9 – x² x2

A: Given: I=∫9-x2x2dx   ...1   As we know that; The trigonometric identities; 1). sin2x+cos2x=1 2).…

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Q: Find the linearization L(x.y) of the function at each point. f(x,y) = x2 + y2 + 1 а. (3,2) b. (2,2)…

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Q: 2. of the image graph in terms of x? y 2-3 C. y= 2(1-x+2|- 3) D. y= (1-2x+ 2|-3) A. y= -|2x +2|- 3…

A: Consider the graph

Q: Q.NO. 1 A box contains cards numbered 6 to 50. A card is drawn at random from the box. The…

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Q: 1. Find the absolute extrema, if any, of the following functions on the given interval. (a) f(x) = 4…

A: Given:     a) fx=4-3x ; (-1,2]           dydx=ddx4-3x                   f'x=-3   There in no…

Q: Find the genekat Sotutionsto the differentiat -or Special

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Q: Solve the following initial-value problem. f′(x)=2 3√x+3x^2, f(0)=6

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Q: Find the area of the region in question Area =

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Q: 4x +2 lim x→∞ x-7 f) Evaluate:

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Q: 4. Let F = (3y cos(3z) + 4z)i+ (3+ sin(3z))j. Use the Fundamental Theorem of Line Integrals to find…

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Q: Find the Taylor polynomial of order 3 generated by fat a. f(x) = x2 +x+1, a=2 O A. P3(x) =7+5(x- 2)…

A: f(x)=x2+x+1f(2)=4+2+1 =7f'(x)=2x+1f'(2)=4+1 =5f''(x)=2f''(2)=2f'''(2)=0

Q: Evaluate the improper (i) (2 – 2)-i dx

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

Q: dªy d³y -4. dx4 „d²y -6· dy dx3+ 7 + 2y = e-* + xe¬× dx dx2

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Q: 3. y = e-x and the x axis is revolved about the y – axis. (Answer: t C. u. )

A: Let's find.

Q: .C find the firet order parhal dervohve f 4.5 1. z) = e 32 W="y - 10y2³ + 432 hCs, t) =° t?In ts) +…

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Q: 15 x2-35 + 25 A B Let f(x) The partial fraction decomposition of f(x) where A, B, C EZ. (x - 1)(x…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 3…

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Q: dz dz Draw a dependency diagram and write a chain rule formula for and given the functions below. ds…

A: 1. D  2. D

Q: 2x J(x – 3)2 A = 6, B = 2 A = 2, B = 6 A = 2, B = - 6 A = - 2, B = - 6 A = - 2,B = 6 None of the…

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Q: What are the local extreme values of the function f(x) = x' – 3x + 2? a. None of these. O b. Local…

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Q: Let f(x) - 16. The arc length of the graph of f(x) over the interval [5, 9] is given by the definite…

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Q: A particle is moving along a horizontal path which starts at a distance of 5 ft to the right of a…

A: Let's find.

Q: Vx-a?

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Q: Consider the function f(x) = 5 + 4x? on the interval [1, 3]. Let KER be such that K = max f"(x)|.…

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Q: V. ASSESSMENT (Time Frame: (Learning Activity Sheets for Enrichment, Remediation, or Assessment to…

A: Given

Q: In a race, Anita Hurrie walks 100 m due east and then walks N70 E for 60 m. How far is Anita from…

A: First draw the diagram then make a vector ..and then find the magnitude of this vector. And use the…

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Q: sin(x²) 1+0- e2r – 2x – 1° Evaluate lim

A: This question is related to limits, we will solve it using given information.

Q: Q3: A. By power series, prove that: d Cosx = -sinx dx B. Find the value of x for which Inx + (Inx)²…

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. - 14n…

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Q: Rationalize the denominator. Vx - 9 6/x

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Q: 1. Find the total differential dw. 2. w = re2u +e-V

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Q: Determine any critical point(s) for the function f(x)=  -3 / x2 - 9

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Q: Given f(x) = 2x + 4, what is the value of (1)? Select the correct response: 1 O 2 O 4

A: Note to student :    Thanks for posting your queries. But there are multiple questions given. As per…

Q: Cx)= Ex> is add even?

A: We need to determine if the function is even or odd.

Q: 1. Find the centroid of the semicircular area inside x? + y² = a²_with y> 0 Answer:

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: dx - メ+イ

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Q: 7. Simplify and evaluate. (2x³y²)³ a) (x’y (9y)? b) for y=-2 (3y*)

A: Given: a)2x-3y23x3y-42b)9y23y-13