lim (In x)

Q: (iii) y= x'e**, y = sin x+eec* (iv) sec x

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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: 9–x² x2

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Q: dy for xy +e* = sin(x+1). By using implicit differentiation, find dxx.y)-(1.0)

A: Given equation: xy+ex2y=sin⁡(x+1) To find: dydx(x,y)=(1,0)

Q: 1. S Vcos 20 sin 20 d0 x²-x 2. S- dp- (x+1)

A: To  evaluate the integral.

Q: Find the general solution for the given differential equation. dy dx

A: To find the general solution of the given differential equation.

Q: Find the rate of change of the surface area of the cube when the volume is 8 cm". A block of ice in…

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Q: Problem #1: Differentiatef (x ) = [(4 x4 - 5 )(3 x2-9 x -5 ) ]3 and solve f (2). Solution: Reason:

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Q: Jon's bathtub is rectangular and its base is 16 ft. How fast is the water level rising if Jon is…

A: Given, Base, A=16 ft2, dvdt=0.7 ft3/min, We have to find dhdt,

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

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Q: 3. Consider the vector field F(x, y) = (2xy, r² – sin y). Evaluate %3D F. ds C where C is the curve…

A: We have to Evaluate given term.

Q: Find a point on the curve x' + y = 25xy other than the origin at which the tangent line is…

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Q: Find the curve whose slope at any point (x,y) is 6x^2−2x−5 if the curve is required to pass through…

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Q: 2л + 3 dx 4г2 — 4х + 5

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Q: Q5: S x dx ajconverges to 1 bjconverges to cconverges to- 4. d)diverges 25-2

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Q: (iv) 15-22 dr. u = (v) S 15 · T/9 – x² dx. 9-z (vi) J +15 da. u=

A: iv) 15x2/sqrt(9-x2) v) 15 pi sqrt(9-x2) vi) 9x/(x2+15).

Q: (b) perimeter of AABC ВС perimeter of ADEF EF 2 So perimeter of ADEF = 15cm 7.5 perimeter of ADEF 4

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Q: Given f(x) = (2x - 3)" (x+1). Determine (if any)

A: Given

Q: Approximate the area between the graph of f(x)=x^3 and the x-axis on the interval [3,5] by using a…

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Q: Find the first five non-zero terms of Maclaurin series (Taylor series centered at a = 0) for the…

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Q: The area under the graph of f(x) = 3x2 between x = 2 and x = k is 208, where k> 2. Find the value of…

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Q: dx J Vx² – 25

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Q: . Use L'Hospitalľ's Rule to evaluate lim t In 1+

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Q: Solve the initial value problem for r as a vector function of t. dr Differential equation: = -…

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Q: Determine an equation of the inverse of the function y = 5x + 2. A. y= x+ 2 X- 2 С. %3D B. y= 5x- 2…

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Q: An oil tanker aground on a reef is forming a circular oil slick about 0.1 foot thick. If the oil was…

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Q: Find the differential dy: y = In(sec² ( 3"-2*+5)). Find the differential dy: y = In(sec? ( 3-2x+5…

A: We have to differentiate given function

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: Find the derivative of h(x) tan 3x+cot 3x

A: Solving the problem by finding the derivative of the function.

Q: In a race, Molly starts running from rest at a constant acceleration of 3 m/s. She is running in a…

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Q: A particle started to move from the origin along a curve with velocity given by the function Cos T…

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

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Q: Given: points A (3, 1, 6), B (5, -1, -2), and C (1, -3, 2) 1. Show that A, B, and C form the…

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Q: Solve 4 sin(2x) – 5 cos(x) = 0 for all solutions 0 < r < 2n 2.68

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Q: 1 dx (x + 1)2 -2

A: We have to determine whether  ∫-2o{1/(x+1)2 }dx  is convergent or divergent.  Let I =  ∫-2o{1/(x+1)2…

Q: If the series E, (an)? diverges then lim,00 an + 0 Select one: True False

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Q: 3. Consider the vector field F(x, y) = (2xy, x² – sin y). Evaluate %3D F. ds where C is the curve…

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Q: Assume that the radius r of a sphere is expanding at a rate of 10 cm/min. The volume of a sphere is…

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Q: 1 f(z) = 1+ 6z

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Q: Use implicit differentiation to determine dy/dx given the equation x^5+y^2=−4

A: implicit differentiation to determine dy/dx given the equation    x5+y2=−4

Q: Let R be the finite region enclosed by the curve y = 6x(3 – 2x) and the x-axis. Let V be the volume…

A: See the solution in below

Q: 1 x2 1. Evaluate: f(x) = S, dx 2. Find the Taylo

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Q: Write the product as a sum or difference: 8 sin(20x)sin(9r)

A: Consider  8sin(20x)sin(9x)

Q: V9 – x² x2

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

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: 2x + 3 dx 4x2 – 4x + 5

A: The objective of the question is evaluate the indefinite integral.

Q: 프-3r-dx= a) 클m3x + 21+ tanx + C b)습 미3x + 21-tan'x + C Q13:J +1)(3r+2) d)흘 I미3x + 21+ tanx + C -1…

A: The integration of the integral is  (2x2-3x) /[(x2+1)(3x+2)].

Q: Question 1 6n + 2 6n+2 Let and an 5" 5" n=1 an+1 a) Find lim an 6n+2 b) Determine whether 2 is…

A: Given query is to find series converges or diverges.

Q: .9

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Q: Basic Coatalus 1. f(x) - f(xth) = 5(x +h) - 3 Sx - 3 lim 5(x+h)-3 [5x-31 56 +5h -3 - 5% +½ 1. lim…

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