Let f(x) = √√2 x ln(2x - 1). Use the local linear approximation of f(x) at xo = 1 to estimate the value of √1.02 In (0.96).

Q: Find the sum of the series. 8 n = 0 (-1)^²n 62n (2n)!

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Q: Q1.2 Part 1: Integral Q1.1 Response: ICGvernment of Western Australia South Metropoistan TAFE…

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Q: i. Evaluate the following integrals 2. S (²/²² - 12/17 - 1²/1) dx a. 3 √x x3

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Q: 165. Use Green's theorem to evaluate S (y² + x³) dx + x^dy, where C+ is the perimeter of square [0,…

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Q: Find the first few terms of the Taylor series centered at x = 0 to evaluate: cos a 1 x² lim z-0

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Q: Express the sum without using sigma notation. Simplify your answer 10 n=8 n8(1+n+n²)

A: Topic = Algebra

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: -0.008t² + 0.6t, = Suppose that in a memory experiment the rate of memorizing is given by M' (t)…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find(rr) r d d/ (1₁•1₂) if x = ( 2 ₁ √ ². e²¹ ) and r₂ = (7, In (2),1).

A: Solve the following

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A: Given:- Px=400015-xx-2 Px=Profit function to produce x hundred units

Q: If the limit does not exist, enter Ø. Sorry, that's incorrect. Try again? - 9)) = lim (sin(n+9) n→∞…

A: Given query is to find the Indicated limit.

Q: Find f"(-1) if f(x) = 1 - 2x³. Answer:

A: Solve the given

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A: Given query is to find the initial temprature.

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A: Let y denotes the fraction of population who heard the rumorThen 108,000 -y people not heard the…

Q: Suppose that a particle moves along a straight line with velocity v(t) = 75t, where 0 ≤ t ≤ 1 (in…

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Q: 1 + (2²2₂2²) + 4·3

A: To simplify the following expression.1+2·92+4·3

Q: 5) Find, using Cylindrical Coordinates, the volume of the solid that is enclosed by the cone and the…

A: Cylindrical coordinate

Q: 10 ľ 0 5x dx

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Q: (Use a comma to separate answers as needed.)

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Q: Find the derivative of (a) - (b): (a) (b) y = ln x-4 2x+5 y = ln (csc x - cotx) (c) Find the…

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Q: Use cylindrical coordinates to evaluate the 1 triple integral | // √ x² + y²d V ₁ where E is the…

A: We can find the integral .

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per day…

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Q: (x√x² + y² = y)dx + (y√x² + y² − x)dy = 0 -

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (1) =( 9-1², 7²²_,,sin (√1² −9)) Find the domain of the vector function, r(t) = {

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Q: Solve the following DE: x³ydx + (3x4-y³) dy = 0 O 15x5y 10 2y ¹2+ C ○ 4x6y 10 = 3y ¹2+ C 12 O 15x4y…

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Q: UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. BOX THE FINAL ANSWER. Subject:…

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Q: Determine the location and value of the absolute extreme values off on the given interval, if they…

A: we know that absolute maximum and minimum occur either at end point or at critical point so first…

Q: B. y = x² - 2x, y = x

A: Given query is to find the area of the region Bounded by the graphs.

Q: L.

A: we have to find taylor polynomial of function  f(x)= ln x of degree 4 centered at 1     f(x)=lnx…

Q: Question Find the general solution to the following differential equation: Use "C" for the constant…

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Q: Find a function f(x) such that ƒ'(x) f(x) = – 6x² – 1 and ƒ(0) = 5

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Q: Solve the following DE: y'=y-xy³e-2r 2x O e²¹ = y(x² + C) O e²=y²(x²+ C) Oe-²x = y²(x+C) Oe-²x =…

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Q: 9. Differentiate the following function 3x 2x + y = 3y² + 1

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Q: Write the standard equation of each hyperbola and the equations of the asymptotes: i) Center at the…

A: As per the requirement of the student part iv has been solved.

Q: You are given the following graph of the function f(x): -Find the point where the second derivative…

A: Here we have to find the points.

Q: 5 12 Given: tan e = 2 determine the exact value of the expression (sin )(cot ). " and e<T,

A: Given tanθ = -512

Q: Expand: log √a²b³ O loga + log b 3 ○ log a + ²log b O logo a -log, b ○ 2log a + 2log b

A: Expand

Q: Find the first four nonzero terms of the Binomial Series for f(x) = (1+x)-¹/²

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Q: Choose the value of 0 for which both of the following are true: √3 2 cos(0) sin(0) π/2 π/6 π/8 π π/3…

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Q: 1. Consider the function f: [-3, 2] → R defined by f(x): = x² + 4x when 3 x < 0; -x³ + 9x² - 15x…

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Q: Determine whether or not the vector functions are linearly dependent. a) O Linearly independent. U1=…

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Q: 184. Use Green's theorem to evaluate line integral z²ydä – xy²dy where C is a circle x² + y² = 4…

A: The given line integral is: ∫C x2y dx-xy2dy     where C is: x2+y2=4

Q: lim h-+0 (sin h)/h- cos h h²

A: Evaluate the limit using Maclaurin series limh→0sinh/h-coshh2=?

Q: 9. A company is selling calculators for $100 each. How many should it sell to break even if it costs…

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Q: oose an appropriate value for u that would allow you to solve the following integral using the…

A: Given query is to find the value of u.

Q: dy dx 1 x(y-3); = 4y

A: