Find the exact length of the curve. y = (1 + x²)3/2, O 18 3 22 3 20 3 10 3 0≤x≤2

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Q: If $14,000 is invested and interest is compounded quarterly, determine the amount of the investment…

A: A=P1+rnnt ⇒A=Amount at time t⇒P=initial amount ⇒r=rate of interest ⇒t=time in yearsn=compounded…

Q: Solve the initial value problem. Chapter 6, Section 6.2, Go Tutorial Problem 16 Find y(t). O O O y…

A: The given differential equation is; y''-2y'+2y=e-t ; y(0)=0, y'(0)=5.

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A: Let's solve given integration.

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A: Topic:- application of derivatives

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Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

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Q: If lim x→3 f(x)-4 x-1 = 2, then lim f(x) = x →3

A: To find the limit of the function at x=3.

Q: f(x) is concave down on the interval (a, b) if f'(x) is decreasing on True False (a, b).

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Q: Find the sum of the series, S. τη Σ 2mn! n=0 S =

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Q: Find the maximum value of f(x, y) = -7x²+2x+4y² +4 on the region x² + y² ≤ 25. Enter an exact…

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Q: Find a particular solution for y" + 4y = 8 sin(2t)

A: To find a particular solution for the following differential equation.y''+y=8 sin2t

Q: e Fundamental Theorem of Calculus Part II to find the derivatives of foll (2) = √²* √√₁ + 1³ dt

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Q: 2. Let a be a real number, and consider the function h: (-∞, a) U (a, ∞) → R defined by h(x) A. The…

A: The limit of a function f(x) at x=a exists if and only if the right hand limit and left hand limit…

Q: BOTTOM LINE QUESTION Find the exact area under the curve f(x)=x²e* from x=0 to x=2. Show your work…

A: I am attaching image so that you understand each and every step.

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Q: a) 5e4x = 285 b) logs 2x + log5 3 = 2 c) 4+7ln(x) = 60 (exact answer, no decimals) Solution x =…

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Q: Oct 23, 9:35:15 PM A particle moves along the x-axis so that at time t 0 its position is given by…

A: Given query is to find interval where speed is decreasing.

Q: When f (x) = -3x-7 x+3 is graphed, it has an oblique (slant) asymptote at y = ax + b. Find the…

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Q: Find the derivative of the function. 14 logg(t) t g' (t) = g(t) =

A: Topic = Derivative

Q: A tank contains 70 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. The…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t…

Q: Find the inverse transform of the given function of s. 5 F(x)=-=-/ (A) There is no correct answer…

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Q: What initial investment at 7% compounded continuously for 9 years will accumulate to $70,000? (Round…

A: We have to find the initial investment at 7% compounded continuously.

Q: If f(x) f"(2) = x2 4 + X find ƒ”(2). x

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Q: Evaluate the function for the given values of x. h(x) = Part 1 of 5 3 for -3 <x<-2 2 for -2<x<-1 1…

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Q: A particle moves along the x-axis so that its velocity at time 0 7 or (₂) Submit Answer U ∞ > [₂]…

A: slope of velocity vs time graph represent acceleration  and where  slope is positive indicate that…

Q: Find y" by implicit differentiation. 2x² + y² = 9 y" = x

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Q: Determine the area of the region bounded by two the curves f(x) = x² - 18x +36 and g(x) = 9x + 18.

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Q: 1. A chord passing through the focus of x²= 8y has one end at the point (-8,8). What is the other…

A: As per our guideline we can solve maximum one question you can repost other question

Q: Write the equation x+5y=20 in the slope-intercept form, then use the slope and the intercept to…

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Q: An initial investment of $30,000 is made in an account where interest is compounded continuously. If…

A: An initial investment of $30,000 is made in an account where interest is compounded continuously. If…

Q: Let f(x)=√4x² + 4x + 2 f'(x) = f'(4) = (round to 3 decimal places)

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Q: Find the absolute maximum and absolute minimum of the function f(x) = 2 sin (x) cos (x) over the…

A: Please see the below picture for detailed solution.

Q: Question 2 Find the oblique asymptote of the graph of y = Oy=x+1 y=x+4 Ⓒy=x-3 Oy=x-1 y=x x²+2 2-1

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Q: Find an equation for the plane that is tangent to the surface z = In (x + y²) at the point P(0,1,0).…

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Q: Suppose that three parameters of a gas: Pressure P, volume V, and temperature T at all times t are…

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Q: Write an equation for line L in point-slope form and slope-intercept form. L is parallel to y = 3x.…

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Q: The graph of a function is given. Draw the graph of its derivative. 13) + -15 -10 + -5 15- 10+ 5+…

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) 6 1 -…

A: Let's convert given polar equation to rectangular coordinates.

Q: 2. Given r(t) = (2, e³t-3, 6t+2) with r(1) = (2, 1, 7) and r'(1) = (2,0, 5), find r(t).

A: The objective is to find r(t).

Q: Suppose that the function graphed below is f'(x), the derivative of f(x). Find the locations of all…

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Q: Find the sum of the series, S. Szön n! S = Σ n=0

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Q: Find the inverse Laplace transform L-¹{F(s)} of the given function. 12 s² + 16 Your answer should be…

A: To find the inverse Laplace transform L-1Fs of the given function.Fs=12s2+16

Q: To calculate the integral 3 /VR²³116 dr dx x² + 16 we want to make the trigonometric substitution

A: To solve the given integral.

Q: What initial investment at 8.5% compounded semiannually for 3 years will accumulate to $15,000?…

A: Let $P amount be invested at r% interest rate compounded semi annually then after t years it will be…

Q: 1.y = 3x cos=-9sin 2y=2csc(1-3x) tan 2x 3.y=1-cot 2x

A: According to our guidelines we can solve first 3 questions please upload remaining…

Q: If f(x) = √√7 - 4x, find a formula for f-¹(x).

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Q: esigning a Norman Window  A Norman window has the shape of a rectangle surmounted by a semicircle.…

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