what is half of 3 and how

Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

A: we know the work needed to stretch the spring W=12kx2 where x is the elongation. x=xf-xi=45-30=15…

Q: Find average Value of f(x)=X³ on [1,2]. Then find Point CE [1,2] meun € [1,2] quaranteed by the…

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Q: Obtain the general solution to the equation. (dy/dx)-y-e^3x=0

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Q: Using Simpson's method [x³dx for n = 6 is equal to Blank 1 (use 2 decimal places with proper…

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Q: B. By using the n-th root test method, test the convergence of the following series: Σα-Απ n=1 Q.2…

A: Solve the following

Q: A company's Business Strategist determines that the total sales, in thousands of dollars, for a…

A: Solution: Given equation: f(l) = 700 +471log2(l)

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

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Q: (b) Graph the equation x² + 2x +9y² +9z² = 8, labelling the coordinates of the center and one vertex…

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

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Q: A plane flying horizontally at an altitude of 2 miles and a speed of 510 mi/h passes directly over a…

A: Given problem:- A plane flying horizontally at an altitude of 2 miles and a speed of 510 mi/h passes…

Q: Draw a graph to match the description given. G(x) is decreasing over (-∞0,0) and (8,00) and…

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Q: Using Rationalizing Substitution x+1 -dx = y² + 4y+ 4in(y-1) + C. express the final answer in terms…

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Q: π Find the area of the plane region, 0≤x≤ bounded by y=sin X. X = and the = 플 1 2 1.111 s.u. O π²-4…

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Q: 3- Determine f"(x).. F(x)= cosx cotx

A: This question is related to differentiation, We will solve it using given information.

Q: Find the lengths of the curves in Exercises 1-2. If you have a grapher, you may want to graph these…

A: Concept:  For y = f(x) in the Cartesian coordinates defined on interval a,b  The curve length is…

Q: 2 A=[²2 1 4] IF A= 2 and B= 3 2 L3 4 31 1 2] Find AB :

A: Matrix multiplication is always done from each row to each column, i.e., row to column…

Q: 7* +(7)* 2 7. If А. 2 О A О в О с о D оо =1 then x= B. 4 С. 1 D. 0

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Q: If f(x) = 5x¹(²), find ƒ'(6) to 3 decimal places.

A: The given function,   f(x)=5xlnx

Q: In Exercises 1-3, find the solution of the given IVP. 1. d²y dy +4 dt² dt 5y = 0 2. y(0) = 11, y'(0)…

A: Please re-upload the other two questions.

Q: 9(1²-5) 5(x² +1) ³ 00 9x Evaluate 1e 1₁th to dx. (x² + 1)3/5 (Express numbers in exact form. Use…

A: Solve the following

Q: In 12 The value of the definite integral 1² √ex - 9 dx is in the form F(b) - F(a), where a and b are…

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Q: 2. Evaluate f(x) dx if f(x) dx = 5. 2 A. 5 B. -5 C. -2 D. 2

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Q: 5. Evaluate the integral 2 c2x x2 (x² + 2y³) dy dx.

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 105 e…

A: Find out the population models.

Q: dx √x-3√x X ffv)dy, find fly)

A: solution:-∫64729dxx-x3dx=∫64729dxx12-x13dxlet x=y6 or y=x1/6x=64,     y=641/6=2x=729,…

Q: 2) If the function of is odd function (i.e. f(-x) = - f (x)) then, the Fourier transform of f(x) is…

A: Please see the below picture for detailed solution.

Q: 3 2. Find the area bounded by the two curves y = x³- 6x² + 8x and y = x² - 4x.

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Q: Find dy dx the function y=2 sin 3X cos 2X

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Q: dy dx 4x + y 2x+y

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Q: Condense the expression to a single logarithm using the properties of logarithms. log (x) - log (y)…

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Q: Find the polar coordinates of the point with Cartesian coordinates (−2, 3)

A: topic-Cartesian coordinate to polar coordinate conversion

Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

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Q: (x + 1)² (y-8)² (v-8)² = 1 - + 9 81

A: Given query is to find the conic form.

Q: an f (b) For a positive integer n, find the n-th partial " azn derivative off with respect to z, for…

A: Solved below.

Q: Use the Limit Comparison Test for 00 10n² + 16 Σ an = Σ n(n - 12)(n-12) n=21 n=21 to prove…

A: Solve the following

Q: The velocity (meters/second) of an object at time / seconds is governed by the IVP: 1 dv k dt + v =…

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Q: B. Find the general solution of the following differential equation xyy' = ¹+y² 2 1 100

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Q: Find sin 0 and cos 0 if tan 0 sin = 3/5 sin = -3/5 sin = 4/5 sin = -4/5 cos = 3/5 cos = -3/5 cos =…

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Q: 3. A function g(x) is a probability density function function g(x) = -&- 5z 5e is a probability…

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Q: 0# 7' 7P VE 1-₂72 +67

A: topic - indefinite integral

Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x (-x² + 3x + 4)dx…

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Q: art 1: Evaluate the following linear equation for the given alues. - 2x - 4 -3 -2 3 5 art 2: Graph…

A: Given, y = -2x -4

Q: Determine whether the given equation is separable, linear, neither or both.  (t^2+1)dy/dt=yt-y

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Q: Differentiate f(x) = ln(tan 5x). Use exact values. f'(x) =

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Q: 5. How is -28 can be express as rational number with numerated the number 4? 84

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Q: C. Graf the function of y-5x" if n=3 1. O 1 O 2 2. yax' LEVIC

A: Given data Graph the function y=5xn Where , n=3

Q: 729 dx "Son √x - √√x" 64 Using Rationalizing Substitution a=2, b=3 a=8,b=27 a=64, b=729 a=4, b=9 =…

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Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x (x²-3x-4)dx (5+…

A: The given region are:y=x+4 and y=x2-2xTo find the area.

Q: Find the volume of the solid generated when the region bounded by the curve (x - 5)² = 4 - y and the…

A: Given:-the region bounded byx-52=4-y  and the x-axisrevolving about the line x=2using cylindrical…