How long will it take for an investment of $3,000 to double in value if the interest rate is 6.5% per year, compounded continuously? Please round your answer to two decimal places.

Q: Determine the points of discontinuity for the following. 2x+5 f(x) = X-7x+6

A: F(x)= (2x+5)/(x^2-7x+6) Factorise the denominator F(x) = (2x+5)/(x-1)(x-6) Denominator can not be…

Q: Answer true or false. If f is not piecewise continuous on [0, co>), then L{f(t)} will not exist.…

A: The given statement is

Q: C: boundary of the region lying between the graphs of y = 0, y = √x, and x = 9

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Solution of given question is written in below steps.

Q: 4 ANSWERS Screenshot (1603) y + 4y = 1²-t +7. Screenshot (1597).png Determine the values of r for…

A: Need to find out the solution and also the values of r

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral L{f(t)}…

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Q: Which is the center and radius of the circle given by the equation, x² + y² - 6x 10y + 11 = 0?

A: The answer as follows:

Q: Consider the function f(x) = 1 - 2x², -4≤ x ≤ 2. The absolute maximum value is and this occurs at x…

A: Given: fx=1-2x2, -4≤x≤2   As we know the Power law: ddxxn=nxn-1 For maximum and minimum values,…

Q: Find the solution of the given initial value problem in explicit form. y' = (1 - 11x)y², y(0) y(x) =…

A: Given initial value problem is : y'=(1-11x)y2,   y(0)=-14

Q: Find the general solution of (x + xy²)dx + ye²² dy = 0. O ln(y² + 1) — 4e-2²² = c - O e²+2 ln(y² +…

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

Q: For any vectors u, v and w, show that uxv=uxw does not always imply v = w. Prove that u v ≤ ulv, and…

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Q: The area under one arch of y=sin(0.5x) is O 0.2 O 0.5 O 0.8 None of them

A: Given: y=sin(0.5x)

Q: Find div F and curl F if F(x, y, z) = 9y¹zºi – 14x³z7j — 5xy³k. div F= curl F=

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Q: -5-4-3 fa 7 The function graphed above is: Increasing on the interval(s) Decreasing on the…

A: Given data÷

Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s)G(s))} = f(t)g(t). True False

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Q: Determine whether the series Σ=1 (Limit Comparison Test) 2n²+3n √5+n5 converges or diverges.

A: Given :∑n=1∞2n2+3n5+n5

Q: Hole with r=2 O 5 4

A: Let the lenght of the rectangular prism be=l        the width of the rectangular prism be=b and the…

Q: 1. Ella thinks that if a function is positive over an interval, then its derivative is also…

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Q: 1. Solve the Question Integral Sub Parts 1 A-C [cos¯¹x{√√(1-x²)}]¯¹ sin 2x (1-x2) A.S. log 1+ IL B.…

A: Disclaimer: since you have asked multiple question , we will only first for you.if you wants to be…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given that,            The solid is obtained by rotating the region bounded by the given curves…

Q: 9 Given f(x): = =, find f'(x) using the limit definition of the derivative. x f'(x)=

A: The given function is fx=9x

Q: Ľv 3x² - 2x + 3. (3x - 1). dx O -4.87 -3.92 -2.22 O -1.67

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Q: function f is given, and the indicated transformations are applied to its graph (in the given…

A: Given the query is to find the equation of the the function after transformation.

Q: Consider the function f(x) = 6 - 7x² on the interval [ — 4, 3]. Find the average or mean slope of…

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Q: please write on the paper. I dont know how to write it. Thank you

A: Given function:- f(t) =(e2t -e-2t)2

Q: Solve the given differential equation. All solutions should be found. dy dx e5x+10y ot (1603) NOTE:…

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Q: hot (1603).png the given initial hot (1597).png Determine (without solving th Find the solution of…

A: Here we have to solve the differential equation.

Q: Evaluate the following limits. Show complete work x² - 4 X-2 X-2 a) lim b) lim (√x²+1-x) X→∞

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Q: 1. Choose a solution to the differential equation y" - y = x²e² + 5.

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Q: Approximate the area under the curve graphed below from x=2 to x = 6 using a Left Endpoint…

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Q: Use linear approximation, i.e. the tangent line, to approximate √81.1 as follows: Let f(x)=√√x. Find…

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Q: A solid right circular cone is made of brass. The mass of the cone is 5080 grams, to the nearest 10…

A: Formula to calculate :-Density=MassVolumeVolume of the cone=13πr2hwhere r=radius of the base of the…

Q: 6 5 4 3 a The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)

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Q: sider the following function. y = 6x In(x) y'(x). () = dy"(x). x) =

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Q: 4. Choose a solution to the differential equation y" + 3y' + 2y = sin eº. -2x -2x cos €² e + e е -2…

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Q: Differentiate the following functions. Show complete work f(x) = (tan x)*² b) _g(x) =…

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral Lif(t)}…

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (3t+1)i + tj, 0sts 1

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Q: o PROBLEM 9: Consider a circle of radius 1 centered at the origin and an angle of 8 radians, 0 <8<,…

A: answer is in next step. please give a like!!

Q: For an arithmetic sequence, a17 a1 = the sum of the first 65 terms= > Next Question - 47. If the…

A: It is given that, a17=47 and common difference(d)=5 a1=? Sum of the first 65 terms=?

Q: If Nx - My M equation = Q, where is a function of y only, then the diffe has an integrating factor…

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Q: 5. Find (In 3) for a solution (y + x² e) dx - xdy = 0; y(ln 2) = 0 (x) to the initial value problem…

A: The given equation is; (y+x2ex)dx-xdy=0; y(ln 2)=0

Q: Let y = sin(5x). If Ax = 0.4 at x = 0, use linear approximation to estimate Ay Δy ~ Find the…

A: Given: y=sin(5x) ∆x=0.4  at x=0   Solution: y=sin(5x) For the function y=f(x),   ∆y=f(x+∆x)-f(x)…

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Here, the given function is: f(x)=y=x9-9x

Q: 811. Given a geometric figure, one can ask for its centroid, which is - roughly speaking - the…

A: Given:  A unit semi circle.  We need to find the y co-ordinate of the centroid of the unit…

Q: 4. an = 6n 5. a = 6. 2n+2 a = (-2)n-2n

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Q: Find f such that f′(x)=8x​, ​ f(4​)=47.

A: Given, f′(x)=8x​,​ f(4​)=47.

Q: 21. If u = - y+z a) 0 Z z+x x+y b) 1 ди then the value of x + y + z 2 is: c) u d) None 22. The…

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Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the…

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