5x−12/x^2−x−42 has vertical asymptote(s) at x=

Q: A sample population of strands of the bacteria is increasing at rate proportional to the population.…

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Q: Find the general solution using Reduction of Order: y''=2lnx

A: Explanation of the answer is as follows

Q: the estimate of solution to x=2^-x to 4 decimal places is what?

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Q: Pilar owns a parcel of land whose value tyears from now will be V (t) = 8000e" dollars. If the…

A: Given: Pilar owns a parcel of land whose value t years from now will be V(t) = 8000et dollars. The…

Q: A point is moving on the graph of y³ = x². When the point is at (-512, 64), its y coordinate is…

A: Given, A point is moving on the graph of  y3 = x2. When the point is at -512, 64, its y coordinate…

Q: Show that √(10x + 1) and √(x + 1) grow at the same rate asx→ ∞ by showing that they both grow at the…

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Q: The city of Anville is currently home to 21000 people, and the population has been growing at a…

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Q: FIND THE DERIVATIVE BY THE LIMIT PROČESS OFF(x) = Vx+2.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the general solution using reduction of order. 1. y''=ln(x)

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Q: Solve by Chain Rule y = tan ( V3x² + In(5X*))

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Q: You have a large metal box filled with honey, where the width is 14 cm, the length is half its size,…

A: For the metal box, it is given that width is b=14 cm, Length is half of width, l=7 cm,  Volume is…

Q: Use differentials to estimate (2.03)4

A: Given: To find differentials to estimate (2.03)4

Q: Find y double prime using implicit differentiation5x^3+4y^3=1

A: We have given,

Q: In 1934, the Austrian biologist Ludwig von Bertalanffy derived andpublished the von Bertalanffy…

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Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: If f(x) and g(x) is any function then, If limx→∞f(x)g(x)=∞ then f(x) grows faster than g(x). If…

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given: The population of the world in 2015 was 9.75 billion people and was growing at a rate of…

Q: Show that Costy+ Co5' (-x ) = TT.

A: To show that the given identity is true,

Q: The maximum value of y = cos x for - < x< is 1

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Q: Suppose the amount of oil pumped from one ofthe canyon wells in Whittier, California, decreases at…

A: We know that general exponential function is  y=y0e-kt California, decreases at the continuous rate…

Q: fx て (X)

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Q: Estimate x² dx using left endpoints for n = 4 approximating rectangles. 3 x² dx is approximately

A: The equation of the integral function is ∫03x2dx. The left endpoints is n=4.

Q: 8. Find the Laplacian of Ø = xy²z³

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Q: At time t years an industry consumes fuel at the rate of /(2t + 9) million barrels per year. If the…

A: Linear equation are those equation in which highest power of the variable is 1. The linear equation…

Q: sketch the shifted exponential curves

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Q: 5) Explain why the definition of a numerical derivative does not exist at x = 2 in the graph shown.…

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Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional te…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: fx=x2lnx gx=ln2x⇒gx=lnx2 limx→∞fxgx=limx→∞x2lnxlnx2limx→∞fxgx=limx→∞x2lnx

Q: Suppose stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two…

A: Given: stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two…

Q: Approximate the derivative of f(x)-x3+4x2-10x+5=0 at x=3 using the forward, backward and central…

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Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: fx=lnx,  gx=ln2x

Q: Sketch: f= (X -2(4x21xtle) 60 16 (8x2TIOx13) X- intercept: Domain Y-intenept Vertical Asymptote Sant…

A: Graph the function f(x),

Q: 1.) If the ball IS Thrown. vertically upward with a veloorty of 15 m/s then ts height after t…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose that P0 is invested in a savings account where interest is compounded continuously at 3.1%…

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Q: Suppose that a car accelerates at a rate of a(t) = t – 7 meters per second. Use the Fundamental…

A: ANSWER :

Q: Solve.  ln(sqaure root of z/xy)

A: We are given logarithm expression as

Q: Find y double prime by implicit differentiation8x^2+y^2=4

A: We have given

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A: Given function  y = sinx on  0≤x≤2π

Q: The marginal cost function for the manufacture of wireless headphones is given by: C0(x) = 20 −x200…

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Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

A: The given Revenue function R(x)=23x3-40x2-450x.  Task: To maximize this revenue function.

Q: 1. A 50-cm high trough filled with liquid is 200 cm long and has a cross-section of an isosceles…

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Q: Jesaki Inc will sell N units of product after spending $a thousand in advertising, as given by N=71…

A: Take the derivative both sides and substitute the values then simplify.

Q: Suppose that the first derivative of y = ƒ(x) is y′ = 6x(x + 1)(x - 2). At what points, if any, does…

A: Here the first derivative of the given function is y’= 6 x (x+1) (x-2). If a function has zero…

Q: Find the PV of an income stream that pays out continuously at a rate R(t) = $5000e0.1t /year for 7…

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Q: It is projected that x years from now the population of a certain city will be changing at the rate…

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Q: A money market fund has a continuous flow of money at a rate of f(x)=1500x-170x2 for 10 years. Find…

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Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: Use limit methods to determine which of the two given functions grows faster, or state that they…

Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: We know that from the limit method, a function fx grows faster than gx if and only if limx→∞fxgx=∞…

Q: In( cosh(3x) - sinh(3x) )=

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Q: Suppose to tal cost indollars from the production of X printers is given by C/X=.000xt o005x²+28X+…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.