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Q: Suppose that y varies inversely with x, and y=6 when x=3. Write an inverse variation equation that…

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: The given initial value problem, y'+9y=e-9t, y0=1 We have to solve this problem using Laplace…

Q: 6 -3 [-2-3) -2 1 1.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: At the beginning of an experiment, a scientist has 260 grams of radioactive goo. After 75 minutes,…

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Q: 4 Find the derivative of f(x) = x¹ log7(x + 4.5). f'(x) =

A: Given that f(x)=x4log7(x+4.5) Differentiating with respect to x…

Q: (1 point) Suppose that f(x) is a function with f(125) = 52 and f'(125) = 9. Estimate ƒ(127) f(127) =

A: See this solution in below.

Q: Express the integrand as a sum of partial fractions and evaluate the integral. √6x² + 2x +7 dx 3 X…

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Q: Find the arc length of f(x)=ln|x| over [1,3]. Round answer to two decimal places

A: We will find the required arc length.

Q: Which is a better investment? 08% compounded quarterly. 08.3% compounded annually.

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

Q: tanh x = 12/13, find the values of the other hyperbolic functions at x.  *please use hand writing…

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Q: Find the gradient of the function at the given point. Function Point f(x, y) = x + 2y (1, 3) y + 1…

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Q: Let f be the piecewise-defined function [a²x² + 112 if x > 2 a + 124 if = 2 2a²x² f(x) = if x < 2…

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Q: Evaluate the limit analytically (that is, without using a graph or table). x² + 11x + 24 x + 3 lim…

A: We solve the given limit by factoring numerator and after that simplifying common factor with…

Q: 3. Given h(x) = 3 ln(1 + x²) + 8 arctan(x), find all x where h"(x) = 0.

A: Topic - inflection point of a function We are given h(x)=3ln(1+x2)+8arctan(x)we know…

Q: Determine by integral test the convergence or divergence of the series - /n+4

A: For the following problem,

Q: 1. 2. * Your answer is incorrect. Solve the initial value problem y" - 5y36y = 0, y(0) = a, y'(0) =…

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Q: -4z The function f(x) = (7x - 7)e` x = has one critical number. Find it.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Consider the integral 5 Š x√x If the integral is divergent, type an upper-case "D". Otherwise,…

A: NOTE: Refresh your page if you can't see any equations. . here the function is

Q: Graph f(x) = X (G) O A. and g(x) = log 1/8x in the same rectangular coordinate system. Choose the…

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Q: A typical cup of coffee contains about 80 mg of caffeine and every hour approximately 16% is…

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Q: ASK YOUR TEACH The sum of the perimeters of an equilateral triangle and a square is 17. Find the…

A: Given data÷ Sum of perimeter of equilateral triangle and square is 17. We need to find the…

Q: Find each limit, if possible. (If an answer does not exist, enter DNE.) 7x +5 (a) lim (b) lim (c)…

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Q: 3π Find the area of the sector of a circle with diameter 36 feet and an angle of radians. 5 Round…

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Q: ************** A cylindrical package to be sent by a postal service can have a maximum combined…

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Q: At what nominal rate compounded continuously must money be invested to double in 2 years?

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Q: #6) Evaluate the function. If the value is not a rational number, round your answer to three decimal…

A: Given a) cschln2 b) cothln7

Q: Consider the graph of y = f(x). -8-7-6-5-4-3-2-1 " (b) lim f(x) = 112 (c) lim f(x) = *→-2+ Do cy m…

A: find the limits from the function graph

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t)= 0.041³…

A: Given S(t)=0.04t3+0.8t2+4t+3We need to find(A)S'(t)(B)S(7) and S'(7)(C)Interpret S(13)=278.08 and…

Q: Find and simplify dy dx y = sec³ (sin(e³x))

A: Topic = Derivative

Q: Find and classify the critical points of f(x, y) = x³ + 2xy + 3y². Local maximums: Local minimums:…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Working in radians, find an estimate of the solution of the differential equation dy = 2y cot (x) +…

A: Given differential equation: dydx=2y cot x +ex sin2x To find the estimate of its solution at point…

Q: Find the indefinite integral. (Use C for the constant of integration.) sinh(1 − 6x) dx

A: The given integral: ∫sinh1-6x dxWe need to evaluate the indefinite integral.

Q: Find the maximum rate of change of f(x,y) = ye¯x + xe¯ at the point (x, y) = (0,0) and the direction…

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Q: Find direction Vector a that has the same as (-6,5,67 but has length 4

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Q: The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level…

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Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x, y) = 6x +9y 2x - 4y

A: The function is given by fx, y = 6x+9y2x-4y To determine: The expressions of the partial derivatives…

Q: Solve the differential equation. dy dx 6x²y² for y # 0

A: Note : As per our Guidelines , we can solve first question .Please Repost remaining question .

Q: One banana and two mangoes cost K1.30. Five bananas and four mangoes cost K3.50. Find in toea the…

A: See this solution in below.

Q: Laplace transforms. y' + 9y = 0, y(0) = -1

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Q: A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty…

A: A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty…

Q: if cost and revenue are given by C(x) = 187 +0.8x and R(x) = 8x-0.02x

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: A rectangular metal tank with an open top is to hold 4 cubic feet of liquid. What are the dimensions…

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Q: A particle moves according to a law of motion s= f(t), t≥ 0, where t is measured in seconds and s in…

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Q: Graph the solution to the following inequality on the number line. x2>-4x

A: Topic =Inequality

Q: For the function f(x) two periods. Enter the exact answers. 2 cot a determine its stretching factor…

A: We can solve this as follows:

Q: 1. Use a graphing calculator to find the solution to the given system. If there is no solution or…

A: Given equation y=3x+2 y=3x+7 We find two point on the lines are Equation Point 1 Point 2 y=3x+2…

Q: 1) Given the graph of f(x), sketch the graph of f'(x). You may sketch directly over the given graph.

A: Make the graph of f'(x)

Q: Let y = 5x². Find the change in y, Ay when = 4 and Ax Find the differential dy when = 4 and do = =…

A: Topic = Derivative

Q: If a loading ramp is placed next to a truck, at a height of 7 feet, and the ramp is 18 feet long,…

A: Perpendicular length= 7 feet  Hypotenuse= 18 feet