Acceleration The velocity of an object is v(t) 0

Q: Average Temperature The temperature in degrees Celsius on the surface ofametal plateis T(x, y) = 20…

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Q: ind the absolute extrema given the interval a.) f(x)=4-3x ; (-1,2] b.) f(x)= 1/x ; [2,3)

A: The absolute extrema is a point which has maximum or minimum value over a particular domain…

Q: Average Cost for Producing MP3s The average cost (in dollars) incurred by a media company each week…

A: The given function is shown below:

Q: Revenue The total revenue for a product can be calculated as the area under the demand curve.…

A: The demand function given is as, Dq=110q2-10q+260 in the interval 0≤q≤50. It is given that the width…

Q: Interest Rate Suppose that $30,000 is invested atcontinuous rate r and grows to $121,656 in 28…

A: Principle amount = $30000 Total amount grown at the end of 28 years= $121656 Amount of interest is…

Q: Using calculus, find the absolute maximum and absolute minimum of the function f (z) = 7x - 42x+4 on…

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Q: MANUFACTURING OUTPUT At a certain factory, it is determined that an output of Q units is to be…

A: Given output of a factory  is QL=3,100L. To find the average rate of change and instantaneous rate…

Q: t-value formula

A: In question, We'll write the formula of t-value. The solution is below,

Q: Marginal Revenue The demand function for a certain boat company's 34 ft Sundancer yacht is p = 600 -…

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Q: Gravitational force The magnitude of the gravitational force between two objects of mass M and m is…

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Q: Bacteria grow in a nutrient solution at a rate proportional to the amount present. Initially, there…

A: growing of bacteria iss a exponential functiony=a(1+R100)t a. 800=250(1+R100)7 1+R100=1.18R=18% rate…

Q: Time function Show that the function T(x) = 60D(60 + x)-1gives the time in minutes required to drive…

A: The distance in miles is D The speed is 60+x miles per hour.

Q: Tangent Line. If p(x) = 3x² + 2x4 + 8 + 2 Then the equation of the tangent line to the function p(x)…

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Q: maximum revenue. R, then find the revenue.

A: For part (a) We have to find out the price for maximum revenue. The revenue function is given…

Q: Average Velocity A ball is shot straight upward,with its height, in feet, after t seconds given by…

A: f(t)=-16t2+128t, t=2 to t=4

Q: Moving average form: ωt = ξt+ρξt-1 What would happen when Et-1(ωt) ? Solve the process.

A: Given information: The moving average form is given below:

Q: 73. Filling a Bowl If a hemispherical bowl of radius 10 in. is filled with water to a depth of x…

A: The volume of water is given by the equation v=π10-x3x2  where v be the volume and x be the depth.…

Q: Infection Rate The rate of infection of a disease (in people per month) is given by the function…

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Q: 6. Interval, - TT <x < TT; function, f(x) = 0, = x2 - TT<x<T 0 <x< TT

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Q: A metal plate is heated so that its temperature at a point (x, y) is T(x, y) = x²e-2x*+3y). A bug is…

A: Solution

Q: Water is flowing at the rate of 40 litres/s through a tapering pipe. The diameters at the bottom and…

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Q: Using Linear Approximation, estimate Af for a change in x from x = a to x = b. Use the estimate to…

A: Using linear approximation:  ∆f=b-af'a     =-0.3-0ddxexx=0     =-0.3exx=0     =-0.3

Q: Minimum sum Find positive numbers x and y satisfying the equation xy = 12 such that the sum 2x + y…

A: Given xy=12S=2x+y

Q: Acceleration due to gravity is 32ft -10 m or s2 A ball is thrown s2. vertically upwards from a…

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Q: Estimating changes with linear approximationsa. Approximate the change in y = ƒ(x) = x9 - 2x + 1…

A: a. Given: y=x9-2x+1 Differentiate the function: dydx=dx9-2x+1dxApply the Power Rule:…

Q: Using calculus methods to find the length of the sides of the squares cut out so that the volume of…

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Q: increasing decreasing f(x) = sin(x) + 1 T 2 + πn,∞0 0 < x < 2π (-∞0, 1/2 + 1) X X

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Q: 18. Average cost. The average cost for Turtlehead, Inc., to produce x units of its thermal outerwear…

A: Given that, The Average Cost for Turtlehead, Inc. to produce x units of its thermal outerwear is…

Q: Snowflakes land randomly on a small area of the ground at a rate of 16 per minute. Let X be the…

A: Solution

Q: 64z Find the maximum and minimum values of the function f(x) on the interval [0,14]. = T I14 The…

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Q: Linear approximation Estimate f(3.85) given that f(4) = 3and f′(4) = 2.

A: Given that, f(4) = 3 , f'(4) = 2. To estimate f(3.85)

Q: Maximum distance An object moves on a line with velocity v(t) = 10/(t + 1)² mi/hr, for t 2 0. What…

A: vt=10t+12,  t≥0

Q: Polynomial passing through the points (1.3), (2.7), (3.14), (4.17), (5.30), (6.33) Estimate its…

A: Introduction: When the x-data points are equally spaced, in that case, we apply Lagrange or Newton's…

Q: ing f(x) 2- -1 4 f(0) = f(x) = 0, x = %3D f(0) f-(x) = 0, æ = nut 2)

A: Please see the explanation below

Q: Derivative. The derivative of h(x) : 3+ e(4x2 + 5) is O none of the other answers -e(4x + 5)…

A: step 2 complete solution

Q: Calculus 11th Edition - Ron Larson Chapter 4.4 - The Fundamental Theorem of Calculus Please show wok…

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Q: cosh a Example. Use u-substitution to find an exact value of dx. V1+ sinh x FOLUTION

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Q: 2. f(x) 3. f(x) = (56x – 3)(4x +5) = 56x - 32x + 16x - 10 4. f(x) = 2x-6 x+3

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Using analytical methods, find all critical numbers (exact values) of the function.f(x) = 1/(x −…

A: f(x) = 1/(x − 1)^2 −1/x^2

Q: (Зх + 1)ӑx 1. 3x– 2

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Q: Convolution. Find the convolution of (a) Πα * Πα. (b) f(x) * ƒ(x), where ƒ(x) = e¯\ª\, -∞< ï<∞.

A: As per the question we are given two functions as: Πa(x) : the rectangular pulse function with…

Q: Ballistics Ballistics experts are able to identify theweapon that fired a certain bullet by studying…

A: Ballistics Ballistics experts are able to identify theweapon that fired a certain bullet by studying…

Q: variation of parameters to find a particular solution

A: We have to find out the particular solution of the given differential equation. The given equation…

Q: 1. f(x) 16x? – 4x +5 %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Closure: 1. Solve cot r-V3 =0 over [0, 2n)

A: Given: cot x-3=0    over [0,2)

Q: QI: Find the value of the constant K if the function 4-x S(x)={3-V +5 K is continuous at x=2. x=2

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Q: I’m planning to build a rectangular garden with a fence enclosing it. I have 56 feet of fencing.…

A: Total fencing is 56 feet. Let x and y be the length and width of the rectangle respectively. Then,…

Q: Using the metric - [12 4 G =| 4 1 1 (x')²] Calculate the length of the curve given by x' = 3 - t x2…

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