An arrow is shot into the air and its height in feet after tt seconds is given by the function f(t)=−16t^2+128t . Estimate the instantaneous velocity at t=7 seconds using difference quotients with h=0.1, 0.01, and 0.001. If necessary, round the difference quotients to no less than six decimal places and round your final answer to the nearest integer

Q: a certain culture of organisms grow at a rate proportional to the number present. If it is known…

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Q: Use differentials to approximate the value of 52.1. 100+ 5ln5 50+ 6ln5 50+ 5ln5 2 100+ 6ln5 4

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Q: How much work is required to pump all the water from a right circular cylindrical tank that is 8…

A: How much work is required to pump all the water from a right circular cylindrical tank that is 8…

Q: Use a linear approximation (or differentials) to estimate the given number.   sqrt(100.8)

A: Given that

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A: Given: the concentration of the drug carried by  the liquid=0.1g/cc liquid enters and leaves the…

Q: The Loth Cat population grows at a constant relative growth rate. If the population is 400 after 2…

A: Let the constant relative growth rate be 'r' and the time in years be 't'. Let the population at any…

Q: Use Secant Method to find the root of x³ + 3x² – 1= 0 between [-3, -2] accurate to five decimal…

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Q: Use differentials to approximate the cube root of 0.009.

A: Approximate  0.00913

Q: The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the…

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Q: Estimate the second derivative of f (x) = difference approach with h=O.1? 25x3 6x2 + 7x -88 at x-2,…

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Q: f(x) = 6x3 - 9x + 4 +4

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Q: The population of community is known to increase at a rate proportional to the number of people…

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Q: apply 1rt and second derivative to sketch graph  1)f(x)=3+7e^(-0.2x) and  2)f(x)=ln(2x+4)

A: In the question we have to draw the graph.

Q: A quantity with an initial value of 220 grows continuously at a rate of 9.5% per hour. What is the…

A: Consider the provided question, Given, initial value = 220  Rate, r = 9.5% = 0.095 per hour t = 225…

Q: 2. Find a real root of 3x – logi0 x – 8 using the Successive Approximation method. Correct to four…

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: find the derivativey=log(to the 4th) time (2x Third -6x)

A: To apply the rules for derivative of composite functions

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A: Here, the given function is: g(x)=178.277x0.065 where x is the number of years and g(x) is the…

Q: A storage battery discharge at a rate which is proportional to the charge. If the charge is reduced…

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Q: Use Secant Method to find the root of x³ + 3x² – 1= 0 between [-3, -2] accurate to five decimal…

A: We have f(x) = x3+3x2-1 f(-2) = -23+3-22-1 = 3 x1 = -2 f-3 = -33+3-32-1 = -1 x0 = -3

Q: Find a function that has x^6 as its derivative without using integral knowlegde.

A: In this question, we need to find a function that has x6 as its derivative.

Q: If

A: Explanation and solutions is given below....

Q: Estimate the instantaneous rate of change of the function shown in the graph at x=600.

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Q: The population of a certain country has grown at a rate proportional to the number of people in the…

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Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1r dollars per…

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Q: rconh(3x+1) - 5t +ldt f(x)= sinh³

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Q: Acrsin a2_v2

A:

Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: We have to find the differential equation for the population growth.

Q: The net worth, ƒ (t), of a company is growing at a rate of f' (t) 1000 – 6t2 in dollars per year…

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Q: Use differentials to approximate √16.5.

A: Given:

Q: sinh 2x cosh 3xdx.

A:

Q: A piece of wire, 370 cm long, is to be bent into an isosceles triangle. What should the exact…

A: given: A piece of wire, 370 cm long, is bent into an isosceles triangle. we have to determine what…

Q: Solve for the second derivative of the function below 3. у%3 (х— 5)*

A: Given: y = x-54 To find: Second derivative of the given function.

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

A: ANSWER :

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

A: We have given

Q: A manufacturer of digital cameras estimates that when X hundred camera are produced, the total…

A: Given,P(x)=0.004x3+0.06x2+25x-200Marginal profit is P'(x)P'(x)=ddx(0.004x3+0.06x2+25x-200)…

Q: Determine the instantaneous rate of change of the function f(x) x4 at the point where x = -2.

A: instantaneous rate of change of a function is differentiation of function at that point

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

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Q: Suppose that the amount of water pumped from a water well decreases at a continuous rate of 10% per…

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Q: Find the third derivative of y = (8x 1) solution and upload it on the designated field in jpeg or…

A: The given equation is y=8x-114to find the third derivative of the given function. Differentiation is…

Q: On the basis of data for the years 1911 through 1994, the expected life span of people in a country…

A: f(x) = 12.469 lnx +17.128x is the number of years from 1906 to person's birth year.expexted life…

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: |The amount A(t) of atmospheric pollutants in a certain mountain valley grows naturally and is…

A: Write the naturally growing equation as exponential function A(t). At t = 0, let A (t) be Ao and at…

Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…

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Q: Suppose that a corpse is discovered at 10 p.m. and its temperature is determined to be 85°F. Two…

A: Given that, Suppose that a corpse is discovered at 10 p.m. and its temperature is determined to be…

Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

A: Given that, y=f(x) Second Derivative is y'' = x2(x - 2)3(x + 3). As we know that, Inflection point…

Q: The length and width of a rectangle are measured as 38 cm and 34 cm, respectively, with an error in…

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Q: Suppose that the concentration (measured in gm3) of nitrogen in the soil along a transect of land…

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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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.