tanh(x) = %3D ete

Q: A research group using hospital records developed an approximate mathematical model relating…

A: The rate of change of y with respect to (w.r.t.) is given by derivative of y w.r.t. x i.e., dydx.

Q: What is the difference between the average rate of change and instantaneous rate of change?

A: The difference between the average rate of change and instantaneous rate of change

Q: hè upward velóčity óf

A: Given :-  The upward velocity of a rocket is given as a function of time. t  s v t  0 0 10…

Q: (b) By what annual percentage are sales for Alpha growing? (Use the model found in part (a).) By…

A: a) The growth of alpha series is  8.80×1.02t. so the growth of the second year will be…

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A:

Q: ; Farmer Joe's field has a silt loam soil with an initial water content of 0.15 cm/cm'. After flood…

A: Given, The initial water content in the field =0.15 cm3/cm3 The water content of the wetted soil…

Q: What continuous interest rate eqauls an annual interest rate of 2 % ? Give your answer as a decimal…

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Q: What is a related-rate equation?

A:

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A:

Q: Question: The geometric rate of growth of sales for a company for the first three years was 25% and…

A:

Q: What’s the initial value? What’s the absorption rate?

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Q: The half-life of Carbon-13 is 5750 years. Samples taken at an excavation site show that a one…

A:

Q: An investment has been making money. Its value has been increasing at the rate of 7.1% per year.…

A: Note: It is assumed that the interest is simple interest.   When the interest is simple, then the…

Q: Water flows into a reservoir at a rate of 500 + 7t2 gallons/hour. There is a hole in the reservoir…

A:

Q: total differential

A: Given: The function is z=x4 e3y To find: The total differential of the given function. Formula used:…

Q: y= 20(0.75)* Initial Value Type of Change Rate of Change

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Q: None

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Q: The margin of safety sales volume times the contribution margin ratio equals operating income. True…

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Q: Land bought for speculation is increasing in value according to the formula V – 1000e Ve The…

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Q: what is the effective annual yield if a deposit of 1000 grows to 2200 in 9 years? round answer to…

A: We know that A = P(1+r)t         where A = future value                  r = interest rate or…

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A: Given Future Value = $9000time = 6 months  or (6/12) yearrate of interest = 6%Present Value = ?

Q: Find the expected demand for (2020) by using SMA and WMA. (picture)

A: Expected demand for 2020 by using SMA:

Q: Example: The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when…

A: Let x be the distance from the bottom of the wall to the bottom of the ladder Let y be the distance…

Q: A streetlight is mounted at the top of a pole. A man walks away from the pole. How is the rate at…

A: The given situation is:

Q: 3) Bejax Corporation has set up a production line to manufacture a new type of cellular telephone.…

A: The rate of production of telephones is,

Q: A wolf puppy fossil was discovered in one of the caves in thawing permafrost in Dawson City, Yukon,…

A:

Q: Carbon decays at a rate proportional to the amount present. The percentage lost is 5% in 150 years,…

A: Given: Carbon decays at a rate proportional to the amount present. The percentage lost is 5% in 150…

Q: 2. Carbon decays at a rate proportional to the amount present. The percentage lost is 5% in 150…

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Q: The initial bacterium count in a culture is 2300. A biologist later makes a sample count of bacteria…

A:

Q: „log3(cosh x) + csch x ) tanh x dx

A:

Q: he Corona Virus, that started to spread in many countries in early 2020, is more contagious than the…

A:

Q: 2. A light shines on top of a lamppost 30 feet above the ground. A woman 5 feet tall walks away from…

A: Let X be the distance of man from lamppost .

Q: An investment pays out 800,000 Mexican pesos per year, continuously for 5 years. Find the PV of the…

A: Given, AmountA=800,000t=5 years

Q: Assume straight-line depreciation. A jet ski that cost $13,200 when new will have no salvage value…

A: use rate of depreciation formula to evaluate the desired answer

Q: The rates of increase in the population of a country during the last 3 decades are 10%, 20% and 30%.…

A: Given The data is as follows: Rate of increase in the pop. during last 3 decades are as follows:…

Q: 6. How is the instantaneous rate of change found?

A: Answer and explanation is given below..

Q: cteria grow in a culture at a rate proportional to the amount present. Initially, 300 ands of the…

A:

Q: Find the rate Of Chaange the folloewing in Table de. X 1-2)-1 TO fex) F3 -1 3.

A: Given that table values, x -2 -1 0 1 f(x) -3 -1 1 3 Use the formula of the rate of change,…

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A: An investment earns 6% per year and is worth $8000 after 8 months

Q: The daily production level is currently 100 filters and increasing by rate of 8 filters per day. (a)…

A: Given that: Current daily production = 100 filters Rate of increasing of production = 8 filters per…

Q: What’s the initial value and what’s the elimination rate?

A: as we can from the table, when time=0, the remaining alcohol is 0.19g/dl so the initial value is…

Q: Internal Rate of return?

A:

Q: A vehicle purchased for $27500 depreciates at a constant rate of 7%. Determine the approximate value…

A: Compound interest :A=P1+rnntwhere A=future ValueP=Principal ( starting ) Valuer=annual interest…

Q: Use a numerical example to explain the difference between the rate of change and the level of change…

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Q: ng table shows the Consumer Price Index (CPI), which uses the year 1983 D%). What is the equivalent…

A: In this question we will use basic of calculus. We will simply find the 100% of salary by use that…

Q: Radium decomposes at a rate proportional to the amount present. In 100 yrs, 100 mg of radium…

A: Initial radium quantity Ni = 100 mg after t = 100 years N = 96 mg

Q: Enrollment at my college is increasing at a rate of 42% per decade. What is the yearly percentage…

A: We know that 1 decade = 10 years.

Q: P(x) = -400x + 6,800x – 12,000 dollars. At what rate is profit changing with respect to the level of…

A:

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A: Solved below

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.