PERSONAL FINANCE: Depreciation A $10,000 automo- bile depreciates so that its value after t years is V(t) = 10,000e-0.38t dollars. Find the instantaneous rate of change of its value: a. when it is new (t = 0). b. after 2 years.

Q: An airplane is flying at an altitude of 6 miles and passes directly over a radar antenna. When the…

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Q: The population of Canada geese in the Niagara region is increasing at 2% every year. In 2003 it was…

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Q: A fish tank initially contains 40 liters of pure water. Brine of constant, but unknown,…

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Q: 3. A balloon, in the shape of a right circular cylinder, is being inflated in such a way that the…

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Q: A box is partially filled with sand. The length of the box is 8 mm. The width of the box is 17 mm.…

A: Given: Length of box=8 mm Width of box=17 mm Volume of sand is decreasing at rate of 562 mm3/min.…

Q: Estimate the instantaneous rate of change of y(x) = at the point z = - 1 I +3 Your answer should be…

A: Instantaneous rate of change of function at point is given by , Derivative of function at that point

Q: (c) Find the direction(s) at which f(x, y) increase most rapidly and decrease most rapidly at the…

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Q: 9. The growth in the population of a group of rabbits is given by P(t) = 800e008 , where P is the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: A bacteria culture starts with 560 bacteria and grows at a rate proportional to its size. After 4…

A: (a) From the given information, the initial size of the bacteria is N0=560. It is known that, the…

Q: 1. The radius of a spherical balloon is increasing at a rate of 2 centimeters per minute. How fast…

A: " Since you have posted a two questions, we will solve first question for you. To get another…

Q: Question: If you know the instantaneous rate of change of a function f is 2 at x = 5 and that the…

A: Given: Instantaneous rate of change of a function f at x=5 is 2. point : 5,-1

Q: Annual sales of bottled water in a certain country in the period 2007-2014 could be approximated by…

A: given: Annual sales of bottled water in a certain country in the period of 2007-2014 could be…

Q: V5 ; m = 70 kg, 20/m 39. Rate of change of BSA with respect to mass: rate of change is 0.0134 ; m =…

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Q: A population of cattle is increasing at a rate of 800 + 80 t per year, where t is measured in years.…

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Q: Initially 200 millions of radioactive substance was present. After 12 hours the mass has decreased…

A: This question is related to radioactive decay. We will solve this question by using property of…

Q: Boyle's law says that the product of a gas's pressure, P (atm), and volume, V (m'), is constant.…

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Q: Estimate the instantaneous rate of change of h(t) at the point t = 2 t + 2 Your answer should be…

A: Given that: ht=5t+2   at   t=2

Q: In the manufacture of printing ink, solvents are used to suspend or dissolve the pigments that give…

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Q: Gonorhea is spread by sexual contact, takes 3 to 7 days to incubate, and can be treated with…

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Q: 3. ) Blood flowing through an artery encounters a resistance of R(x) = }Gr+1)*, where r is %3D he…

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Q: Sociologists sometimes use the phrase “socialdiffusion” to describe the way information spreads…

A: Given that: x = number of people who have the information is treated as a differentiable function of…

Q: The number N of bacteria in a culture after t days is modeled by N= 400 [1 - 3/(t2+2 }2].Find the…

A: Given: The number bacteria in a culture after t days is, N=4001-3t2+22.

Q: d. In which direction is the instantaneous rate of change the maximum from (1,0)? What is the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The function f (t) = 2300(0.25) represents the change in a quantity over decades. What does the…

A: constant 0.25 reveal about

Q: A continuous stream of income is being produced at the constant rate of $8,000 per year. Find the…

A: Given, A continuous stream of income is being produced at the constant rate of $8,000 per year.We…

Q: Winnie's blood pressure, P(t), in millimetres of mercury (mmHg), is modelled by the function P (t)…

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Q: An epidemic is spreading at the rate of 18e0.2t new cases per day, where t is the number of days…

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Q: A bacteria culture starts with 580 bacteria and grows at a rate proportional to its size. After 3…

A: (a) Consider the given statement of the question,

Q: (6) Find the direction and magnitude of the greatest rate of change of T at (3 -) 2)

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Q: Find the maximum rate of change of f(s,t)= te^{st} at the point (0,5).

A: In this question we have to find the maximum rate of change.

Q: A coal-burning electricity generating plant emits sulfur dioxide into the air. The concentration,…

A: We need to find instantaneous rate of change.

Q: Ivprw.f A plane flying horizontally at an altitude of 1.5 mile and speed of 600 mph passes directly…

A: Question is solved.

Q: At a certain moment a race official is watching a race care approach the finish line along a…

A: From the above figure,  The car, the finish line, and the race official form a right triangle. The…

Q: A culture initially has Po number of bacteria. At t = 4hour the number of bacteria is measured to be…

A: We will find out the required doubling time.

Q: A cross-country skier has a history of heart problems. She takes nitroglycerin to dilate blood…

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Q: 2. The length () of rectangle is decreasing at the rate of 2 cm/sec while the width (w) is…

A: Given Length of rectangle is decreasing at the rate of 2cm/sec⇒dldt=-2cm/secwidth is increasing at…

Q: b. One airplane is approaching an airport from the north at 206 km/hr. A second airplane approaches…

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Q: et H(t) be the amount of raw honey at time t. During processing, the amount of raw honey present…

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Q: Exercise 4 Water drains from the conical tank at the rate of 5 fi / min shown as in figure. (i) What…

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Q: A culture initially has Po number of bacteria. At t=1 hour, the number of bacteria is measured to be…

A: Given:  A culture initially has P0 number of bacteria. At t=1 hour, the number of bacteria is…

Q: A colony of mosquito has an initial population of 1000. After t days, the population is given by…

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Q: Annual sales of bottled water in a certain country in the period 2007–2014 could be approximated by…

A: Given: R(t) = 0.08t2-0.26t + 8.8, 0 ≤ t ≤ 7.

Q: Estimate the instantaneous rate of change of P(x) 5x-3 at the point r = 2 Your answer should be…

A:

Q: A fish tank initially contains 10 liters of pure water. Brine of constant, but unknown,…

A: A tank initially contains 10 l of waterconcentration of brine=cRate of flow of salt=4 l/minRate of…

Q: A culture initially has N0 number of bacteria. At time t = 1 hour the number of bacteria is measured…

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Q: The height of a cylinder is decreasing at a constant rate of 4 cm per second. The volume remains a…

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Q: 4. Sand is falling off a conveyor and into a conical pile. The Volume V of the pile is given by V =…

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Q: H(x) = 3 + 4* (a) What is the net change in the height of the plant over the first 2 months after…

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Q: A bacteria culture has an initial population of 500. After 4 hours the population has grown to…

A: Given initial population is 500After 4 hrs the population is 1000The population can be represented…

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.