The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t) = 2 cos T t+ + 5 3 %3D where t is the number of hours after midnight. Find the rate at which the depth is changing at 6 a.m. Round your answer to 4 decimal places. ft/hr

Q: .Find the instantaneous rate of change to the function f(x)= sin.x tan.x at x=- ? 4 а. 0 b. с. л d.…

A:

Q: The percent P of defective parts produced by a new employee t days after the employee starts work…

A: Given, The function P of  t           P=t+171070t+2       find dPdt      ∗If  P=ftgt Then…

Q: Suppose a migrating bird flies at a constant altitude of 5 km, with a velocity of 42 km/h. At time t…

A:

Q: The concentration, in micrograms per milliliter, of a particular medication in the bloodstream t…

A:

Q: 258. [T] The daily temperature in degrees Fahrenheit of Phoenix in the summer can be modeled by the…

A:

Q: The instantaneous rate of change of a ball (in ft/s) is given by f'(x) = √x Select one: 1 4 O a. sec…

A:

Q: dN The rate of the growth of species of bacteria is estimated by = 800 + et dt Where Nis the number…

A: Given function is form of differential equation. we will integrate this function to get the N(t).

Q: Find the rate of change of x with respect to p. 4 x2 0 0.000001x2 + 0.09x + 5 dx dp ||

A: Proceed as shown below

Q: The rate of change of the ozone, an invisible gas that is an irritant and impairs breathing, present…

A: Consider the given function.The function R (t) shows the relation between the rate of change of…

Q: Suppose a migrating bird flies at a constant altitude of 5 km, with a velocity of 42 km/h. At time t…

A: Given that, A migrating bird flies at a constant altitude of 5 km, with a velocity of 42 km/h. At…

Q: During the time interval 3 <t< 14, the rate at which the amount of water in a tank is changing, in…

A: The rate at which the amount of water in a tank is changing, in liter per hour, can be modeled by…

Q: The total power P (in W) transmitted by an AM radio štation is given by P= 600 + 300m, where m is…

A:

Q: What is the instantaneous rate of change of the graph of y- cosx when x= 2x? a) -1 b) 1 c) P d) 0

A:

Q: The atmospheric temperature T (in degrees Celsius) at altitude h meters above a certain point on…

A: Explanation: Given that,  T=15-0.0065hh≤12,000m     Concept Used: Average Rate of Change-…

Q: Q. Find for the following functions: - a- y = (cosx) (use logarithm differential) C- csc-/3/5x b- y…

A: we have to find the derivative of the following

Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 95e¬0.02t…

A:

Q: A drag racer accelerates at a(t) = 84 ft/s^2. Assum v(0) and s(0) = 0.

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Q: The acceleration after t seconds of a hawk flying along a straight path is a(t) = 0.7 + 0.16t ft/s2.…

A:

Q: The depth d of the water in a harbour, measured in meters, t hours after midnight, can be…

A: Form an inequality representing this scenario. Solve that inequality to yield the result.

Q: Use differentials to approximate the change in cost corresponding to an increase in sales (or…

A: topic - application of derivatives

Q: 700x+30,000y=9xy-0.0004x^2-7y Find the rate of change of the number of hours with respect to the…

A:

Q: The following figure shows the velocity, in cm/sec, of a particle moving along a number line.…

A:

Q: Suppose a migrating bird flies at a constant altitude of 5 km, with a velocity of 42 km/h. At time…

A:

Q: Breathing is cyclic, and a full respiratory cycle from the beginning of inhalation to the end of…

A: Given ft=710sin2πt3 to find vt

Q: The rate of change of the temperature of an object is given by T (t)=t·eª -0.1t min (a) Use the…

A:

Q: Find the time required for an object to cool from 300°F to 260°F by evaluating the following where t…

A: Given time integral - t = 10ln2∫260300dTT-100Using integration formula - ∫dTx+a =…

Q: A particle travels along the x-axis such that its velocity is given by v(t) = t°.1 + 3 cos (2t) .…

A:

Q: For a person at rest, the velocity v (in liters per second) of air flow into and out of the lungs…

A: Explained below

Q: Breathing is cyclic, and a full respiratory cycle from the beginning of inhalation to the end of…

A:

Q: Which of the following is most likely to be the instantaneous rate of change of the 4? graph of y=…

A: Solution

Q: Consider an aquarium with a 75 gallon tank.  If the aquarium has a water pump that pumps water at a…

A:

Q: Breathing is cyclic and a full respiratory cycle from the beginning of inhalation to the end of…

A:

Q: A cake is removed from an oven and its temperature is 350°F. Assume room temperature is 70°F. Five…

A: Given that the initial temperature of the cake is 350°F and after 5 minutes temperature varies to…

Q: The population ( in hundreds ) of fish in a pond is given by P(t) = 2t + sin(2t – 10) t months from…

A:

Q: b) The rate of change of temperature of a cup of coffee is observed to be f(t) = 8e-0.zt degrees…

A:

Q: A kite is rising vertically at a constant speed of 2 m/s from a location at ground level, which is 8…

A: Z is the distance from kite to person. We use Pythagoras Theorem

Q: The percent P of defective parts produced by a new employee t days after the employee starts work…

A:

Q: A pump allows water to flow into a pool at the rate of r (t) = 2t liters per minute, where t is the…

A:

Q: The population ( in hundreds ) of fish in a pond is given by P(t) = 2t + sin(2t – 10) t months from…

A:

Q: The following figure shows the velocity, in cm/sec, of a particle moving along a number line.…

A:

Q: Find the instantaneous rate of change for the function at the given value. F(x) = x2 + 3x at x = 8…

A: Given that Fx=x2+3x We have to find the instantaneous rate of change for the given function at x=8…

Q: A drag racer accelerates at a(t) = 66 ft/s?. Assume that v(0) = 0 and s(0) = 0. a. Determine the…

A:

Q: During the time interval 3 <t < 8, the rate at which the number of bears in a forest is changing, in…

A:

Q: 51. The horizontal range R of a projectile launched from ground level at an angle e and initial…

A:

Q: The temperature in a room changes at a rate of r(t) = In(t +1) sin(t) degrees Celsius per h t is the…

A: Given: The rate of change of room temperature in degrees celsius per hour is given by the below…

Q: he rate of growth dP/dt of a population of bacteria is proportional to the square root of t, wi nd t…

A: The given equation is: dP/dt = k√t.

Q: The gross national income (GNI) of a certain country (in billions of U.S. dollars) can be…

A:

Q: dC The rate of change in the concentration of a drug with respect to time in a user's blood is given…

A: