The rate (in liters per minute) at which water drains from a tank is recorded at half-minute intervals. Compute the average of the left- and right-endpoint approximations to estimate the total amount of water drained during the first 3 min. t (min) 0.5 1 1 1.5 2 2.5 3 r (L/min) 50 48 46 44 42 40 38
Q: The atmospheric pressure at altitude h (kilometers) for 11 ≤ h ≤ 25 is approximately…
A: Given: P(h)=128e-0.157h
Q: The velocity of a car is recorded at half-second intervals (in feet per second). Use the average of…
A: Given Data: The travelled duration is: Δt=4 s The table is given the figure represent the velocity…
Q: The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using…
A: A(t) = 0.012414t2 + 0.7485t + 313.9 (1 ≤ t ≤ 59) where A(t) is measured in parts per million volume…
Q: Show how to make a quick estimate (to two decimal places) of V(4.98)² – (3.03)² without using a…
A: Given we have given 4.982-3.032
Q: 1. (a). Find the linear approximation to f(x) = VT at a 81, (b). use it to approximate 85. (c).…
A:
Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…
A:
Q: The marginal average cost function is given below. 4, 000, 000 AC (#): %3D Where AC(r) is the…
A:
Q: The altitude of a helicopter at three different instants is listed as below: 1, sec | 0.2 h, m |…
A: Given the altitude of a helicopter at three different times t,sec0.20.30.45h,m445.98471.85503.46 we…
Q: The pressure of wind in pounds per square foot, corresponding to the velocity in miles per hour has…
A:
Q: The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using…
A:
Q: The volume V, in liters, of air in the lungs during a five-second respiratory cycle is approximated…
A:
Q: Compute the average rate of change of f (t) = 40t – 16t over the indicated intervals. %3D -
A:
Q: Find the average velocity of the coin over the interval [1,2] : Average velocity is feet per second…
A: Consider the given height function, st=-16t2+155 The average velocity of the coin over [1, 2] will…
Q: The length of a rectangle is increasing at a rate of 11 cm/s and its width is increasing at a rate…
A: The area of a rectangle is the product of its length and width, A=l×w, where l is the length of the…
Q: Find the average rate of change of the function over the given interval. f(t)= 4t+9…
A:
Q: 5. Calculate the average rate of change for the function ft) = 2x'+5 over the interva -1 < x < 2.
A: We have to find average rate of change
Q: The volume V, in liters, of air in the lungs during a five-second respiratory cycle is approximated…
A: Given: The volume V, in liters, of air in the lungs during a five-seconds respiratory cycle is…
Q: If a rock is thrown upward on the planet Mathemagicland with a velocity of 12 m/s, its height in…
A: Given: velocity=12m/sy=12t-1.86t2
Q: Find the average rate of change of the function over the given interval. f(t) = 8t + 9, [7, 8]…
A: Given function is ft=8t+9 and interval 7,8 Average rate of change of function is given as: Average…
Q: If a baseball is thrown upward with a velocity of 45 m/s, its height in meters t seconds later is…
A: We know that, Average velocity = change in position/time elapsed.
Q: To make a determination of when the acceleration of the hiker was positive, negative or zero, I used…
A: To find the correct option
Q: A traffic engineer monitors the rate at which cars enter a freeway during rush hour. From the data…
A:
Q: The velocity of a car is recorded at half-second intervals (in feet per second). Use the average of…
A: Given
Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…
A:
Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…
A:
Q: 19. The velocity of a car is recorded at half-second intervals (in feet per second). Use the average…
A:
Q: A ball is dropped on Mars where the distance traveled is s(t) = 1.9t2 meters int seconds. Compute…
A: s(t) = 1.9t2 [a, b] = [5, 9] s(a) = s(5) = 1.9 x 52 = 47.50 s(b) = s(9) = 1.9 x 92 = 153.90
Q: The average rate of change of f(x)=mx+b on the interval a,c is: В. 1 С. т А. 0 тс -та + 2b D. E.…
A: Let f(x) be any function.Then, Average rate of change of f(x) over [a,c] = f(c) - f(a)c-a
Q: Find the difference between the upper and lower estimates of the distance traveled at velocity f(t)…
A:
Q: The altitude of a helicopter at three different instants is listed as below: 0.2 445.98 0.45 t, sec…
A: We will start by using formula for derivative by 1st principle
Q: A 50 – gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 lb…
A: Remaining capacity of tank is 50-10 = 40 gallons.
Q: Find the average rate of change of the function over the given interval. f(t) = 4t2 – 1, [1, 1.1]
A: Given data: The expression for the function is f(t)=4t2-1. The given limit of t is [a, b]=[1, 1.1].…
Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…
A:
Q: The table shows the rate of inflow of water, in cubic feet per second, as measured every morning at…
A:
Q: Find the average rate of change of the function below over the interval 0sxs1. f(x) = Vx - x + 1 1 O…
A: Given query is to find the average rate of change for the function.
Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…
A:
Q: Find the average rate of change of the function over the given interval. f(t) = 6t2 – 1, [1, 1.1]…
A:
Q: f(30+h}-f{30)
A:
Q: The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using…
A: Consider the equation
Q: The table below gives the result of an observation, is the observed temperature in degrees…
A: We have to solve the given problem by Newton's forward differential equation.
Q: 33. The atmospheric pressure at altitude h (kilometers) for 11 <h< 25 is approximately P(h) =…
A:
Q: Sand is dumped in such a way that the shape of the sand pile is always a cone with its height, h…
A: Let, h be the height of the cone, r be the radius of the cone. Also, the sand is dumped at a…
Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…
A: We have to find total amount of water drained by using average of Left and Right Reimann Sum…
Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…
A: The given table is: To find total amount of water drained during first 3 minute.
Q: E The average rate of change of the function h(t) cost over the given interval is
A: Let us function f(x) on interval [a,b] is, the average rate of change of function given as avg…
Q: Find the average rate of change for the function over the given interval. 3 between x= 4 and x 7…
A: We are authorized to answer one question at a time, since you have not mentioned which question you…
Q: If a ball is thrown in the air with a velocity 50 ft/s, its height in feet t seconds later is given…
A: If a ball is thrown into the air with a velocity of 50 ft/s, its height in feet t seconds later is…
Q: A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t, where t is…
A: Given:- A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t4 ,…
Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…
A:
Q: Find the average speed over the time interval [1, 5] (time in seconds) of a particle whose position…
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
- The velocity of a car is recorded at half-second intervals (in feet per second). Use the average of the left- and right-endpoint approximations to estimate the total distance traveled during the first 4 s.The rate (liters per minute) at which water drains from a tank recorded at half-minute intervals. Use the average of the left and right-endpoint approximations to estimate the total amount of water drained during the first 3 min.Approximate the area under the curve y=1/x from x=1 to x=4 using the left endpoint estimate with six rectangles. Approximate the area under the curve y=1-x2 from x=1 to x=4 using the right endpoint estimate with four rectangles.
- MVT for Integrals Find or approximate the point(s) at which the given function equals its average value on the given interval.20. Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.08 cm thick to a spherical ball with a radius of 90 cm. 17. A 5m ladder is leaning against a wall. Its upper end is sliding down the wall at a rate of 2m/s. Find how fast the bottom end of the ladder is moving at the point 3m from the wall.The linear density of a cable wire is the rate of change of its mass with respect to its length. A nonhomogeneous cable has a length of 9 feet and a total mass of 24 slugs. If the mass of a section of the cable wire of length x (measured from its leftmost end) is proportional to the square root of this length, Compute the density of the cable wire 4 ft from its leftmost end.
- A 131 L mixing tank initially contains 65 L of brine solution with a concentration of 7 g/L. Brine solution with a concentration of 9 g/L flows into the tank at a rate of 7 L/min. The solution inside the tank is kept well-stirred and is discharged at the rate of 3 L/min. Determine the amount of salt, in grams, inside the tank at the moment before it overflows.Using the trapezoidal rule with n =10, estimate the value of the definite integral. Compare with the exact value and compute the percent error.A right-circular cylinder has a height which is three times its diameter. The diameter of the cylinder is measured to be 8cm with an uncertainty of 0.1cm. Use differentials to find the uncertainty in the calculated volume of the cylinder. What is the relative and percentage error.
- Find the average value of the given function from x=0 to x=1. Sketch graph of the function, roughly to the scale. (integral appearing in a solution has a format of the basic exponential form.)Estimate the area under the graph of f(x)=x2 +x+1 over the interval [3,8] using ten approximating rectangles and right endpoints.Rn= Repeat the approximation using left endpoints.Ln= Report answers accurate to 4 places. Remember not to round too early in your calculations.The radius of a spherical balloon is measured to be 8 inches. with a possible error of 0.03 inch. Use differentials to approzimate the maximum possible error in calculating the volume of the sphere. The find teh estimated percent error. Round answer to two decimal places.