It is estimated that a worker in a shop that makes picture frames can paint y frames t hours after starting work at 8 AM. Let y= 3t + 8t2 - t ,0sts4. t 10AM, the worker is painting at the rate of Blank 1 frames per hour.

Q: Suppose that a snowstorm began at midnight. Let r(t) be the rate, in inches per hour, that snow…

A: Y axis represents the rate in inches per hour X axis represents the time in hours after midnight To…

Q: What is the average rate of change of the function f(t)=t2−7t  between  t=−5 and    t=−4?

A:

Q: Find the average rate of change of f(x)=3x2 +2x−2 on the interval [2,t].

A: Consider the function f ( x ) on the interval [ 2,t ],

Q: Suppose the fanetion f (t2=te Vepreseuts the Velocity cmeasured in meter/second) of an object at…

A: f(t)=te-2t

Q: Find the average rate of change of f(x) 82? 9 on the interval 3, b. - Your answer will be an…

A:

Q: Q3:) The point moving on the curve y = x³ - 3x+ 5, such that * +3, where (t) represents time. What…

A:

Q: What is the rate of change of f (t) at t = 7.5?

A: The rate of change is calculated using differentiation. The derivative of f(t) at t=7.5 gives the…

Q: 3. If f (t) = -t + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

A: We are allow to solve only one question at a time  Thank you for your question

Q: Suppose the temperature at a certain location t hours after noon on a certain day is T°C ,where T…

A:

Q: 3. For g(x) = x² - 5x + 8, find the average rate of change on the interval [1, 6].

A:

Q: According to the Florida Agency for Workforce, the monthly average number of unemployment claims in…

A: This question is based on application of Derivative.

Q: The rate r at which people get sick during an epidemic of the flu can be approximated by r =…

A:

Q: It is estimated that a worker in a shop that makes picture frames can paint y frames t hours after…

A: Please see the answer below.

Q: Suppose the position of an object moving in a straight line is given by s(t) = 5t2 − 2t − 7. Find…

A: Given: s(t)=5t2-2t-7, at t=2

Q: If s = 3t2 – 16t-2, when will acceleration be zero? An object moves along a horizontal line…

A:

Q: Suppose that the amount (in gallons) of water in a tank is given by f(t) = 60e^−.1t, where t is in…

A:

Q: Calculate L6 for f(x) = v7x + 2 over [1,3]. (Give your answer to three decimal places.)

A: The given function is fx=7x+2 and the interval is 1,3. Obtain the length of the rectangle as…

Q: What is the velocity and distance covered in 5 seconds when acceleration is 0.02s^(-7/8)) m/s²,…

A: Given:    a = 0.02s(-7/8)     t = 5 sec

Q: At time t = 0, a seed is planted Aftert weeks, the height of the plant is given by f(t) = 0.3t² +…

A: After t weeks , the height of the plant is ft=0.3t2+0.6t+0.5 inches Find the rate of plant growing…

Q: Q3:) The point moving on the curve y = x - 3x+5, such that ****, where (t) represents time. What is…

A:

Q: The impedance Z (ohms) in aseries circuit is related to the resistance R (ohms) and reactanceX…

A: Given that The impedance Z (ohms) in a series circuit is related to the resistance R (ohms) and…

Q: Water flows from the bottom of a storage tank at a rate of r(t)   =200  -4tliters per minute, where…

A:

Q: Q 4 Find the average rate of change between 5 and 0 for: f(x) = 6x2 -9x - 6

A: Obtain the average rate of change of function as follows:

Q: 7. If f (t) = -t + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

A:

Q: If s = 3t – 16t-², when will acceleration be zero? An object moves along a horizontal line according…

A:

Q: It is estimated that a worker in a shop that makes picture frames can paint y frames t hours after…

A:

Q: nen does the particle reach a velocity of 137 m/s if its position function is given by:…

A:

Q: Calculate L6 for f(x) = V9x + 3 over [1,3]. (Give your answer to three decimal places.)

A: Find the approximation L6 for the function fx=9x+3 over [1,3].

Q: Let the height of an object bef(t)=t2+2t−4f(t)=t2+2t−4. What is the instantaneous rate of change of…

A: Given query is to find instantaneous rate of change of the object at t = 2.

Q: Calculate L6 for f(x) = v5x + 3 over [1,3]. (Give your answer to three decimal places.) L6 =

A:

Q: An accessories company finds that the​ cost, in​ dollars, of producing x belts is given by…

A: To find: The rate at which average cost is changing when 178 belts have been produced. Given: The…

Q: Suppose the position of an object moving in a straight line is given by s(t) = 7t³ -² +6. Find the…

A:

Q: A company estimates that it will sell N(t) hair dryers after spending $t thousands on advertising as…

A: Nt=-3t3+450t2-21600t+1100 to find the rate take derivative N'(t)=ddt-3t3+450t2-21600t+1100…

Q: the avrage velocity of p(t)=4.5t^2-15t+180 over[1,5]

A:

Q: Suppose the position of an object moving in a straight line is given by s(t) = 5t2 − 2t − 7. Find…

A: Given: s(t) = 5t2 − 2t − 7

Q: The distance (in feet) of an object from a point is given by s(t) = t2, where time t is in…

A: Given the distance of an object from an point at time t is given by equation s(t) = t2, where t in…

Q: The position of a moving object is given by the function s (t) = 4t² – 10. What is the instantaneous…

A:

Q: For the function y = x3, compute the average rate ofchange between x = -1 and x = 2.

A: We have given function y=x3

Q: 6. Train E travels west toward Chicago station at 120 miles per hour while a second train N travels…

A: Train E =120 miles per hour  Train N=90 miles per hour

Q: If a rock is thrown into the air on small planet with a velocity of 30 m/s, its height (in meters)…

A: Given;  y=30t-4.9t2

Q: It is estimated that between the hours of noon and 7:00 PM, the speed of a highway traffic flowing…

A:

Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing…

A: topic - application of derivatives

Q: At time t20, the velocity of a body moving along the s-axis is v=² - 7t+6. When is the body's…

A:

Q: If a ball is thrown into the air with a velocity of 42 ft/s, its height (in feet) after t seconds is…

A: Given, The height of the ball is given by : y = 42t -16t2 ;  Where y is in feet and t is in seconds…

Q: Find the average rate of change of f(x) = 3x2 +2x – 2 on the interval [2, t].

A: 555

Q: An object moving in a straight line has an acceleration in m/s2 given by a = 18t + 4. Find its…

A:

Q: For time t > 0, a particle moves along the x-axis, its position is given by the function s(t) = -t3…

A: Given: s(t)=-t3+3t2-6 For a given position function s(t) , velocity and acceleration is defined as…

Q: 3. If f (t) = -t² + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

A: Given : The function ,ft=-t2+5t+3 describes  the distance travelled by the ball in meters. To find:…

Q: A particle moving in a straight line is at a distance of s(t) = 1.lt³ + 13t feet from its starting…

A: The solution is given in next step

Q: Find a general expression for the velocity of the rock at any time t. s(t)=64-16t2,

A: Given,The displacement vector of a rock, S(t) = 64 – 16t2We need to find the general expression of…