Find the rates of change of P at t = 1 and t = 10.

Q: Find the rate of change of the fucntion f(t)=4t^2-5t-3,[x,x+h

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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: (B) Use the four-step process to find R'(x). (C) Find the revenue and the instantaneous rate of…

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

A: Given,P= (t+1710)/30(t+2) The derivative of (uv)'=u'v-uv'v2

Q: A rectangle has width w inches and height h inches, where the width is twice the height. Both w and…

A: It is given that, a rectangle has width w inches and height h inches, where the width is twice the…

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

A: See the details solution in below

Q: The area of a rectangle with one of its sides s is A(s) = 10s". What is the rate of change of the…

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Q: A balloon is deflating at a constant rate of 12 cm3 per second. When the volume of the balloon is…

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Q: A rectangular water tank is being filled at the constant rate of 35lt/s. The base of the tank has…

A: From the above information,  A rectangular water tank is filled at the constant rate, dVdt=35 lt/sec…

Q: A​ hot-air balloon is 190 ftabove the ground when a motorcycle​ (traveling in a straight line on a…

A: Let x be the horizontal distance from balloon to motorcycle, y be the vertical distance from the…

Q: Find the rate of change of area of the square in m/s with respect to its side when the sides, s, is…

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Q: What is the average rate of 5. If f (t) = -3t + 7t, describes the movement of a whale in meters.…

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Q: The length of a rectangle is increasing at a rate of 12 in./s, while its width is decreasing at 2…

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Q: For a certain animal, the surface area S of the body is related to the body's weight W according toS…

A: The surface area S of the body is related to the body's weight W according to S is:

Q: A square with side x cm, is changing with time where x(t) = 4t – 2. What is the rate of change of…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: that its value V(t), in dollars, after t years, is given by V(t) = 2600e¬0.09t a) What did the drum…

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

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Q: To determine drug dosages, doctors estimate a person’s body surface area (BSA) (in meters squared)…

A: Solution:Given     BSA=hm60To calculate  the rate of change of BSA with respect to mass for a person…

Q: Find the average rate of change of h (x) = 2x² – 7x from x = 3 to r = 6. Simplify your answer as…

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Q: The radius of a sphere decreases at the rate of 4 m/s. when the radius is 10m, then the rate of…

A: We will find the rate of change in surface area as following .

Q: Find the instantaneous rate of change for the function at the given value. g(t) = 4 – t² at t = - 6

A: Consider the function fx=x2+4x We have to find the instantaneous rate of change for the function…

Q: The length of a rectangle is 5t+5 and its height is , where t is time in seconds and the dimensions…

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Q: A colony of flies has an initial population of 4466. After t days, the population is given by…

A: We need to find the rate of change of the flies population.

Q: ind the average rate of change between the given points f(t)=t^2 -2t between t=2 and t=5

A: f(t)=t2-2tf(2)=4-4=0f(5)=25-10=15average rate of change  =f(5)-f(x)5-2  =15-03  =5

Q: In the equation, x² + y² = 45, what is the value of the rate of change in y with respect to time t…

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Q: For a certain animal, the surface area S of the body is related to the body's weight W according to…

A: The surface area S of the body related to the body's weight W is given by S=kW2/3…

Q: The radius of a right circular cylinder is given by √(t + 2) and its height is 1/2√t, where t is…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: The surface area of a cube with sides of length x is given by S = 6x2. Find the rate of change of…

A: Given: The surface area of the cube : S=6x2 To find : Rate of change of surface area with respect to…

Q: Water is being pumped into a tank at the rate of r(t)= 30(1-e^(-0.16t)) gallons per minute, where t…

A: Water is being pumped into a tank at the rate of

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: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units, (40 < x< 60) where x is the…

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Q: The radius of a right circular cylinder is given by sqrt(t+7) and its height is 2 (sqrt(t)), where t…

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Q: The pressure of 1 mole of an ideal gas is increasing at a rate of 0.05 kPa/s and the temperature is…

A: Given equation is PV=8.31T Also given that, dTdt=0.21dPdt=0.05P=17T=304 So,…

Q: The DeWitt Company has found that the rate of change of its average cost of producing a product is C…

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Q: Given the position function s =² + 9t – 5, what is the instantaneous rate of change at t = 3? o 15 O…

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Q: from the edge of a cliff into described by the function ht rate of change in the height - 4.9t² +…

A: Formula average height change=(h(b)-h(a))/(b-a) Where a=4second b=5second

Q: A square with side x cm, is changing with time where x(t) = 4t – 2. What is the rate of change of…

A: Given: A square with side x. changing with time is given as, xt=4t-2. The objective is to find the…

Q: In the equation, r² + y? = 45, what is the value of the rate of change in y with respect to time t…

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Q: The resale value R​ (in dollars) of a company car after t years is estimated to be given by…

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Q: If g'(x) is the rate of growth of a giant redwood tree in feet per year, what does (see picture)…

A: solution is given below

Q: If the rate of change in life expectancy I at birth for persons born in the United States can be…

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Q: a drug concentration curve is given by C(t)= 20te^-0.2t, which C in mg/ml and t in minutes. What is…

A: A drug cocentration curve isC(t)=20te-0.2tTo find the rate of concentration. We have to…

Q: As y increases by 10,x Jncreases by 5. Which equation represents this rate of change? (7.1B, 7.1D,…

A: Rate of change = change in y /change in x

Q: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

A: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

Q: The length of a rectangle is increasing at a rate of 9 in./s, while its width is decreasing at 2…

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Q: The quantity (in grams) of a radioactive substance present after t years is Q(t)=100e-0.421t. Find…

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

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Q: The rate of change of the concentration of a bacteria culture is given by R(t) =80/ln2 (2)t, where t…

A: Given

Q: if the rate of growth of the population of deer in a forest is modeled by R(t)= 2000e^(0.23t) deer…

A: The rate of growth of the population of deer in a forest is modeled by R(t)= 2000e(0.23t) deer per…

Q: Mr. Maranan is filling an ice cream cone. The cone is 12 cm tall and has a radius of 4 cm. If the…

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