r. Using differentials, approximate the percent error in computing the length of the hypotenuse.

Q: approximate the acceleration

A: Given: Ruth rode recorded her velocity v(t), in miles per hour for the selected value of t, Over the…

Q: O Find the average rate of change given g(z) = 3z + 4x – 1 from z = 2 to z = 4:

A: Average rate of change of the function is given by △y△x=y2-y1x2-x1

Q: n. lar velocity w for

A: Given: The formula relating to v and angular velocity ω for a circle of radius r To find linear…

Q: The measurement of the side of the cube is 6 cm long. If this length has an error of 1/12 cm. Find…

A: Topic = Derivative

Q: b. Use the differential you've just calculated to estimate the value of 9.2

A: Given that y=x-4. We need to find i)dy when x=13 and dx=0.2. ii) we need to calculate the value of…

Q: The pressure of wind in pounds per square foot, corresponding to the velocity in miles per hour has…

A:

Q: What is the average velocity, given s= (3t^2+5) ft and t changes from 2s to 3s

A:

Q: Find the average rate of change of h(t) = t3 + 2t² – t – 1 for the domain [0,5].

A: Given the function which lies on given domainh(t)=t3+2t2−t−1

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: The displacement (in meters) of a particle moving in a straight line is given by = 9t3 + 4t – 18, |…

A: Given,         The displacement in meters of a particle moving in a straight line is given by…

Q: The velocity of a moving object is v(t)=2t +/t in meters per second. What is its displacement, in…

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: Use differentials to approximate V42. b Express your answer as a ±- where a is the nearest integer.…

A: Use differential to find the (42)1/3

Q: Use differentials to estimate the value of V1.3. Compare the answer to the exact value of V1.3.

A:

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

A:

Q: 4. A beach ball is deflating at a constant rate of 10 cubic centimeters per second. When the volume…

A: NOTE: You have posted multiple questions we have given answer to the first question if there is a…

Q: Find the averags vaha of change ef -+2over achof mal ta) From 2 to D) From to 2 {e) Fiem 0 ta 3 ta)…

A: Given function is fx=-2x2+2. To find: The average rate of change of function over the given…

Q: What is the velocity at time t for a car that begins accelerating at a rate of 4 feet per second…

A: To determine the velocity from the given conditions

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: A circle has a radius of 5 cm jf the radius is increased by 0.l mm., what is the estimated increase…

A:

Q: B. What is the average rate of change of y with respect to x fromx-2 to x-5 when y-x2.3x? A) B) 3.…

A: Given that: y=x2-3x,   from   x=2   to   x=5

Q: Write the differential formula that estimates the given change in volume or surface. Then, use the…

A:

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: 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: 1a. What is the average velocity of the car between t=0 and t=15?   1b. What is the average…

A:

Q: s(t) =r? + 3t – 4 a. What is the average rate of change of s(t) over the interval 3 to 4?

A:

Q: A rocket is propelled upwards and reaches a height of h(t)=4.9t in t seconds. a) How high does it…

A: The given equation is: ht=4.9t2 a). The height after 35 seconds: Put the value of t =35 in given…

Q: Use the following data to calculate the R.L of various stations pegs on a vertical curve connecting…

A:

Q: Q3: Find the value of B, the energy density and the rate of energy flow per unit area S, for the…

A: Energy Density is defined as the total amount of energy in a system per unit volume.   It is denoted…

Q: 4/81.6

A: Given: 81.64 The formula for approximation using differential is L(x)≅ f(a)+f'(a)(x-a)

Q: Write a differential formula that estimates the given change in volume or surface area. Then use the…

A: S=4πr2 Differentiating with respect to r, we get ⇒dSdr=4π2r⇒dS=8πr dr Now when radius changes from…

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: Suppose a model for the surface area of a human body is given by S = 0.1094w0.425,0.725, where w is…

A:

Q: 2. A ball 6 inches in diameter is to be covered by a rubber material which is in-thick. Using…

A: Given, A ball 6 inches in diameter is to be covered by a rubber material which is 3/16 in thick.…

Q: A distance of 100 Kms. is covered by a man as follows : (i) 80 Kms. in a Car at a speed of 40 Kms.…

A:

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: Find the rate of change of the area of a square with respect to the length z of a diagonal when z =…

A:

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

A:

Q: An automotive engineer subjects a large number of brake pads to a stress test and measures the wear…

A:

Q: The velocity, v m/s of a ball thrown directly up in the air is given by ? = 20 − 10?, where t is the…

A: Soln :-         V = 20-10t            The time (t) when V is between 5 and 15 m/s.…

Q: write a differential formula that estimates the givenchange in volume or surface area. The change in…

A: Given: The volume of a sphere having radius r is given by V=43πr3 The radius of sphere changes from…

Q: 5) Approximate the values by using differentials: a. V99 b. e0.1 c. 2.015

A:

Q: f(30+h}-f{30)

A:

Q: artment has found that the demand in a particula 10 0 <a usand lipsticks were sold per week at a…

A:

Q: The centripetal force of an object of mass is given by F(r) where v is the speed of rotation and r…

A:

Q: write a differential formula that estimates the given change in volume or surface area. The change…

A: Given:

Q: What is the velocity at time t for a car that begins accelerating at a rate of 4 feet per second…

A: Given query is to find the velocity.

Q: The displacement, 8 in feet, of a particle moving in a straight line is given by 8 = 5t2 6t + 14,…

A:

Q: (a) Find the velocity of the particle at time t. s'(t) = (b) When is the velocity 0? (Use n as the…

A: Follow the procedure given below.