Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t (sec) v (m/s) 10 20 30 40 50 60 8 29 51 65 63 46 Estimate the distance traveled by the vehicle during this 60-second period using L6, Re and M3. %3D meters Re = %3D meters M3 meters

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 concentration, C, of phenylbutazone, in micrograms per milliliter (ug/mL), in the plasma of a…

A:

Q: The table shows speedometer readings at 10-second intervals during a 1-minute period for a car…

A:

Q: A 1.257 1.39 1.52 1.65 1.809 1.962 2.123 2.295 2.462 2.650 2.827 1.5 1.65 1.8 1.95 2.10 2.25 2.40…

A: given formula 0.018T=∫1.53Axdx           ...i calculate T the time in second for the level of water…

Q: The table shows the position of a cyclist. t (seconds) 0 12 3 45 s (meters) 0 1.1 5.3 10.1 17.4 26.1…

A: a Average velocityi)1,3Average velocity=s3-s13-1=1001-1.12=4.5 m/sii)2,3Average…

Q: v(t) (feet per second) 90 (seconds) 80 0. 70 12 60 10 20 15 30 50 20 55 40 25 70 30 30 20 35 81 10…

A:

Q: A soccer ball is kicked into the air. The given table shows the average velocity of the ball in…

A: Given,

Q: The velocity v(km/min) of a moped which starts from rest, is given at fixed intervals of time t…

A: if s (km ) be the distance covered in time t(min ) then  ds/dt =v  estimate approximately the…

Q: he table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.5 4.8 10.1 17.5…

A: Since this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour…

A: Formula Used: The average rate of change in the interval [a,b]: ARC=f(b)-f(a)b-a a. (i) [1.0,2.0]…

Q: t(sec)t(sec) 0 5 10 15 20 25 30 35 s(t)(ft)s(t)(ft) 0 1 3 7 12 19 28 37 (a) What is…

A:

Q: A rocket will carry a communications satellite into low Earth orbit. Suppose that the thrust during…

A: Please see the answer below.

Q: v(t)is the velocity of a moving object measured in feet per minute. (a) What does v(t) dt represent?…

A: 14. Given that, vt is the velocity of a moving object measured in feet per minute. (a) From the…

Q: The table below shows the position of a cyclist. Find the average velocity for each time period. t…

A:

Q: a ball is dropped from a state of rest at time t=0  the distance traveled after t seconds is…

A:

Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) o 1 2 3 4 5…

A:

Q: The velocity of a particle on the time interval 1 ≤ t ≤ 4 is v(t) = t³ - 1, where v(t) is in cm/s.…

A: topic- average of function over interval

Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table. t…

A: This question is about integration as sum of limit

Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) 1 2 3 4 5 6…

A: We have to find the average velocity for each given time period and plot the point and find the…

Q: find the average rate of change of the function over the given interval or intervals.

A: Given function, ht=cott

Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) s (feet) 0…

A: If the distance travelled is s1 in t1 and s2 in t2, then the average velocity is vavg=s2-s1t2-t1.…

Q: Analysis 3: Based on the design of the antennas, the Standard Absorption Rate (SAR) of RF power by…

A: Given - Based on the design of the antennas, the Standard Absorption Rate (SAR) of RF power by the…

Q: The table shows the position of a cyclist. t (seconds) 0 1 3 4 5 s (meters) 0 1.5 4.6 10.7 17.4 24.2…

A:

Q: The table shows the position of a cyclist. t (seconds)     0 1 2 3 4 5 s (meters)     0 1.6…

A: The average velocity for [1,3] = 4.65Answer: a) i) 4.65

Q: Using the data in Table I, use a right-endpoint estimate to calculate the distance traveled by the…

A: To find the distance

Q: The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using…

A:

Q: A ball is dropped from a height of 49 feet. Its height above ground (in feet)t seconds later is…

A:

Q: Analysis 3: Based on the design of the antennas, the Standard Absorption Rate (SAR) of RF power by…

A: Consider the SAR function, SARt=2t+e0.1t+2 Where, t is in second. (1) We need to formulate a…

Q: The velocity of a car is recorded at half-second intervals (in feet per second). Use the average of…

A: Given

Q: 38. Change of revenue. For x and p as described in Exercise 37, find the rate at which total revenue…

A: Total revenue is given by R = xp We have to find rate at which total revenue R = xp is changing when…

Q: The table shows the position of a cyclist. t (seconds) 0|123 4 |5 s (meters) 0|15 10 17 25 (a) Find…

A: Given query is to find the average velocity using the table.

Q: t (s) 0 0.2 0.4 0.60.8 1 s (ft) 00.45 1.5 3.8 6.59.6 Find the average velocity over the interval 0…

A: Average velocity =V=(displacement between two points)/(time needed to make the displacement)   V=(…

Q: 3. The data table below shows the instantaneous velocity of a car every 5 minutes. Use Simpson's…

A: Note: We are entitled to solve the question with one method only. As the specified method is not…

Q: In an experiment to estimate the acceleration of an object down an inclined plane, the object is…

A: Note: Hey there! Thank you for the question. As you have posted a question with several sub-parts,…

Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.6 4.8 10.7 17.1…

A:

Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) 0 2 3 4 5 6…

A: Given: To find: average velocity( ft /sec) for each time period

Q: The table gives the position s (t) of an object moving along a line at time t, over a two-second…

A: Given S(t) is object moving along the line at t time We know that average velocity over intervel…

Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table. t…

A: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table t…

Q: 2. Heat is lost steadily through a 0.5-cm thick 2 m 3 3 m window glass whose thermal conductivity is…

A:

Q: The table shows speedometer readings at 10-second intervals during a 1-minute period for a car…

A: The distance travelled from 0 to 60 sec is  ∫060v(t)dtinverval is 10 seconds we need to convert…

Q: A car starts moving at time t =0 and goes faster and faster. Its velocity is shown in the following…

A:

Q: t (hours) 1.0 1.5 2.0 2.5 3.0 C(t) (mg/mL) 0.35 0.26 0.19| 0.12 0.06 (a) Find the average change of…

A:

Q: Consider the position function s(t)=6sin5t that describes a block bouncing vertically on a spring.…

A: Given  The position function is s(t)=6sin5t Formula for average velocity  is  Where  v is velocity…

Q: The table shows the position of a cyclist. t (seconds) s (meters) (a) Find the average velocity for…

A:

Q: The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are…

A: Given that the velocities(in mi/hr)of an automobile moving along a straight   highway over a 2-hr…

Q: The dye dilution method is used to measure cardiac output with 10 mg of dye, using the following…

A: Given:-Cardiac output with 10 mg of dye.Cardiac output =Quantity of dye∫013(concentration of dye)…

Q: C. length x, width = D. length = 2x, width - [Select] da = 24 = 24 V What is the appropriate…

A:

Q: The graph below shows the relationship between the height of water in a bottle (in inches), h, and…

A:

Q: The velocity of a car was read from its speedometer at 10-second intervals and recorded in the…

A: Find the distance traveled by the car using the Midpoint rule as follows. The distance traveled by…

Q: A rocket will carry a communications satellite into low Earth orbit. Suppose that the thrust during…

A: Solution: a) Looking at the curve the acceleration increases, then decreases, and then increases…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.