Estimate h′(1.5) using the table above. 0.5h(q)2 2.5245 54611.52250110Estimate h'(1.5) using the table above.h'(1.5) =

Using the slope equation Slope=y2-y1x2-x1h'(1.5)⇒x1 will be 1 and x2 will be 2 and their respective…

Answered: 0.5 1 1.5 2.5 h(q) 22 50 110 245 546…

Math

Calculus

0.5 1 1.5 2.5 h(q) 22 50 110 245 546 Estimate h'(1.5) using the table above.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

See similar textbooks

Related questions

Q: 5. Calculate the rate of change by analyzing the differences in the y-values and the differences in…

A: Rate of change can be found using following formula :

Q: There was a girl in a class studying math with, of course, a math teacher. This girl's name is…

A: Given query is to find the amount converted in two hours.

Q: The cost of producing x units of a certain commodity is cx) = 1000 +5.70x + .7x2. What is the…

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: 6) A chemical flow into a storage tank at a rate of 180 + 3t liters per minute, where 0st< 60. Find…

A: Given: Rate of flow of chemical in tank in liters per min: dVdt=180+3t 0≤t≤60

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

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: Suppose an arrow is shot upward on the moon with a velocity of 70 m/s, then its height in meters…

Q: Initially a tank contains 10 lb of salt dissolved in 100 gal of water. Assume that brine containing…

A: Given that Initially a tank contains 10 lb of salt dissolved in 100 gal of water. Let x(t) be the…

Q: At 1:00 P.M., oil begins leaking from a tank at a rate of (4 + 0.77t) gallons per hour. (Round your…

A: We have, at 1:00 P.M., oil begins leaking from a tank at rate 4+0.77t gallons per hour. Let us…

Q: Could you please highlight the correct answer. and explain it

A: For baby dolphin group,

Q: S(2) = 32+-4 ant line to f(2) (ak.a, the average rate of change of ) from input val

A: Please refer to the image below

Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

Q: A tank contains 5001 of a solution consisting of 30 kg of salt dissolved in water. Pure water umped…

Q: m³ The volume of a large spherical balloon is increasing at a rate of 64 balloon's surface area…

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

Q: The half-life of a radioactive material whose rate of disintegration is proportional to the amount…

A: For the given statement

Q: Suppose that a volcano is erupting. Readings of the rate r(t) at which solid mate- rials are spewed…

A: Given data t 0 1 2 3 4 5 6 r(t) 2 10 24 36 46 54 60

Q: Suppose an automobile is moving with increasing velocity and that we measure the car's velocity…

A: We will find left Riemann sum and right Riemann sum with 5 interval .

Q: 35. To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters…

A: ..............(1)

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

Q: A village wishes to measure the quantity of water that is piped to a factory during a typical…

A: Given : A gauge on the water line gives the flow rate (in cubic meters per hour) at any…

Q: Suppose an automobile is moving with increasing velocity and that we measure the car's velocity…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: Use a linear approximation (or differentials) to estimate the given number. (Round your answer to…

A: Use the linear approximation solution is given below...

Q: In(y) = B1 + B2 x In(x)

A: The provided regression equation is:

Q: Suppose you hang a bucket from a spring that stretches it 15 mm from its natural length. You then…

A: Given:The difference in spring length when the bucket is attached = 15 mmData of length of spring…

Q: Suppose that the value of a yacht in dollars after t years of use is -0,24t What is the average…

A: Given:- Suppose that the value of a yacht in dollars after t years of use is V(t) = 150000e-0.24t…

Q: Suppose an arrow is shot upward on the moon with a velocity of 37 m/s, then its height in meters…

Q: A radioactive material, such as the isotope thorium-234, disintegrates at a rate proportional to the…

A: If Q(t) is the amount present at time t, then dQ/dt = −rQ, where r > 0 is the decay rate.…

Q: The relationship between stress (o), force (F) and area (A) acting on an object is given as F A Find…

Q: A tand contains 1000 liters of pure water. Brine that contains 0.05 kg of salt per liter of water…

Q: 25% of the initial intensity I.

A: answer is in next step

Q: A bacteria culture is known to grow at a rate propotional to the amount present. After one hour,…

Q: Suppose we want to estimate e0.017 using linear approximation. What is the approximate

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5. The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

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

A: Given r(t)=200-4tliters per minute, where 0≤t≤50

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

A: Consider the equation

Q: A tank initially holds 100 gallons of a brine solution containing 1 1b. of salt. At t = 0 another…

Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

A: dNdt=kN∫dNdt=∫kdtlnN=kt+ln N0N(t)=N0ekt

Q: The rate of U.S. per capita sales of bottled water for the period 2000–2010 can be approximated by…

Q: Find the rate of bubble volume increasing when the radus is 4cm if its surface area is increasing at…

A: Given: dSdt=4 cm/secdVdt|r=4 cm=?

Q: Compute the average rate of change of m(x)=x4 over the interval [a, a+x]. Simplify the expression…

A: Given: m(x)=x4 To find average rate of change of the given function over the interval [a,a+x]

Q: 5. Give the average rate of change over the interval 0 <x< 5

A: Given that y=x+2x-2find the average rate of change over the interval 0≤x≤5

Q: Use differentials to approximate to 3 decimal places ( 1.09 ) 1/3

Q: A deposit of $2000 at 2% interest compound continously will grow to v(t)= 2000e0.02t dollars after t…

Q: measurement of .1 cm. Use differentials to estimate the percentage error (to the nearest hundredth)…

Q: 2. The volume and radius of a right circular cylinder change at the rates of 1 cm^3/s and -2 cm/s,…

A: Given : Radius = 2cm, height = 1 cm Rate of change of radius is 2 cm/s and rate of change of volume…

Q: A tank containing 100 gallons of brine made by dissolving 40 lbs of salt in water. Pure water runs…

A: Pure water in flow rate = 5 galmin

Q: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is…

A: y = 56t - 1.86 t2 i) formula used ; average speed=f(b) - f(a) / b-a [1,2] average speed = f(2) -…

Q: A 631-kg elevator starts from rest and moves upward for 3.30 s with constant acceleration until it…

A: Step:-1 Part (A):- Average power = Force (F) × Average Velocity (vavg.) Given that elevator starts…

Concept explainers

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.

Question

100%

Estimate h′(1.5) using the table above.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Application of Integration$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Find the average rate of change of h(x)=x2-2x+3 (a) From -1to 1 (b) From 0 to 2 (c) From 2 to 5
A radioactive matierial decays according to the function A0e-0.0244t where A0 is the intial amount present and A is the amount present at a time t (in years). Assume that the scientist has a sample of 400 grams of the radioactive matierial. What is the decay rate of the radioactive matierial?
11.Suppose that during a controlled experiment, the temperature in a test tube attime t is rising at a rate of 6t^2+2 degrees centigrade per minute. If the initialtemperature is 20°C, what is the temperature in the test tube after 10 minutes?
Find the average rate of change of y with respect to x in the interval from x=5 to x=6 and the instantaneous rate of change of y at x=5.
Water flows from the bottom of a storage tank at a rate ofr(t) = 4(50 − t)e−0.05tliters per minute, where 0 ≤ t ≤ 50 minutes.1. Find the exact amount of water that flows from the tank during the first 10 minutes.
A ball is dropped on Mars where the distance traveled is s(t) = 1.9t2 meters int seconds. Compute the ball's average velocity over the time interval [5, 9] and estimate the instantaneous velocity at t = 5.
Compute the average rate of change of g(x)=1/x over the interval [1, 1+x]. Simplify the expression as much as possible.
A deposit of $2000 at 2% interest compound continously will grow to v(t)= 2000e0.02t dollars after t years. Find the average value during the first 40 years. ( that is, from time 0 to time 40). Round your answer to the nearest cent
A stone is tossed in the air from ground level with an initial velocity of 2525 m/sm/s. Its height at time tt is h(t)=25t−4.9t2h(t)=25t−4.9t2 mm. Compute the stone's average velocity over the time interval [0.5,3][0.5,3]. Average velocity = ?
Suppose a tank initially contains 10 pounds of dissolved salt in 100 Gallons of water. At time t = 0, water containing 0.2 pounds of salt per gallon begins flowing in at a rate of 2 gallons per minute. At the same time, a drain opens allowing the perfectly- stirred mixture to also flow out at 2 gallons per minute. One hour later (t=60), what is the amount of salt in the tank, and what is the concentration of salt in the mixture?
Total differential z = 5(x^3)(y^2)