3) Suppose that we need information about the derivative of the data below. a) Apply forward, backward and central difference methods to find the derivative (by hand, but use a calculator.) 0 0.9572 0.5 0.4854 1 0.8003 1.5 0.1419 22334 2 0.4218 2.5 0.9157 3 0.7922 3.5 0.5595 4 0.6557 4.5 0.0357

3) Suppose that we need information about the derivative of the data below. a) Apply forward, backward and central difference methods to find the derivative (by hand, but use a calculator.) 0 0.9572 0.5 0.4854 1 0.8003 1.5 0.1419 22334 2 0.4218 2.5 0.9157 3 0.7922 3.5 0.5595 4 0.6557 4.5 0.0357

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...

See similar textbooks

Related questions

Q: Draw the free body diagram for the ring and draw a free body diagram for one of the beads?

A: Proper solution with step by step is provided below:Explanation:Step 1: Step 2:

Q: 1. Let f : (−1,1) → R, f(x) = (1+x³)-³. Compute g' : (0, 1) → R where (a) g(x) = X X f. (b) g(x) =…

A: Answers along with explanations are provided in the image. Explanation:

Q: 2) Find all critical points of h(t) = t³½ - 2t4 and identify them as local maximum points, local…

Q: 3. Evaluate the following integrals by the method of residues: (g) 1/2 a So 1 + x² x2 dx, (h) √ (1 +…

Q: Question Two boats are sailing on a lake. The position of the first boat at time t is given…

A: a. To track down the distance between the two boats at time $ t $, we utilize the distance…

Q: b 5. Does the graph bellow have a Hamiltonian path? Hamiltonian circuit? a 4 جوه a h g b с e

A: A Hamiltonian path in a graph is a path that visits every vertex exactly once. It's named after Sir…

Q: 1.20. Show that (a) r sin(ak) k=1 = r sin a r2-2r cos a+1'

Q: The standard form for an ellipse whose major axis is parallel to the axis is: Where Use…

A: Given that the image of the ellipse is .

Q: Consider a theoretical model for mutual inhibition in ecological systems where n > 0 measures the…

Q: Solve each of the initial value problems. Clearly label the general solution, and then the…

A: (e) The given equation is Then, equation(1) can be rewritten as , with Let be a trial…

Q: 8. For a given set A, and an equivalence relation R defined on A, select one property and prove it.…

Q: A patient has $220 of the $240 Medicare 2024 deductible. The patient receives a service with a…

A: The objective of this question is to determine the amount the patient is responsible for paying…

Q: Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2

A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 3. Consider a network (G, w). Let c € R, and let m: E(G) → R such that m(e) = w(e) + c for all e €…

A: Ans-3)(a) To show that T is a minimum spanning tree of (G, w) if and only if it is a minimum…

Q: Choose the proper substitution to solve the following Bernoulli's equation: y' - 10xy=-x²y³ Select…

A: A Bernoulli's equation is represented by the equation where P and Q arefunctions of x only.…

Q: Let W be the set of all vectors of the form 4r3s+t 2s 2r t - - 4s 2r 3t - - - (r+5s) with r, s and t…

Q: 1) On a separate sheet of paper, copy this figure and rotate the preimage, given the point of…

A: answer is in next step

Q: Let -2 4 -5 A 4 -3 Сл 5 -2 4 -5 A basis for the column space of A is { }. vector

A: A basis for the column space of matrix A is given by the set of columns corresponding to the pivot…

Q: A forced vibrating system is represented by d2 dt2 y(t) +8 (✓ y(t)) + 15 y(t) = 260 sin (t) The…

A: Given that d2dt2(y(t))+ddt(y(t))+15y(t)=200sin(t)and solution of the homogenous equation is…

Q: Solve the following differential equation by variation of parameters. Fully evaluate all integrals.…

A: Given that the differential equation is

Q: In which of the following sets of numbers does each element have its inverse with respect to the…

A: Consider the given sets with usual multiplication.(a) , (b) , (c) , (d) , (e) .We need to identify…

Q: 522 Construct a matrix whose column space contains 2 and contains 0 -1 and whose nullspace 2

Q: Σ° (4)" n = 1 Σω, 3 (1) 8 Σor1 2 ( 33 ) " What n=1 is the convergence of each Previous example?

A: Question explained below:Explanation:ANSWER : 1 ANSWER : 2 ANSWER : 3

Q: Is the following compound proposition satisfiable? Justify your answer. (p^q) (mvq) ^ ( q→ ¯p)

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 0, 0<t<2 (b) f(t) = et, 2<t

Q: Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the 8…

Q: Consider the function f(x, y) = 2x² − y² + 4x + 6y subject to x + 2y = 20 a) Find the extreme point…

Q: A In the Figure to the right, Find the area of AACF. (Your answer must be exact) 6 D 5 B LL 5 E 6 0

A: Given, a right , in which the side lengths are It is required to find the area of .To solve the…

Q: Use the convolution theorem to obtain a formula for the solution to the given initial value problem.…

A: Given differential equation We have to solve the given initial value problem using convolution.

Q: B-9- and Construct a matrix for which N(A) = all combinations of 9. 9. 9. 9. 9. 9. 9. Construct a…

Q: 1. Consider a point particle with position vector r = (x, y, z) in Cartesian coordinates, moving…

A: Given that position vector of a particle at any instant t, so But given thatso we get (d) Now from…

Q: H4. Consider an ODE d dx(t) = fi(x,y) ty(t) = f(x,y), d dt that has precisely two equilibrium…

Q: The proportion of adults living in a small town who are college graduates is estimated to be p=0.3.…

Q: Question 4 Use the given information to find the exact value of the expression. sin α = 3, & lies in…

A: 42587 Option D is correct. Explanation:

Q: 25 Σ (13 – 21)

Q: Which of the following subsets of the sets in the set of real square matrices of size 2 x 2 is…

Q: Can you please help me out with this question. The problem that I’m asking to solve is if 15a + 12b…

A: No integral solution exists for the equation 15a+12b=7.Explanation:Step 1:To determine if the…

Q: Simpson's rule for integrating a function over the interval [-h, h] can be written in the form, •h…

A: Given that Choose in (3), we obtain, Then, the equation becomes,Choose the function in we…

Q: A patient has $220 of the $240 Medicare 2024 deductible. The patient receives a service with a…

A: The objective of this question is to determine the amount the patient is responsible for paying…

Q: Study this system of equations. 4x + y = -16 y + 4x = -4 Which statement…

A: The objective of this question is to determine the solution to the given system of equations. The…

Q: Q1 If A 010 1 Par API AYA² KA ナ show That:

A: If , show that .

Q: A theater owner has to fill 1,000 seats in her largest theater. She can fit 2 children or 1 adult…

A: The required combinations are :A=800,C=100 (800 adults and 100 children)A=600,C=200 (600 adults and…

Q: (a) (N,), a 2. (b) (C\{0},), a = i. (c) (Z2×2,), a = [7]. (d) (R³, +), a = (1, −1, 1, −1, 1, . . .).…

A: (a) Here .Noted that there is no positive integer .Hence no finite order exists for .also there is…

Q: Questions: 2 part a question I 2 part b Handwritten clearly and cannot stress this enough, not…

A: 2a) Both i) z + i(z - Z) - 2 = 0 and ii) Im(z) = 1/2 represent the real (x) axis, as they satisfy…

Q: Consider the symmetric matrix 0 3 0 M = 3 0 0 0 0 -1 Find constants C1 and C2 such that the…

A: we need to find first eigen value and eigen vector for the given symmetric matrix:therefore we have

Q: USE LATEX CODE,OR TYPE THE ANSWER(3) (LATEX question) Let n ∈ N and take any c ∈ R. Find lim xn −…

A: The limit of the given function as x approaches c is n⋅cn−1.Explanation:To find the limit of the…

Q: Chipotle Mexican Grill, Inc. (CMG) is a quick-service restaurant providing a focused menu of…

A: The objective of this question is to perform a vertical analysis of the income statements of…

Q: Decide if the statement is True or False. Justify your answer. Explain why is it true orwhy not, and…

A: Please refer to the explanation below. If you need any clarification, please let me know immediately…

Q: Related Problem 08 +01 Simplify the Boolean expression ABC + ABC + ABC + ABC.

Q: 5) Let y(x) = ax" be the Taylor expansion about x = 0 of the solution of the ODE IVP y" + xy + (sin…

A: Taylor's series of sin⁡(x) about x=0 issin⁡x=x−x33!+x55!−x66!+⋯

Question

pls help

3) Suppose that we need information about the derivative of the data below.
a) Apply forward, backward and central difference methods to find the derivative (by
hand, but use a calculator.)
0
0.9572
0.5
0.4854
1
0.8003
1.5
0.1419
2
0.4218
2.5
0.9157
3
0.7922
3.5
0.5595
4
0.6557
4.5
0.0357

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction of the Forward, Backward and central difference methods

VIEW

Step 2: Determine the derivative using Forward difference methods

VIEW

Step 3: Determine the derivative using backward difference methods

VIEW

Step 4: Determine the derivative using central difference methods

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Can the average rate of change of a function be constant?
Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
Determine whether each of the following statements is true or false, and explain why. The derivative of a sum is the sum of the derivatives.
Determine whether each of the following statements is true or false, and explain why. The derivative of a quotient is the quotient of the derivatives.
Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?