Please answer the following and show the complete solution.Please help ASAP! sin(0.5√x)3. Evaluate the derivative ofy =at x = 1, h = 0.2a) Analyticalb) First Forward, Backward and Central Divided Difference Approximationsc) If the step size is half for (b)d) For each of the numerical estimates (b) through (c), determine the percentrelative error based on (a).

Answered: orward step siz

Math

Advanced Math

orward step siz

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: (B) Use Laplace transformation to solve the differential equation √√2e-¹ y+16ym. +6+8y' csc 2x+…

Q: The von Bertalanffy growth model states that the rate of increase in the length L(t) of a shark of…

A: according to question, rate of increase in length of a shark of age t in years is proportional to…

Q: 6. Show that when 0 < |-1|< 2, (z-1)(z-3) Complex Analysis = m=() (z-1)" 2+2 2(z-1)

A: We solve by using Laurent Series.

Q: F (ƒ') - {¹(- Ji(- (-5w+4w2), (a) Find an expression for f (w) in terms of unit step functions u w…

A: Let us start solving the problem step by step We must find the values of f(w) F(x) and g(x)

Q: Consider the function f(x) = cos x - 3x + 1. Since f(0)f < 0, f(x) has a root in [0]. If we use…

Q: The bigger fixed-point is Blank 1. Blank 1 Add your answer The fixed-points of f(x) = (x² + 2) are¸…

Q: The fixed-points of f(x) = (x² + 2) are_ and

Q: •L. VAL 5. If F(x) = a. F'(1) b. F(2), by interpreting F(2) as an area √4t t² dt, evaluate the…

Q: The relative error is Blank 1. Suppose 3.141516 is estimated using 3.141529. The relative error is…

A: We have to find relative error.

Q: Evaluate: ²₁¹ (x² - y²) ²1 x+y du du dt

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: As per the policy we are allowed to answer only one question at a time. So, I am answering the first…

Q: The number 3.141529 estimates 3.141516 to Blank 1 significant digits.

A: This question is related to numerical analysis

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ(0)ƒ (=) < 0, ƒ (x) has a root in [0]. If we use…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ(0)ƒ <0, f(x) has a root in [0]. If we use…

Q: Consider the function f(x) = cos x − 3x + 1. Since f (0)ƒ () <0, f(x) has a root in [0]. If we use…

A: Here f(x) is a continuous function . If f(a)f(b)<0 then f(x) has a root in [a,b]. Now we use…

Q: Suppose 3.141516 is estimated using 3.141529. The relative error is (Answer must be in 7 decimal…

A: Let Xt be the true value and Xa be the approximate value of a number . Then the relative error is…

Q: 2e π/3 √√2²² 7/³ t Inu tans ds du dt

Q: Find the area of the region bounded by the curves 1 y = y = 4 and the x-axis using vertical strip.…

A: We have to solve given problems:

Q: 5. If Evaluate the following. (a) F' (9) (b) F (0), by interpreting F (0) as an area F(x) = √25-t²…

Q: Consider the function f(x) = cos x - 3x + 1. Since f (0)f () <0, f(x) has a root in [0]. If we use…

Q: Consider the function f(x) = cos x − 3x + 1. Since f (0)f() <0. f(x) has a root in [0]. If we use…

Q: x ди ?х ди ду =u+y.

A: Separation of variables

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) [ 7…

Q: Find the volume of the solid generated by revolving 1 the region bounded by y = e-x², the x-axis and…

Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x + 12. (-2,6) (2,-6) (-2,-6) (2,6)

A: We have to find point of inflection of given function.

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () < 0, f(x) has a root in [0]. If we use…

Q: Suppose 3.141516 is estimated using 3.141529. The relative error is (Answer must be in 7 decimal…

Q: If f(x) is continuous, f(-1) = 2, and f(2)= -1, then f(x) has a root in [-1,2].

Q: 6. Consider the Initial Value Problem (IVP) given by dy y(0) = = 1. 2 dx a. Sketch the slope field…

Q: 6. Show that when 0 <|z-1|< 2, (2-1)(z-3) = #=0 (z-1)" 2n+2 2(z-1)

Q: Solve xdx - x² (cot 2y + x2y cos 2y)dy = 0

Q: A random sample of 400 college students was asked if college athletes should be paid. The following…

Q: 6. Show that when 0 < |-1|< 2, (z-1)(z-3) Complex Analysis (z-1)" 2+2 =-36 z−3) ² A=0 2(z-1)

A: We use substitution and Laurent series expansion.

Q: b) Let A, B, and C be nxn matrices and suppose that ABC is invertible. Which of A, B, and C are…

Q: (Α True B False If the sequence {a}₁, is convergent, then the sequence {x} defined by…

Q: 3 An airplane is 1000 km from airport A and 500 km from airport B. The angle between the paths to…

A: Given: An airplane is 1000 km from airport A and 500 km from airport B. The angle between the paths…

Q: I.* Determine all the isolated singularities of each of the following functions and compute the…

Q: Is that letter n or x?

A: Solution

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, f(x) has a root in [o]. If we use…

A: Given, The function f(x) = cosx-3x+1 f(0)f(π2) < 0 , f(x) has a root in 0,π2. we have to find…

Q: If f(x) is continuous, f(-1) = 2, and f(2)= -1, then f(x) has a root in [-1,2].

A: We use the following theorem: (Bolzano's theorem) Let [a, b] be a closed and bounded interval and…

Q: Part 3: Matrix and Determinants. (0) Find the solution of linear equation using matrix and deter-…

Q: 8.) if z = x +jy, then Rez + Imz= (2+2) + ½/₂ (2-2²)

Q: X ди дх = u u+y ди ду

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () < 0, f(x) has a root in [0]. If we use…

A: For finding a zero of a function f, the secant method is defined by the recurrence relation.…

Q: Evaluate the integral: S/2 sin(4t-u) du dt

A: we have to find the integral ∫π2π∫0tsin(4t-u) dudt

Q: Use Dijkstra's algorithm to find the shortest path between nodes 1 and 7 in the following directed…

A: Given: A directed graph, To find: Shortest path using Dijkstra's algorithm.

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () <0. f(x) has a root in [0]. If we use…

Q: EXERCISE 1.4 Given the parametric curve P(t) = (2cos(t) + cos(2t), 2 sin(t) – sin(2t)) where 0 ≤t≤…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒf () < 0. f(x) has a root in [0]. If we use…

Q: Suppose 3.141516 is estimated using 3.141529. The absolute error is (Answer must be in 6 decimal…

A: This question from numerical analysis 's topic absolute error.

Question

Please answer the following and show the complete solution.

Please help ASAP!

sin(0.5√x)
3. Evaluate the derivative of
y =
at x = 1, h = 0.2
a) Analytical
b) First Forward, Backward and Central Divided Difference Approximations
c) If the step size is half for (b)
d) For each of the numerical estimates (b) through (c), determine the percent
relative error based on (a).

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

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here