Homework Answers
Add Answer to:
I need an explanation. Thanks.
Use the Existence and Uniqueness Theorem to prove that the trajectories...
4. Consider the differential equation with initial condition r(0) = 0 (a) What does the existence...
4. Consider the differential equation with initial condition r(0) = 0 (a) What does the existence and uniqueness theorem tell you about the solution to this IVP? (10 points) (b) Use separation of variables to find the solution for the IVP r(to) = Io for to +0. (5 points) (c) Are the solutions to b) unique? (5 points) (d) Sketch solutions for Xo = --1,0,1 and to = 1 and show that for all to and to the solution goes...
clear explanation . tks (thumb) In this question you must state if you sandwich theorem. You do not need to justify usi...
clear explanation . tks (thumb)
In this question you must state if you sandwich theorem. You do not need to justify using limit laws. use any standard limits, continuity, l'Hôpital's rule or the C (a) Find the following limits if they exist 2 5 3x13 (i) lim x-o0 213 +9-1' (cosech r (ii) lim т-0L 2 COS (b) Let a, bE R be two arbitrary constants and consider the function for 1 2 — sech (аx —1) f(ar) 1 for...
2) (i) State the converse of the Alternate Interior Angle Theorem in Neutral Geometry. (ii) Prove...
2) (i) State the converse of the Alternate Interior Angle Theorem in Neutral Geometry. (ii) Prove that if the converse of the Alternate Interior Angle Theorem is true, then all triangles have zero defect. [Hint: For an arbitrary triangle, ABC, draw a line through C parallel to side AB. Justify why you can do this.] 5) Consider the following statements: I: If two triangles are congruent, then they have equal defect. II: If two triangles are similar, then they have...
1. PRELIMINARY DISCUSSION 1.1. Goal. The goal of this assignment is to use Green's Theorem and li...
I need to solve q3. Please write clean and readable. Thanks.
1. PRELIMINARY DISCUSSION 1.1. Goal. The goal of this assignment is to use Green's Theorem and line integrals to prove the following theorem. Theorem 1. Let S denote the closed unit ball in R2, that is, S := {x E R2 : 1-1 Assume that F : S → R2 is a function of class C2 such that F(x) = x for all x E as. Then it cannot...
Can anyone help me prove the theorem 49 by using the following hint( Circle)? Here is...
Can anyone help me prove the theorem 49 by using the following
hint( Circle)?
Here is Theorem 39, can't use like right angles are 90 degrees,
or that triangles are 180 degrees.
Strong Right Angle Theorem 49. All right angles are congruer Consequently, a right angle is congruent to another angle if and only if the other angle is also a right angle.) Since you have already proven Theorem 39, it remains only to prove the converse: i f LX...
I need help with 1.24 EXERCISE 1.20. Prove that every subspace VCR has an orthonora basis....
I need help with 1.24
EXERCISE 1.20. Prove that every subspace VCR has an orthonora basis. HINT: Begin with an arbitrary basis. Do the following one besi member at a time: subtract from it ils projection onto the son of the premio basis members, and then scale it to make it of unit length. This is called the Grm-Schmidt process EXERCISE 1.21. Prove Lemma 1.16 EXERCISE 1.22. Is the converse of part (1) of Proposition 1.17 true? EXERCISE 1.23. Let...
A tinctlon of series y I Taylor The 6. Taylor's Remainder Theorem. fn)(0) where fw) is the n-th d...
a tinctlon of series y I Taylor The 6. Taylor's Remainder Theorem. fn)(0) where fw) is the n-th derivative of f, and the remainder term Ry is given by NN+1 for some point c between 0 and z. (Note. You do not need to prove Taylor's Remainder Theorem.) Problems (a) (5%) write this series for the function ez for a general N (b) (10%) Apply Taylor's Remainder Theorem to show that the Taylor series of function f = ez converges...
I lost in this I need help please thank you 6) [8] с Use Green's Theorem...
I lost in this I need help please thank you
6) [8] с Use Green's Theorem to rewrite the integral [F.dr for the given vector field over the path C. F(x,y)=(x? In y, log; y+x’ tan-' x) and C is the boundary of the region D, bounded by the parabola x = y² and the line y=x-2. Assume positive orientation. SET UP the integral using Green's Theorem and include all bounds and variables of integration but DO NOT evaluate the...
I need help with part 2, thanks! Problem 4 (1) Use first law to directly prove...
I need help with part 2, thanks!
Problem 4 (1) Use first law to directly prove that work done by an ideal gas during an adiabatic process is CV (Ti -Tf), where T1 and Tf are the initial and final temperatures of the system. (2) Show that the heat transferred to an ideal gas system during an infinitesimal reversible process can be written as where c and ?,, are specific heat capacities under constant volume and pressure, respectively. Use this...
I just need the answer and explanation for d, thanks 29. A lens with f =...
I just need the answer and explanation for
d, thanks
29. A lens with f = 4cm is used as a magnifying glass as shown below to image a small object of height 0.5 cm. The magnifying lens is being used by a person whose vision near point is 25 cm. The vision near point is the closest point the person can focus his eyes on a object without using a magnifying glass. (a) The object is initially 2.4cm from...
4. Consider the differential equation with initial condition r(0) = 0 (a) What does the existence and uniqueness theorem tell you about the solution to this IVP? (10 points) (b) Use separation of variables to find the solution for the IVP r(to) = Io for to +0. (5 points) (c) Are the solutions to b) unique? (5 points) (d) Sketch solutions for Xo = --1,0,1 and to = 1 and show that for all to and to the solution goes...
clear explanation . tks (thumb)
In this question you must state if you sandwich theorem. You do not need to justify using limit laws. use any standard limits, continuity, l'Hôpital's rule or the C (a) Find the following limits if they exist 2 5 3x13 (i) lim x-o0 213 +9-1' (cosech r (ii) lim т-0L 2 COS (b) Let a, bE R be two arbitrary constants and consider the function for 1 2 — sech (аx —1) f(ar) 1 for...
I need to solve q3. Please write clean and readable. Thanks.
1. PRELIMINARY DISCUSSION 1.1. Goal. The goal of this assignment is to use Green's Theorem and line integrals to prove the following theorem. Theorem 1. Let S denote the closed unit ball in R2, that is, S := {x E R2 : 1-1 Assume that F : S → R2 is a function of class C2 such that F(x) = x for all x E as. Then it cannot...
Can anyone help me prove the theorem 49 by using the following
hint( Circle)?
Here is Theorem 39, can't use like right angles are 90 degrees,
or that triangles are 180 degrees.
Strong Right Angle Theorem 49. All right angles are congruer Consequently, a right angle is congruent to another angle if and only if the other angle is also a right angle.) Since you have already proven Theorem 39, it remains only to prove the converse: i f LX...
I need help with 1.24
EXERCISE 1.20. Prove that every subspace VCR has an orthonora basis. HINT: Begin with an arbitrary basis. Do the following one besi member at a time: subtract from it ils projection onto the son of the premio basis members, and then scale it to make it of unit length. This is called the Grm-Schmidt process EXERCISE 1.21. Prove Lemma 1.16 EXERCISE 1.22. Is the converse of part (1) of Proposition 1.17 true? EXERCISE 1.23. Let...
a tinctlon of series y I Taylor The 6. Taylor's Remainder Theorem. fn)(0) where fw) is the n-th derivative of f, and the remainder term Ry is given by NN+1 for some point c between 0 and z. (Note. You do not need to prove Taylor's Remainder Theorem.) Problems (a) (5%) write this series for the function ez for a general N (b) (10%) Apply Taylor's Remainder Theorem to show that the Taylor series of function f = ez converges...
I lost in this I need help please thank you
6) [8] с Use Green's Theorem to rewrite the integral [F.dr for the given vector field over the path C. F(x,y)=(x? In y, log; y+x’ tan-' x) and C is the boundary of the region D, bounded by the parabola x = y² and the line y=x-2. Assume positive orientation. SET UP the integral using Green's Theorem and include all bounds and variables of integration but DO NOT evaluate the...
I need help with part 2, thanks!
Problem 4 (1) Use first law to directly prove that work done by an ideal gas during an adiabatic process is CV (Ti -Tf), where T1 and Tf are the initial and final temperatures of the system. (2) Show that the heat transferred to an ideal gas system during an infinitesimal reversible process can be written as where c and ?,, are specific heat capacities under constant volume and pressure, respectively. Use this...
I just need the answer and explanation for
d, thanks
29. A lens with f = 4cm is used as a magnifying glass as shown below to image a small object of height 0.5 cm. The magnifying lens is being used by a person whose vision near point is 25 cm. The vision near point is the closest point the person can focus his eyes on a object without using a magnifying glass. (a) The object is initially 2.4cm from...
Most questions answered within 3 hours.
-
Minitab Problem: Take the Lake Hume June rainfall data and find
use the processes outlined in...
asked 39 minutes ago -
X Company is trying to decide whether to continue using old
equipment to make Product A...
asked 40 minutes ago -
IN PYTHON ONLY !! Program 2: Re-work
program #5 (WeeklyHours) from the previous assignment such that...
asked 1 hour ago -
The average length of time between arrivals at a turnpike
toll-booth is 26 seconds. What is...
asked 2 hours ago -
(a) A piston at 6.1 atm contains a gas that occupies a volume of
3.5 L....
asked 4 hours ago -
Please answer true or false. Words
cannot be changed or added in to make it true...
asked 4 hours ago -
An empty test tube weighs 15.923 grams. Then,
MgCl2•6H2O is added into the test tube. After...
asked 4 hours ago -
Assume memory access is 10 units of time and disk access is
10000 units of time....
asked 4 hours ago -
1. Are all good samples random?
2. Magazines often report surveys giving statistics such as “63%...
asked 4 hours ago -
Under all the various types of market structures, firms
must eventually earn some economic profits for...
asked 4 hours ago -
Consider the following fitness regime for a single locus trait
with two co-dominant alleles: w11 =...
asked 4 hours ago -
A large cable company reports the following.
80% of its customers subscribe to its cable TV...
asked 4 hours ago