Question: 1) Explain why sin(x) ~ x for x near 0. Conclude that lim x->0 X 2) Let f(x) = 3x3 + 2, and look at

1) Explain why sin(x) ~ x for x near 0. Conclude

1) Explain why sin(x) ~ x for x near 0. Conclude that lim x->0 X 2) Let f(x) = 3x3 + 2, and look at x = 1. Compute Ay and dy when Ax = dx = 0.01, and explain (in terms of the graph) what are the meanings of Ay and dy in this case

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

9. Find the limits if they exist. (You are not allowed to use the l'Hopital Rule.) (a) lim tan(x* + x - 1). x-+1 (b) lim In(23 + 2). x-+1 (c lim cos 1(x2 - x). x-+0 sin 9x (d) lim x -+0 sin 7x tan -1...

1) Explain why sin(x) ~ x for x near 0. Conclude that lim x->0 X 2) Let f(x) = 3x3 + 2, and look at x = 1. Compute Ay and dy when Ax = dx = 0.01, and explain (in terms of the graph) what are the...

can you please help me out solving those equations, thank you. "Plasse show all the work in separate paper thank you. AutoSave OFF w MAT271-Lab2-Limits-FA20(1) - Saved to my Mac Home Insert Draw...

For the function / whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why. (a) I.'ll'!}_x) ] lll;\\i ) e lim flx) (d) lim f(x) @ f(3) vk "3 ....

MATH 1004, Section B & E Due 16 October, 2017 (at the beginning of tutorial) ASSIGNMENT 1 1. Evaluate the following limits x3 x x1 x 1 ex (b) x lim 3 x (a) lim (c) lim q t/4 | sin(t)| Hint: sin(/4) =...

Lesson: Limits of functions Direction: Pick-up lines regarding limit of function At this point, make an output by making a DIY bookmark with pick-up lines/puns regarding the limit of a function. You...

a. Find the derivative function f for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. f(x) =2x - 9x + 10, a = 3 a. f' (x) = b. y=a....

1. (01.07 MC) sin x Let k(x) be a piecewise defined function so that k(x) = X if x #0 The function h(x) is given by the graph below. Which of the following equals lim )-(x)? (1 point) 0 X-+0 K (x) if...

DO EVERY QUESTION PLEASE AND SHOW YOUR WORK! TIDY HANDWRITING AND CIRCLE THE ANSWERS BY TONIGHT THANK YOU SO MUCH 5. Given: g(x) = ex tan x a) Which rule should be used to find the derivative?...

need help with practice questions MCV4U Practice Answer (or Solution) Practice Questions 1. Consider the function f(x) defined by the following graph: 2 1-4 -3 -2 -1 2 Find: a) lim f(x) b) lim f(x)...

A 10-in slender rod weighing 6 lb is supported by a spring with a stiffness k = 60 lb/in. A force P = 35 lb is applied to the rod at the location shown in the figure. Determine the deflection of the...

You want to enclose a rectangular region with an area of 1200 square feet and a length of 40 feet, 50 feet, or 60 feet. Find the perimeter for each possible region. Explain why you might rewrite the...

In a seven - stage approach to managing supply chain risk, which step involves simplifying processes, improving reliability, and reducing costs and variability? a . Understand the supply chain. b ....

(a) Given that the matrix T-2 -2 -21 A = 6 -2 -6 -6 -2 21 may be decomposed as follows: [-2 -2 -21 6 -2 -6 [-6 -2 -21 0 -8 -12 21 1 -2 -2 = |-3 2] 1 3 -0.5 1ll o Hence evaluate the determinant of A ,...

Mashabane Insurance Services would like to revamp their insurance app in order to make it more appealing, user friendly and efficient. When users click on the app icon on their mobile phones, a login...

Q5. a) Find u(x,t) from the wave equation, where length of string is L=1, c = 1 and the initial velocity is zero and the initial deflection is as follows. :1/4] 1/4 3/4 1 -1/4

Question 7 . Given the following simple maze, convert the maze into a graph. ( 5 points ) Question 8 . Implement depth first search in the maze function in homework 1 . py . ( 2 0 points ) Question 9...

10. Try to remember the last communication you entered into. How many times did you fill in information that the other person did not convey? How many times did you speak before the other person...

6. Think of a situation where you noticed that the other person or people did not like or understand your behaviour. Examine your own intentions behind the behaviour.

2. In this chapter, the reader should reflect on the following concepts: historical reason, goal orientation, core values and top performance.