Question: 5. a Evaluate lim ( 3x3 + 7x-16). (2 marks) b. What is the meaning of this value? (2 marks) 6. Evaluate the following limits.

5. a Evaluate lim ( 3x3 + 7x-16). (2 marks) b. What is the meaning of this value? (2 marks) 6. Evaluate the following limits. 16 (3 marks) 17 lim- (3 marks) e. lim 49 + 1 -7 (4 marks) d. lim (2 marks) 21 -7y+12 e. lim- 2-h (3 marks) Copyright ( 2021 The Ontario Educational Communications Authority, All rights reserved TVOILC MOV4U Leaming Activity 1 4 Unit 1: Rates of Change Assessment Opportunity 7. Find the slope of the tangent line at point (-2,2) on the curve /() = 2 + + 3c using First Principles. (4 marks) 8. Find the derivative of the function - 10x + 3 using First Principles. (4 marks) 9. Using first principles, determine the equation of the tangent line at point (2,2) on the curve /(x) = x 2 - 7 + 12. (5 marks) 10. At what point on the parabola y = 3 x * + 2t is the tangent line parallel to the line y = 10x - 2? Use first principles in your solution. (6 marks)

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!

( Please answer these 10 questions ID really appreciate it) 1.Determine the average rate of change of y in the function y = 2 x 3 + 7 x 2 + 2 x 3 over the interval [3,5]. 2. Given the function f ( x...

1. Fill in the tables below for each of the following polynomials: [K10] a) f(x)=x-13x+3x-9 Degree Type of polynomial b) f(x)=6x4 +7x-8x+9 Degree Type of polynomial Sign of leading End behaviours...

please show work/steps clearly Evaluate the given limits. Exercise 1. [1 mark] x - 7 lim x-7 X Exercise 2. [3 marks] 2x2 - x - 15 lim x-+3 x2 - 9 Exercise 3. [3 marks] 1+ - lim x--1 1+x-8- -6 ( - 2,...

1. Find the domain of the function f ( x )= x 2 x +2 1) ______ (A) D=( ,2 ) ( 2, ) (B) D=( ,2 ) (2, ) (C) D= ( 2, ) (D) D=(2, ) (E) none of the above 1 2. According to the Center for Disease Control...

Question 1 [4 points} Please submit a filex'pietureXsean of your work for full marks in the question. Remember to have a clear therefore statement. units and exact answers where applicable. lGiven...

For Part II question 1 please do question according to point 15 - ping -a -A -c count -f -s packetSize destination Text copy of file - Part II: 14 marks For this assignment you are assigned one of...

In this problem, you will use a linear approximation to approximate V493. Let an) = E The linear approximation of f(C) at w = 49 can be written in the form L(:L') = ma: + b' Compute m and b. c l |...

6. Consider the following retail situation offerred to students in MSU U-Shop. MSU has decided that all the students are entitled to get a 10 percent rebate irrespective of the minimum spend on all...

Pre-Calculus 12 Unit 6 Send-In Assignment On-Line Course SEND - IN ASSIGNMENT UNIT 6 TRIGONOMETRIC EQUATIONS & IDENTITIES Name: _________________________________________...

Use the definition of Avogadros number to find the mass of a helium atom.

Ex: Suppose an algorithm has a complexity function: T(n) = n*log(n) + 7*n + 3*n + 11 Q: Which asymptotic notations does T(n) belong to if g(n) = n? Q: Which asymptotic notations does T(n) belong to...

29. The best way to eliminate gas lines would be to ( LO7) a) impose government price ceilings. b) impose government price fl oors. c) allow the forces of supply and demand to function. d) put price...

applications of human respurces and policies

2. Start with a person you want to model. a. Use the five positions to investigate how this person positions himself in relation to others, i.e. how he uses the five positions in his interaction with...

1. Start with a leader that you want to model. a. What is the stated purpose of this person? b. What is the vision of this person? c. How does he seek to achieve his purpose and vision? d. What does...

2. Now change the performance so that you play out the dream in your inner the-atre. Apply colours to the images you envision. Give some pictures a stronger colour than others and vice versa. Also...