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QUESTION 2 (a) The parametric equations are given by - 31-r. where 1 # 0. 41 dy in terms of 1. Find dx i) ii) Find the slope of the parametric curve at 1 =-1. ii) Hence, determine the equation of a tangent line at 1 =-1. (b) Variables x and y are related by the equation y=-3+" Given uat x and y are functions in terms of t and dx = 7. Find- di when x=1. di The area of a square is increasing at the rate of 28cm's". Find the increasing rate of the length of a side, x when the area of the square is 49 cm'. (c)

QUESTION 2 (a) The parametric equations are given by - 31-r. where 1 # 0. 41 dy in terms of 1. Find dx i) ii) Find the slope of the parametric curve at 1 =-1. ii) Hence, determine the equation of a tangent line at 1 =-1. (b) Variables x and y are related by the equation y=-3+" Given uat x and y are functions in terms of t and dx = 7. Find- di when x=1. di The area of a square is increasing at the rate of 28cm's". Find the increasing rate of the length of a side, x when the area of the square is 49 cm'. (c)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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QUESTION 2 (a) The parametric equations are given by V=31-r, +t 41 where t# 0. i) Find in terms of t. dx ii) Find the slope of the parametric curve at 1 =-1. iii) Hence, determine the equation of a tangent line at 1 =-1. Variables x and y are related by the equation y=-3+ 4x Given uuat x and y are (b) dx functions in terms of 1 and = 7. Find di when x=1. dt The area of a square is increasing at the rate of 28cm's". Find the increasing rate of the length of a side, x when the area of the square is 49cm². (c)
Transcribed Image Text:QUESTION 2 (a) The parametric equations are given by V=31-r, +t 41 where t# 0. i) Find in terms of t. dx ii) Find the slope of the parametric curve at 1 =-1. iii) Hence, determine the equation of a tangent line at 1 =-1. Variables x and y are related by the equation y=-3+ 4x Given uuat x and y are (b) dx functions in terms of 1 and = 7. Find di when x=1. dt The area of a square is increasing at the rate of 28cm's". Find the increasing rate of the length of a side, x when the area of the square is 49cm². (c)
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