Question 6 Line ₁ has equation y = 3x + 8 Line 2 has equation y = -7 - 2x Lines ₁ and 2 intersect at point C. a) Find the coordinates of point C. You must show your working. The curve with equation y = ax² - 14x + b passes through point D (2,-11). The tangent to the curve at point D is parallel to line 1₂. b) Find the value of a and the value of b.

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 6
Line ₁ has equation y = 3x + 8
Line 2 has equation y = -7 - 2x
Lines ₁ and 12 intersect at point C.
a) Find the coordinates of point C. You must show your working.
The curve with equation y = ax² - 14x + b passes through point D (2, -11).
The tangent to the curve at point D is parallel to line 12.
b) Find the value of a and the value of b.
Transcribed Image Text:Question 6 Line ₁ has equation y = 3x + 8 Line 2 has equation y = -7 - 2x Lines ₁ and 12 intersect at point C. a) Find the coordinates of point C. You must show your working. The curve with equation y = ax² - 14x + b passes through point D (2, -11). The tangent to the curve at point D is parallel to line 12. b) Find the value of a and the value of b.
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