The gradient at any point (x, y) on a particular curve with minimum turning poil (3.6) 5こメ gradient function dy 3x2 dx 5x - 2. %3D The line y = 3-11x - is a tangent to 4 4 (a) Find the equation of the curve that has the tangent line y = 3-11x y:5年-學 Sub 4. -9 -3 = 2dx -6- ちX %3D 4. - 2メ+C

Calculus: Early Transcendentals
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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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I am not sure how to do part b and c

t12
The gradient at any point (x, y) on a particular curve with minimum turning point (4, -9) is given by the
(3.6)
3.
X23
3(3)41
gradient function
dx
dy
3x2 5x
--2.
The line y
3-11x
is a tangent to the curve at point P.
4
4
(a) Find the equation of the curve that has the tangent line
杀-1x
onu Sub .-9). elis
3-11x
y:5年-
y =
4
22dx
2.
5S4)
らX
-83=
4.
-2(4)
%3D
4-2X+c.
Cころ
5x
-2x +3
(b) Determine the co-ordinates of P. Explain why there are more than one possible points P.
graidlet = -
suh xinto y.
t.
3-11x
intersect the curve?
4
(c) Other than P, where if at all, does the tangent line y =
Transcribed Image Text:t12 The gradient at any point (x, y) on a particular curve with minimum turning point (4, -9) is given by the (3.6) 3. X23 3(3)41 gradient function dx dy 3x2 5x --2. The line y 3-11x is a tangent to the curve at point P. 4 4 (a) Find the equation of the curve that has the tangent line 杀-1x onu Sub .-9). elis 3-11x y:5年- y = 4 22dx 2. 5S4) らX -83= 4. -2(4) %3D 4-2X+c. Cころ 5x -2x +3 (b) Determine the co-ordinates of P. Explain why there are more than one possible points P. graidlet = - suh xinto y. t. 3-11x intersect the curve? 4 (c) Other than P, where if at all, does the tangent line y =
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