The vector equation of two lines , and 4 are 1+x 2- -3+2 and 4 a-y= Given that/, and /, intersect at the point P, find (6) the value of a. the coordinates of the point P. the parametric equation of the plane ×, containing lines /, and I,, in the form r=a+ b + µc . the Cartesian equation of the plane =, containing the point P, A(2,3-1) and B(1,-1,1). (ii) (iii) (iv)

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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Answer Q7(i), (ii), (iii) & (iv)

6.
dy
Find
given that
dr
(a)
sin x
(i)
y = In
I+ cos x
v-(Sx' +1)
(ii)
(b) Given the functions f(x) =
(i)
Find the monotonicity of f, showing clearly its variation table.
(ii)
Sketch the graph of y = s (x). sltowing clearly all its asymptotes and the behavior of the curve
as it approaches its asymptotes.
7.
The vector equation of two lines /, and 4 are
1+x_2-y
4:
2
-3+z
and
4
3
x-I
z+3
= a-y=
2
Given that/, and I, intersect at the point P, find
(i)
the value of a.
the coordinates of the point P.
the parametric equation of the plane x, containing lines /, and ,, in the formr=a+ib+ uc.
(ii)
(iii)
(iv)
the Cartesian equation of the plane , containing the point P, A(2,3-1) and B(1,-1,1).
Transcribed Image Text:6. dy Find given that dr (a) sin x (i) y = In I+ cos x v-(Sx' +1) (ii) (b) Given the functions f(x) = (i) Find the monotonicity of f, showing clearly its variation table. (ii) Sketch the graph of y = s (x). sltowing clearly all its asymptotes and the behavior of the curve as it approaches its asymptotes. 7. The vector equation of two lines /, and 4 are 1+x_2-y 4: 2 -3+z and 4 3 x-I z+3 = a-y= 2 Given that/, and I, intersect at the point P, find (i) the value of a. the coordinates of the point P. the parametric equation of the plane x, containing lines /, and ,, in the formr=a+ib+ uc. (ii) (iii) (iv) the Cartesian equation of the plane , containing the point P, A(2,3-1) and B(1,-1,1).
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