SOLUTION: a) Find all the sixth roots of (12+5i). b) Differentiate log(3x + 7) w.r.t. Question 2: (5 Marks) a) Find the equation of the line joining the po

Question 277702: a) Find all the sixth roots of (12+5i).
b) Differentiate log(3x + 7) w.r.t.
Question 2: (5 Marks)
a) Find the equation of the line joining the points
(─7, 6, ─ 3) and (7, ─ 6, 3).
b) Find the equation of the sphere, which contains the circle
x2 + y2 + z2 = 18 , 3x + 3y + 3z = 11 and passes through the origin.
Question 3: (5 Marks)
a) Find the area bounded by the x-axis, the curve y = e2x and the ordinates x = 2 and x = 3. b) Prove that tan-1 x < x for all x > 0
(Using mean value theorem on {o,x} for tan-1x)
Question 4: (5 Marks)
a) Using Simpson�s rule to evaluate the following, taking n = 4

b) Find the area of the region included between the circle:
x2 + y2 + 2 x + 10y + 27 = 0
and the parabola
y2 + 10y � x + 23 = 0
Question 5:

(a) Evaluate the following: (3 Marks)
(i) dx
(ii)
(iii) dx

(b) Prove the following inequalities: (2 Marks)
(i) for all positive x.
(ii) for all x > 0.

Answer by amit.lathiya(2) (Show Source): You can put this solution on YOUR website!
Differentiate log(3x + 7) w.r.t.
RELATED QUESTIONS
Find all the sixth roots of... (answered by CharlesG2,JBarnum)

Find all the sixth roots of... (answered by CharlesG2)

Find all the sixth roots of... (answered by robertb)

(a) Find the sixth roots of 1. (b) Find the fifth roots of... (answered by Boreal,greenestamps)

let the roots of the equation x^3 -2x^2 -3x-7=0 be r, s, and t. find the equation whose... (answered by math_tutor2020)

Suppose r and s are the roots of the quadratic equation 3x^2 + 2x - 8 = 0. Find the... (answered by ikleyn)

two roots of a polynomial equation are 3-5i and square root of 2. a. find two additional (answered by stanbon)

(1) x+3y=6 (2) x=2 (3) y=-1 (4)Determine wether graphs of pairs of line are parallel... (answered by Fombitz)

Find all values of w satisfying the equation: 3w/w-2 = -27/w^2 - 8w +... (answered by fractalier)