maths
posted by muselitata
1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2
2. Find the derivative of 2^x^2+log2(2x^21)
3. Use DeMeoivre's theorem to simplify the following expressions
[(Cos pie/3 + isin pie/3)^5 (cos 2pie/3 isin 2pie/3)^4]/ (cos pie/6  isin pie/6)^2
4.Find the radius of the circle with center at C (2,5) if the line x+3y=9 is a tangent line.
5. Find the equation of the line of a circle if A(6,4) and B(2,7) are the end points of the diameter.
6.(a). Let f(x)=x^4x^22
(i) Find the relative maximum and minimum points of f(x).
(ii) Determine the intervals where the function is increasing.
(iii) Hence sketch the graph of the function.
(b) (i) sketch the graph of the function f(x)=x(2x_ for values of x in the interval 2<_x<_4.
(ii) Find the area bounded by the curve f(x)=x(2x) and the x axis between the lines x= 1 and x=2.
7.Solve the equation (1cos2A)/(3+cos2A)=1/7 for values of A in the interval 0<_ A <_180
8.(a) sketch the graph of f(x)= 2cos(x/2) for values of x in the interval 0<_ x <_ pie
(b) determine the general solution of 2cos(x/2)=0
9. The root of the equation 2x^24x+5=0 are a and b.
(i) Find the value of (1)/(a^2+1) + (1)/b^2+1
(ii) Find an equation whose roots are 2/a and 2/b.

Reiny
Wow,
If I do this for you, will you forfeit the grade you will get and let me have it?
classic case of homework dumping.
Respond to this Question
Similar Questions

Advance Math
Find solutions of the equation in the interval [0, 2pie} Cos(x+pie/3)+Cos(xpie/3)=1 I need to show work without calculator and be able to check in order for it to work Thanks for help 
Calculus
Determine the polar form of the complex number 3  2i. Express the angle theta in degrees, where 0 < theta < 360°, and round numerical entries in the answer to two decimal places. 326.31(cos 326.31° – isin 326.31°) 3.61(cos … 
Calculus
Given Z = 2(cos 148° + isin 148°) and W = 5(cos 11° + isin 11°), find and simplify z/w. 10(cos 137° – isin 137°) 0.4(cos 137° + isin 137°) 0.4(cos 137° – isin 137°) 10(cos 137° + isin 137°) 
maths
1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^21) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3 isin 2pie/3)^4]/ … 
Trigonometry
There are four complex fourth roots to the number 4−4√3i. These can be expressed in polar form as z1=r1(cosθ1+isinθ1) z2=r2(cosθ2+isinθ2) z3=r3(cosθ3+isinθ3) z4=r4(cosθ4+isinθ4), … 
Complex angles
There are four complex fourth roots to the number 4−43√i. These can be expressed in polar form as z1=r1(cosθ1+isinθ1) z2=r2(cosθ2+isinθ2) z3=r3(cosθ3+isinθ3) z4=r4(cosθ4+isinθ4), … 
Math
Find the quotient of the following expression: 7(cos 5pi/6 +isin 5pi/6) / 2(cos pi/2 +isin pi/2) I got 7/4+ 7 square root 3/4 i. Is this correct? 
Studying for Pre Cal exam
Find the fourth roots of − 1/2 + (square root)3/2 i Write the roots in trigonometric form. A  w 1=cos(35°)+isin(35°) w2 =cos(125°)+isin(125°) w3 =cos(215°)+isin(215°) w4 =cos(305°)+isin(305°) B  w1 =cos(40°)+isin(40°) … 
math
find the trigonometric form of 1212(square root)3i a. 24(cos2pi/3 + isin 2pi/3) b. 24(cos4pi/3 + isin 4pi/3) c. 12(cos 4pi/3 + isin 4pi/3) d. 12(cos12pi/3 + isin 2pi/3) e. 12(squareroot) 2 (cos4pi/3 + isin 4pi/3) 
trigonomentry hope steve or damon reiny can help
If x = cos@ + isin@ , y = cos€ + isin€ ' prove that (x  y)/(x + y) = itan((@  €))/2 step sir plz