algebra
Let y= ax+b then 592=10a+b 968=18a+b and we find a and b.
Calculus
Area=2Pi(int from 0 to 1) y*sqrt(1+(y')^2)dx
Statistics
P=30C10(0.3)^10(0.7)^20
statistics
P=P(5)+P(6)+P(7)+P(8)+P(9)+P(10)+P(11)+ P(12) P(k)=12Ck(0.7)^k(0.3)^(12-k), k=5,6,...,12 You can also find the probability of the opposite event.
maths
Is it an answer on my question? 2cos^2(x)=1+cos(2x) ydy=(2+cos(2x))dx integrating y^2/2=2x+sin(2x)/2+C Find C 1/2=C y=sqrt(4x+sin(2x)+1)
Algebra II Please check-
Your answer is correct.
math
a)(x-6)/2=(y-5)/(-3)=(z-1)/7 b)The normal equation of the plane (2/sqrt(62))x-(3/sqrt(62))y+(7/sqrt(62))z- -4/sqrt(62)=0 62=2^2+(-3)^2+7^2 The distance=(2*4-3*(-2)+7*3-4)/sqrt(62)= sqrt(31/2)
Algebra 2
9(x^2-10x+25-25)-4y^2+189=0 9(x-5)^2-225-4y^2+189=0 9(x-5)^2-4y^2=36 (x-5)^2/2^2 - y^2/3^2=1 hyperbola
Calculus
Let C(x,y)-centroid. Obviously, x=pi/2 The area of the region=2 y=(1/2)(1/2)(integral from 0 to pi) sin^2(x)dx=pi/8
trigonometry
cos(2x)-1=-2sin^2(x) sin(2x)=2sin(x)cos(x) The equation is -2sin(x)(sin(x)+cos(x))=0 sin(x)=0 or sin(x)+cos(x)=0 sin(x)=0==>x=pi,2pi,3pi,4pi sin(x)+cos(x)=0, sin(x)=-c0s(x) tan(x)=-1==>x=3pi/4,7pi/4,11pi/4,15pi/4, 19pi/4 (E)
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