maths
dx/dy or dy/dx ?
maths
f!(x)-? maybe f'(x)
Algebra 2
1. Let sqrt3=m/n where m,n-relatively primes. 3n^2=m^2 ==>m multiple of 3, m=3k 3n^2=9k^2 n^2=3k^2 ==>n multiple of 3.
Algebra 2
1. P(x)=(x-2)(x+2)^3 3 times 2. P(x)=(x-1)(x+1)^4 4 times 3. x^3-5x^2+4x+5=(x^2-3x-2)(x-c)+1=>5=2c+1 c=2
Algebra 2
1. P(-sqrt2)=-4sqrt2+4-4sqrt2+4 No 2. P(i)=-i-1+i+1-i-1+i+1=0 Yes 3. P(-2i)=8i-4-8i+4=0 Yes
Math
Pascal triangle: 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1<- (2x+5y)^6=(2x)^6+6(2x)^5(5y)+15(2x)^4(5y)^2+20(2x)^3(5y)^3+15(2x)^2(5y)^4+6(2x)(5y)^5+ (5y)^6
Calculus
This is right
CALCULUS HELP PLEASE!!
The answer is wrong because function x^(-2)>0 on [-2,2] except x=0 =>integral>0 This is Improper integral which is divergent. x^(-1)-->infinity if x-->0
Calculus 3
The airplane velocity should be (20,-a) where a=sqrt(400^2-20^2)
maths
f'(x)=e^3x(3cos(2x)-2sin(2x))=0 3cos(2x)=2sin(2x) divide by 2cos(2x) tan(2x)=1.5 x=0.4914(rad) f(0.2618)=1.90 f(0.4914)=2.42 <--- f(0.7854)=0
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