MAC1105
Midterm with
complete
verified
solutions
i^2 = - answer -1
i^3= - answer -i
i^4= - answer 1
i^5= - answer i
Every fourth power of i (i^4 = , i^8 =, i^12 = ...) = -
answer 1
To simplify a power of i, write the expression as i to a
power of 4, multiplied by - answer i, i^2, or i^3
, Pythagorean Theorem - answer a^2+b^2=c^2
Quadratic formula - answer x=-b+-√(b^2-4ac)/2a
Only (x^2-1) separates into (x+1)(x-1), not... - answer
(x^2+1)
In the quadratic formula, if the discriminant (b^2-4ac) is
zero, there is only... - answer 1 real solution
In the quadratic formula, if the discriminant (b^2-4ac) is
positive, there are only... - answer 2 real solutions
In the quadratic formula, if the discriminant (b^2-4ac) is
negative, there are only... - answer 2 imaginary solutions
a^n/m = - answer ^5√(a^n)
a^3+b^3= - answer (a-b)(a^2+ab+b^2)
If |x| = k, then - answer x=k, x=-k
If |x| < k, then - answer -k<x<k
If |x| > k, then - answer x>k, x<-k
Midterm with
complete
verified
solutions
i^2 = - answer -1
i^3= - answer -i
i^4= - answer 1
i^5= - answer i
Every fourth power of i (i^4 = , i^8 =, i^12 = ...) = -
answer 1
To simplify a power of i, write the expression as i to a
power of 4, multiplied by - answer i, i^2, or i^3
, Pythagorean Theorem - answer a^2+b^2=c^2
Quadratic formula - answer x=-b+-√(b^2-4ac)/2a
Only (x^2-1) separates into (x+1)(x-1), not... - answer
(x^2+1)
In the quadratic formula, if the discriminant (b^2-4ac) is
zero, there is only... - answer 1 real solution
In the quadratic formula, if the discriminant (b^2-4ac) is
positive, there are only... - answer 2 real solutions
In the quadratic formula, if the discriminant (b^2-4ac) is
negative, there are only... - answer 2 imaginary solutions
a^n/m = - answer ^5√(a^n)
a^3+b^3= - answer (a-b)(a^2+ab+b^2)
If |x| = k, then - answer x=k, x=-k
If |x| < k, then - answer -k<x<k
If |x| > k, then - answer x>k, x<-k
