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Exam (elaborations)

Mathnasium Review.

Exam of 6 pages for the course SRU ELEC340 F at SRU ELEC340 F (Mathnasium Review.)

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  • June 21, 2024
  • 6
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers
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lydiaomutho
Mathnasium Review
A triangle formed by three points on a circle with the hypotenuse being the diameter will
always be a... - ANS-right triangle

A u B vs A n B - ANS-A u B includes everything from both sets
A n B only includes overlap of the two

AOS of a parabola - ANS--b/2a

area of a circle - ANS-πr²

area of a polygon - ANS-A=½aP, where a is the apothem and P is the perimeter.

area of a trapezoid - ANS-1/2(b1+b2)h

Area of a triangle given SAS - ANS-A=1/2bc(sinA)

area of a triangle given SSS - ANS-s= (a+b+c)/2

A= Root[s(s-a)(s-b)(s-c)]

Arithmatic formula - ANS-an=a1+(n-1)d

Circumference of a circle - ANS-2πr

Complementary angles - ANS-add to 90 degrees

Difference of cubes - ANS-a³ - b³ = (a - b)(a² + ab + b²)

Directly proportional - ANS-both go the same way

domain - ANS-x values

Equation for compound interest - ANS-A=P(1+r/n)^nt

equation of a circle - ANS-(x-h)²+(y-k)²=r²

equation of an ellipse - ANS-(x-h)^2/a^2 + (y-k)^2/b^2 = 1

, Even vs odd symmetrical functions - ANS-even: symmetric over the y axis
odd: symmetric over the line y=x

Faces + vertices - ANS-= edges +2

geometric formula - ANS-an=a1(r)^n-1

geometric sum - ANS-(a1(1-r^n))/(1-r)

how and what combinations - ANS-does not care about order
n!/r!(n-r)!
n=number of objects
r=number of desired objects

How and what permutations - ANS-cares about order
n!/(n-r)!
n=number of objects
r=number of desired objects

how do you add matrices? - ANS-Simply add the corresponding places (if they are
different sizes then it is undefined)

How do you add vectors together? - ANS-<x,y>+<a,b>=<x+a,y+b>

how do you calculate standard deviation? - ANS-calculate mean, find difference
between mean and each number, square each difference, find mean of new set of
numbers, square root that mean

How do you draw a sign diagram? - ANS-Mark all x-intercepts, and mark in each
section if it is in the positive or negative section. Dotted line for asymptotes

How do you find a single term in a binomial expansion - ANS-(nCr)(a)^n-r (b)^r

r = the term number minus 1

How do you find an inverse function? - ANS-switch x and y and solve for y

How do you find interquartile range? - ANS-median, then median of the two sides.
Subtract Q1 from Q3

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