Math 290 Exam Pack Bundle

5-frame - ANS1.Direction 2. Distance 3. Time 4. Origin 5. Axis absolute value - ANSThe distance a number is from zero on a number line. ALWAYS POSITIVE algebra - ANSA mathematical phrase involving at least one variable and sometimes numbers and operation symbols. algebraic equation - AN...

adjacent side - ANSthe side of a right triangle that touches the angle (not the hypotenuse) axis - ANSA horizontal or vertical line that establishes the relationship between data in a chart. axis of symmetry - ANSa line that divides a parabola in two equal halves and goes through the vertex...

Proper Subset - ANSA subset different from the original set Cardinality - ANSThe number of elements in a set: |S| Universal set - ANSincludes all possible choices for a given set's elements Compliment - ANSAll elements in the Universal, except those in a given set Set - ANSA collec...

A property of binomial coefficients - ANSC(n, k) + C(n, k+1) = C(n+1, k+1) Condition for C(n, k) + C(n, k+1) = C(n+1, k+1) - ANSn >= 0 Binomial Theorem - ANS(x + y)^n = sum( x^(n - k) y^k C(n, k) ) from k=0 to n Binomial Theorem conditions - ANSn >= 0 The division algorithm - ...

Definition of a sequence - ANSA function from N to R epsilon definition of a limit - ANSFor all ε in R>0, there exists N element of R such that for all n element of natural numbers, n > N => |an - L| < ε What does "the limit of an equals L" mean? - ANS"The limit of an equal...

Let A be a set and let P(A) denote the power set of A. If |P(AxA)| = 16 then |A|=4. - ANSFalse The statement P : for all integers "x", x>0 implies x^2 ≥ 0 is trivially true. - ANSTrue Let a,b,c,d,n be integers. If a+b congruent to c (mod n) and a+d congruent to c (mod n), then b is co...

Set - ANSa collection of objects {1,2,3,4} Element - ANSan object in a set 1 is an element of {1,2} Boxes - ANSthink of brackets as boxes. For example {1,2,{3,4}}. The set {3,4} is contained in the set and is an element. However, 3 and 4 separately are not elements. N - ANSset of all na...

Commutative Laws - ANS(1) A U B = B U A (2) A ∩ B = B ∩ A Associative Laws - ANS(1) A U (B U C) = (A U B) U C (2) A ∩ (B ∩ C) = (A ∩ B) ∩ C Distributive Laws - ANS(1) A U (B ∩ C) = (A U B) ∩ (C U A) (2) A ∩ (B U C) = (A ∩ B) U (C ∩ A) De Morgan's Laws - ANS(1) ...

A ________________ ______________ in the variables a1x1 + ... + anxn = b where each ai and b are real numbers. - ANSlinear equation A linear equation in the variables a1x1 + ... + anxn = b where each ai and b are real numbers. We call the real numbers a1, ..., an the _____________ of the ...