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Ms Shaws Math Class
Ms Shaws Math Class
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Solve quadratic equation by using perfect squares. 3x^2 -4x +1 =0.
Simplify expression sqrt4+ sqrt7 - sqrt4 - sqrt7. Advanced Factoring
Find remainder when polynomial is divided by x-1x-2x-3. Remainder is 1 when divided by x-1.
When x^2 -3x -1 = 0 find value of x + 1x using advanced Factoring techniques
Factor polynomial x^4 + 4x^2 +16. Advanced Factoring
Factor polynomial x^4 +7x^2 + 16. Advanced Factoring
Simplify expression 2 log 32 - log 53 + 3 log 2 + 12 log 25. Logarithms
When log_2 3= a and log_3 5= b express log_30 20 with a and b. Logarithms
Find value of x for log_x 16 = 2 and log_2 sqrt2 64 = x. Logarithms
Convert polar equation to rectangular equation r= 62 - 3 sin x.
Show that graph of r = 4 sin theta is a circle by converting from polar to rectangular equation
Make rotation of axis to eliminate xy term in x^2 +24xy + 8y^2 = 136. Conics
Make rotation of axis to eliminate xy term in 2x^2 + sqrt3 xy + y^2 + 5 sqrt3 x+5y = 52.
Find the limit as x approaches 0 cot x - 1x. L’Hopital’s Rule
When ellipse with foci 2 0 -20 passes through point 2 3 find lengths of major minor axis
Find equation of ellipse given foci 0 5 0 -5 and length of minor axis is 8.
Find center vertices foci given by ellipse 4x^2 + y^2 -8x +4y-4=0.
Find the foci and lengths of major and minor axis for ellipse x^225 + y^216 =1
Find equation of tangent line with slope = of parabola y^2 = -4x. Use formula y= mx +pm
Find equation of parabola axis of symmetry parallel to x-axis passes thru 0 -2 4 6 6-6.
Find equation of perpendicular bisector of line segment joining P-2 3 Q4 1.
Find equation of parabola with vertex at origin that passes through -4 2 opens left.
Find equation of line tangent to circle x^2 + y^2 = 10 at point 2 3.
Find all solutions of the fourth root of 8-1 + sqrt3i. De Moivre’s Theorem.
Find all solutions of the fourth root of -16. De Moivre’s Theorem. Complex roots
Find all solutions of cube root of i. De Moivre’s Theorem. Complex roots.
Use De Moivre’s Theorem to find power of complex number 1+ i^4. Standard form
Use De Moivre’s Theorem to find power of complex number cos pi6 + i sin pi6^3. Standard form
How many ways can 5 men and 5 women be seated alternatively at a round table. Circular permutation
How many six-digit odd numbers can be formed when NO repetition is allowed. Counting Principle
Write complex number in trigonometric form z = 3 + 2i.
Label amplitude phase shift period for function y = 4 cosx + pi4.
Label amplitude phase shift period for function y = 2 sin x - pi3.
Solve equation cos 2x + 3 sin x +1 =0. State general solution
Solve equation sin3x - pi4 + cosx +pi3 =0 and state general solution.
Find the value of expression sin 80 - sin 40 - sin 20. Sum to Product Formula. Trigonometry
Derivation of Sine Rule. Show that asin A = 2r or sin A = a2r.
Solve equation tan x + tan 2x =0 over interval 0 2pi.
Solve equation 2 cos x + sin 2x =0 over 0 2pi. Double Angle Formula
Find the value of cos sin^-1 - 45 cosarcsin - 45. Inverse Trig Function
Find the value of sincos^-1 23 sinarccos23. Inverse Trig Function
Find the value of sincos^-1 x sinarccosx. Inverse Trig Function
Solve for all values of x when 2 sin x +1 =0 over 0 360
When sin x + cos x = 12 find the value of sin x cos x.
Find the coefficient of x^5 in the binomial expansion of 2x-8^8
For 1 2 5 14 41 … find minimum value of n for which a_n has 3 digits positive integer sequence
Find sum of telescope series 11+ sqrt2 + 1sqrt2 + sqrt3 + ……+ 1sqrt99 + sqrt100
For sequence find sum of first 10 terms {1 11 111 1111 ……}
Find the first term and common difference for a_n = 3n +2. Arithmetic Sequence
Write a rule for the nth term for {2 6 12 20 …}. Arithmetic sequence