Algebra
The method first step in solving the following equation
|x + 1| > 4|2x - 3|
What is square both sides?
How do you differentiate a curve defined parametrically.
What is dy/dx = y'/x'?
The equivalent trigonometric expression to 1/cos2(x).
What is sec2(x)?
The value of the dot (scalar) product when two vectors are perpendicular. Also, write down the formula for finding the angle between two vectors.
What is zero, formula?
Whenever integrating what you think is a basic function, the thing you should check to make sure you did it correctly.
What is your formula sheet?
If I know that x - 3 is a factor of a polynomial, p(x), what can I plug ____ in for x and set it equal to ___.
What is p(3) = 0?
What two differentiation concepts do you need to differentiate (x^2)(y^3) = 1
What is implicit differentiation and the product rule?
The equivalent trigonometric expression to 5cosec(x).
What is 5/sin(x)?
Write down the formulas for the magnitude of a vector. A unit vector has a magnitude of __. How do you find a unit vector in the direction of b.
What is formula, 1, b/|b|?
The integral of e-7xdx. The way you could check to make sure you integrated correctly.
What is (-1/7)e-7x, differentiate?
If I wanted to integrate 1/[(3 + x)(x - 2)] dx, I would have to create _____?
What is partial fractions?
When differentiating the following, you must use _____.
y = (x2 + 3x - 7)/cos(x)
What is the quotient rule?
If tanx = sinx/cosx, then cotx = __
What is cosx/sinx?
The way to divide (1 + i)/(2 - 5i). Simplify.
What is multiply by the complex conjugate of the denominator, answer?
Method for integrating the following (pretend they are being integrated)?
(x2)/(x3 + 5)
tan(x)
cos(x)/(5 + sinx)
What is special integral, u = denominator, answers?
Write out the partial fractions formula for:
(x2 + 2x)/((x + 1)(x - 5)2)
What is:
A + B/(x + 1) + C/(x -5)2 + D/(x - 5)
When expressing 5sinx + 2cosx in the form Rsin(x + a), state the formulas for finding R and a.
What is R = √(a^2 + b^2), a = tan-1(b/a)?
In the proper order the shape that the following makes. Pictures or words
|z - (2 + i)| = 2
arg(z - (1 + i)) = π/2
|z - i| < |z - (4 + i)|
What is circle, half line, perpendicular bisector?
The method used for integrating the following. Integrate the first 2.
xe4x
xcosx
x2sinx
What is integration by parts, answers?
Simplify 4(2 + 3x)-2 to be in a form in which you can use the binomial expansion formula. Also, the terms in the expansion up until x^3.
What is (1 + (3/2)x)-2, answer?
Derivative of tan-1(5x)?
Hint: Use formula sheet
What is 5/(25x2 + 1)?
When solving trigonometric equations we regularly use the ______ which is the way to change sin(6x) or cos(6x) in terms of 3x.
What are the double angle formulas?
The way to find the modulus and the argument of a complex number.
Find it for z = 3 - 4i and express the complex number is exponential form [z = reiΘ].
What is answer?
The integral of 1/(a2 + x2) with respect to x. Use the formula to integrate 5/(125 + 5x^2) with respect to x.
What is answer?