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Index8()    (Type this onto the home screen entry line of your calculator)

 

1. A & B vectors
   1. ||A|| Magnitude
   2. ||B|| Magnitude
   3. A – B
   4. A – B Magnitude
   5. A + B
   6. A + B Magnitude
   7. A + B + C
   8. A x B Cross Product
   9. B x A Cross Product
      1. A * B Dot Product
      2. B – A
      3. n * A
      4. n * A + n * B
      5. Area of parallelogram
      6. Component of A direction of B
      7. Cos( A & B)
      8. P & Q Points
      9. Projection of A on B
      10. Projection of B on A
      11. Unit vector A
      12. Unit vector B
2. Acceleration
3. Area of a Parallelogram
4. Chain Rule
   1. dy/dx = f’[g(x)] * g’(x)
   2. dy/dx = f’(u) * u’

1) (5x²+7)^5

2) sin, cos, tan (5x)

1. cos(a*x) integrate
2. cos( A & B)
3. Cross Product
4. Curl
   1. Instructions
   2. Curl definition
   3. Do Curl Problem
      1. PQR
         1. Conservative?
         2. Divergence?
         3. Compute Curl at Point
         4. Compute Divergence at Point
         5. MNP
            1. Conservative?
            2. Divergence?
            3. Compute Curl at Point
            4. Compute Divergence at Point
5. Definite Integral
   1. b

= ∫ [ f(x) ]dx

a

A.         Derivatives/Algebra (step by step)

1. Match your Problem

1)          √(x), 3√(x), 5/√(x), 5/x

2)          5/8x, 5/x², (5x)², 5x²/8

3)          x(x+5), x^½, x^(-½)

4)          (x²-4)/(x+2), (x²-4)/(x-2)

5)          (5x²+7)^5, √(5x²+7), (5x²+7)½

6)         ³√ (5x²+7), (5x²+7)¹/³

7)         sin, cos, tan

1. Difference Quotient
2. Divergence of a Vector Field
3.                Partial Derivatives in (x,y,z)
4. Vector Field (M,N,P)
5. Compute at a Point?
   1. Dot Product
   2. e^(x) Integral
   3. Equation of a line y = mx+b
   4. Graph by Hand
      1. Concavity
      2. Critical Points
      3. Crosses x axis
      4. Inflection Point
      5. Intervals Incr/decr
      6. Local Max & Min
      7. Gradient
      8. Implicit Differentiation
         1. Example: y³+y²-5y-x²  = -4

1. Integrals/Algebra/Rewrite
   1. n / √ (x), (x²+n)^ ², (x³+n) / x²
   2. ³√ (x), n / x², n / ³√ (x)
   3. n / x*√ (x), 1 / x³
   4. Integrals, answer only
   5. Integration by parts

1.              ln(x), e^x, sin(x), cos(x)

1. Length of an Arc
2. Limits
   1. Instructions
   2. Definition
   3. Do Limit
   4. Line Integral
      1. f(x,y,z) = f[x(t), y(t), z(t)]
      2. Linear Equations
         1. 3 variables
         2. ax+by+cz+d=0
         3. ln(x) Natural log
         4. log(x) Log to base(a)
         5. Mass of a Spring or Wire
            1.  b

= ∫ [ ∂[(x(t),y(t),z(t)] * √( [x’(t) ²+y’(t) ²+z’(t) ²] dt

a

1. P & Q Points
2. Vector between P&Q
3. Vector Length  ||PQ||
4. Unit Vector PQ / ||PQ||
5. Unit Vector Opposite Direction
6. Mid-Point  P+Q/2
7. Equation of a Sphere
8. New P&Q Points
9. Vectors A & B
   1. Parametric Equations
   2. Position Vectors
   3. Product Rule
   4. Projection of Vector A on B
   5. Quadratic Formula
   6. Quotient Rule

1)           ( f [x] ) / ( g [x] )

1. sin(a*x) integrate
2. Speed
3. Sphere

1)          Equation

2)          Radius

3)          Center or Mid Point

1. Surface Integral
2. Tangent line to a curve
3. Tangent plane to a surface
4. Trig d/dx, Identities
5. Trig & Half Angle Formulas & Identities

1)                        1)     1+cos(2x)2, 1-cos(2x) / 1+cos(2x)

2)     1-cos(2x)/2,      cos(2x), cos(x),      cos²(x)

4)          cot(x), csc(x), csc²(x), sec(x), sec²(x)

5)          sin(2x), sin(x), sin²(x)

6)          sin²(x) + cos²(x) = 1,         tan(x), tan²(x)

1. Unit Tangent Vector
2. Vectors
3. Velocity