Trigonometric Functions
Parametric Equations
Family of Functions
Limits and Derivatives
Modeling with Functions
100
What is the conversion for Degrees to Radians?
degree x π/180
100
What is the equation for the Law of Cosine? Law of Sine?
Cosine- c^2=a^2+b^2-2abCos(C) Sine - a/sina=b/sinb=c/sinc
100
What is the End Behavior for the graph of 2x^2+3x-3
+, up, Positive
100
Find: Lim (x^2-2x-8)/(x^2-4) x->-2
3/2
100
What is the equation for the Volume of a cone?
V=1/3 〖πr〗^2 h
200
What is the equation for Sin (A + B)?
Sin(A+B) =Sin(A)Cos(B)+Sin(B)Cos(A)
200
A plane takes off at 200 mph at 48° angle. What is its [Direction, Magnitude] at 3 hours? DM is this the correct format for the answer? If not, what is the format?
[48°, 600 miles] 200mph x 3 hours = 600 miles [Magnitude, Direction] [600 miles, 48°]
200
Complete the Square x^2+6x-7
x=1 x=-7
200
Find: Lim (2x+5)/(x-2) x->2
DNE
200
A rectangular boat is 7 times as wide as it is long. Find a function that models its area in terms of its width (w).
A(w)=7w^2
300
The sine, cosine, tangent chart What are the values of Sine, Cosine, and Tangent, for 0⁰, 30⁰, 45⁰, 60⁰, and 90⁰?
The sine, cosine, tangent chart
300
What are the coordinates of a graphed triangle with a horizontal component of 6 and vertical component of 8 with an original coordinate of (2,0)?
(2,0) (8,0) (8,8)
300
Convert to Vertex Form Y=5x^2-40x+67
Y=5(x-4)^2-13
300
Find: Lim (4x-5x^2+3)/(1/x) x→∞
+∞
300
A rectangle has an area of 25 meters squared , find a function that models its perimeter P in terms of width X of one of its sides?
2x+2(25m^2 )/x= P(x)
400
Solve -Cos²θ = 2Sin²θ – 5, for Sinθ
2=SinѲ
400
What is the equations of an elliptical with a center at the origin. The y-intercepts are (0 , -7) (0 , 7) and x-intercepts of (3, 0) (-3, 0)?
X₁= 3Cos(T) Y₁=7Sin(T)
400
Graph the Piecewise Function f(x){█(x^2,if x<2@6,if x=2@10-x,if x>2 and x ≤6)┤
the graph will shown
400
Find the derivative and evaluate at x = 2, -4, 0, π, for x^2+3x-4 f(x)=ax^n f^' (x)=anx^(n-1) f(x)=x^2+3x-4
7=f(2) -5=f(-4) 3=f(0) 2π+3=f(π)
400
What are the dimensions of the field of the largest area he can fence? (Rectangle is 4000ft fence)
1,000ft x 2,000ft
500
What is 120⁰, 270⁰, 330⁰, in Radians and Coordinates, according to Unit Circle?
120°- (-1/2,√2/2)=120π/180=2π/3 270°-(0,1)= 270π/180=3π/2 330°-(√3/2,-1/2)=330π/180=11π/6
500
Convert X₁ = 2t + 1 and Y₁ = 5t – 3 to rectangular coordinates by eliminating the parameter?
Y=5/2 x-5.5
500
Solve using synthetic division (3x^3+4x^2-2x-1)/(x+4)
3x^2-8x=30-121/(x+4)
500
Find the derivative and evaluate at x = 3, -4, 1, π, for -1/x^2
2/27=f'(3) 2/π^3 =f^' (π) 1/(-32)=f'(-4) 2=f'(1)
500
Find the area in terms of one side. (Rectangle is 3000 ft) x=w
3000x-2x^2=A(x)
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