Find the absolute max and min of f(x)= e^-x sin(x) on the
interval [0, 2pi]
Find the absolute max and min of f(x)= (x^2) / (x^3 +1) when x
is greater or equal to 0
1.Evaluate the integral C where C is x=t^3 and y=t, 0 ≤ t ≤
1
2.Find the area of the surface with vectorial equation
r(u,v)=<u,u sinv, cu >, 0 ≤ u ≤ h, 0≤ v ≤ 2pi
E ::= E + T | T
T ::= T * F | F
F ::= num | (E) Num ::= 0 | 1 | 2 | 3 | 4 | 5 | . . . . . .
.
Question: 1
a. Show the Left-most derivation for the expression: 5 * 7 + 6 * (1
+ 2).
b. Show the Right-most derivation for the expression: 5 * 7 + 6
* (1 + 2).
1. Find absolute max and min of f(x,y)=
x^2- xy + y^2 +1 on the closed triangular plate in the first
quadrant x=0, y=4, y=x
2. Given position of a particle by π (t)= Cos2ti + 3
sin2ti, Find the
particle velocity and acceleration at t=0
Fit a quadratic function of the form ?(?)=?0+?1?+?2?2 f ( t ) =
c 0 + c 1 t + c 2 t 2 to the data points (0,−1) ( 0 , − 1 ) , (1,8)
( 1 , 8 ) , (2,−7) ( 2 , − 7 ) , (3,−6) ( 3 , − 6 ) , using least
squares.