MATH QUIZ 2 Flashcards
If it is known that y=1 when x=1, what is the constant of integration of the following integral?
y(x)=|(e^2x-2x)dx
c=4-e^2
Evaluate:
lim(x csc 2x)
x->0
1/2
Find the area of the curve bounded by y=9-x^2 and the x-axis
36
What is the slope of the graph y=-x^2 at points (2,3)?
-4
Evaluate:
lim(pi-2x)tanx
x->pi/2
2
Find the maximum value of y given:
y=x^3-9x^2+15x-3
(1,4)
Find the maximum value of y given:
y=x+1/2
(-1, -2)
Evaluate:
|pi/2 0 5cos^6(x)sin^2(x)dx
0.30679
If y=arctan(In x) find the derivative of y at x= 1/e
1.36
The cost, C, of a product is a function of the quantity x of the product c(x)=x^2-40000x+50 Find the quantity for which the cost is minimum.
2000
Evaluate:
|2 0 |y 0 (x^2+3y^2)dxdy
40/3
Evaluate:
|4 2 x/(x+1)(x+2) dx
0.3
What is the point of inflection of the curve x-ln(x)?
no point of inflection
What is the general solution to the following differential equation:
d^2y/dx^2-5dy/dx+6y=0
c1e^3x + c1e^5x
Evaluate the determinant of the matrix:
82