Math Answers

Solve d^2y/dx^2-2tanx dy/dx +5y =e^x second.

Solve dy/dx +xy=(y^2)(e^(x^2/2))(sinx).

Free range eggs are produced on a farm. The weights of eggs are found to be normally distributed with a mean of 55g and a standard deviation of 1g. Using the empirical rule and no calculations, determine whether it is likely a randomly chosen egg from the farm would have the following weight.



a. 51g
b. 53g
c. 56g

George tallies up the transactions in his check register and comes up with a total balance of $221.57, but his bank statement says that his balance is $203.73. Which of the following are still outstanding?

Find the center, vertices, and foci of the ellipse with equation 2x2 + 7y2 = 14.

The orthogonal trajectories of all the parabolas with vertices at the origin and foci on the x-axis is x^2+2y^2=c^2 true false.

i) The initial value problem dy/dx = x^2+y^2, y(0)= has a unique solution in some interval of the form - h<x<h.

Which of the following statements are true or false? Give reasons for your answers. (2 × 5 =10)
i) The function R R →:f , given by | x1x|n)x(f 2 ++= l is neither even nor odd. ii) ∫ − = 0 x 22 xsindt)tsin( dx d .
iii) The area enclosed by the x-axis and the curve x cosy = over the interval ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ π π − 2 3 , 2
is 0. iv) If f and g are functions over R such that g f + is continuous, then f must be continuous. v) 0 2yx = +− is a tangent to the curve 2 3 ) 2yx()yx( +−=+ at ) 1,1( − .

a recipe for pizza calls for 3 teaspoons of salt for every 4 cups of flour .how many teaspoons of salt will be needed for 28 cups of flour

Trace the following curves
1)y=x^2/1-x^2
2)y=x+1/x