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Suppose that x = x (t ) and y = y (t ) and differentiate the following equation with respect to t.
Solution x3 y6 + e1- x - cos (5 y ) = y 2
Thus, just differentiate as normal & add on proper derivative at each step. Note that the first term will be a product rule as both x and y is functions of t.
3x2 x′y6 + 6x3 y5 y′ - x′e1- x + 5 y′ sin (5 y) = 2 yy′
There actually isn't all that much to this problem. As there are two derivatives in the problem we won't be bothering to solve out for one of them.
At this point there doesn't appear be any real purpose for doing this kind of problem,
Standardization of Variables - Before we use the general distribution curve to determine probabilities of the continuous variables, we require standardizing the original units
y(x) = x -3/2 is a solution to 4x 2 y′′ + 12xy′ + 3y = 0 , y (4) = 1/8 , and y'(4) = -3/64 Solution : As we noticed in previous illustration the function is a solution an
How many types of Integer Operatiions explain? Adding Integers The rules for adding integers are: 1. A positive number plus a positive number equals the sum of the two pos
Every point (x,y) on the curve y=log2 3x is transferred to a new point by the following translation (x',y')=(x+m,y+n), where m and n are integers. The set of (x',y') form the curve
Kyra receives a 5% commission on every car she sells. She received a $1,325 commission on the last car she sold. What was the cost of the car? Use the proportion part/whole =
L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12 R.H.S =c
A researcher is investigating the effectiveness of a new medication for lowering blood pressure for individuals with systolic pressure greater than 140. For this population, systol
where will we use least cost method
to use newspaper and report on share and dividend
Although the set of integers caters to a larger audience, it is inadequate. This inadequacy has led to the formulation of Rational numbers. Rational numbers are of
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