__Category__: Differential Equations, Integral Calculus, Analytic Geometry, Algebra

"Published in Vacaville, California, USA"

Find the equation of a curve having the given slope that passes through the indicated point:
__Solution__:
The
slope of a curve is equal to the first derivative of a curve with
respect to x. In this case, y' = dy/dx. Let's consider the given slope
of a curve
Multiply both sides of the equation by dx, we have
Integrate on both sides of the equation, we have
In
order to get the value of arbitrary constant, substitute the value of
the given point which is P(2, -5) to the above equation, we have
Therefore, the equation of a curve is
__Category__: Differential Equations, Integral Calculus, Analytic Geometry, Algebra

"Published in Vacaville, California, USA"

Find the equation of a curve having the given slope that passes through the indicated point:
__Solution__:
The
slope of a curve is equal to the first derivative of a curve with
respect to x. In this case, y' = dy/dx. Let's consider the given slope
of a curve
Multiply both sides of the equation by dx, we have
Integrate on both sides of the equation, we have
In
order to get the value of arbitrary constant, substitute the value of
the given point which is P(1, 1) to the above equation, we have
Therefore, the equation of a curve is
__Category__: Differential Equations, Integral Calculus, Analytic Geometry, Algebra

"Published in Vacaville, California, USA"

Find the equation of a curve having the given slope that passes through the indicated point:
__Solution__:
The
slope of a curve is equal to the first derivative of a curve with
respect to x. In this case, y' = dy/dx. Let's consider the given slope
of a curve
Multiply both sides of the equation by dx, we have
Integrate on both sides of the equation, we have
In
order to get the value of arbitrary constant, substitute the value of
the given point which is P(3, -6) to the above equation, we have
Therefore, the equation of a curve is