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Differential equations with initial conditions
For the following description of a cell, write a differential equation, find and graph the solution, and indicate whether the solution makes sense for all time.
A cell starts at volume 400 µm³/s, and gains volume at a rate of 3 µm³/s.
The derivative by using the differentiation rules
A hollow cone is cut by a plane parallel to the base and the upper portion is removed. if the volume of the frustum obtained is 26/27 of volume of the cone. find at what height above the base the section is made, if height of the cone is 30cm
Evaluate the equations of the tangent lines to the graphs of f and g at the critical number found. Graph the tangent lines. What is the relationship between the lines?
The slope of the tangent line.
Evaluate the matrix of transformation
Evaluate the point on the graph that is closest to given point - Find the point on the graph of the function that is given to closest point.
The number of intermediate fields which are normal extensions.
The exact value of the indicated trigonometric function.
The following pairs of functions, graph each one together in Desmos, show on your graph and find the area between them bounded by the given values of x.
Trigonometric identities to find length of the guy wire.
Half angle formula to find the exact value.
Finding the side lengths of the given triangle - Evaluate the vertices of the triangle such that its area is a minimum.
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