Integration by Parts calculus example.
video tutorial on Marginal Cost, Revenue and Profit calculus problem example.
Video tutorial on how to determine which variable represents the predator population, and which represents the prey population, how to determine if the predator or prey populations are effected by any other food source than the other species (carrying capacity), how to determine whether the system is one of cooperation, competition, or predator-prey, and how to solve the system of differential equations for equilibrium solutions, and then interpret those equilibrium solutions.
Video Tutorial: Learn how to express the repeating decimal as a ratio of integers. You'll change the repeating part of the decimal into a geometric series, then find the sum of the geometric series and use it to find a ratio of integers (fraction of whole numbers) that expresses the repeating decimal.
Implicit differentiation for partial derivatives of multivariable functions. Video presentation; Learn how to use implicit differentiation to find the partial derivatives of a multivariable function.
Increasing, decreasing and not monotonic sequences. Video presentation; Learn how to determine whether a sequence is increasing, decreasing, or not monotonic. We'll also talk about whether we can say that the sequence is bounded above and/or whether it&'s bounded below.
Video tutorial on decay problem.
Video tutorial on integral calculus.
Video Tutorial: Using Riemann sums to approximate the volume that lies above the given rectangular region defined by the given x-interval by the given y-interval, and below the given function. You'll divide the interval into rectangles and then find the coordinate points that define the upper right-hand corner of each of those rectangles. Then you&'ll evaluate the original function at each coordinate point, take the sum of those values, and multiply that sum by delta A, which is the area of one of the rectangles.
Differential Equation calculus example.
Video tutorial on how to find the Jacobian of the transformation given three equations for x, y and z, all defined in terms of three other variables, u, v and w. Use a 3x3 matrix.
Video on how to describe transformations of functions algebraically, including shifting up, shifting down, shifting left and right, reflecting about the x-axis, reflecting about the y-axis, and vertical stretching and shrinking.
Video tutorial on how to graph transformations of a function. We'll look at vertical shifts, reflections about the x and y axis, and vertical stretching and shrinking.
Video tutorial on how to find the integral of the product of a higher order sine function and higher order cosine function. In this particular example, we'll talk about the method for finding the integral when sine is even and cosine is odd.
Use this video to learn about Initial Value Problems.
Video tutorial on how to calculate the derivative of an inverse trig function. In this particular example, we'll calculate the derivative of arccos, the inverse cosine function.
Video tutorial on how to use the polar equation of a conic section to identify the conic as a parabola, an ellipse, or a hyperbola, find eccentricity and the equation of the directrix, and the sketch the conic.
Video tutorial on how to find the polar equation of a hyperbola with focus at the origin, given only its eccentricity and the equation of its directrix.
Video tutorial on how to use Simpson's rule to find surface area of of a solid of revolution.
Video tutorial on how to use Simpson's rule to find the arc length of a parametric curve.
Video tutorial on trapezoidal rule.