Construct a table and graph the equation by plotting points: y=12x+2y=12x+2. Show Solution Try ItUse Intercepts to Graph EquationsThe intercepts of a graph are points where the graph crosses the axes. The x-intercept is the point where the graph crosses the x-axis. At this point, the...
The volume is78π5. Try It Use the method of slicing to find the volume of the solid of revolution formed by revolving the region between the graph of the functionf(x)=1xf(x)=1xand thex-axisx-axisover the interval[1,2][1,2]around thex-axis.x-axis.See the following figure. ...
Volume of a Solid of Revolution: Rotation about x = 2 Work Conical Tank Numeric Integration: Trapezoid Rule Trig Substitution Sequence of Constants Trig Substitution Partial Sums for a Series of Constants Integration by Partial Fractions Volume by Slicing ...
Lesson 3: The Fundamental Theorem of Calculus Lesson 4: Integrals and Antiderivatives Lesson 5: Integration by Substitution Lesson 6: The Definite Integral Unit – 6 Applications of Integrals Lesson 1: Finding the Area Under and Between Curves Lesson 2: Volume by Discs (Slicing) Lesson 3: Volum...
Measurements via Slicing 6.1 Measuring Area via Slicing 6.2 Measuring Volume via Slicing 6.3 Density and Mass 6.4 Accumulation and Rates 6.5 Arc Length 7. Double Integrals 7.1 Measuring Area and Volume 7.2 Gauss-Green Formula 7.3 Changing Order of Iterated Integrals 8. Integration Techniques 8.1. ...
6.3 Volume by slicing 6.4 Volume by shells 6.5 Length of curves 6.6 Surface area 6.7 Physical applications 6.8 Logarithmic and exponential functions revisited 6.9 Exponential models 6.10 Hyperbolic functions 7. Integration Techniques 7.1 Basic approaches ...
integral from right to left of √1+(f'(x))^2 dx Force applied to a spring kx work to stretch a spring integral from b to a of kx dx to pump liquid from a tank integral from bottom to top of liquid of (volume of a slice)(weight density)(x) ...
Volume of a Solid of Revolution: Disks and WashersTuesday 17-Mar 206.3 Volume of a Solid of Revolution: Cylindrical ShellsThursday 19-Mar 216.4 Volume of a Solid: Slicing MethodTuesday 24-Mar 226.5 Arc Length & 6.6 WorkThursday 26-Mar 23 Review Tuesday 31-Mar 24 Thursday 2-Apr 258.1 ...
A.P.CALCULUS BC FORMULA BOOKLET GRAPHING CALCULATORS Each student will be expected to bring to the examination a graphing calculator on which the student can:1.produce the graph of a function within an arbitrary viewing window;2.find the zeros of a function;3.compute the derivative of a ...
The disk method is used to find the volume of a solid of revolution by adding up the volume of infinitely many thin cylinders that are obtained by slicing the solid perpendicular on the axis of rotation. Therefore, the formula for the volume of the solid is ...