Plug the value(s) obtained in the previous step back into the original function. This will give you y=c for some constant "c." This is the equation of the horizontal tangent line. Plug x=-sqrt(3) and x=sqrt(3) back into the function y=x^3 – 9x to get y= 10.3923 and y= -...
Where does the line x=2t+1, y=3t-2, z=-t+3 intersect the sphere (x-1)^2+(y+1)^2+(z-2)^2=2? Determine the area common to the two parabolas y^2 = a - x and y^2 = a - ax. Take a > 0. Find the class boundaries, midpoint...
Determine the x value of the point on the function where you want the tangent line located. Insert this value into the derivative wherever x occurs. In the example, if you wanted to find the tangent to the function at the point with x = 3, you would write y'(3) = 12(3^2) + 2...
{eq}\mathrm{adj} = 21 {/eq} We want to determine how tall the flagpole is and we can...
This chart is based on the TV standard where the horizontal to vertical ratio is 4:3. Your CMOS imager may not have this ratio. Just make sure the diagonal of the imager matches the diagonal of the lens. You might be asked, “Is this a ¼ inch sensor?” This equates to a 4mm ...
Determine the hand of the cutter by looking at the face of the cutter when mounted on the spindle. A right-hand cutter must rotate counterclockwise; a left-hand cutter must rotate clockwise. The right-hand helix is shown by the flutes leading to the right; a left-hand helix is shown by...
How do you find the rate of change using a graph? First, examine the points and estimate the y-values for each interval. Then apply the formula to calculate the rate of change. How do you determine the rate of change? The rate of change is determined by calculating the differences betwee...
13.412 is the unit rise in inches per foot of our example roof run. By "run" we mean the level or horizontal distance covered by the roof. Now find the closest number to this on the framing square top row and read the inches just above. In our photo you'll see that 13. 42 is ...
Researchers can also study deeds and sales records and interview local residents to determine the correct place names for maps of previously unmapped areas. This is a satellite-based map of China. Image courtesy NASA Today's technology also makes it possible for cartographers to make detailed ...
Once you ferret out the circle's center point coordinates, you can then determine the circle's radius,r. In the equation, you may not seer2{r}^{2}r2, but a number, the square root of which is the actual radius. With luck, the squaredrvalue will be a whole number, but you can ...