3/10*h or 0.3*h
H
60 km/h
You can easily derive it from formula for the derivative of a power, if you remember that the cubic root of x is equal to x1/3. This question asks for the proof of the derivative, not the derivative itself. Using the definition of derivative, lim f(x) as h approaches 0 where f(x) = (f(a+h)-f(a))/h, we get the following: [(a+h)1/3 - a1/3]/h Complete the cube with (a2 + ab + b2) Multiply by [(a+h)2/3 + (a+h)1/3 × a1/3 + a2/3] / [(a+h)2/3 + (a+h)1/3 × a1/3 + a2/3] This completes the cube in the numerator, resulting in the following: (a + h - a) / (h × [(a+h)2/3 + (a+h)1/3 × a1/3 + a2/3]) h / (h × [(a+h)2/3 + (a+h)1/3 × a1/3 + a2/3]) h cancels 1 / [(a+h)2/3 + (a+h)1/3 × a1/3 + a2/3] Now that we have a function that is continuous for all h, we can evaluate the limit by plugging in 0 for h. This gives 1/[a2/3 + a1/3 × a1/3 + a2/3] Simplify a1/3 × a1/3 1/[a2/3 + a2/3 + a2/3] (1/3)a2/3 or (1/3)a-2/3 This agrees with the Power Rule.
1/3 x 40 h/1 = 40 h/3 = 13.333... h
To find the volume of a cone, you use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone. Calculate the volume of each cone by plugging in the given values for r and h into the formula. Round your final answers to the nearest tenth.
The answer is 1 and 1/3 2/5 x 10/3 = 4/3 = 1 and 1/3
H
1/3 * B * h In this formula you find the area of the base, times it by the height, then divide that answer by 3. (also can be 1/3 * l * w * h - they are the same thing)
3+h
-1
60 km/h
(2h-3)(h+1) = 0 h = 3/2 or h = -1
v=1/3 A x H = 1/3 (1/2 b x h) x H For a regular pyramid, find the volume by multiplying the base area by the height by 1/3. The base area is 1/2 of the (base times the apex height) of the base
Since there are 2 outcomes for a coin toss, and you will toss the coin 3 times the number of outcomes are 23 or 8. Since H-T-H can occur only 1 way, the probability of the H-T-H sequence is 1/8.
15 goes into 45 three times
0
3 divide h