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Find the area S of the region bounded by the parabola y = 3x2, the tangent line to this parabola at (4, 48), and the x-axis.
with what initial velocity must an object be thrown upward (from ground level) to reach a maximum height of 200 meters when a(t)=-9.8 meters per second per second.
By imitating the Dirichlet constructions in Section 4.1 of Abbot, understanding Analysis, how construct a function on R that is differentiable at a single point?
find the area of the parcel of land that is , the area under the curve y=x^3+1 over the interval 0 and 1 where x and y are in hundreds of feet. If the land in the parcel is appraised at RM12 per square feet, what is the total value of the parcel? ..
the length of a rectangular tennis court is six feet more than twice the width. what is the width of the court if the lenght is 78 feet.
Use a worksheet to simulate the rolling of dice. Use VlookUP function to select the outcome for each die
Complex problems
The trough in the figure is to be made to the dimensions shown. Only the angle theta can be varied. What value of theta will maximize the trough's volume?
A gun is fired with angle of elevation 30°. What is the muzzle speed if the maximum height of the shell is 486 m? (Round the answer to the nearest whole number. g ≈ 9.8 m/s2)
The size of a certain bacteria culture doubles each hour. If the number of bacteria present initially is 3000, how many would be present at the end of 6 hours?
to determine the number of deer in a game preserve, a converationist catches 497 deer, tags them and lets them loose Later, 768 deer are caught 192 of them are tagged. How many deer are preserved.
Find coefficients An and Bn such that this is satisfied.
Describe the kernel of the linear transformation T:P1to r defined by T(p)= definite integral from 0 to 1 p(x)dx where P1 is the set of continuous linear function on [0,1], and R is the set of real numbers.
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