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(a) Use the formula f(x)~f(a)+f'(a)(x-a)to approximate the value of the given function: tan(0.01)
(b) Differentiate the following functions with respect to the independent variable.
(i) f(x)=ln(1-x^3)
(ii) f(x)=ln(4-3x)
Find the arc length of the parametric curve x = 3 cos t, y = 3 sin t, z = 4t; 0
Chuck recives loans totaling $12000 from two banks. one bank charges 7.5% annual interest, and the second bank charges 6% annual interest. he paid $840 in total interest in one year. how much was loaned at each bank?
the width of a rectangle is 7 feet less than the length the area is 120 square feet find the length and the width of the rectangle.
A cylinder is inscribed in a right circular cone of height 4.5 and radius (at the base) equal to 7.5. What are the dimensions of such a cylinder which has maximum volume?
A soft-drink cup is in the shape of a right circular cone with capacity 250 ml. If the radius of the circular base is 5 cm, how deep is the cup?
Which is a binomial distribution approximated by a normal, Which is a binomial distribution that is approximated by a normal distribution?
In a game show, a contestant is given a choice of 3 curtains. Behind one curtain is a prize, but the other two curtains conceal a sign saying "Sorry, you lose!"
A lighthouse is fixed 190 feet from a straight shoreline. A spotlight revolves at a rate of 12 revolutions per minute, (24 rad/min ), shining a spot along the shoreline as it spins. At what rate is the spot moving when it is along the shoreline 11..
The dean decides the class should have 22 women and 15 men. How many possible classes are there now? Compare the number of possible classes to the solution to (a).
How many bit strings of length 7 are there? Explain. How many bit strings of length 7 are there which begin with a 0 and end with a 1? Explain. How many bit strings of length 7 is there that contain an even number of ones? Explain.
1.)State the multiple regression equation.2)Interpret the meaning of the slopes, b1 and b2,in this problem.3) Predict the weekly fuel consumptions for the average hourly temperature is 53.10 and the chill index is 15.
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 25 feet?
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