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mineral deposits have formed a uniform coating that is 4 millimeters thick on the inside of a water pipe. the cross sectional area has decreased by 10%. what was the original diameter of the pipe?
A student team examined parked cars in four different suburban shopping malls. One hundred vehicles were examined in each location. Research question: At α = .05, does vehicle type vary by mall location?
Compute the integral of 4y^3 dx -2x^2 dy around the square bounded by the lines y=+/- 1 and x=+/-1. Directly by performing the line integration.
Find the mass and center of masss of the solid S bounded by the paraboloid z= 4x^2 + 4y^2 and the plane z= a (a is greater than 0) if S has constant density K.
A laboratory designed a radio telescope with a diameter of 380 feet and a maxium depth of 38 feet. The graph depicts a cross section of this telescope. Find the equation of the parabola?
What is the circumference of the circle when A is a minium?
Find the validity of argument form.
Confirm that the two results are consistent by expressing the derivative in part (a) as a function of x alone.
Find f'(x) using the appropriate rule and simplify to one expression with positive exponents. Find all values of x, using algebra, where f'(x)=0 (Write your answer with positive exponents)
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round you answer to four decimal places. Enter your answers as a comma-separated list.)
Suppose the position of a particle after t seconds is given by the following vector equation - evaluate each of the following vectors:
Katy deposits $100 in such a savings account. Find out how much money will be in her account after 8 years.
Suppose a rational function R(x) has the horizontal asymptote y = 3/2. Explain the behavior of the function as the variable x increases without bound.
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