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FLOW OF WATER FROM A TANK Water flows from a tank of constant cross-sectional area 50 ft2 through an orifice of constant cross-sectional area 1.4 ft2 located at the bottom of the tank (see the figure).
Initially, the height of the water in the tank was 20 ft, and its height t sec later is given by the equation
How fast was the height of the water decreasing when its height was 8 ft?
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Chapter 3 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)
- Find the equation of the tangent line to the graph of the given function at the given value of x. 6 f(x) = x(x² - 4x+5)*; x=2arrow_forwardFind the equation of the tangent line to the graph of the given function at the given value of x. f(x)=√√x+33; x=4arrow_forwardFind g[f(-7)]. f(x) = x² + 1; g(x)=-5x-1arrow_forward
- Find the x-values where the following do not have derivatives.arrow_forwardLet f(x)=7x²-2x and g(x) = 5x+3. Find f[g(k)].arrow_forwardExpress the integrand as a sum of partial fractions and evaluate the integral. 2 32s+ 32 (s²+1) (s-1)3 ds Express the integrand as a sum of partial fractions. (Simplify your answer.)arrow_forward
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