11. Air is pumped into a spherical balloon such that the surface area of the balloon increases at a rate of 10 cm² per second. Find the rate at which the radius is increasing when the radius is 4 cm. [i. e. find dr/dt when r=4] [Note : surface area, A = 4pi r2]​

Arandomized controlled trial is designed to evaluate the effect of metoprolol in patients with heart failure. while preparing for statistical analysis, the researcher reviews some common types of statistical errors. which of the following statements is true regarding a type i error in a clinical study? a. the study is not significantly powered to detect a true difference between study groups. bthe null hypothesis is true but is rejected in error. c. the null hypothesis is false but is accepted in error. d. type i error is also known as beta and is usually 0.1 or 0.2. e. type i error depends on the study's confidence interval.

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Suppose the equation ||x-a|-b|=2008 has 3 distinct real roots and a not =0. find the value of b.