Consider the given vector equation. r(t) = 2eti + 3e−tj (a) find r'(t). r'(t) = < 2et,−3e−t> (b) sketch the plane curve together with the position vector r(t) and the tangent vector r'(t) for the given value of t = 0.

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

Is there an x intercept in the equation 60*1.15^x

You buy five cds at a sale for $5.95 each. write an expression for the total cost of the cds.then use the distributive property and mental math to evaluate the expression.