In Problems 39–42, write each expression in the form ax p + bx q or ax p + bx q + cx r , where a, b, and c are real numbers and p, q, and r are integers. For example, 2 x 4 − 3 x 2 + 1 2 x 3 = 2 x 4 2 x 3 − 3 x 2 2 x 3 + 1 2 x 3 = x − 3 2 x − 1 + 1 2 x − 3 40. 5 x 3 − 2 3 x 2
In Problems 39–42, write each expression in the form ax p + bx q or ax p + bx q + cx r , where a, b, and c are real numbers and p, q, and r are integers. For example, 2 x 4 − 3 x 2 + 1 2 x 3 = 2 x 4 2 x 3 − 3 x 2 2 x 3 + 1 2 x 3 = x − 3 2 x − 1 + 1 2 x − 3 40. 5 x 3 − 2 3 x 2
Solution Summary: The author explains the expression 5x3-23, where a, b, and c are real numbers. Using the above definition and exponent property simplify the given expression as
In Problems 39–42, write each expression in the form axp + bxq or axp + bxq + cxr, where a, b, and c are real numbers and p, q, and r are integers. For example,
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100 identical balls are rolling along a straight line. They all have speed equal to v, but some of them might move in opposite directions. When two of them collide they immediately switch their direction and keep the speed v. What is the maximum number of collisions that can happen?
Let f(w) be a function of vector w Є RN, i.e. f(w) = 1+e Determine the first derivative and matrix of second derivatives off with respect to w.
Let A Є RN*N be a symmetric, positive definite matrix and bЄ RN a vector. If x ER, evaluate the integral Z(A,b) = e¯xAx+bx dx as a function of A and b.
John throws a fair die with faces labelled 1 to 6. ⚫ He gains 10 points if the die shows 1. ⚫ He gains 1 point if the die shows 2 or 4. • No points are allocated otherwise. Let X be the random variable describing John's gain at each throw. Determine the variance of X.
A 20 lb horizontal force P acts on a bell crank as shown below. (a) Replace P with an equivalent force-couple system at B. (b) Find the two vertical forces at C and D which are equivalent to the couple found in part a
Please solve and explain
Chapter A.5 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.
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