Other Math

Determine which of (a)-(d) form a solution to the given system for any choice of the free parameter. (HINT: All parameters of a solution must cancel completely when substituted into each equation.) 3×1 + 8×2 – 14×3 9 x1 + 3×2 – 4X3 = 2 (a) (9 – 2s1, 3 + 3s1,s1) solution not a solution (b) (-4 – 5s1 -(3 + s1)/2) solution not a solution (c) (11 + 10s1, -3 – 2s1, s1) solution not a solution (d) ((6 – 4s1)/3, s1, -(7 – s1)/4) solution not a solution

EXPERT ANSWER

For tax and accounting purposes, corporations depreciate the value of equipment each year. One method used is called “linear depreciation,” where the value decreases over time in a linear manner. Suppose that two years after purchase, an industrial milling machine is worth $730,000, and five years after purchase, the machine is worth $190,000. Find a formula for the machine value V (in thousands of dollars) at time t ≥ 0 after purchase.

For tax and accounting purposes, corporations depreciate the value of equipment each year. One method used is called “linear depreciation,” where the value decreases over time in a linear manner. Suppose that two years after purchase, an industrial milling machine is worth $730,000, and five years after purchase, the machine is worth $190,000. Find a …

For tax and accounting purposes, corporations depreciate the value of equipment each year. One method used is called “linear depreciation,” where the value decreases over time in a linear manner. Suppose that two years after purchase, an industrial milling machine is worth $730,000, and five years after purchase, the machine is worth $190,000. Find a formula for the machine value V (in thousands of dollars) at time t ≥ 0 after purchase. Read More »

For tax and accounting purposes, corporations depreciate the value of equipment each year. One method used is called “linear depreciation,” where the value decreases over time in a linear manner. Suppose that two years after purchase, an industrial milling machine is worth $690,000, and five years after purchase, the machine is worth $180,000. Find a formula for the machine value V (in thousands of dollars) at time

For tax and accounting purposes, corporations depreciate the value of equipment each year. One method used is called “linear depreciation,” where the value decreases over time in a linear manner. Suppose that two years after purchase, an industrial milling machine is worth $690,000, and five years after purchase, the machine is worth $180,000. Find a …

For tax and accounting purposes, corporations depreciate the value of equipment each year. One method used is called “linear depreciation,” where the value decreases over time in a linear manner. Suppose that two years after purchase, an industrial milling machine is worth $690,000, and five years after purchase, the machine is worth $180,000. Find a formula for the machine value V (in thousands of dollars) at time Read More »

Recall the product ruie for derivatives: You might express this in English as: The derivative of a product of functions is not the product of the derivatives of the functions. However, note that to which you might say The derivative of the sum of two functions is the sum of the derivatives of the individual functions 1. Now suppose that G'(z) = g(z) and H'(z) = h(s). g(z)h(E)? Confirm or provide a counterexample. Is it true that P(z) = G(zja(z) is an antiderivative of p(z)- 2. Apply your conclusion to f(x)3 cos(z). What can or can’t you say with oertainty?

EXPERT ANSWER

Approximate the sum of the series by using the first six terms. (Round your answers to four decimal places.) sigma_n=0^infinity (-1)^n 4/n! Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to four decimal places.) sigma_n=1^infinity (-1)^n + 1/4^n Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the series with an error of less than 0.001. sigma_n=1^infinity (-1)^n + 1/n^6

EXPERT ANSWER

In a certain region of the country it is known from past experiencethat the probability of selecting an adult over 40 years of agewith cancer is 0.05. If the probability of a doctor correctlydiagnosing a person with cancer as having the disease is 0.78 andthe probability of incorrectly diagnosing a person without canceras having the disease is 0.06, what is the probability that aperson is diagnosed as having cancer?

In a certain region of the country it is known from past experiencethat the probability of selecting an adult over 40 years of agewith cancer is 0.05. If the probability of a doctor correctlydiagnosing a person with cancer as having the disease is 0.78 andthe probability of incorrectly diagnosing a person without canceras having the …

In a certain region of the country it is known from past experiencethat the probability of selecting an adult over 40 years of agewith cancer is 0.05. If the probability of a doctor correctlydiagnosing a person with cancer as having the disease is 0.78 andthe probability of incorrectly diagnosing a person without canceras having the disease is 0.06, what is the probability that aperson is diagnosed as having cancer? Read More »