Mathematics Homework Solutions

In what case the Gaussian quadratures can be applied to the improper integrals?

6. In what case the Gaussian quadratures can be applied to the improper integrals? Analyze whether the following integral is convergent and evaluate it by the appropriate method 7. Find numerically the derivative of y = sin x at x = 0.2. Compare to the exact value and to the theoretically predicted error. 8. Solve the f ...continues

Ensco Lighting Company has fixed costs of $100,000, sells its units for $28, and has variable costs of $15.50 per unit.

Ensco Lighting Company has fixed costs of $100,000, sells its units for $28, and has variable costs of $15.50 per unit. a. Compute the break-even point. b. Ms. Watts comes up with a new plan to cut fixed costs to $75,000. However, more labor will now be required, which will increase variable costs per unit to $17. The ...continues

Ensco Lighting Company has fixed costs of $100,000, sells its units for $28, and has variable costs of $15.50 per unit.

Ensco Lighting Company has fixed costs of $100,000, sells its units for $28, and has variable costs of $15.50 per unit. a. Compute the break-even point. b. Ms. Watts comes up with a new plan to cut fixed costs to $75,000. However, more labor will now be required, which will increase variable costs per unit to $17. The ...continues

Prove the Dedekind cut theorem.

The problem did not appear in the box, so please see attachment.

An organization uses a spam filtering software to distinguish legitimate messages from spam messages.

Please see attached. Also note that we need to specify an optimal strategy here. An organization uses a spam filtering software to distinguish legitimate messages from spam messages. The spam filter tags messages as High-Risk (H), Moderate-Risk (M), or Low-Risk (L). Extensive experimentation with the software indicates th ...continues

The financial success of the Downhill Ski Resort in the Blue Ridge Mountains is dependent on the amount of snowfall during the winter months.

The financial success of the Downhill Ski Resort in the Blue Ridge Mountains is dependent on the amount of snowfall during the winter months. If the snowfall averages more than 40 inches, the resort will be successful; if the snowfall is between 20 and 40 inches, the resort will receive a moderate financial return; and if snowfa ...continues

Zero Solutions on an Interval

Trying to solve the following. Can't figure out answer for higher orders especially. The function f (x) and all of its derivatives on continuous on [0, 10]. You know that f (0) = 0, f (2) = 0, f (3) = 0, f (6) = 0, and f (8) = 0. At how many points must the first derivative of f (x) be zero? At how many points must the seco ...continues

Round-off Error - Quadratic Equations

GIVEN If b^2-4ac>0, the quadratic equation ax^2 + bx +c = zero has two real solutions x1, x2 given by the typical: (1) X1 = (-b + sqrt(b^2 – 4ac))/2a and (2) X2= (-b - sqrt(b^2 – 4ac))/2a By rationalizing the numerator it is also given that: (1A) X1 = -2c / (b + sqrt(b^2 – 4ac)) (2A) X2 = -2 ...continues

Quadratic Equation : Cancellation Round-off Error : Numerical Analysis : Looking for Solution Confirmation

I have numerically solved the following quadratic equation: 1.002x2 – 11.01x + 0.01265 = 0. IS IT POSSIBLE THAT IN THIS INSTANCE EQUATION (2) EQUALS (2A) BELOW: If b2 - 4ac >0, the quadratic equation ax2 + bx +c = zero has two real solutions x1, x2 given by the typical: (1) x1 = (-b + sqrt(b^2-4ac))/ (2a) ...continues

Bisection Algorithm and Programming

Procedures (These are the general instructions I must follow): You may use calculators and Computer Algebra programs when doing calculations. The only high level commands you can use are plotting commands. Never use commands like FindRoot, Solve, Taylor, etc, on any exam or quiz. Problem is attached: Interested in address ...continues

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