Evaluate the integral using an appropriate trigonometric substitution


Mathematics

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Solve the problem using determinants.Linear systems occur in the design of roof trusses for new homes and buildings. The simplest type of roof truss is a triangle. The truss shown in the figure is used to frame roofs of small buildings. If a force of 125 pounds is applied at the peak of the truss, then the forces or weights W1 and W2 exerted parallel to each rafter of the truss are determined by the following linear system of equations. (W1 + W2) = 125W1 - W2 = 0Find W1 and W2. 

A. W1 = 72.17 lb; W2= 62.5 lb B. W1 = -72.17 lb; W2= -72.17 lb C. W1 = 41.67 lb; W2= 41.67 lb D. W1 = 72.17 lb; W2= 72.17 lb

Mathematics

Answer the question.Use the equation 2x2 + 5x = c to explain how to solve a quadratic equation by completing the square.

What will be an ideal response?

Mathematics

Use the given transformation to evaluate the integral.    Rwhere R is the trapezoid with vertices at    

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A.
B.
C.
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Mathematics

Solve the problem. Round amounts to the nearest cent and percents to the nearest tenth of a percent.Markup = $5.28; Selling price = $64.16. Find the cost.

A. Cost: $64.16 B. Cost: $5.28 C. Cost: $69.44 D. Cost: $58.88

Mathematics