How to Solve Newton's Law of Cooling |
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The total surface area of a closed cylindrical tank is 153.94 square meter. If the volume is to be maximum, what is its height in meters. |
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A hollow glass bowl in the shape of a sphere of radius 4” is filled with water to a depth of 3”. If the water flows out through a small hole in the bottom so that the level drops 2”, how much water has escaped in in3? |
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Differential equation: Eliminate the arbitrary constant from $y=c_1e^{5x}+c_2x+c_3$ |
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Point (3, 4) is the center of the circle that is tangent to the x-axis. What is the point of tangency? |
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The ratio of two numbers is 6:7. If the large number is 42, what number is the smaller one? |
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Statics |
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An arch 18 m high has a form of a parabola with a vertical axis. The length of a horizontal beam placed across the arch 8 m from the top is 64 m. Find the width at the bottom. |
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Circle a has circumference numerically equal to its area. If the certain square has the same area with the circle a, then what would be the length of its sides? |
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Find the equation of the line through (4, -7) parallel to the y-axis. |
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A decagon has how many diagonals? |
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Differential equation |
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What is the value of x in trigonometric substitution with an integrand involving (a2 - x2)? |
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Find the equation of the line whose slope is -3 and the x-intercept is 5. |
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Find C so that the line y = 4x + 3 is tangent to the curve y = x2 + C. |
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Convert the equation (3a + 2b)^2 into a polynomial. |
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A circle with radius r has a circumference equal to the perimeter of a square whose side is S. Which of the following is true? |
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If three coins are tossed, how many possible ways are there of at least one coin showing tails? |
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The triangle defined by the points A(6, 1), B(2, 4), C(-2, 1) is… |
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A large sewer system will cost P8,750,000 annually. There will be favorable consequences to the general public of P25,000,000 annually and adverse consequences to a small segment of the public of P2,500,000 annually. What is the benefit to cost ratio? |
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