How fast is the outer surface area shrinking?ĭetermine the percentage uncertainty in the area of a square that is 6.08 (+/-) 0.01 m on a side. Gas is escaping from a spherical balloon at a constant rate of 2 fˆ3/min. When it is divided by x + 1 the remainder is 10. When the polynomial x^4 + bx^3 + 5x^2 + dx + 6 is divided by x - 2 the remainder is 16. What is the radius of the circle x^2 + y^2 - 6x = 0? What is the equation of the normal to the curve x^2 + y^2 = 25 at (4, 3)? If the water current in the river is 8 kph, calculate the speed of the boat in still water. What is the sum of all the terms?Ī boat going upstream takes 1.5 times longer than going the same distance downstream. There are 7 arithmetic means between 3 and 35. The digits of a three-digit number are in arithmetic progression, find the sum of all the digits If arcsin (3x - 4y) = 1.571 and arccos (x - y) = 1.047, what is the value of x? Find the value of c when the length of the tangent from (5, 4) to the circle is equal to one.Ĭalculate the acute angle between 2x - 4y - z = -5 and 3x + 4y + 5z = -6 Sum of the first ten terms of a Geometric ProgressionĬalculation of true distance of a line measuring 160.42 m using a tape that is 0.02m too longĪ circle has an equation of x^2 + y^2 + 2cy = 0.
Largest box that can be made from rectangular cardboardĮquivalent Cartesian Equation of Parametric EquationsĮquation of the sphere of radius 3 and tangent to coordinate-planesĮquivalent land area of 600 mm^2 map-area with given map-scaleĮvaluate the integral of (x dx) / (x^2 + 2) with lower limit of 0 and upper limit of 1ĭetermine the radius of curvature of the curve x = y^3 at point (1, 1)Ĭalculate the area enclosed by the curve x^2 + y^2 - 10x + 4y - 196 = 0. What is the smallest integer?Ĭomparing alternatives: Buy a truck vs rent a truck The sum and product of three distinct positive integers are 15 and 45, respectively.
Value of t for a germ population to double its original value Which curve has a constant first derivative?įind $x$ from $xy = 12$, $yz = 20$, and $zx = 15$
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