Basic Math question and answers for November 12, 2024
- Q Let R be the area bounded by the graph of y = 16-x and the x-axis over [0,2]. a) Find the volume of the solid of revolution generated by rotating...
- Q The diagram below shows two spheres, one with diameter 12 cm and one with diameter 9 cm.What is the difference in their surface areas?
- Q Approximate the area under the graph of f(x) = 0.05x - 1.44x +56 over the interval [2,6] by dividing the interval into 4 subintervals. Use the left endpoint of eachsubinterval.The...
- Q Which of the following describes the area of the region in quadrant II bounded by f(x), g(x), and the y-axis, if f(x) = x2 - 2x and g(x) = -3x...
- Q For the regions A and B shown in the graph:Part A: Discuss the limits of integration. (3 points)Part B: Set up an integral expression that represents the total area. (4...
- Q You have 1260 feet of fencing to enclose arectangular garden. What are the lengthand width of the garden which willmaximize the area? Write your twodimensions separated by a comma. Forexample,...
- Q A circle has a diameter of 20 units. Find the area100?10?20?400?
- Q A pen stand made of wood is in the shape of a cubold with four conical depressions to hold pens. The dimensions ofthe cubold are 15 cm by 10 cm...
- Q Find the volume of the rectangular pyramid whose base is 3 m x 6 m and whose height is 5 m.60 m90 m30 m
- Q Find the area of an obtuse triangle with a base of 8 inches and a height of 5 inches.A. 40 square inchesB. 20 square inchesC. 45 square inches
- Q A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter and the diameter of the spherical part is8.5 cm. Find the volume of the flask....
- Q A general contractor is constructing a building thatrequires a concrete foundation that is to be 15 feet by18 feet and 18 inches thick. If the local home supplystore sells concrete...
- Q Find the area of the triangle.a=14, b=17, c = 22
- Q The dimensions of a triangular lot are 198 feet by 188 feet by 197 feet. If the price of such land is $3 per square foot, how much does the...
- Q Fill in the blank.The graphs of the tangent, cotangent, secant, and cosecant functions all have -Select--- asymptotes. ...
- Q Find the area and perimeter of the figure below. Do not forget units. Arc AB is a semicircle (half of a circle, ABC is a right triangle, AB = 16...
- Q You have 80 yards of fencing to enclose a rectangular region.a) Write a function for the area of the rectangular region in terms of x.b) Find the dimensions of the...
- Q A certain forest covers an area of 2500 km. Suppose that each year this area decreases by 3.5%. What will the area be after 11 years?Use the calculator provided and...
- Q Which formulas can be used to find the surface area of a right prism where pis the perimeter of the base, h is the height of the prism, BA is...
- Q The four sequential sides of a quadrilateral have lengths a = 5.3, b = 7.2, c = 9.7, and d = 10.9 (all measured in yards). The angle between the...
- Q The ratio of the lengths of the corresponding sides of two rectangles is 8:3. The area of the larger rectangle is 320 ft2. What is the area of the smaller...
- Q A sports recreation company plans to manufacture a beach ball with a surface area of 7238 in. Use the formula A = 4r, to find the radius of the beach...
- Q If the diameter of a sphere is 4 ft, then what is its surface area? Leave your answers in terms of ?A. 14? mB. 16 mC. 2? mD.16? m
- Q Find the area of a triangle with legs that are: 9 mm, 6 mm, and 12 mm.A. 12.3 mmB. 11.6 mmC. 37 mmD. 26.1 mm
- Q If the coordinates of a parallelogram are Q(3, -2), R(7, -2), S(9,3), and T(5,3), the area of the parallelogram is:A. 30 unitsB. 10 unitsC. 20 unitsD. 40 units
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