Determi the valu of k such that when f(x)= x^4 +kx^3-3x-5 Is divided by x-3, the remai is -10 Question Pls help w this ques, well explianed steps, thanks!
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- indeterminate coefficient method x^2y´´+2xy´-2y=x^2 y(1)=0 y´(1)=1/2Show Detailed SolutionFor a cooking oil company, the price they are paid for coconuts in large shipments is based on the amount of coconut extract from the load. Therefore, there is a need to determine the amount of coconut extract in the whole load prior to extraction. A sample of n coconut can be taken and find y1, . . . , yn , the amount of coconut extract in these coconuts. Nȳ is hard to get in this case because N is hard to count. How can the total amount of coconut extract from a load shipment be measured? Using the total weight would be a good idea and easy to obtain. The relationship between the weight of the load and the weight of the coconut extract one obtains can be used. As it turns out, 15 coconuts selected by simple random sampling were weighed and also extracted. The total weight of the coconut shipment was found to be 900 kg. Given these results (below):Use a ratio estimator to estimate the total weight of the coconut extract for this shipment of coconuts.…Secant method just b
- Degree of homogeneity of the functiom f(x,y) = (x²-4y²)^-1/2Show Detailed Solution. For a cooking oil company, the price they are paid for coconuts in large shipments is based on the amount of coconut extract from the load. Therefore, there is a need to determine the amount of coconut extract in the whole load prior to extraction. A sample of n coconut can be taken and find y1, . . . , yn , the amount of coconut extract in these coconuts. Nȳ is hard to get in this case because N is hard to count. How can the total amount of coconut extract from a load shipment be measured? Using the total weight would be a good idea and easy to obtain. The relationship between the weight of the load and the weight of the coconut extract one obtains can be used. As it turns out, 15 coconuts selected by simple random sampling were weighed and also extracted. The total weight of the coconut shipment was found to be 900 kg. Given these results (below):Suppose there were 6870 coconuts in the shipment. Compute the variance of the regular SRS estimate of the…Application of derivative Optimization We are going to fence in a rectangular field that encloses 200 m2. If the cost of the material for of one pair of parallel sides is $3/m and cost of the material for the other pair of parallel sides is $8/m determine the dimensions of the field that will minimize the cost to build the fence around the field.
- A window has a rectangle form, and finish in the top with an equilateral triangle. The window perimeter is 3 meters. Which is the longitude of the rectangle for a maximum area of the window? Also, determinate the value of the area: Establish the representative variables of longitude of each side of the window, based on the following draw: Define the function or the equation of the area. Determinate the principal or auxiliar formulas that involve the problem. Determinate the critical value(s) of the function. Apply the criteria theorem of the first and second derivatives to determine the existence of the maximum and minimum of the functions.The long run. A chair manufacturer hires its assembly-line labour for $18 an hour and calculates that the rental cost of its machinery is $6 per hour. Suppose that a chair can be produced using 4 hours of labour or machinery in any combination. The firm is currently using 1 hour of labour for every 3 hours of machine time. (Assume that labour is on the horizontal axis and capital is on the vertical axis). 3. Graphically illustrate your answer by drawing an isoquant, an isocost line for the current combination of labour and capital and an isocost line for the optimal combination of labour and capital. An isocost corresponding to the optimal combination of labour and capital is [a vertical line, a horizontal line, an upward sloping straight line, an upward sloping curve which is not a straight line, a downward sloping straight line, a downward sloping curve which is not a straight line, L-shaped] has slope [ ] at the optimal combination of inputs An isoquant…Using Cramer's method please x and y. No 8
- Differentiate xsin(x) I know this is a chain rule, but how do you apply it? Thanks.For the function f (x) = x4 + 4x3 - 7x2 – 34x- 24 determin a) The intervals of increasing and decreasing b) The location of any maximum and minimum point c) The interval of increasing and decreasing d) The location of any point of inflation.A farmer will use up to 250 square meters for planting flowers and vegetables. She wants the area used for vegetables to be at least twice the area used for flowers. Let x denote the area (in square meters) used for flowers. Let y denote the area (in square meters) used for vegetables. Shade the region corresponding to all values of x and y that satisfy these requirements.