Calcuate the entearals over the defened reapon trapez0id with comes (4,<), (2,2), (2,0) and Che, O) on dA
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A: Given, In △ABC, X is the centroid and CW¯=15
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A: Given,
Q: Calculate the distance from point s(10, -8, 10) to the plane 2x + 2y + z = 4 O 10 O 10 의 ~m 의 29
A: Given query is to find the distance between the plane and point. The given point is S(10, -8, 10)…
Q: Construct the bisector of XY.
A: According to our guidelines we can answer only first question . Kindly re-post other questions . (1)…
Q: Find the points on the cone z2 = x² + y² that are closest to the point (1,-1,0) %3D
A: Given that, z2=x2+y2 and the point is (1, -1,0). Form the equation of distance as follows.…
Q: define trapezoidal rule
A: To Define The Trapezoidal Rule
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A: (a) The orthocentre is the point where all the three altitudes of the triangle cut or intersect each…
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Q: 4. In a rhombus WXYZ, WXY = 108°. Find () XY, (ii) XỸZ, (iii) XÂWY. %3D
A: Answer: Given W X^ Y =108° →(1) In a rhombus the diagonals bisect the angle at the vertices→(2) The…
Q: the trapezoidal rule with
A: In this question, the concept of the Trapezoidal rule is applied. Trapezoidal rule One of the key…
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Q: The centroid of an obtuse triangle is outside the triangle. true or false?
A: solution ======== The centroid is the concurrent point of the three medians in a triangle. It is the…
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Q: Find the acute angle (in degrees) between the planes 5x 4y – 2z = 8 and 5x 2y – 5z = 5. %3D %3D
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A: Given a point (1, -2, 4) and a plane 3x + 2y + 6z = 5
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Q: Find the points on the cone z2 = x2 + y2 that are closest to the point (8, 2, 0). (x, y, z) =…
A: Here we use partial derivatives to solve this problem.
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A: Answer: No Trapezoidal Rule: This is mostly used for evaluating the area under the curves and the…
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Q: 2. Do the three planes X + 2y + z = 4, y - z = 1, x+ 3y = 0 have at least one commom point of…
A: The equation of the plane is given by the formula ax+by+cz+d=0. The system of planes can be solved…
Q: Find the distance between the planes 4x + 5y + z = 25 and 4x + 5Y + z = 53. %3D
A: Explanation of the solution is given below....
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A: The curves that cut every member of a given family of curves at right angles, is called an…
Q: Verify Green's theorem Where C is the boundary of the triangle formed by x=3 , y=0 , x2= 3y
A: Verify Green's theorem Where C is the boundary of the triangle formed by x=3 , y=0 , x2= 3y
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A: 8/3
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Q: Prove that the shape ABCD is a rhombus. With A(1, 4), B(3, 0), C(1. -4) and D(-1,0).
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Q: How to use the trapezoidal rule to approximate distance travel?
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Q: Find the volumes of the solids generated by revolving the triangle with vertices (2,2), (2,7), and…
A: Using washer method
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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
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A: Given: Hypercube Qn, n≥2 We have to find the reason behind that why hypercube is hamiltonian.
Q: ind the equation of the parabora y= ax^2 +bx +c that passes through points (0,3) (1,-4) (-1,4)
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Q: Ewaluate SSS z &V, nwhene Ě is bavn ded the planes メ=0 yo0,そ:0, and for he cage du dy dz
A: Evaluate, ∬∫Ezdxdydz Where E is bounded by the plane x=0 ...(1)y=0 ...(2)z=0…
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- A production process produces and packages soap in boxes weighing 140 grams. Owing to inspection carried out by several large municipalities, the penalty for placing, on the average, less than 140 grams in a box can be severe. Likewise it would also be wasteful for the company if they place, on the average, more than 140 grams in a box. Hence, the machine was adjusted to put 140 grams of soap in a box. After a year, the company wants to check if there is a need to readjust the machine. The company wishes to perform a test of hypothesis at 0.01 level of significance using the following data collected from a random sample: (photo attached). • State Ho and Ha.• Write the formula of the test statistic to be used.• State the decision rule at 0.01 level of significance.• Compute for the value of the test statistic.• Is there sufficient evidence at 0.01 level of significance for the company to conclude that mean weight of soap packaged in a box is not anymore 140 grams so that there is a need…Young dribbles the ball according to the rule (x,y) -> (x, y - 10) and then passes the ball according to the rule (x,y) -> (x + 8, y -2). Who receives Young's pass?The KLM Christmas tree Farm owns a plot of land with 5000 evergreen trees.Each year KLM allows retailers of Christmas trees to select and cut trees for sale to individualcustomers. KLM protects small trees (usually less than 4 feet tall) so that they will be availablefor sale in future years. Currently, 1500 trees are classified as protected trees, while theremaining 3500 are available for cutting. However, even though a tree is available for cuttingin a given year, it may not be selected for cutting until future years. Most trees not cut in agiven year live until the next year, but some diseased trees are lost every year. In viewing the KLM Christmas tree operation as a Markov process with yearly periods, we define thefollowing four states:
- A machine shop has an order for 12,000 pcs. of a machine part that requires anti-corrosive properties. Chromium steel alloy that cost Php 95.00/ kg or Nickel steel alloy that cost Php 85.00 /kg may be used. The weight per piece, production per day and tool bit replacement cost for Cr-alloy are: 0.25 kg, 75 pcs and Php 1,600 every 400 pcs. Produced. The respective date for Ni-alloy are 0.3 kg, 50 pcs. And Php 1,800.00 for every 300 pcs. produced. If the charge for the labor and other operating cost is Php 450.00/day with all other expenses being the same, determine which material should be used.A company manufacture two different types of call phone F and E, each unit of call phone S costs (OR .7)and each unit of call phone E costs (OR. 6). The company insists that total costs for the two types call phone be (OR .400). Assuming that company manufactures in total 88 products. How many products are of type Fand E? (solve the problem using Crammer's Rule)A manufacturer is Trying to find the best way to package the new rubiks ball. The best two options are to place the ball into a cylinder box(option 1) or a rectangular box (option 2) The manufacturer wants to waste as little of space as possible inside the packaging. Which box is a better fit and wastes less space for the rubiks ball?
- A dietitian wishes a patient tp have a meal that has 82 grams of protein, 125.5 grams of carbohydrates and 690 miligrams of calcium. The hospitla food service tells the dietitin htat the dinner for today is chicken, corn and milk. Each serving of chicken has 40 grams of protin,45 grams of carbohydrtates and 1oo miligrams of calcium. Each serving of corn has 3 grams of protein, 16 grams of carbohydrates and 10 miligrams of calcium, Each glass of milk has 8 grams of protein, 13 grams of carbohydrates and 260 miligrams of calcium. How many servings of each food should the dietician provide for the patient.Tuff Rubbers, a tire manufacturer, knows that 5% of the tires it produces are defective. To reduce the number of defective tires that make it to market, the manufacturer uses a special device to test each tire before shipping it out. The test will correctly detect a defective tire 97% of the time. However, the test will incorrectly indicate a good quality tire is defective 6% of the time. If the test indicates a tire is defective, the tire is recycled. Otherwise, the tire makes it to market. Let D represent the event a tire is defective, and T represent the event the test indicates a tire is defective. In each part of this question, express each probability only in terms of the events D and T and justify any computation by explicitly stating the formula you are using. (a) Express each of the three probabilities listed above in terms of the events D and T. (b) What percentage of tires are recycled? (c) What percentage of recycled tires are not defective? (d) What percentage of…A grocery store is holding a 10% discount promo for purchasing all items without certain conditions. Dona, Dini and Dina shop at the store. Dona y 2 kg of cooking oil, 5 kg of rice, and 2 kg of eggs, must pay IDR 133,200.00. Then Dini, who bought 1 kg of cooking oil, 3 kg of rice and 2 kg of eggs, had to pay IDR 97,200.00. Meanwhile, Dina, who bought 2 kg of cooking oil, 4 kg of rice and 1 kg of eggs, also had to pay eggs before the discount! IDR 97,200.00. Determine the price of 1 kg of cooking oil plus 1 kg of rice plus 1 kg of.. A. IDR 50,000.00 B. IDR 52,000.00 C. IDR 54,000.00 D. IDR 56,000.00 Please with an explanation! E. IDR 58,000.00
- Company X has 10 employees, each placing an average of 20 minutes of long-distance calls per day. The average call lasts 5 minutes. It has been determined that 20% of the calls are made during busy hour. A total of 4 external phone lines are used to place the pool of calls. Calculate the traffic flow in Erlang during the busy hour.A mining compariy produces'100 tons of red ore and 80 tons of black ore each week. These can be treated in different ways to produce tree different alloys, soft hard or strong. To prbduce l ton of soft alloy requires 5 tons of red ore and 3 tons of black. For the hard alloy the requirements are 3 tons of red and 5 tons of black. The profit per ton from selling the alloys (after allowing for production but not mining costs, which are regarded as fixed) are 5250, $300 and 5400 for soft, hard and strong respectively. Find the optimal combination to maximize the company's profit.A cinema can accomodate 200 customers. Let z denotes the numbers of the customers in cinema. What are the possible value of z?
