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Find the Taylor polynomial of order 3 centered at 0. f(x)=e^-4x

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for abo blood types what is the cross that can give all four possible phenotypes among the progeny

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what is the general solution to the differential equation dy/dx= y^2cosx

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Optima Sdn Bhd (OSB) manufactures and sells product X. In the first four months of the coming year, OSB expects the following unit sales: January 41,000 February 38,000 March 50,000 April 51,000 The selling price is RM35 per unit. OSB’s policy is to have 25% of next month’s sales in ending inventory. The beginning inventory of product X is 6,700 units. Each product X require 5.5 kg of material P1 and 1 kg of materials P2. Company policy requires that ending inventories of materials for each month to be 15% of the next month’s production needs. That policy was met for the ending inventory of December in the prior year. The cost of material for 1 kg of P1 is RM2.00. The cost of material for one kg of P2 is RM1.60. Each unit of product X takes 0.3 direct labour hours. The rate per hour is RM18 per hour. Prepare separate direct materials purchase budgets for P1 and P2 for the month of January and February

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Question 21 1 pts When a government taxes an individual's first $10,000 of income at 10 percent, the next $30,000 at 15 percent, and all further income at 40 percent, the government's income tax is best described as a ______ tax. O transgressive O progressive O capital gains O regressive

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Listen For a contraceptive technique, the ______ pregnancy rate is the percentage of couples who would conceive during the first year of use for all couples using that technique. perfect-use typical-use average-use imperfect-use

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Question 1 (1 point) A ferromagnetic material as shown with a square cross-sectional area of 16 cm$^2$ has a relative permeability of 1000. The number of turns in the coil is 1000. If the outer (maximum) circumference of the core is 86.5 cm, the current required to produce a flux of $6.4\pi$ mWb is ______ Amperes. Your Answer: Answer Question 2 (1 point) A ferromagnetic material (Fig. A) with a square cross-sectional area of 16 cm$^2$ has a relative permeability of 1000. The number of turns in the coil is 1000. The magnetic flux established in the core (Fig. A) is $6.4\pi$ mWb. The above core is cut into equal halves and the one with the coil is extended with the same material as shown in Fig. B. If the outer (maximum) circumference of the core in Fig. A is 93.0 cm, the new number of turns in the coil required (Fig. B) to produce the same magnetic flux of $6.4\pi$ mWb with same current as of Fig. A is ______ turns. Fig. A -20cm- Fig. B

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A chemist makes 430. ml. of iron(II) bromide ($FeBr_2$) working solution by adding distilled water to 40.0 ml. of a 2.61 $\frac{mol}{L}$ stock solution of iron(II) bromide in water. Calculate the concentration of the chemist's working solution. Round your answer to 3 significant digits.

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Consider the following data which represent the number of miles that employees commute from home to work each day. There are two samples: one for males and one for females. Males: 13 5 14 13 5 1 11 2 2 3 7 5 23 6 8 8 14 7 4 9 Females: 15 6 5 6 6 3 3 2 3 1 7 18 2 7 12 4 4 19 4 6 14. The coefficient of variation of commute miles for the males is: a. approximately 67 percent b. about 29.05. c. approximately 3.63. d. none of the above.

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If a pendulum-driven clock gains 3.4 s/day, what fractional change in pendulum length must be made for it to keep perfect time? Express your answer as a percentage change; keep sufficient significant figures. Note: this problem may seem a little intimidating, but you can do it! Read both of the hints carefully, and think about what quantities are changing and which are not. $\frac{dl}{l}$ = __ %

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