5.6 Exercises Problem 5.1. Consider the two-point boundary value problem u(0) = u(1) = 0. -u" = f, 0
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- Suppose X and Y are the coordinates of a randomly sampled point in the triangle with vertices (- O), (0,1). (This means their joint PDF is a constant). Find the joint PDF of X and Y, call if f (x,y). Find fy (y)7. (3, 5) is a point on the graph of y = f(x). Find the corresponding point on the graph of each of the following relations. a) y = 3f(-x + 1) + 2 %3D b) y=f¯'(x)There are two tangent lines to the curve y %3D x+ 1 that are parallel to the line x - 2y = 2. Find either one of the them and put it in the form y = mx + b. Ente- the valu. | the ansver bov belew.
- 10. Find all relative maxima of the given function. y = x* – 8x +16x² +10 A) (0,10) (2,26) (4,10) В) C) D) (0,10).(4,10) E) no relative maximaA diet center claims that it has the most effective weight loss program in the region. Its advertisements say, “Participants in our program lose more than 4 pounds within a month.” Six clients of this program are weighed on the first day of the diet and then one month later. Let the difference be defined as Weight on First Day of Diet minus Weight One Month Later. (You may find it useful to reference the appropriate table: z table or t table) (Image is table) a. Specify the null and alternative hypotheses that test the diet center’s claim. (Which is Correct) H0: μD = 4; HA: μD ≠ 4 H0: μD ≥ 4; HA: μD < 4 H0: μD ≤ 4; HA: μD > 4 b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test Statistic = c. Find the p-value. p-value < 0.01 0.05 ≤ p-value < 0.10 p-value ≥0.10 0.025≤ p-value < 0.05 0.01 ≤…Please
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