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10 Nov 2019
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2/9x2 + 25 dx Determine the function f(x) given that f'(x) = 1 + sin x and f(0) = 3 The acceleration due to gravity on the moon is 1.62 m/s2 . If a ball is thrown from the surface of the moon upwards with a velocity of 20 m/s, what will its maximum height be? Estimate the net area under the graph of y=x sin x between x = 0 and x = 25 using a Right Riemann Sum with 100 subintervals. Find the average value of f (x)=sin (x) between 0 and 2 pi using the formula involving the integral. Explain why your answer makes sense by considering the graph of y=sin x Show all your work. Evaluate the following integrals Albumin is a protein found in the blood. A common test to see if a person has liver disease is to check that person's albumin levels. If the concentration of albumin in the blood serum is under 32 mg/ml, then liver disease is suspected, as liver disease is the most common cause of low albumin. This test is performed by taking a 1 mL sample of blood serum and running it through an HPLC machine which separates the albumin from the other chemicals in the blood. The output of one such test is displayed below. Does this person have low albumin? HINT: Use the trapezoid method to determine the area under this curve = weight of albumin in the 1 mL sample of blood serum Given that f(x)dx =8 and f(x)dx=-2 c, evaluate the following (f{x)+2x +1)dx 3 f[x)dx The density 'p' of a certain cylindrical rod that has radius 0.1 metres and length 4 metres varies along the length x of the rod by the formula p(x)=3+ 2 x kilograms per cubic meter for 0 x 4. Find the total mass of the rod. HINT: How much weight is there in the differential slice at "x"? It is p(x) times the volume of the slice (pi r2 dx )
could you please help
2/9x2 + 25 dx Determine the function f(x) given that f'(x) = 1 + sin x and f(0) = 3 The acceleration due to gravity on the moon is 1.62 m/s2 . If a ball is thrown from the surface of the moon upwards with a velocity of 20 m/s, what will its maximum height be? Estimate the net area under the graph of y=x sin x between x = 0 and x = 25 using a Right Riemann Sum with 100 subintervals. Find the average value of f (x)=sin (x) between 0 and 2 pi using the formula involving the integral. Explain why your answer makes sense by considering the graph of y=sin x Show all your work. Evaluate the following integrals Albumin is a protein found in the blood. A common test to see if a person has liver disease is to check that person's albumin levels. If the concentration of albumin in the blood serum is under 32 mg/ml, then liver disease is suspected, as liver disease is the most common cause of low albumin. This test is performed by taking a 1 mL sample of blood serum and running it through an HPLC machine which separates the albumin from the other chemicals in the blood. The output of one such test is displayed below. Does this person have low albumin? HINT: Use the trapezoid method to determine the area under this curve = weight of albumin in the 1 mL sample of blood serum Given that f(x)dx =8 and f(x)dx=-2 c, evaluate the following (f{x)+2x +1)dx 3 f[x)dx The density 'p' of a certain cylindrical rod that has radius 0.1 metres and length 4 metres varies along the length x of the rod by the formula p(x)=3+ 2 x kilograms per cubic meter for 0 x 4. Find the total mass of the rod. HINT: How much weight is there in the differential slice at "x"? It is p(x) times the volume of the slice (pi r2 dx )