x+7x+10 (x-3)(x+2) 6. Check the function g(x) for discontinuities. Conduct appropriate tests to determine if asymptotes...

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x+7x+10 (x-3)(x+2) 6. Check the function g(x) for discontinuities. Conduct appropriate tests to determine if asymptotes exist at the discontinuity values. State the equations of any asymptotes and the domain of g(x). 7. The concentrations of two medicines in the bloodstream hours after injection are c (t) = te-t and c(t) = te-t. a. Which medicine has the larger maximum concentration? b. Within the first half hour, which medicine has the larger maximum concentration? 8. The vectors (4, 1,7), (-1, 1,6)and (p,q, 5) are coplanar. Determine three sets of values for p and q for which this is true. 9 9. Calculate the values of a,b and c in 2(a, b, 4)+(6,8,c)-3(7.c.-4)= (-24,3,25). to B. 10. Show that the vector a = (5,9,14) can be written as a linear combination of the vectors band & where b=(-2,3,1) and 2 = (3, 1,4). Explain why a lies in the plane determined by b and c. 11. A mass of 10 kg is suspended by two pieces of string, 30 cm and 40 cm long, from two points that are 50 cm apart and at the same level. Find the tension in each piece of string. 12. Show that the points A(6, -2, 15)and B(-15,5,-27) lie on the line that passes through (0, 0, 3) and has the direction vector (-3,1,-6). Use parametric equations with suitable restrictions on the parameter to describe the line segment from A x+7x+10 (x-3)(x+2) 6. Check the function g(x) for discontinuities. Conduct appropriate tests to determine if asymptotes exist at the discontinuity values. State the equations of any asymptotes and the domain of g(x). 7. The concentrations of two medicines in the bloodstream hours after injection are c (t) = te-t and c(t) = te-t. a. Which medicine has the larger maximum concentration? b. Within the first half hour, which medicine has the larger maximum concentration? 8. The vectors (4, 1,7), (-1, 1,6)and (p,q, 5) are coplanar. Determine three sets of values for p and q for which this is true. 9 9. Calculate the values of a,b and c in 2(a, b, 4)+(6,8,c)-3(7.c.-4)= (-24,3,25). to B. 10. Show that the vector a = (5,9,14) can be written as a linear combination of the vectors band & where b=(-2,3,1) and 2 = (3, 1,4). Explain why a lies in the plane determined by b and c. 11. A mass of 10 kg is suspended by two pieces of string, 30 cm and 40 cm long, from two points that are 50 cm apart and at the same level. Find the tension in each piece of string. 12. Show that the points A(6, -2, 15)and B(-15,5,-27) lie on the line that passes through (0, 0, 3) and has the direction vector (-3,1,-6). Use parametric equations with suitable restrictions on the parameter to describe the line segment from A