Sequences & Series Questions and Answers

10 a 1 x 1 x D x 1 x 1 1 x 1 x 1 1 x 1 x 1 x 1 x 1 d x 1 x 1 x 1 1 x 1 Find the Taylor polynomial P4 for f x In x at xo 1 b c x 1 x 1 I

Which of the following series is conditionally convergent co O A OB 1 B 1 8 A 1 00 1 n 2n 3 n 1 4 1 sin C 1 00 In n n 1 0015 n 1 n 7 n n 2 D F1 E Both C and D

Problem The aquarium has 10 more red fish than blue fish 60 of the fish are red How many blue fish are in the aquarium

Part 2 of 2 Give the domain and range of the quadratic function whose graph is described The vertex is 6 8 and the parabola opens up The domain of fis 0 00 Type your answer in interval notation Type your answer in interval notation The range of the function is

Find the inverse function of f x 4x 5 The inverse function f x

Homing pigeons avoid flying over large bodies of water preferring to fly around them instead Assume that a pigeon released from a boat 5 miles from the shore of a lake point B in the figure flies first to point P on the shore and then along the straight edge of the lake to reach its home at L If L is 10 miles from point A the point on the shore closest to the boat and if a pigeon needs as much energy per mile to fly over water as over land find the location of point P which minimizes energy used 5 miles Point P is miles away from point A Type an exact answer using radicals as needed

Determine which three out of the six points shown below are a solution to the equation 3x y 6 Plot the three points that are in the solution set draw a line through the three points and then answer the questions below 5 9 1 9 4 6 3 3 6 6 7 3 Plot three points by clicking You can delete a point by clicking it 10 9 8 543 2 1 y 10 9 8 7 10 6 10 3 2 1 1 2 3 2 5 6 7 8 9 1 5 6 7 8 9 10

What is the error term in the approximation f x f x 2h 3 f x 4f x h 2 h

d e C 6 9 erle X 6 14 10 30 CHECK C Check x

2 Homework Solve the equation with rational expone x 6 3 2 27

Assume the consumption of electricity is increasing at 3 per year If it continues to increase at this rate indefinitely find the number of years befor the electric utilities will need to double their generating capacity The electric utilities will need to double their generating capacity in about Round to the nearest year as needed years

13 of 15 Determine the equation of the oblique asymptote of the function 2x 5x12 f x x 3 Oy x 11 Oy 2x 11 y 2x 1 O Oy x 1 N

x Clear Solve Undo 4 x 7 9 Redo

Holly Krech is planning for her retirement so she is setting up a payout annuity with her bank She wishes to receive a payout of 1 700 per month for twenty years Round your answers to the nearest cent a How large a monthly payment must Holly Krech make if she saves for her payout annuity with an ordinary annuity which she sets up thirty years before her retirement The two annuities pay the same interest rate of 7 8 compounded monthly b How large a monthly payment must she make if she sets the ordinary annuity up twenty years before her retirement

cts Restaurant Food Truck A restaurant has a main location and a traveling food truck The first matrix A shows the number of managers and associat The second matrix B shows the average annual cost of salary and benefits in thousands of dollars Complete parts a thr Managers Associates 4 A Salary Benefits 8 4 2 Question 14 6 5 51 BE Part 2 of 4 a Find the matrix product AB AB 720 128 245 44 24 7 Simplify your answer Managers Associates HW Score 79 17 14 25 points Points 1 25 of 5 CITE 42 23 1 8 B b Explain what AB represents Choose the correct answer below OA Row 1 of AB represents the restaurant and row 2 represents the food truck Column 1 of AB repre benefits in thousands and column 2 represents total salary in thousands for all employees OB Row 1 of AB represents the food truck and row 2 represents the restaurant Column 1 of AB repre salary in thousands and column 2 represents total benefits in thousands for all employees OC Row 1 of AB represents the food truck and row 2 represents the restaurant Column 1 of AB repre benefits in thousands and column 2 represents total salary in thousands for all employees OD Row 1 of AB represents the restaurant and row 2 represents the food truck Column 1 of AB repre salary in thousands and column 2 represents total benefits in thousands for all employees

Decide if the following series converge or diverge SPECIFY the TEST you are using then JUSTIFY your answer using that test 1 5 pts n 1 2 n nn TEST ANS