Find the partial sum s_5 of the series sigma_n = 1^infinity 5/n2^n. (round your answer to five decimal places.) estimate the error using the formula below. (round your answer to five decimal places.) r_n lessthanorequalto a_ n + 1/1 - lim_n rightarrow infinity a_n + 1/a_n using the formula from part (b), find a value of n so that sn is within 0.5 of the sum. use this value of n to approximate the sum of the series. (round your answer to six decimal places.)

Convert the cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation. choices: r4 = -4r2 r2 = 4cos2θ r2 = 4sin2θ

If n stands for number sold and c stands for cost per item, in which column would you use the formula: ? a. column d c. column f b. column e d. column g

Ican interpret and represent the remainder in division calculations sensibly for the context (eg if we wont to know how many 40 seat buses will be needed to transport 170 students for on excursion, we divide 170 by 40 and realise buses and another smaller vehicle to that we need 4 transport 10 more students) solve the following questions. show your work! 11) the zoo had 420 butterflies that needed to be transported to a new enclosure. the boxes that the butterflies would be moved in only hold 80 butterflies in each. how many boxes would they need? 2 12) each classroom in the school can have exactly 25 students, if there are 345 students in the school how many full classrooms are there?