Find the arclength of y=3×2+3 on 0≤x≤1. Round your answer to three decimal places.

The doubly charged ion N2+ is formed by removing two electrons from a nitrogen atom. What is its ground-state electron? [Ans1] Estimate the energy (in eV) of the least strongly bound level in its L shell? [Ans2]

∫ 7xe4xdx =

Find the word done for a force F=36×2 N from x=1 to x=6 m. Round your answer to the nearest whole number.

Evaluate ∫-ππcos2(7x)dx. Round your answer to four decimal places.

Solve the following initial value problem: If dydt=5t and y(0)=-6, then y= ________________

Find the partial fraction decomposition of ∫11×2-13x+10(x2+5)(x-3)dx

Suppose that R is the finite region bounded by y=x, y=x+1, x=0, and x=5. Round your answer to four decimal places.

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At ASU graduation during the festivities, your great aunt brings a potato salad to share.  Your auntie put the potato salad on a picnic table in the hot sun at 4:00 pm. With your special training in bacterial population ecology, you estimate the population size of bacteria in this dish to be 1500 cells (E. Coli) at 4:30 pm and 3000 cells at 5:30 pm.  Able to replicate in one hour,  how many bacteria will be there by 7:30 pm?  (two growth cycles after the 5:30 pm count). Select only ONE answer choice.  Hint: because this is a population that has just started growing (without an immediate carrying capacity) you should use exponential growth model.