Maharashtra HSC Mathematics & Statistics - Arts & Science (MSBSHSE) case studies
Maharashtra HSC Mathematics & Statistics - Arts & Science (MSBSHSE) · Put your knowledge to work in context.
The Maharashtra HSC Mathematics & Statistics (Arts & Science) paper is the state-board Class 12 mathematics examination taken by students in the Arts and Science streams under MSBSHSE. It is a school-leaving and university-entrance credential: results feed directly into degree admission, so a strong score in this paper matters well beyond the certificate itself. The syllabus is broad rather than deep. It moves from differentiation and its applications through integration, differential equations, vectors and three-dimensional geometry, linear programming, mathematical logic and matrices, probability distributions including the binomial distribution, and statistics covering dispersion, skewness and bivariate data. The Maharashtra HSC Mathematics & Statistics - Arts & Science (MSBSHSE) case studies are 5 cases and about 1,788 words.
1Bulk-Discount Revenue Kink at 200 Blades
Vidarbha Agro Tools sells a spare blade in lots. For orders up to 200 blades, revenue is R(x)=120x rupees.
416 words, about 2 min2Reservoir Inflow Over an Eight-Hour Window
A municipal water reservoir is filled by a pump whose inflow rate is monitored over an 8-hour maintenance window. From t=0 to t=4 hours, the rate is r(t)=3+2t kilolitres per hour.
372 words, about 2 min3Drone Path, Tower Shadow and Skew Flight Lines
A survey drone follows a straight path modelled by L1: r=(1,2,3)+t(2,-1,2), t∈R, with distances in tens of metres. A communication tower stands at P(5,0,1).
287 words, about 1 min4Bakery Production Plan Under Three Resource Limits
A Nagpur bakery makes two cake varieties: chocolate (x trays) and vanilla (y trays) per day. Flour limits production by 2x+y≤80 kg-equivalent units; eggs by x+y≤50; labour by x+2y≤80.
349 words, about 2 min5Resistor Lot Acceptance Under a Binomial Sampling Rule
A Pune electronics supplier receives resistors in large lots. The contract says a lot is accepted if a random sample of 12 resistors contains at most one defective.
364 words, about 2 min