प्राकृतिक भुगोलाचा अर्थ स्वरूप आणि व्याप्ती यांची चर्चा करा.
प्राकृतिक भूगोल ही भूगोलाची एक प्रमुख शाखा आहे, ज्यामध्ये पृथ्वीचे नैसर्गिक पर्यावरण, भौतिक घटक आणि त्यांच्यात होणाऱ्या प्रक्रियांचा
Question 4: D'Alembert's Principle on Elevator / Lift
Given: Weight W = 1960 N, g = 9.81 m/s2. Mass m = 1960 / 9.81 = 199.8 kg (approx 200 kg using g = 9.8 m/s2).
D'Alembert Equation: Tension T = m*(g + a) for upward accel / downward decel, and T = m*(g - a) for downward accel / upward decel.
Moving UP with acceleration a = 2 m/s2: T = 1960 + (200 * 2) = 2360 N
Moving UP with deceleration a = 1.5 m/s2: T = 1960 - (200 * 1.5) = 1660 N
Moving DOWN with acceleration a = 2 m/s2: T = 1960 - (200
नाटक' या साहित्य प्रकाराच्या व्याख्या स्पष्ट करून शोकात्मिका' या नाट्य प्रकारची सविस्तर माहिती लिहा
नाटक हा वाङ्मयाचा (साहित्याचा) असा एक एकमेव प्रकार आहे, जो केवळ वाचण्यासाठी नसून प्रामुख्याने
Q1. DEFINE IKS & ANALYZE EACH WORD
Definition: The Indian Knowledge System (IKS) refers to the systematic, continuous, and empirical stream of knowledge traditions developed, tested, and transmitted in the Indian subcontinent across millennia. It spans mathematics, science, medicine, architecture, philosophy, and governance.
Word-by-Word Analysis:
Indian (Bharatiya): Refers to the indigenous origin within the geographical, cultural, and ecological landscape of ancient India (Bharatvarsha).
Cerebrum – conscious thought, memory, sensation, voluntary movement
Diencephalon – thalamus, hypothalamus, epithalamus
Brainstem
Midbrain
Pons
Medulla oblongata
Cerebellum – balance, posture, coordination
Memory Trick: CDBC
(Cerebrum → Diencephalon → Brainstem → Cerebellum)
4 Ventricles
Right lateral ventricle
Left lateral ventricle
Third ventricle
Fourth ventricle
How To Rend:
1. Decide the Effect of your Rending, and mix and match according to Concept descriptions. Lightning Bolt/Fireball = Forces 3/Prime 2, Dimension Door = Correspondence 3.
2. Make Individuality Test. Base DC = 10 + ((Dominant Concept Rank - 1) x 2) + (5 x No. of Secondary Concepts) + (Secondary Concept Ranks - No. of Secondary Concepts). DC is modified based on described situations in Difficulty Modifier column. Roll is modified based on described situations in Individuality Modifier...
MACHINE LEARNING — EXAM CHEAT SHEET
Built from your notes' Model Question Paper — the exact questions likely to repeat
Q1(a). What is Machine Learning? Applications? [4M]
Definition: field where computers learn patterns from data/experience instead of being explicitly programmed for every rule.
Mitchell's formal definition: a program learns from experience E w.r.t. task T and performance measure P, if performance on T (measured by P) improves
Theory & General Method:
Characteristic Equation: det(A - λ*I) = 0 For a 3x3 matrix: λ3 - S1*λ^2 + S2*λ- |A| = 0
S1 = Trace of A (sum of diagonal elements)
S2 = Sum of principal minors = |a22 a23; a32 a33| + |a11 a13; a31 a33| + |a11 a12; a21 a22|
|A| = Determinant of matrix A
1.Solve the cubic equation for roots (λ1, λ2, λ3).
2.Pick the largest numerical value for λ_max.
3.Solve (A - λ_max*I) X = 0 using row reduction or simultaneous equations to find
Preparation & Applications of Poly(methyl methacrylate) (PMMA)
PMMA (Polymethyl Methacrylate/Acrylic Glass) is prepared by addition polymerisation (free radical mechanism) of Methyl Methacrylate (MMA) monomer using benzoyl peroxide initiator at 60°C–80°C.
Reaction: n[CH2=C(CH3)COOCH3] --Peroxide-Δ->,[-CH2-C(CH3)(COOCH3)-]n. Peroxide decomposes into free radicals, opening the double bond of MMA to form a linear polymer chain.
Properties: High optical clarity (92% light transmission,