1

KCET 2021

MCQ (Single Correct Answer)

+1

-0

The cost and revenue functions of a product are given by $$c(x)=20 x+4000$$ and $$R(x)=60 x+2000$$ respectively, where $$\mathrm{x}$$ is the number of items produced and sold. The value of $$x$$ to earn profit is

2

KCET 2021

MCQ (Single Correct Answer)

+1

-0

A particle starts form rest and its angular displacement (in radians) is given by $$\theta=\frac{t^2}{20}+\frac{t}{5}$$. If the angular velocity at the end of $$t=4$$ is $$k$$, then the value of $$5 k$$ is

3

KCET 2021

MCQ (Single Correct Answer)

+1

-0

The function $$f(x)=x^2-2 x$$ is strictly decreasing in the interval

4

KCET 2021

MCQ (Single Correct Answer)

+1

-0

The maximum slope of the curve $$y=-x^3+3 x^2+2 x-27$$ is

Questions Asked from Application of Derivatives (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

KCET Subjects

Physics

Mechanics

Units & Measurement and Dimensions Motion Laws of Motion Circular Motion Work, Energy and Power Center of Mass and Collision Rotational Motion Gravitation Simple Harmonic Motion Fluid Mechanics Elasticity Waves Heat and Thermodynamics

Optics

Electromagnetism

Electrostatics Current Electricity Capacitor Moving Charges and Magnetism Magnetism and Matter Electromagnetic Induction Alternating Current Electromagnetic Waves

Modern Physics

Chemistry

Physical Chemistry

Some Basic Concepts of Chemistry Atomic Structure States of Matter Thermodynamics Chemical Equilibrium Ionic Equilibrium Liquid Solution Redox Reactions Surface Chemistry Solid State Electrochemistry Chemical Kinetics

Inorganic Chemistry

Periodic Table and Periodicity Chemical Bonding and Molecular Structure Hydrogen and It's Compounds s-Block Elements p-Block Elements d and f Block Elements Metallurgy Coordination Compounds

Organic Chemistry

Mathematics

Algebra

Logarithms Quadratic Equations Sequences and Series Permutations and Combinations Probability Sets and Relations Binomial Theorem Vector Algebra Three Dimensional Geometry Matrices and Determinants Statistics Mathematical Reasoning Linear Programming Complex Numbers

Trigonometry

Trigonometric Ratios & Identities Trigonometric Equations Inverse Trigonometric Functions Properties of Triangles

Calculus

Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations

Coordinate Geometry