1
GATE CE 2024 Set 2
Numerical
+2
-0
The expression for computing the effective interest rate $(i_{eff})$ using continuous compounding for a nominal interest rate of 5% is
$i_{eff} = \lim\limits_{m \to \infty} \left(1 + \frac{0.05}{m}\right)^m - 1$
The effective interest rate (in percentage) is ___________ (rounded off to 2 decimal places).
Your input ____
2
GATE CE 2023 Set 1
MCQ (More than One Correct Answer)
+2
-0
For the function f(x) = ex |sin x|; x ∈ ℝ, which of the following statements is/are TRUE?
3
GATE CE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider the following definite integral
$$${\rm I} = \int\limits_0^1 {{{{{\left( {{{\sin }^{ - 1}}x} \right)}^2}} \over {\sqrt {1 - {x^2}} }}dx} $$$
The value of the integral is
The value of the integral is
4
GATE CE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The tangent to the curve represented by $$y=x$$ $$ln$$ $$x$$ is required to have $${45^ \circ }$$ inclination with the $$x-$$axis. The coordinates of the tangent point would be
Questions Asked from Calculus (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Levelling Traversing Theodolites and Plane Table Surveying Measurement of Area, Volume and Theory of Errors and Survey Adjustment Field Astronomy and Photogrammetric Surveying Basics of GIS, GPS and Remote Sensing Angular Measurements and Compass Survey Basic Concepts Linear Measurements and Chain Survey
Engineering Mechanics
Hydrology
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Origin of Soils Definitions and Properties of Soils Classification of Soils and Clay Mineralogy Effective Stress and Permeability Seepage Analysis Compaction of Soil Compressibility and Consolidation Shear Strength of Soil Stress Distribution of Soil Retaining Wall and Earth Pressure Stability of Slopes Shallow Foundation Pile Foundation Soil Stabilization
Fluid Mechanics and Hydraulic Machines
General Aptitude