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konika23
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konika23
Asked: January 30, 2025In: Class 12 Maths

In a sphere the rate of change of volume is

A sphere is a perfectly round three-dimensional geometric shape where every point on its surface is equidistant from its center. Defined by its radius it has no edges or vertices. Spheres are widely used in physics and engineering and geometry ...

applications of derivativesclass 12 mathssphere
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konika23
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konika23
Asked: January 30, 2025In: Class 12 Maths

If V = 4/3 πr³, at what rate in cubic units is V increasing when r = 10 and dr/dt = 0.01?

Cubic units measure the volume of a three-dimensional object, representing the space it occupies. A cubic unit is the volume of a cube with sides of one unit length, such as 1 cm³ or 1 m³. It is widely used ...

applications of derivativesclass 12 mathscubic units
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konika23
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konika23
Asked: January 30, 2025In: Class 12 Maths

The function f(x) = tan x – x

A function in mathematics is a relation that assigns each input from a set (domain) exactly one output from another set (codomain). It represents how one quantity depends on another. Functions are expressed algebraically graphically or through tables and are ...

applications of derivativesclass 12 mathsfunction
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konika23
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konika23
Asked: January 30, 2025In: Class 12 Maths

For all real values of x, the function f(x) = |x| is

Real values refer to all numbers on the number line, including rational and irrational numbers. They represent quantities that can exist in the real world, such as measurements, distances, and physical properties. Real values are used to solve equations, model ...

applications of derivativesclass 12 mathsreal values
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konika23
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konika23
Asked: January 30, 2025In: Class 12 Maths

The function f(x) = x³ – 3x² – 9x – 7 has a stationary point at

A stationary point is a point on a curve where the derivative of a function is zero. It shows where the slope of the tangent becomes zero and the function is neither increasing nor decreasing. Stationary points can be local ...

applications of derivativesclass 12 mathsstationary point
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