Nervous Coordination and Integration Summary
. The path along which the impulses travel in a reflex are called the reflex arc. There are five sense organs in humans - eyes, ears, nose, tongue and skin. Eyes are the visual sensory organs. They are equipped with the photoreceptors called the rods and cones. Each eye is a spherical str..
Integration using trigonometric identities
When the integrand consists of trigonometric function, we use suitable trigonometric identities to simplify the function so that it can be integrated. Few identities are given below for ready reference. (1) (2) (3) (4) (5) (7) (..
When the integrand consists of trigonometric function, we use suitable trigonometric identities to simplify the function so that it can be integrated. Few identities are given below for ready reference. (1) (2) (3) (4) (5) (7) (..Indefinite Integrals as Antiderivative
Indefinite Integrals as Antiderivative - Consider the following example: Let f(x) = cos 3x, let us find a function F(x) such that We know that Here In other words we say the integral cos 3x is Suppose then also we ha..
Indefinite Integrals as Antiderivative - Consider the following example: Let f(x) = cos 3x, let us find a function F(x) such that We know that Here In other words we say the integral cos 3x is Suppose then also we ha..Definite Integral as a Limit of Sum
Definite Integral as a Limit of Sum - Let f be a continuous non-negative function defined on a closed interval [a, b]. Since the value of the function is non-negative, the graph of the function is a curve above X-axis. Let the graph of the curve be as shown in the figure.Let f be a contin..
Definite Integral as a Limit of Sum - Let f be a continuous non-negative function defined on a closed interval [a, b]. Since the value of the function is non-negative, the graph of the function is a curve above X-axis. Let the graph of the curve be as shown in the figure.Let f be a contin..Integrated Rate Equation For First Order Reaction
The integrated rate equation can also be written in the form, This equation shows that the concentration of the reactant decreases exponentially. From the equation it can be seen that if ln[A] is plotted against t, a straight line is obtained with the slope equal to (-k..
Some Applications of Binomial Theorem for Positive Integral Index
n C 0 , n C 1 , ..... n C n are called binomial coefficients. n C 0 , n C 2 n C 4 , ..... are called even binomial coefficients. n C 1 , n C 3 , n C 5 .... are called odd binomial coefficients. In case of no ambiguity, the binomial coefficients n C 0 , n C 1 , .....
Question 5
Question: What are Biosphere reserves? Answer: Biosphere reserves are multipurpose protected areas with major objectives such as: Conservation of diversity and integrity of plants Promotion of ecological conservation Creation of awareness about environmental aspects and..
Evaluate the definite integral ∫02(5 + x) dx.
Evaluate the definite integral ∫ 0 2 (5 + x ) dx . => 1 or 0 or 12 or - 12 or 2..
Evaluate the integral by using the reduction formulas.∫ (ln x)5dx
Evaluate the integral by using the reduction formulas. ∫ (ln x ) 5 dx => I or IV or II or III or V..
What integral values of x satisfy the equation x2 = 16?
What integral values of x satisfy the equation x 2 = 16? => 4, - 4 or - 4 or 16 or 5, - 5..
Result
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