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What is the relationship between the Green's Theorem Divergence Theorem and Stoke's Theorem?
GREEN'S THEOREM: if m=m(x,y) and n= n(x,y) are the continuous functions and also partial differential in a region 'r' of x,y plane bounded by a simple closed curve c. DIVERGENCE THEOREM: if f is a vector point function having continuous first order partial derivatives in the region v bounded by a closed curve s
How many real solutions does a cubic equation have?
A cubic has from 1 to 3 real solutions. The fact that every cubic equation with real coefficients has at least 1 real solution comes from the intermediate value theorem. The discriminant of the equation tells you how many roots there are.
What are derivatives and their uses?
derivatives are the functions required to find the turning point of curve
What is spatial derivatives?
They are derivatives with respect to measures in space: normally length, area or volume.
Need for derivatives?
Yes.
Can derivatives be viewed as investment intruments?
Yes. Derivatives are instruments of investment for the knowledgeable financial people. Novice and intermediate investors should keep away from derivatives.
What does the IVT acronym stand for?
The acronym "IVT" stands for something. It stands for Intermediate Value Theorem. This is a mathematical formula that can be used to solve an equation.
What does the intermediate value theorem tell us about the continuity of a function in Calculus?
The Intermediate Value Theorem states that if a function ( f ) is continuous on a closed interval ([a, b]) and takes on values ( f(a) ) and ( f(b) ), then it also takes on every value between ( f(a) ) and ( f(b) ) at least once within that interval. This theorem underscores the importance of continuity, as it guarantees that there are no "gaps" in the function's outputs over the interval. In essence, if a function is continuous, it will smoothly transition through all values between its endpoints.
What is the significance of the intermediate axis theorem in the study of rotational motion and stability?
The intermediate axis theorem is important in the study of rotational motion and stability because it explains the behavior of an object rotating around its intermediate axis. This theorem helps predict how objects will rotate and maintain stability, especially in situations where the rotation is not around the principal axes. Understanding this theorem is crucial for analyzing the motion and stability of rotating objects in various scenarios.
What does the pythagoerean theorem?
the Pythagorean theorem helps find the value of the longest side in a right triangle if you know the value of the base and the height.
What is true of the value of an intermediate reaction?
It is multiplied by 2 if the intermediate reaction is multiplied by 2
How can you use the initial value theorem to solve for the initial slope of a function?
I suggest: - Take the derivative of the function - Find its initial value, which could be done with the initial value theorem That value is the slope of the original function.
What is rolles theorem in derivatives?
If a function is continuous on [a, b], differentiable on (a, b), and it is zero at a and b (f(a) = 0 and f(b) = 0), then there must be some value c such that a < c < b where the derivative is zero (means the tangent line above or below c will be a horizontal tangent).
What does calculus have in it?
Basic calculus is about the study of functions. The two main divisions of calculus are differentiation and integration. Differentiation has to do with finding the tangent line to a function at any given point on the function. Integration has to do with finding the area under (or above) a curve. Other topics covered in calculus include: Differential equations Approximations of functions (linear approximation, series, Taylor series) Function analysis (Intermediate Value Theorem, Mean Value Theorem)
What is the relationship between the Green's Theorem Divergence Theorem and Stoke's Theorem?
GREEN'S THEOREM: if m=m(x,y) and n= n(x,y) are the continuous functions and also partial differential in a region 'r' of x,y plane bounded by a simple closed curve c. DIVERGENCE THEOREM: if f is a vector point function having continuous first order partial derivatives in the region v bounded by a closed curve s
How many real solutions does a cubic equation have?
A cubic has from 1 to 3 real solutions. The fact that every cubic equation with real coefficients has at least 1 real solution comes from the intermediate value theorem. The discriminant of the equation tells you how many roots there are.
Verify lagrange's mean value theorem for the function fx sinx in the interval 01?
Lagrang Theorem was discvered in 2008 by Yogesh Shukla
