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Smooth Curve - Three Dimensional Space
A smooth curve is a curve for which →r' (t) is continuous and →r' (t) ≠ 0 for any t except probably at the endpoints. A helix is a smooth curve, for instance.
At last, there is requirement of discuss integrals of vector functions. By using both limits and derivatives like a guide it shouldn't be too surprising that we as well comprise the following for integration for indefinite integrals
∫ r→ (t) = {∫ f (t)dt, ∫g (t)dt, ∫ h(t) dt} + c→
∫ r→ (t) = ∫ f (t)dt i→ + ∫g (t)dt j→ + ∫ h(t) dt} k→ + c→
and the following for definite integrals.
∫ba r→ (t) dt = {∫ba f (t) dt, ∫ba g (t) dt, ∫ba h(t) dt}
∫ba r→ (t) dt = ∫ba f (t) dt i→ + ∫ba g (t) dt j→ + ∫ba h(t) dt k→
Along with the indefinite integrals we put in a constant of integration to ensure that it was clear that the constant in this case requires being a vector in place of a regular constant.
Write Prim's Algorithm. Ans: Prim's algorithm to find out a minimum spanning tree from a weighted graph in step by step form is given below. Let G = (V, E) be graph and S
Q. Define Period, Amplitude and Phase Shift? Ans. Period, amplitude and phase shift are used when describing a sinusoidal curve The period of a function is the smallest
ogive for greater than &less than curves
107*98
The sum of the diameters of two circles is 2.8 m and their difference of circumferences is 0.88m. Find the radii of the two circles (Ans: 77, 63) Ans: d 1 + d 2 = 2.8 m=
I need help with my calculus
how do i turn a decimal into a fraction
1.) How does the monsoon influence the climate and vegetation of Southeast Asia? 2.) What is the main crop in Southeast Asia and the main systems by which it is produce? How and
The following exercises may help you to look more closely at the activities done above. E1) Why did the two dice game become more difficult? E2) Do you find the activities in
Example of Integration by Parts - Integration techniques Illustration1: Evaluate the following integral. ∫ xe 6x dx Solution : Thus, on some level, the difficulty
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