Find the definite Integral exactly Suppose that v(:) = / 4- (1– 2)² tells us the 3 instantaneous velocity of a moving object on the interval 0

Q: Convert the polar point (3, 47T/3) to an equivalent polar point where r <0 and 0 <0 < 2T. O A.…

A: given polar form of a  point is                                                           P=3, 4π3…

Q: Cos t dt. 2. Find the derivative of g(r) = :-

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Q: Suppose an object is moving along a line such that the acceleration after t seconds is 6t -8t…

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Q: a - Find h (Stet sinh t sint dt)

A: The objective is to find ∫te-3tsintsinhtdt It is known that, sint=et-e-t2isinht=eit-e-it2…

Q: Suppose the high tide in Seattle occurs at 1:00 a.m. and 1:00 p.m. at which time the water is 16…

A: The high tide in Seattle occurs at 1:00 a.m. and 1:00 p.m. at which time the water is 16 feet above…

Q: True or False The velocity of a particle whose position at time t is s(t) is the derivative s′(t).

A: Our Aim is to tell whether the statement the velocity of a particle whoseposition at time t is s(t)…

Q: The function W'(t) = 16t² – 144t + 328 L measures the RATE at which water is flowing through a pipe…

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Q: The power P (in W) in an electric circuit is the product of the voltage V and the current I (in A).…

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Q: 5 The position of a particle in the xy-plane at time t is r(t) = ¹ + 4. Find an equation in x and y…

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Q: Find the derivative of: - R(t) = (sin² (3t+1), ln(t² − 1), ²) +1

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Q: 2. A particle is moving according to the position function s(t) = - 2t3 – 6t² + 9t, where s is in mm…

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.