Find the arc length traced out by the endpoint of the vector-valued function 7(t) = t cos t î + t sint ĵ -÷(2t)ž k; 0 st< 2n 3

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Q: 1. Find the approximate area of the region bounded by the curves (x) and g(x) = x* - x. Give + 1…

A: We have to find the area between the given curves.

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A: Use limit concept

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A: The given integral,     ∫13xx2+9dx, n=5

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A: topic - circles and  angles

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Q: 1 - x dx. Evaluate: e + x

A: ∫1-xex+xdx=-∫x-1ex+xdx                     =-∫ex+x-1-exex+xdx                     =-∫1-1+exex+xdx…

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Q: Identify whether the statement represents an exponential function. The value of a coin collection…

A: Rate of value increased=3.25Time=20 years

Q: n! 00 is 2.5.8....(3n+2) Zn=1 а. 3 b. 5 с. d. 3.

A: For the following problem,

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Q: (a) Sketch a graph of a function f such that: o f' 0 and f" > 0, for x > 3. (b) Does the graph of…

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Q: B. A certain culture is able to sustain 100 colonies of bacteria. Initially, there were 10 colonies…

A: We need to find colonies after 24 hours.

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Q: L(e2t t2)

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Q: d" y If y= cos x, then d x5 (A) -sin x (B) sin x (C) -cos x (D) cos x

A: This is a problem related to differentiation of the function. Based on the general formula and…

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A: Option (e) (-∞,-1) and (0,∞)

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A: Parameterize the xy plane and find limits of triple integral then evaluate the above integral.

Q: Let f(r, y) = - 4

A: This is a problem related to function calculation. Based on the formula and concept we will find the…

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Q: eventually

A: We will solve the problem.

Q: Question #3 C8: “Find the derivative of a function using a combination of Product, Quotient and…

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Q: a is the value that will make the equation exact. Fincd 2a -a?. 2xy3- 3y - ( x tax²y² - 2ay) y'• O

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A: Given

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A: The integration of the integral is  ln(x)/[x(ln4x -1)] limit from e2 to e3.

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A: Let's find.

Q: * Find dy for the following function: O In 2X e 4. - 23+ 1 |

A: Note: As per our guidelines, we are restricted to solve only one question. Please upload separately…

Q: 4 a Evaluate In 3. b On the axes below, sketch the graph of y = Inx -3 -2 -1 2 3 -2 -3 The graph y =…

A: This is a problem of the function. Based on the formula and concepts we will answer the question.

Q: 3/2 X+ dx

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Q: -1 34 -30 10

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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A: Given that a survey of 48 people was conducted to compare their self-reported height to their actual…

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A: Topic = Area Correct option = A

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Q: Find the area of the region that lies outside the circle r = 3 cos and inside the cardioid r = 1+…

A: Given r=3cosθr=1+cosθ

Q: The weekly demand for the PULSE 25 LED TV is р 3 600 — 0.05х, 0 < x < 12000, where p denotes the…

A: The weekly demand for the PULSe 25 LED TV is p=600-0.05x0≤x≤12000, where p denotes the wholesale…