Which of the following expressions gives the length of the curve defined by R(t) = t²i-j+Intk between the point (1,-1,0) and (e², -1, 1)? a. Se 4t² + dt V b. ₁ √√² + 1 + In tdt C. So √√4t² + /dt V d. ₁² √2t+In tdt

Q: Find the points on the curve t² 16t+ 6, y X = = A. a horizontal tangent line B. a vertical tangent…

A: Given the curve is x=t2-16t+6  and y=t2+4t+3

Q: Evaluate [(y² - 4xy, 2xy - 2x²). C where C is the line from (0, 0) to (1,5) followed by the line…

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Q: Find the distance between the point (0, 4, -1) and the line defined by r(t) = +t

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Q: Calculate (4x² + Se) dy, where C is the triangle of vertices (0,0), (2,0) and (2,2). [(4x²+ Note:…

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Q: 4. A particle moves in a straight line so that after t sec. it is S m.,from a fixed point O on the…

A: STEP 1:Given that,A particle moving in a straight line,S=t4+3t2we know that, velocity =…

Q: 6a) Let A be the parabolic arc defined by the equation y = 8x – x´ over the domain interval [0, 8].…

A: (a) Consider the given function. y=8x-x2 Now, draw the above function by using the calculator.