The equation of a curve is y = 4Vx+ Vx dy (i) Obtain an expression for dr (ii) A point is moving along the curve in such a way that the x-coordinate is increasing at a constant rate of 0.12 units per second. Find the rate of change of the y-coordinate when x = 4.

Q: 8. Determine whether v(x) = r'+3|x| even, odd or neither. Discuss its symmetry.

A: Q8) Given: v(x)=x3+3x  

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A: I am attaching image so that you understand each and every step.

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A: Follow the procedure given below.

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A: We have to find the length of curve.

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A: NOTE: Refresh your page if you can't see any equations. . for simplicity interchange the variables

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A: By Cylinder Coordinate System we solve the above question.

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A: Topic:- calculus

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A: We need to determine whether given integral is divergent or convergent. ∫2∞5(x+6)19dx

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A: Topic = Integration

Q: Find a second-degree polynomial P such that P(1) = 1, P'(1) = 2, and P''(1) = 4.

A: To be found-   A second-degree polynomial P such that P(1) = 1 P'(1) = 2 and P''(1) = 4.

Q: if r = -1 Is f(r) = · continuous at r= - -1? (Show your work using limits.)

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

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A: Topic. = Volume

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Q: If f(x) = 4, find f'(- 11).

A: The given function is:fx=4To find f'-11

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A: h(t) =-16t2-30t+600diff w.r.t  "t"dhdt=-16(2t)-30+0dhdt=-32t-30 ⇒ v(t) =-32t-30 ; t1=1,t2=3  

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A: The given limit,      limx→34x-3=9

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A: We can find the limit as below

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A: Simply differentiate and put all the values.

Q: valuate the integral in the image below.

A: To evaluate:∫02π∫01∫r12-r23dzrdrdθ

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Q: evaluate the integral of " [(x^2)+1] / [(3x+1)^0.5] "

A: The given integral,        ∫x2+13x+1dx

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Q: Evaluate the limit, if it exists. If a limit does not exist, type "DNE". V4 + h - 2 lim h>0

A: