Evaluate (2x+2y)ds if the curve C is given by F(t)=(2t²)ī +(1²)j, 0≤t≤1.

Q: Find the abscissa of the point on the graph of y=V 2x – 1 that is parallel to the line 2x - y+1=0

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Q: b. Enclosed by the curves y² = 4x + 4 and the line y = 4x – 16.

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Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

A: We have to find the value of x if dydx=6x2-2x and the curve passes through the point (1,5).…

Q: Trace the curve x3y − x − 1 = 0.

A: Given, The curve x3y-x-1=0 We have to trace the curve.

Q: Describe the curve generated by x = 3 + 2t, y = -12 - 6t, for - ∞ < t < ∞.

A: Given: x=3+2t y=-12-6t            - ∞ < t < ∞ To find: curve generated by given functions.

Q: 3. Trace the curve: y² = x³ + 4x² - 9x - 36

A: The given problem is to trace the given curve. Given curve y2=x3+4x2-9x-36

Q: Identify and sketch the curve for x2+25y2-4x+100y + 4 = 0

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Q: Find the slope of the curve y = 2x3 - 3x2 - x +5 at (2,– 1)

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Q: Find the slope of the curve x2 + y3 = 2 at each point wherey = 1

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Q: Find the set of values of y=2x+k meets the curve y=1+2kx-x² at 2 distinct points?

A: Given: y=2x+kat 2 distinct points

Q: Find the length of the curve y=7x-13 between y=-6 and y=15.

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Q: What is the slope of the curve y= 2 over √x at the point (4,1)

A: To find the slope at a particular point x=a, the first derivative of the function is taken. Once the…