x = Vt y = 1+ t2 1.. Given: a) Find the domain of the parametric equation b) transform to a Cartesian equation c) Sketch the graph and indicate the orientation d'y and dx2 dy d) Determine dx (parametrically) e) Find the equation of the tangent line to the curve at t = 4

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A: Explanation of the answer is as follows

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A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

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A: The given problem is solved below in detail.

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Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1.

A: The equation of the curve is given by fx = 3x2-x-5 The point is x = 1 Formula Used: mtan = dfdxx=1 T...

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A: Given: - The lines are, y=2x and x=1  To find: - The area of a triangle bounded by given lines. (a) ...

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Q: 2r da

A: Here we will find the integration, 

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A: NOTE: Refresh your page if you can't see any equations. . use the L'hospital rule

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A: The given linear system,2x+5y=73x+2y=-6

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A: We can find the required line as below.

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A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercepts take f(x)=0

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A: Find your answer below 

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A: This is a question related to definite integration. Based on the graph plotting of given region we w...

Q: 9. Evaluate the definite integral,

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A: Since u denotes the temperature of an object, dudt ∝ (u - ua)dudt = - k (u - ua)(Negative sign impli...

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A: Application

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A: Given query is to find indicated function.

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