Find an equation of the tangent line to the curve y = x3 – 3x2 + 5x that has the least slope.

Q: Find the slope of the tangent line to the curve - 22? – 3xy – 4y = 115 at the point (1, – 3).

A: The detailed solution is given below Thank you

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A: A norman window has the total perimeter 8 feet.

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A: Here we have to find the volume.

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A: Given GP is 33,44/5,176/75 We have to find the explicit formula for an and then have to find a12.

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A: Solution is given below:

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A: topic - Area bounded by curves

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Q: For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t – 4t +…

A: a x = 3t2 -4t +2 y = t3 -2t2 + 2t -5  dy/dx and d2y/dx2 =? dx/dt  = 6t -4 d2x/dt2 = 6 dy/dt = 3t2…

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A: Since we are given with the multiple number of question and our guideline is solve first question…

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A: We have to find the limit

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A: Given that;                      a(0)  = atT + anN     Let's   Find  the value of at and an.

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A: Let's find.

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A: A detailed solution is given below.

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A: Solution is given below:

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A: We will solve the problem on vector dot product and projection.

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Q: PART C 15. Use the definition of the derivative to evaluate each limit. e2+h – e? 1 a. lim h h→0 b.…

A: Given problem:-

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A: Topic:- application of derivatives

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A: Find the given limit

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A: Given : h(t) = 2t2-6 (cm)              r(t) = 8-t2 (cm)                t= 2 sec

Q: 7. Let f(x) = -3x + 9x - 3. a. Determine the x values where f"(x) = 0. b. Fill in the table below to…

A: In this question we have to find first three subpart.