1. The curve with the equation sin(x²) + cos(y²) = xy is called the Narukami Twist. %3D 10 5 -5 -10- -10 -5 10 (a) Find a formula for the slope of the tangent line to this curve at an arbitrary point (x, y) on the curve.

Q: (1 )  (a)  Find two positive numbers x and y whose product is maximum and 2x+y=100. ( b )  Find…

A: a. Given The product is given by P=xy Plugging the values: For P to be maximum, the derivative…

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A: The slope of a  tangent line of a curve at any point will be equal to the slope of the curve at that…

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A: Given; ey+cosx=1 at point (π/2,0).

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

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A:

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A: solve the following

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A:

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A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Problem 23 What is the length of the curve ln(sec(x)) from x=0 to x=1.3?

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A: Third order non homogeneous differential equation.

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Q: 1. Where does the graph of y = x“ + 4x – 1 have horizontal tangent? %3D - 2. Use the chain ule…

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

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A: First we find r(2) and r'(2). Then find equation of tangent line to given curve r(t).

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Q: Find the slope of the tangent line to the path of a carnival ride x 7 cos() + sin(7t), y = 7 sin() +…

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A: a.

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A: Given that

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A: The arc length formula is given as

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A: Given, sin x+cos2y=1

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A:

Q: 23) Find the SLOPE m = at the point (2, 0). [Hint: sin 0=0 and cos 0 =1] A) 2 of a tangent line to…

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A:

Q: 2. If g(x) = x + 2 cos x, then the equation of the tangent line to the graph of g at x = is A. 2y +…

A: Wr have to find the derivative of the given function first.

Q: The x- coordinate of the point on the graph of y = yx – 1 at which the tangent line is perpendicular…

A: Topic- application of derivatives

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.