1.10 Consider the curve y = 2x- x, where x increases at a rate of 3 units/sec. Find how the slope of the curve changes. Decreasing at 3 units/sec a. b. Increasing at 3 units/sec C. Decreasing at 6 units/sec d. Increasing at 3 units/sec е. None of these

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A: We first have to find y'We apply exponent rule and chain rule.y'= 8(e^(4x))*(e^(4x)) -4)

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A: The required graph is as follows: The maximum value occurs at the point 6.39507,1.59824 .

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A: First find slope at given point then use equation of line

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A: Answer and explanation is given below..

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A: Find the slope of the tangent line.

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A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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A: To find the approximate slope of the curve with equation f(x)=(1/x-1) at x = 1.2

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Q: 2. Consider the graph of g(x)-2+3-1 a Lt anyalues at which g)net dafferentiable Setch the tangent…

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A: This question is related to curve and tangent, we will use differentiation to solve it.

Q: ...] A particle moves such that its position at time t is given by +++)i+ G + 5° – t - 5) i+ ( -* +…

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Q: 3. Find the length of the curve given by : = (y/4)² – 2 ln(y/4) for 4 > y 2 12.

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A: There is no such introduction for the solution.I have explained it within the solution.Please go…

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Q: Q4) Find the equation of the normal to the curve [y+x(1+y)-4] at point (2,1).

A: Given equation is y2+x1+y-4=0 and we have to find the equation of normal to the…