The top of a ladder that is 5 m long slides down a vertical wall at a rate of 2 m/s. At what rate does the bottom of the ladder slide away from the wall when the bottom of the ladder is 4 m from the wall? (Don't forget your units.)

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A: Given the function, gx=1x-1if x>0x2-1if x≤0

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A: See this solution in below

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A: We need to solve D.E.

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A: topic- trigonometric function

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A: Given:         y'' - 8y' +16y = 12x+6

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Q: 5. [tan³x sec³x dx

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Q: Determine csc(x) + cot (x) if tan x + sec(x) = 22/7. 27/12; 29/15; 24/18; 23/11

A: We can answer the question by finding the correct option as below.

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Q: how long will it take for the money in an account that us compounded at 8% interest to quadruple

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Q: Point Line (-7, 1) x+y=8 Exercise (a) Write an equation of the line through the point parallel to…

A: This question can be solved using the concept of point slope form of a line.

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: Find f(x,y) and fy(x,y). Then find fx (2, -1) and fy (-4,3). f(x,y) = In 5x4 +8x²y²| fx(x,y)=…

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Q: Use long division to find the slant asymptote f(x)=2x2+7/x

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Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (3, 2, 5)…

A: Since you have posted multiple questions. As per guidelines we"ll solve only  first question. If you…

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A: topic- Area of shaded region Area of rectangle =Length*width

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A: The solution is given below

Q: 4x + 12 lim 2 x 3 x²9

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A: Answer and explanation is given below...

Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t²k, u(t) = 4ti + t²j…

A: This question is based on dot product of two vector. (a i + b j).(c i + d j) = ac + bd

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