Show that the normal line at any point of the circle x2 + y2 = a2 passes through the origin.
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Q: a. By differentiating x2 - y2 = 1 implicitly, show that dy/dx = x/y. b. Then show that d2y/dx2 = -1/...
A: The given equation is
Q: Assume that ƒ′(3) = -1, g′(2) = 5, g(2) = 3, and y = ƒ(g(x)). What is y′ at x = 2?
Q: a. Find the inverse of ƒ(x) = -x + 1. Graph the line y = -x + 1 together with the line y = x. At wha...
A: PART a.The given function is y = ƒ(x) = -x+1To find the inverse of this function we interchange x wi...
Q: 225 ft х A building that is 225 feet tall casts a shadow of various lengths as the day goes by. An a...
Q: What is radian measure? How do you convert from radians to de-grees? Degrees to radians?
A: To describe radian measure, convert from radian to degree and degree to radian.
Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = 1/3x − 15
Q: Please help to differentiate number 4 with respect to x.
A: The given equation is,
Q: What is the derivative of the natural logarithm function ln x? How does the domain of the derivative...
Q: What are the important types of functions frequently encountered in calculus? Give an example of eac...
A: Some of the important functions encountered in calculus with examples are as follows.