pause Ts 3. In the diagram above, the circle with radius 1 in the figure touches the curve y = 13x| exactly twice. Find the area of the region that lies between the two curves by doing parts (a), (b), and (c) below in order." (a) Find the x-coordinate of the point where the circle meets the line on the right. Hint: The two functions must have the same derivative at the point where they meet. (b) Set up an integral that will give the area of the region between the two curves. Hint: Use part (a) and symmetry... Recall: Area = " top(x) – bottom(x) dx %3D a (c) Solve the integral. Hint: Use Trigonometric Substitution!

Q: y D. E.

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A: To find Value of y if y=tan-11And  to graph y=2cos(x-π3)

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Q: Where does y=sinx+cosx have zero slope

A: Topic:- Calculus

Q: Find the y-intercept of the tangent line to the curve y =x at the point (2,8).

A: We have given, The curve y = x3 and the point (2, 8).

Q: Estimate the slope of the tangent to the following function at x = 4. = 2log (x − 3) +3 -

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Q: Find the slope of the tangent line to the graph of the function at the point (1, 0). y 4 3 2 1 /1,0)…

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Q: at (1, 3). Find the slope of the tangent to the curve x° + 3xy + y° = The slope is

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Q: 1 Find an equation of the tangent line to the graph of g(x) =2--x at the point (2,0). Write the…

A: To find the equation of tangent.

Q: Write the equation of a circle osculating with the curve f(x)=arctanx at the point x0=1.

A: The curve fx=arctanx. We have to find the equation of an osculating circle at the point x0=1.

Q: The elevation of a valley above sea level (in feet) is modeled by the function f(x, y) =…

A: Given,  The elevation of a valley above sea level (in feet ) is modeled by the function,…

Q: 5 Find the equation of line tangent the circle x+y = 25 at point (3, -4). .2 %3D

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Q: Find the equation of the line tangent to the curve y = Vx at the point (4,2). Hint: Write vx = x1/2…

A: Given: y=x at the point (4, 2) To find: The equation of tangent to the curve y=x at the point (4,…