A stone is dropped into a lake, creating a circular ripple thattravels outward at a speed of 60 cm/s.(a) Express the radius of this circle as a function of thetime t(in seconds).(b) If A is the area of this circle as a function of the radius,find A °r and interpret it.

Q: What is the frequency of the tangent function represented by the graph below?

A: Find frequency for the function.

Q: Find the equation of the line tangent to the graph of f a

A: Given, f(x)=2+lnx4; x=e

Q: Find an equation of the tangent line to the graph of the function f(x) = tan2(x) at the point

A: topic - equation of tangent line to curve

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: y=tan-1x2 , 2,π4

Q: Find an equation of the line tangent to the graph of f at the given point.

A: Equation of tangent line at point x0, y0 is y-y0=mx-x0 Where 'm' is called slope and m=dydxx0

Q: A hot-air balloon rising straight up from a level field is tracked by a range finder located 500 ft…

A: Let R be the finder, B be the balloon C be the point of lift off and h be the height.Then the…

Q: find an equation of the tangent line to the graph of the function at the point (6,1).   y=3^x-6

A: Equation of tangent is given by: (y-y1)=m(x-x1) where , m=slope of the curve. You can find solve by…

Q: Find the equation of the tangent line to the graph of the function f (x) - - Enter the exact answer.…

A:

Q: Consider the function y = x² In(x³). At which point the tangent line to the graph of this function…

A:

Q: Find an equation of the line tangent to the graph of f(x) = at 8,

A: f(x)=4x

Q: Find the equation of the line tangent to the graph of the function at the indicated po 4/5 y = (x² +…

A: Consider the given function as y=x2+2845

Q: Find an equation of the tangent line to the graph of the function                     y = arcsec 4x,…

A:

Q: At what points do the graphs of the functions have horizontal tangents?

A: The horizontal tangent line simply occurs When the slope of the graph is zero or the point where the…

Q: . The domain of the tangent function is______

A: Domain is the input value for which given function is defined. We know that, tanθ=sinθcosθ Tangent…

Q: The domain of the tangent function is _____.

A: Domain of the function- If we have function f(x), then domain of the f(x) is set of the values of…

Q: Solve,a. Find f′(x).b. Find the slope of the tangent line to the graph of f at each of the two…

A: Given the function of f(x)= 2x3 - x. We need to find: 1)f'(x). 2)Slope of the tangent line to the…

Q: Find the slope of the line tangent to the graph of f(x)= tan(x) at x=pi/6

A: Given function - f(x) = tanx           .............(1)Let the equation of the tangent line be - y =…

Q: The graph of a function is shown together with the tangent line at a point P.

A: Given that: Graph of f(x) To Calculate: Value of f'(x)

Q: For what values of x does the graph of f(x) = x + 2 sin x have a horizontal tangent?

A: Given query is to find the values of x for which function has horizontal tangent.

Q: Consider the graph of f (x) = 16 – x². f(x) P Find the coordinates of the point P in the graph at…

A:

Q: Find the equation of the tangent to the function f(x) =1+2x-x² at the point where x= -2. Answer:

A:

Q: What is the range of the tangent function?

A:

Q: Show that the graph of the function f(x) = 3x + sin x + 2 does not have a horizontal tangent line.

A: Given: fx=3x+sinx+2 we know that for horizontal tangent slope of tangent has to be zero and slope m…

Q: What is the frequency of a tangent function whose period is 6π?

A: Period of tangent function =pi/n

Q: Determine an equation for the line tangent to the graph of the given function at the indicated point

A: Givenf(x)=x2+5We need to find the equation of the tangent line of the given function at point x = -2

Q: a)find an equation for the tangent line drawn to the graph of f(x)=1/x at x=2. b)Find the exact…

A: a)

Q: Determine the area of the triangle formed by the tangent to the graph of the function y=3−x2 drawn…

A:

Q: Determine the points in the interval (0,2\pi ) at which the graph of the function…

A:

Q: Find an equation for the line tangent to the graph of f at (3, 103), where f is given by f(x) = 5x³…

A: As we know that; The expression for the equation of the tangent line is: y-y0=mx-x0 Where m is the…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = arcsec 6x…

A: Given that: Equation of the curve is:         y=arcsec(6x) and the point is:              26, π4

Q: Solve,a. Find f′(x).b. Find the slope of the tangent line to the graph of f at each of the two…

A: Since, we have been given that f(x)=1x(a) Firstly, Our Aim is to find…

Q: 41. Aroller coaster has the shape of the graph in Figure 19. Show that when the roller coaster…

A:

Q: Find the slope of the Curve r=-I+Sine atthe points 8=0,T-

A:

Q: 5. State the domain and the range of the tangent function.

A: Consider the tangent function Give the domain and range.   Since tan x=sin xcos x therefore, tangent…

Q: Please figure out the equation for the tangent line to the graph of the function at the point (9,…

A:

Q: Find equations of the two tangent lines to the graph of f(x) = that pass through the point (-1, -3).…

A: Let the point on the curve c,c2 on the curve through which the tangent line passes, As we know that…

Q: Explain why the domains of the tangent and secant functions are the same, and then give a similar…

A: the domain of the function is defined as the set of all possible inputs. The tangent function can be…

Q: What is the reciprocals of the tangent functions ?

A: The reciprocal of tangent function is the cotangent function.

Q: Find the slope of the tangent line to the graph of the function at the given point.

A: given : g(x) = 83x +3∴ differentiate with respect to x g'(x) =83

Q: Does the line tangent to the graph of f(x) = sin(2x) +5x at x = lie above or below the graph of f?…

A:

Q: Show that the function f defined by f(x) 3 x' + 3 then find an equation for the line tangent to the…

A:

Q: For what values of does the graph of f(x) = x+ 2 sin x have a horizontal tangent?

A:

Q: 1. Consider the function A(x) = -tan(x- x). Determine the equation of the tangent to the curve (x)…

A:

Q: Determine the equation of the tangent of the function, f(x) = 4−x / x+2 at x = 2.

A: According to question,Given function,fx = 4-xx+2

Q: Describe a process for finding the slope of the line tangent to thegraph of f at (a, f(a)).

A: We have to describe a process for finding the slope of the line tangent to the graph of at (a,f(a).

Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) = -xe…

A:

Q: Find an equation of the line tangent to the graph of f(x) = · 1 (2) a) at (1,1); b) at - 3, 27 c) at…

A: To find an equation of the line tangent to the graph: