The graph of f(t) = tan (t - TT/3) is obtain by shifting the graph of f(t) = tan t a distance of units to the

Q: Find an equation for the line tangent to the graph of y=tan-1(x) at the point (1,π/4).

A: Given information:

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 where the following graph has a horizontal tangent: r = 1 + sin e

A: Given that:  r=1+sinθ

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

A: Find an equation of the line tangent to the graph of f at the given point. f(x)=sin-1(x/4), (2,π/6)…

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: Show that the slope dy/dx is defined at every point on the graph of 2y = x² + sin y.

A: Given- 2y=x2+sinx To prove- That the slope dydx is defined at every point on the graph of the above…

Q: Find the equation of the line tangent to the graph of f(x) = 4 sin(x) at a = T.

A: Given,          fx=4sinx at x=π.

Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 =

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. Any point in…

Q: Find an equation of the line tangent to the curve tan¹(y) = (x+y)e at the point (0,0). tan ¹(xy) =…

A:

Q: Consider the curve f(x) = x3 + ! for 3 < x < 4. Find the arc

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Q: Find the lengths of the curves in y = tan x, -7/3 < x < 0

A: In this question, the concept of integration is applied. Length of curve The length of the curve…

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given :           f(x) = x2  ,  0,4πTo find :                 The point of inflection        f'(x) =…

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: Find the equation of the tangent Iline for the function f(x) = at the point x = 1. Write in the form…

A: The objective is to find the equation of the tangent line for the function f(x)=2xx2+1 at the point…

Q: Find the exact length of the curve. y = Vx - x2 + sin

A:

Q: Graph two periods of the given tangent function.

A: The given function is y=-2tanx2. Graph the two periods of the function y=-2tanx2 as shown below.

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: Find the arc length of the graph of the function f(x) = 2√³ from * = 2 to x = 6.

A:

Q: r = -1 + cos 0 0=t/2

A: In the question we have to find the slope of function -…

Q: For what value of x does the graph of f (x) = 6sinx + sin?x have a horizontal tangent?

A: Given , fx=6sinx+sin2xWe have find the value of x for which the function have a horizontaltangent…

Q: Find an equation of the tangent line to the graph of the function f defined by the given equation at…

A:

Q: The function f(x, y) = sin(/3x2 + 3y² ) corresponds to plot [ Select ] level curve [ Select] >

A:

Q: Sketch the graph of the following between x = 4T and x = = 47. y = sin x 0.5+ -Зл -27 2л Зл 47 -0.5+

A: We have to sketch the graph

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

A:

Q: Does the graph of the function y = 6x + 3 sin x have any horizontal tangents in the intervalocce O…

A:

Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as…

A: Use derivative

Q: Graph two periods of the given tangent function y = 2 tan 2x.

A: we have to draw the graph of two periods of the given tangent function y = 2 tan 2x.

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

A:

Q: Find the smallest positive c for which (c,0) is an x-intercept for the function f(x) = tan(1.58x).…

A:

Q: Find an equation of the tangent line to the graph of the function F(x) = tan²(x) at the point 1 -4x…

A: Here we find the tangent equation.

Q: find the inflection point to the right of y-axis of the curve defined by the equation, y=x^2/2 +…

A: Given problem :- find the inflection point to the right of y-axis of the curve defined by the…

Q: Find the equation of the line tangent to the graph of y=tanx at the following values of x a) x=0…

A: y =tanxa dydx = sec2xx=0 = 1        (0,0) ∴ Equation of line tangent         (y-0) = 1(x-0)     y=x…

Q: If f'(1) = 4, f(1) = 2, and g(x) = f(x) tan-¹x, what is the slope of the tangent line to the curve y…

A: Here we have to find the slope of the tangent line.

Q: Sketch the graph of the following between x = 4T and x = 4т. y = sin x 0.5 -Зл -2л 2л 47 -0.5-

A: y=sinx between x=-4π and x=4π

Q: Find an equation for the line tangent to the graph of f(x) = 7re %3D at the point (a, f(a)) for a =…

A:

Q: Find the equation of the line tangent to the graph of y = tan t at t = π/4.

A: Given that, the function of the graph  y = tan t at t = π/4   To find the equation of the line…

Q: Find the equation of the tangent line to f(x) = √4 − 3x at x = 0. Sketch the graph

A: The given function is f(x)=4-3x. The slope of tangent of a function is the derivative of the…

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

A: Trigonometric function: - The fundamental six trigonometric functions have a domain input value that…

Q: For what values of x does the graph of f(x) = 3e*cosx have a horizontal tangent line? 4.

A: Explanation of the answer is as follows

Q: Find the equation of the tangent line to the graph of y = (tan^-1 2x) when x = 1/2

A:

Q: i. Find the equation of the tangent to the graph of g at (4, 2).

A:

Q: Graph the curve over the given interval together with its tangent at the given value of x. 37 19) y…

A: csvs

Q: Choose the correct graph of y = sin x, -"sxS T: 1 -37 21 -1 -2

A: The given function is: y=sin x ;                 -3π2≤x≤π

Q: Find the exact length of the curve. y = √(x - x2) + Sin-1 √x

A: Given curve is y=x-x2+sin-1x.

Q: Graph two periods of the given tangent function y = tan(x - π).

A: Consider the given:…

Q: Sketch the graph of y = t + sin t for 0 ≤ t ≤ 2π.

A: The given function is y=t+sin t    for  0≤t≤2π. Sketch the graph of the above function as shown…

Q: The f '(x) of the given curve is equal to -4 y = sin 3x ||

A: