Find the values of \theta in [0,\ 2\pi) where the tangent line of r = 1 -\sin \theta is horizontal or vertical. Find the sign of t for the given expression below on each quadrant. cot t/cos t Solve tan( (pi/6) + (5pi/4) ) using the sum formula for tangent.

Solution for Find the points on the graph of the polar equation where the tangent line is horizontal or vertical. (Assume 0 ≤ 0 ≤ 2π.) r = 1 - sin(0) horizontal… Answered: Find the points on the graph of the polar equation where the tangent line is horizontal or vertical.

Horizontal Tangent. Since the slope of the tangent line to a function is the value of the first derivative at that point, we can find when the tangent line is horizontal by finding when the first derivative is zero.

Determine if the following statement is true or false. There is a horizontal tangent plane on the surface z = x^2 + 4x + y^3 at the point P(-2, 0). Determine whether the following statement is true or false. If the tangent plane to the graph of z = f(x, y) at the point (1, 1, 2) has equation x - y + 5z = 10, then fx(1, 1) = -1/5 and fy(1, 1) = 1/5.

(a) Find the equation of the tangent line to this polar curve at \theta =0. (b) Find the points at which this polar curve r=1+sin\theta has a horizontal tangent; a) Find the equation of the tangent line to the polar curve r=1+\sin\theta \ at \ \theta=0. b) Find the points at which this polar curve r=1+\sin\theta has a horizontal tangent line.

Horizontal Tangent: The horizontal tangent line is a horizontal line which touches the curve exactly at one point. The slope of a tangent is nothing but the derivative of the given function. So the tangent is horizontal when the derivative (slope) is zero. Answer and Explanation: 1

For what values of xx in [0,2π] does the graph of f(x)=x+2 sin x have a horizontal tangent? List the values of x below. Separate multiple values with commas.

a. Find the points, if any, at which the graph of the function f has a horizontal tangent line. b.Find an equation for each horizontal tangent line. c. Solve the i; Given f(x) = x^3 - 12x do the following: find f'(x) Identify all places where f(x) has a horizontal tangent. find the equations of the tangent line to f(x) at x=3

Find the point (x,y) where the graph of the function has a horizontal tangent. f(x)=4x^2+5x+2; Find the equation of the horizontal tangent line of the curve given by x^2 + 2xy = y^2 - x + 2 at the point (1,2). Find the equation of the tangent line to the graph of the given function at the point with the indicated x-coordinate.

Type an exact answer in terms of . Use a comma to separate answers as needed.) O B. The function has no horizontal tangent lines in the interval 0sxs27t because it is defined at every point in the interval 0sxs 2T. O C. The function has no horizontal tangent lines in the interval 0sxs 2T because it is never zero in the interval 0sxs 2 O D.