2. Given the graph of a function, determine the requested information and then determine an equation of the function in terms of tangent OR an equation of the function in terms of cotangent. а. 10- 5- 16 TT 5TT 12 12 -10- period: [so b = vertical stretch: equation: f(x)

Q: B) Find all the points on the curve y=tan x, -n/2<x</2, where the tangent line is parallel to the…

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Q: ind an equation of the tangent to the curve at the given point by both eliminating the parameter and…

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Q: Figure 1 below is a sketch of a function g(x) and its tangent line at the point (2,5). (2,5) → gex)…

A: From given graph g(2) = 5 g(3) = 0

Q: Find the equation(s) of the tangent line(s)to the graph of the parabola y = x2 through the given…

A: Given, y=x2

Q: Find an equation of the tangent line to the graph at the given point. (y - 3)² = = y = 1 4(x - 5),…

A: The given equation is; (y-3)2=4(x-5), (6,5).

Q: Please answer all of the questions. Elaborate and make clear the last graph because that is the one…

A: a.  Since the equation of the curve is y=cosπx, the slope of the secant line PQ  between the points,…

Q: The point P(0.5,0) lies on the curve y = cos (wx). (a) If Q is the point (x, cos (Tr)), use your…

A: Given curve is y=cosπx Given point P(0.5, 0) Solution a: As we know that the formula for slope of…

Q: The tangent line to the graph of y g(x) at the point (4, 2) passes through the point (1, 4). Find…

A: Tangent line to graph g(x) at a point (4,2)⇒(4,2) is point on g(x)g(4)=2

Q: 25. Rachel and Naomi are given cecle Cand point P below and are asked to construct a line tangent to…

A: This question can be solved using the concept of congruency of triangles.

Q: 10.4-#50

A: To find: the exact length of the curve of equation given below. In the below figure of polar curve…

Q: 16. Find, correct to two decimal places, the coordinates of the point on the curve y = tan x that is…

A: Given: Curve y=tanx       for any x , then y= tanxThen point (x,y) : (x,tanx) always lies on curve…

Q: Find the linearizations of    a. tan x at x = -pai/4  b. sec x at x = -pai/4. Graph the curves and…

A: Linearization of a function f(x) at a point a is defined by

Q: On 4d, I calculated my secant line to be y=-2x+1 so those are my two secant lines. As for the…

A: In order to compute the tangent line of the curve y = cosπx, differentiate this equation with…

Q: Question 10 What is the equation of the tangent line to the curve y = arctan(2x) at the point which…

A: Differentiate w.r.t x

Q: 69. Find the x-coordinates of the points where the tangent line is horizontal on the trident curve…

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Q: 24. Consider the curve defined by the equation below and a point (2, 1) on the curve. What is the of…

A: Given query is to find the slope of the tangent line at point (2,1).

Q: 30. Find the points on the curve y = tan x, -7/2 <x< T/2, where the tangent is parallel to the line…

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Q: Consider the following curve. x - 1 y = x + 1 Find y'(x). y'(x) = Find equations of the tangent…

A: solution: the objective is to find the equations of tangent lines

Q: 1. The point P(0.5,0) lies on the curve y = cos (Tx). (a) If Q is the point (x, cos (Tx)), use your…

A: This question is having multiple part , so as per policy only first 3 sub parts will be answered.

Q: 12 5) a) Find the location of point B on f (x) =x² + 4 to create the 10 minimum distance between B…

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Q: 1. The point P(0.5,0) lies on the curve y = cos (Tx). (a) If Q is the point (x, cos (Tx)), use your…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Question 6 (-. ) Given f(x) = |x – 1|+ x² and g(x) = x² + 1. 1) Find the secant line forf on the…

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Q: 2. Find the values of a and b for the curve cos(Ty) 1 by² + ax² – x + 1 %3D if the point (1, 2) is…

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Q: Find the coordinates of all points where the tangent line to the graph below, given by y2 + cos(x) =…

A: For horizontal tangent the slope=0 So, dydx=0

Q: + 6) 2. Find the points where the tangent is parallel to x-axis, y =(x - 3a

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Q: Does the graph ofhave a tangent at the origin? Give reasons for your answer.

A: Given function is fx=x2sin1x , x≠00,             x=0

Q: Find an equation for the line tangent to the graph of y = tan ¹ (2x) 2 1 What is the tangent line to…

A: As we know that; The slope of the tangent line to the given curve is equal to the first derivative…

Q: Identify the graph of the curve by first sketching the graph of r as a function of 0 in Cartesian…

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Q: 1 Find an equation for the line tangent to the graph of y =- tan at the point (3,t/ 12). What is the…

A: Proceed as shown below...

Q: Please JUST ANSWER 4d. I provided the prior questions just in case. PLEASE DRAW THE GRAPH AND LABEL…

A: 4d. From part (a) the slope of the secant line PQ at x=0, 1 is – 2 each. Find the two equations of…

Q: 17. a. Find the equation of the line tangent to the function at the given value of x. b. Use a…

A: Given,  The function y = cotx  We have to solve for part a  and  b.

Q: The tangent line to the graph of y = g(x) at the point (9, 1) passes through the point (4, 6). Find…

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Q: Please draw a handwritten graph of the velocity function with data points.

A: We find rate of changes at every interval first.From x=0 to x=1, i.e. from (0,0) to (1,5) rate of…

Q: c) Finally, draw a large and clear sketch of the graph of f(x) = z² – 2 and illustrate the tangent…

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Q: ya fix)

A: Since you have asked a question with multiple sub parts , we will solve the first three subparts for…

Q: Construct a sinusoidal function with the provided information and then answer the questions. In a…

A: Let Y be the number of days where the precipitation is monitorized. Let t be the time in months.…

Q: 5. 5how all. work 9. find f'(x) 6.find the stope of the tan gent, line ut こ1 C. find the equation ♡t…

A: Given: f(x)=x+1x2+1To find : a. f'(x)b. slope of a tangent line at x=1c. equation of a tangent line…

Q: (5) Here is a tangent function: g(x) = tan (3x -) Please answer each of the following and consider…

A: Horizontal shift : π/9 Solution :- 3x-π/3 =0                     x= π/9 Right side horizontal shift…

Q: - The point P(0.5,0) lies on the curve y = cos (Tx). (a) If Q is the point (x, cos (Tx)), use your…

A: we know that the slope m of the secant line formed between point P(xp,yp) and Q(xQ,yQ) is given as…

Q: QUESTION 6 For the curve y = ax + bx2 + 12x - 7, what values of a and b will make the tangents to…

A: We have to solve the problem

Q: Answer the following questions, given the equation y = −2 (1/4)-x+3+1 a) Graph the function using a…

A: Given:

Q: 33. (a) The curve with equation y² = 5x* – x² is called a kampyle of Eudoxus. Find an equation of…

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Q: Find the slope of the curve below at the given points. Sketch the curve along with its tangents at…

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Q: D Question 11 Find the slope of the tangent line to the curve y=rarcsin z at the point 02 √3 01/ O O…

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Q: Find the slope of the curver=-6+6 cos 0 at the points 0= + Sketch the curve along with the tangents…

A: Solution: Consider the given polar curve : r = -6 + 6 cos θ Differentiating with respect to θ drdθ =…

Q: A. Illustrate the line tangent to the following curves at the given points. Write your answers on a…

A: A diagram is given

Q: 3. Write an equation for the tangent line to g(z) at z= 2 if g(2) = 7 and g'(2) =-3. %3D %3D

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Q: pumt (0 ). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. y…

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Q: 25. Consider the curve defined by the equation below and a point (2, 1) on the curve. What is the…

A: topic - equation of a tangent line