What is the slope of the tangent line to the graph of y = cot /2z +lat the point where z = 0? Select one: a. 0 b.-1 C. d.-2 12

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.

A: Given: y=x2-x, P4,-2 We know that for any given functiony=fx slopem of tangent at pointx1,y1 is…

Q: If y = Vx2 + ell-x²), the slope of the tangent line to the graph of y at x = 0 is Answer:

A: Slope of tangent = y'

Q: 1 The slope of the tangent line to the graph of y = at a = 1, is 3e². %3D e (r + 2) Select one: a.…

A: Given curve: Now,

Q: For what values of a and b is the line – 3x + y = b tangent to the curve y = ax³ when x = 5? a = =

A: Given: Equation of curve is, y=ax3 The line tangent to the curve is, -3x+y=b at x=5. The objective…

Q: Find the slope of the tangent line for the curve r=3+5cosθ when θ=π/6

A: Concept - If a function f(x) is given then slope of the line tangent to it at x=a is given by -slope…

Q: Determine the point(s) on the graph of y = where the slope of the tangent is

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Q: Find the equation(s) of the tangent line(s) to the graph of the equation at the point x = 1: xy?…

A: given xy2-y-2=0 to find the equation of tangent at x=1

Q: Where on the curve y = (361 +x²)¯ does the tangent line have the greatest slope? NOTE: Enter the…

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Q: Find the slope of the tangent line to the curve y = (1+4x)? at the point x = 2.

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Q: At what point/s is tangent line to the curve given by ?(?) = ?4 − 8?2 + 3 horizontal?

A: We have to find the points where the tangent line is horizontal for the given curve fx=x4-8x2+3

Q: What is the slope of the tangent line to the graph of y=(x-1)/(x+1) at x=1? Selected Answer: [None…

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Q: What is the slope of the tangent line to the graph of y = cot-' /2x + Iat the polnt where r = 0?…

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Q: Where is the slope of the tangent line to the function ?(?) = −?^2 + 6? equal to −10 (give the x and…

A: Assuming the function given is  y(x) = - x2 + 6                ......(1)

Q: [x € [0,x] T: sinx + cos (2y) = 1, y E 4: 4

A: Given equation of graph is sinx+cos2y=1 The slope of a graph at a point is given by the derivative…

Q: Estimate the slope (in y-units per x-unit) of the tangent line to the curve. Q Ay 10- 9- 8- 7- 6- 5-…

A: To estimate the slope of the tangent line to the curve.

Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 2? y = 2 + 2ex –…

A: To determine the point on the given curve is the tangent line parallel to the line 3x-y=2.…

Q: Without using a calculator, for the following, determine the slope of the tangent line, then find…

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Q: DO NOT include the variable in your answer. Given the graph off'(x) below, what is the slope of the…

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Q: If the slope of the tangent line to the graph of y=f(x) at x=a is m(a)=2a+1, and f(1)=5, then what…

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Q: 3 - 6t +1 x =ť° +• ;teRat t= 4 y=t° - 3t² – 9t –1

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Q: The equation y? (y² – 4) = x² (x ² – 5) is known as the devil's curve. Give an equation for the…

A: Given  :

Q: Show that the tangent line to the curve y = x3 at any point (a, a3) meets the curve again at a point…

A: Proof: The given curve is y=x3. Obtain the derivative of the function as follows: dydx=ddxx3…

Q: differentiate the functions and find the slope ofthe tangent line at the given value of the…

A: s'(t)=9·3t2-8·2t=27t2-16t

Q: What is the slope of the tangent line to the curve y=v(x-2) at the point (6,2)? 1/2 (E) None of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find an equation of the tangent line to the curve at the given point. y = sec(x), (7/6, 2/3/3)

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Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…

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Q: y 1

A: (a) The slope for the tangent is given to be 0. This represents that the tangent is parallel to the…

Q: Estimate the slope of the tangent line to each curve at the given point (x, y)

A: To find the slope of the tangent line to each curve at the given point (x, y).

Q: Find an equation of the tangent line to the curve xe' +,ye = 5 at the point (0, 5).

A: Topic:- application of derivatives

Q: What are the values of m and c if the equation of the tangent line is given by y = mx+ c?

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Q: The slope of the tangent line to the curve C at the point (1, 2) is A) 4 B c) 2 D - 4 2.

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Q: Given the curve y 2x-x, find the point(s) when the slope of the tangent line is 20.

A: Given the curve is  y=2x3-x2

Q: find the equation of the line TANGENT of the given curve for x=pi/6 y=5cos(2x)

A: Explanation of the answer is as follows

Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

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Q: Find the slope of the tangent line to the curve - 6y3 – 42?y? = 2 at the point (1, – 1)

A: We have to find slope of the tangent line to the curve -6y3-4x2y2=2 at the point 1,-1

Q: Find the slope of the tangent line to the unit circle at the point where /6 * cost and y sint (0SIS…

A: Given , a unit circle  We need to calculate the slope of a tangent line when t=π6 Calculating…

Q: What is the slope of the tangent line to the graph of y = x3 – 4x + 2 at point (2, 2)? %3D А. 1 В. 4…

A: Given function, y=x3-4x+2Diferentiate w.r.t.…

Q: Find the slope of the tangent line to the given curve at t=-2. Sx=r-1 y=²-28t The slope is

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Q: (c) By choosing appropriate secant lines, estimate the slope of the tangent line at P. (Round your…

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Q: At the given point, find the equation of the tangent line, as requested. y^4+x^3=y^2+11x, tangent…

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Q: Find the slope and y-intercept of the tangent line, in the form y = mx + b, to the curve at the…

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2(a² + y?)' = 25 (æ² – y²) at the…

A: The given equation of the curve: 2x2+y22=25x2-y2

Q: , The equation y2(y? – 4) = x²(x² – 5) is known as the devil's curve. Give an equation for the…

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Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given a curve, y=1x and a point P-2,-12 (a) To find the slope of the curve at the given point. (b)…

Q: image attached

A: Use chain rule:

Q: 4. If the slope of the tangent line to the curve at the point (-1, 2) is 4, find a. " y = ax? +3 O…

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