Necessary Conditions What conditions do you think are necessary for there to be a tangent line parallel to a secant line between the points of secancy? 10 Share with Class

Q: Normal lines A normal line at a point P on a curve passesthrough P and is perpendicular to the line…

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Q: value(s) of x where the tangent line is horizontal for the function f(x) = x²(x – 5)³. tiple answers…

A: Topic:- application of derivatives

Q: see the question as attached here :-

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Q: DO NOT include spaces in between characters. * The point (3,2 )is on a curve, and at any point (x,…

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Q: (a) Use any method to estimate the slope of the tangent to the graph of the given function at the…

A: Follow the procedure given below.

Q: QI: Find an equation for the tangent to the curve at the given point. 1.y=2vx (1,2) 2.y = (x – 1)² +…

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Q: tangent lines at points P, P2, and P3, state whether the slopes are positive, zero, or negative at…

A: We have to find

Q: Normal lines A line perpendicular to another line or to a tangent line is often called a normal…

A: Given curve: The slope of the normal line to the curve at point P =  (3,0) is given by:

Q: Find all points (x,y) on the graph of y = х- 2 with tangent lines perpendicular to the line y = 2x -…

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Q: 51

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Q: Segment AB is a radius of Circle A. Drag the red points around to see what happens. What do you…

A: Given :- AB is the radius of Circle A C is the point on the circumference of given circle and a…

Q: Length of a Curve Find the length, L, of the curve given below. /8 sec*(t) – 1 dt , sys L=O

A: find the length L, of the curve given below x=∫π4y8sec4t-1dt ,   π4≤y≤π3 solution differentiate with…

Q: Famous Curve The graph of the pear-shaped quartic b?y? = x°(a – x), a, b > 0 %3D is shown above. (a)…

A: The equation of the form b2y2=x3(a-x) gives the curve in the shape of a pear. Since the highest…

Q: a. Find an equation of the tangent line at x= a b. Use a graphing utility to graph the curve and the…

A: first find the equation of tangent line and then use calculator for graphing the curve.

Q: particle moves along an with S-axis S= slt) position function velocity function and %3D VIt)= ŚIt).…

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Q: Find the slope of the tangent line to the curve Y = 1+x at x = 4. 0.45 0.13 0.28 1

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Q: Determine point(s) where the tangent

A: First we find out the slope of given Line and curve then find out the point.

Q: A F E H is a G А radius secant C tangent diameter E Point of Tangency F chord

A: Point of tangency; A Tangent is a straight line that touches the circumference of a circle at only…

Q: Illustrate the tangent line of the curve.

A: The tangent line is a straight line which touches the curve at one point. The straight line at that…

Q: Determine the value of x. (Line 11. 10 cm 12 cm 1.

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Q: True or False: Internal common tangents cross between the two circles that they are tangent to. True…

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Q: MY NOTES ASK TEACHER TICE ANOTHER Find the equations of the tangents to the curve x = 9t2 + 6, y =…

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Q: Distance between two points A and B is 4 unit. Both A and B are lying same side of a variable line L…

A: Given, Distance between two points A and B is 4 unit Both A and B are lying the same side of a…

Q: Can i get help with this problem step by step please?

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Q: please explain Tangent Planes and Normal Lines What is the application? Describe briefly how the…

A: The objective is to explain tangent planes and normal lines, their explanation and to describe how…

Q: differentiate the functions. Then find an equation of the tangent line at the indicated point on the…

A: Given function is w=gz=1+4-z and point is 3,2 Differentiating the given function with respect to x,…

Q: Proof Let (a, b) be an arbitrary point on the graph of y = 1/x, x > 0. Prove that the area of the…

A: Equation of the tangent line is

Q: Tangent lines Carry out the following steps.a. Verify that the given point lies on the curve.b.…

A: Given that: The equation of the curve is x2 + xy + y2 = 7 and point ( 2, 1). Graph:

Q: Law of Tangents For any triangle, derive the Law of Tangents: tan a - b a + b tan (A + B) [Hint: Use…

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Q: B. PROBLEM SOLVING DIRECTIONS: Solve the following problems. Use separate paper showing your…

A: Topic-Application of derivatives

Q: a. On what intervals is the object moving in the positive Consider the graph shown in the figure,…

A: Given:   To find:a) On what intervals is the object moving in the positive direction?b) The object…

Q: A. Direction: Find the equation of the tangent line of the following functions at the specified…

A: As per our guideline we supposed to answer only first question with  3 subparts slope of the tangent…

Q: Normal lines A line perpendicular to another line or to a tangent line is often called a normal…

A: the given equation of the curve is y=3x-4 the given point is P(1,-1) we have to find an equation of…

Q: The slope of a curve at a point P is the slope of the tangent line at P.  Select one: True False

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Q: Q:A curve C has the property that if the tangent drawn at any point P on C meets the coordinate axes…

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Q: *show work*

A: Given,

Q: Vertical tangent linesa. Determine the points where the curve x + y3 - y = 1 has avertical tangent…

A: x+y3-y=1 Differentiating with respect to x, we get ⇒1+3y2·dydx-dydx=0⇒dydx3y2-1=-1⇒dydx=-13y2-1 a).…

Q: 7. Two part question: a. Determine the equation for the slope of the secant line between the point…

A: The given problem is solved below in detail.

Q: Tangent lines Find an equation of the line tangent to thefollowing curves at the given point.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

A: Consider the curve  y=x4−6x2−3x+4;              a=2

Q: Vertical tangent linesa. Determine the points where the curve x + y2 - y = 1 has avertical tangent…

A: Given that, x+y2-y=1        ...(1)

Q: Theorem Solve for x. Assume that lines which appear tangent are tangent. SHOW ALL OF YOUR WORK.…

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Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

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Q: the slope of the normal line is the ___ of the slope of the tangent line a. negative reciprocal b.…

A: It is known that the normal and tangent lines are always perpendicular to each other. The product of…

Q: A segment line AB crosses the curve of f(x) at the given points A and B. Write an equation for the…

A: Given function is                                                     f(x)=4-x2 points are…

Q: Slope of tangent line Given the function f(x) = 1 - cos x and the points A(π/2, f(π/2)), B(π/2 +…

A: The calculation of the slope of the secant line through the points a,fa and b,fb on the function…

Q: Question to 48:  Verify that the given point lies on the curve  Determine an equation of the line…

A: Finding tangent to the curve: 1.First differenatite the curve and find dy/dx from it 2. Slope m=…

Q: consider the curve.   An equation of the tangent line to the curve C at the point (1, 2) is  a. 4…

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Q: Tangent lines Find an equation of the line tangent to the followingcurves at the given point. Check…

A: x216-y29=1,    203, -4 Differentiating with respect to x, we get…

Q: Find all points (x.y) on the graph of y = - X- with tangent lines perpendicular to the line y = x+…

A: Compare y=x+4 with y=mx+b, so b=1 The slope of y=x+4 is 1 So, slope of its perpendicular will be =-1…