Find acute angle between intersecting curves. Write normal line , tangent line for each curves at the intersec- tion point. 3 3 4

Q: Name a value at which Y=x-LNX has a horizontal tangent line

A: Derivative the given equation with respect to x and then equate it to 0

Q: Find the slope of the tangent line to the curve 4x? – xy + y° = 16 at the point (4, – 4). Preview…

A: Given,

Q: Find the value of x. Assume segments that appear to be tangent are tangent.

A: tangent makes an angle of 90 degrees with the Diameter of a circle. Therefore, Given triangle is…

Q: Find the lines that are tangent and normal to the curve at the given point. x²y? = 100, (-2,5) The…

A: The given function is x2y2 = 100  at (-2,5)

Q: Estimate the slope (slope rise/run) of the tangent line to the curve. N 3 4 6 N D-

A: Graph of a curve is given as- We have to determine the slope of tangent line to the curve.

Q: Determine the equations of the normal line and tangent line to the curve ? = ?(12 − 2?)2 through the…

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Q: Draw a smooth curve starting at point C and tangent tő the line segments. Label the other end of the…

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Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

A: The given curve is  y = 2x3 The given point  (2, 16)

Q: Determine if the AB is a tangent line or not. 2 cm 3 cmE A 4 cm В

A: Given:

Q: Please help me with this

A: Explanation of the answer is as follows

Q: Fined tangents at the pole for

A: r=4cos3thetha

Q: Find an equation of the tangent line to the curve y = x/x that is parallel to the line y = 3 + 3x. y…

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2(2? + y?)? = 25(2² – y²) at the…

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Q: 4 at the point 5, is: 5 The slope of the tangent line to the curve y Question Help: M Message…

A: We have to solve

Q: Having trouble solving this question.

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Q: Determine the equations of the tangent and normal line to the circle at each given point. 2² + y? =…

A: The equation of the circle is x2+y2=25 at the points 4,3 and -3,4

Q: If x is the length of a tangent segment in the diagram,find the values of x and y.

A: We know that,  tangent-secant theorem describes if a tangent segment and a secant segment are drawn…

Q: The slope of the tangent line to the curve y = is: at the point (8, 8. Question Help: Message…

A: Slope of the tangent line is the find the derivative of f(X) and plug the X value  of indicated…

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(2 + y²)° at the point (- 3, - 1) 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: Assume that lines that appear to be tangent are tangent. What is the value of x? 12 units. X =

A: If TP is tangent to the circle, then CP will be perpendicular to tangent. Because the line drawn…

Q: (a) Find the points on the curve where the tangent lines are horizontal or vertical.

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Q: 3- write an equation for the tangent line at the given point x² + y? = 4, (/2, vz)

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Q: find an equation for the tangent line to the curve at the given point. Then sketch the curve and…

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Q: Determine the slope of the tangent line to the curve y = In(x) at x =e?. O Option 4 O Option 1…

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Q: Find the point on the graph of ?(?) = ex which the tangent line to the graph there passes through…

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Q: Find the slope of the tangent line to the curve below at the point (7, 8). /22+y+Vary:…

A: Given: The equation is 2x+y+4xy=19.657045306919. The objective is to find the slope of the tangent…

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: 50. Find an equation for a line that is normal to the graph of y = xe and goes through the origin.

A: Given: y=xex

Q: Find y' and then find the slope of the tangent line at (128, 32). Round the slope and y-intercept to…

A: Given functon is y=8xSlope , y1 =ddx 8x              =82x = 2xHence at (128,32)y1  = 2128 = 164y1 =…

Q: 2xy + nsiny = 2n, at point (1,5)

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

A: Given query is to find the statement is true or false.

Q: Determine the equations of the tangent and normal line to the circle at each given point. 2 + y = 36…

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Q: (a) Find the slope of the tangent line to the circle x? + y? = 25 at the point (3, 4). (b) Which…

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Q: Find the area of the shadded region and the slope of the tangent line. See images.

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Q: n to find the equation of normal line to the circle y? + x2 = 1 at the point

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Q: Given the curve: xey + 2x - y² = 3.

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Q: Find the slope of the tangent line to the curve – 4x + 4ry - 4y = 4 at the point (– 1, – 1).…

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Q: Consider the following. y = x6⁄5,    (1, 1)   Find an equation of the tangent line. Find an equation…

A: given that, y = x6/5    and     point is = (1, 1) We have to find the equation of tangent line and…

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

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Q: Find the equation of the tangent and the normal lines to the given curves at the given points. Show…

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Q: Find the tangent line and the normal line to the curve at the given point. x²y? = 36, (-1,6)

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Q: Find an equation of the tangent line to the curve at the following point: y = (1 – 82)1º, (0, 1) y =…

A: I have used the formula for the equation of the tangent

Q: 2. What is the slope of the line tangent to the curve 8x³ – y² = 4 at the point (1,-2)?

A: 2.Solution:Given   8x3-y2=4To find the slope at (1,-2)Formula:Slope=m=dydx

Q: Find the slope of the tangent line at the indicated point for: а? — 2а at the point (1, —2).

A: This is application of derivative.

Q: Pre Estimate the slope (slope = rise/run) of the tangent line to the curve. Q st 6 8 P 9 6 64 4 62 4…

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Q: 3. Determine if there is a tangent line in the diagram below. Show your work. 22 24 Is a tangent…

A: NOTE : As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Determine the slope of the tangent line to Y = csC x at 6. Answer to the nearest hundredth. (Record…

A: We have to find slope

Q: a. Determine an equation of the tangent line and the normal line at the given point on the curve. b.…

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Q: XY3 = 8 at ( 1, 2) %3D

A: Tangent is a line that just touches the curve at a point.