If the slope of the tangent line to a curve at a given point is 0, then the normal line iS A. horizontal B. vertical C. diagonal D. cannot be determined

Q: Find the equation of the tangent line and the normal line of the curve at given point:

A: Given, The curve y2 = x34-x We have to find equation of the tangent line and normal line to the…

Q: tangent

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Q: Construct a smooth curve tangent to the line segments starting at point P. P

A: Given: a group of line segments joining to form a zig-zag figure. Aim to form a curve which is…

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

A: Given:

Q: Determine the slope of the tangent line to the given curve, provided below, at x = 1. * 4 x + 6 y =…

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Q: Find the tangent line to g (x)

A: Given, g(x)=16x-4x

Q: In z The tangent line to the graph of y is perpendicular to the line = 7 at the point where

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Q: For the graph shown, estimate the slope of the tangent line at x = 1.

A: The slope of the tangent line at x = 1 is -1.

Q: Let b(x)=h' (x), find the tangent line to b(x) when x = 6 .

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Q: Find the tangent line points

A: The slope of the line passing through these points is: m=10-50.39-0.26m=50.13m=50013

Q: find an equation for the tangent line and the normal line to the curve y = x sqrt x^2+1 for the…

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Q: Find the equation of the tangent and normal line to the following curves at an indicated points:

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: If the slope of the tangent line to the curve at the point (– 1, 2) is 4, find a. y=ax^2+3

A: The given curve is y=ax2+3. First derivative of y=ax2+3 is dydx=2ax. At -1, 2, dydx=2a-1=-2a Thus,…

Q: At what point on the curve y = [In (x+4)] is the tangent line horizontal.

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Q: Determine, if any, the points P=(x,y) on the curve below for which the tangent line has the smallest…

A: Minimum slope of line

Q: If ƒ(x) = e" + x, find the slope of the tangent line to f-'(x) at a = 1.

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Q: 1. y+x+y=x at ( 6, 3)

A: Given:  y+x+y=x   at  (6,3). We have to find the equation of tangent line and normal line. The…

Q: 1. Which of the lines in Figure 11 are tangent to the curve FIGURE 11

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Q: By considering, but not calculating, the slope of the tangent line, give the derivative of the…

A: Given:            The equation of line: y=mx+b The line has slope of m because if x changes by one…

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

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Q: Assume that lines that appear to be tangent are tangent. What is the value of x? Round to the…

A: Given figure :

Q: If the slope of the tangent line to a curve at a given point is 0, then the normal line is A.…

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Q: At what points is the tangent horizontal or vertical?

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Q: What is the slope of the TANGENT LINE to the given curve 1 y = x + at point where x.= -2

A: Slope of tangent is    m=dydxdydx=1-1x2

Q: 1. y = 2x2-5 at ( 2, 3) %3D

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Q: The name of a straight line that just touches a curve at point A but does not cross the curve at…

A: The name of a straight line that just touches a curve at point A but does not cross the curve at…

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: At what point on the given curve is the tangent line parallel to the line 3x - y = 4? y = 2 + 2ex 3x…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Find the slope of the tangent line to the curve

A: Follow the procedure given below.

Q: Which of the following is the slope of the tangent line to the curve y = ev2 n(V1) In 2 at the point…

A: The given curve  y = e√(2x).ln√(x)/ln2 y = e√(2x)(1/2).lnx/ln2

Q: Find the equation of the tangent and normal to the given curve at the given point.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the point on the graph of h(x) with the largest slope, that is, the (a) point where the tangent…

A: Given function is         h(x) = -3x5-5x4+20x3+60x To find the largest slope of h(x) at the tangent…

Q: Find the equations of the tangent and normal line to the following curve at an indicated points

A: Given that: y=31+x

Q: Find the equation of the curve at every point of which the tangent line has a slope of e^x

A: Topic:- application of integration

Q: Find the slope of the curve (of the tangent line) for the given value of x. 1) у %3Dх3 - 8х, х %31

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Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3)…

A: Given x3+y3-6xy=0 We have to find slope of tangent line at 43,83

Q: Find the slope of the tangent line to the graph of the function at the given point. y = In x y 10…

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Q: The slope of the tangent line is

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Q: Which of the lines in the Figure are tangent to the curve? In your own definition, what is a tangent…

A: Find tangent lines from the curve.

Q: Would it be more difficult to find the points where there is a horizontal tangent line to this…

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Q: Show that the curve for which the normal at every point passes through a fixed point is a circle.

A: We know the equation of a circle is represented by (x-h)2 + (y-k)2 = r2, where (h, k) is centre and…

Q: Verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal…

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Q: Given that the graph of J (X) passes through the point and that the slope of its tangent line at +…

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Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3)…

A: We have to find slope

Q: Find an equation of the tangent line to the curve at the given point.

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Q: Find the equation of the tangent line and the normal line of the curves at given point 1. x? + y? -…

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