Determine the length of the curve obtained from the graph of the function e +e=* f(r) = from r = -1 to r = 1. CS Scanned with CamScanner

Q: If the normal to the curve y=f (x) at the point(3,4) makes an angle of 3/4pi with the positive…

A: Near the point of tangency, say (x0, y0), the slope f'(x) of the curve f(x) is approximately equal…

Q: Find the slope of the tangent line. y = cos3x at x= -5pie/12

A: Given:     y = cos3x      At x = -5π/12

Q: 3n If the normal to the curve y = f(x) at the point (3,4) makes an angle with the positive x-axis, 4…

A: (a) Normal to the curve y=fx at the point 3,4 makes an angle 3π4 with the positive x-axis then we…

Q: The tangent line to the graph of y = g(x) at the point (1, 4) passes through the point (2, 3). Find…

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Q: find the slope Of the followiny functions at the gruen point: at Xo to JL

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = arcsec 4x…

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Q: Find an equation of the tangent line to the graph of the function                     y = (−1/4)…

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Q: Find the point(s) on the graph y = x3 where the line through the point (4, 0) is tangent to y.

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Q: ) Find an CIuation of the line tangent to the graph of Gec)=6e3X x tal dou2 o the Point (0,6). at

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Q: FIND THE LENGTH OF THE CURVE y = In sec X from X = 0 to X = - 4

A: Given curve is y= lnsecx .  We have to find the length of the curve from x=0 to x=π4. Length formula…

Q: Graph the curves ina. Where do the graphs appear to have vertical tangent lines? b. Confirm your…

A: Now the graph is, From the graph, the tangent line is appears to be vertical at x = 0.

Q: The graph of y = f(x) (solid curve) appears below, together with the tangent line %3= to the graph…

A: Given graph of y = f(x) with the tangent line to the graph at (2,0.5) is, To estimate f(2.5)

Q: (b) y = x3 y 2 1

A: Given y=x³ Draw the graph and measure the change in y and change in x

Q: Does the graph of Sx²sin (1/x), x ± 0 f(x) = lo, x = 0 have a tangent line at the origin? Give…

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Q: The tangent lines which was drawn at points A and B on the following y = f (x) function graph are…

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Q: Find the equation of the tangent Iline for the function f(x) = at the point x = 1. Write in the form…

A: The objective is to find the equation of the tangent line for the function f(x)=2xx2+1 at the point…

Q: Find the length of the curve defined by y = 3 ln from x = 8 to x = 9.

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Q: Find the equation of the line tangent to the graph of y = 3x cos x at the point (π, −3π).

A: Given Data: Equation: y=3xcosx Point: (x1, y1)=(π, −3π) The derivative of the given equation of…

Q: Find the arc length of the graph of the function f(x) = 2√³ from * = 2 to x = 6.

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Q: Sketch a graph of y = 2 on [-1, 4] and use geometry to find theexact value of function given

A: Given : y=2 on -1,4 The graph is shown below: The shaded region is the required value of ∫-142dx

Q: If the normal to the curve y-f(x) at the point(3,4) makes an angle of Pi with the positive x-axis…

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Q: ngent line to the curve y= In(x4 + 1) at x

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Q: The tangent line to y = f(x) at (0, –8) passes through the point (7, 4). Compute the following. a.)…

A: Given: y = f(x) at (0,-8) Passes Point ( 7,4)

Q: Find an equation of the tangent line to the graph of the function f(x) = esec(x) at the point (*,…

A: We have to find the equation of tangent line to the graph of function fx=esecx at the point π4, e2.…

Q: Find an eqaution of the tangent line to the curve at the given point. y = √x, (1,1)

A: We have to find the equation of tangent line to the curve: y=x at the point 1, 1 We know equation of…

Q: y = -V16 – x², — х2, -4 < x < 0.

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Q: Find the set of all values of x at which the line 3x-y+k= 0 is a tangent line to the -3 curve f (x)=…

A: We need to choose correct option.

Q: Find the equation of the tangent line to the graph of the function f (x) = 4xcosx + 3 at the point…

A: Given that: f(x)=4x.cosx+3 at point (0, 3)

Q: find the length of the curve on the given interval: y = 4/3 (x+1) ^ (3/2), [0,3]

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Q: Graph the curves ina. Where do the graphs appear to have vertical tangent lines? b. Confirm your…

A: Given function is: y=x15

Q: Determine the tangent to the curve 3y2 = x3 at (3,3) and calculate the area of the triangle bounded…

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Q: 2) Find the point(s) at which the graph of f (x) = has a horizontal tangent. x2+1 %3D

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Q: Find the length of the are of the e curve from point K(8,8) to M(!,5, -Y= -4

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Q: Find the equation of the tangent line to the curve y=4+e2sinx at the point (0,5).

A: our objective is to find the tangent line equation.

Q: 7. Find the length of the curve y= x'+ I from x = 1 to x . 12x Give your answer as a simplified…

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Q: Does the graph of Sxsin(1/x), x + 0 g(x) 1o. x = 0 |have a tangent line at the origin? Give reasons…

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Q: Find the arc length of the graph of the functionf(x) =x^3/2 fromx= 0 tox= 4.

A: Given,        The arc length of the graph of the function fx=x32 from x=0 to x=4.We know that,…

Q: Sketch a curve with the following properties. 0, for x> 12

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Q: 7. Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. Show all steps

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Q: find the slope of the curve x = e^-tcost2t, y=e^-2tsin2t at the point t= 0

A: find out the slope of the curve at t=0

Q: a) Calculate the length of the curve defined by x = -3 )on the interval 1 sys9.

A: (a) Given that, x = 13 y (y-3) on the interval 1 ≤ y ≤ 9   We have to calculate the length of the…

Q: Find the slope of the tangent line to the curve y = arctan(13x +e) at the point (0, 7/2).

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Q: Find all values of x at which the tangent line to the curve x + 7 is perpendicular to the line y =…

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Q: plot the curve x^3+y^3=6xy together with the tangent to the curve at the point(4/3,8/3). Show all…

A: The given curve is: x3+y3=6xy              .....(1) Now find the equation tangent to the curve at…

Q: Find the arc length of the graph of the function f(x)=5√x3 from x=3 to x=7.

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

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Q: Find the slope of the tangent to the curve y-x cos 3x at *- O al o Ob) 1 Od) 3

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Q: Find the slope of the line tangent to the curve at the given point y%3D25 sin x; x = F/3

A: We find dy/dx

Q: Find the values of æ where the tangent line to the graph of f(x) 1 is parallel to the line y = – 6x…

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