Is there a smooth (continuously differentiable) curve y f(x) whose length over the interval 0sxsa is always 2 a?

Q: Make the curve y=ax*+bx³+ cx²+ dx+e pass through the points (0,3) and (-2,7) and at (1,4) have a…

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Q: Find the equation of the tangent line to the curve J (x) = ta n(x) in point-slop %3D at x =

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Q: 5. Show that the equation of the tangent to the curve y = Inx + kx at x = 1 always passes through…

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Q: Find the slope of the tangent line to the graph at the given point.

A: Slope of the tangent line is the derivative of the given function at the given point. So…

Q: The slope of the tangent line to the graph of f(x) D x2 at a = -1 is: %3D %3D

A: Given  equation of the graph  f(x) = xx2-x                        ...........(1) We have to find the…

Q: Is there a smooth (continuously differentiable) curve y = ƒ(x) whose length over the interval 0 ≤x ≤…

A: Here it is required to find a curve.

Q: Is there a smooth (continuously differentiable) curve y = ƒ(x) whose length over the interval 0<=…

A: Given there is a smooth (continuously differentiable) curve y = ƒ(x) whose length over the interval…

Q: Find the equation of the tangent line to the curve f(x) = - -x4 at x = 1. O T(x) = 1 + (-4)(x - 1) O…

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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: The slope of the tangent line to the curve tanxy) + y= 2 at x=0 is O a 2 O b.-2 Oc-1 O d. 1

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Q: Find the equation of the tangent line at the given value of x on the curve. 3y +xy-y%3D375X"; x-1…

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Q: Find an equation of the tangent plane to the graph of f(x, y) = In(4x² – 2y2) at the point (1, 1). z…

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Q: Prove that the curves y=f(x),(f(x)>0) and y = f (x)sin x, where f(x) is differentiability function,…

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Q: Find the equation of the tangent plane to the graph of g(x, y) = ln(6x² – 3y²) at the point (1, 1).…

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Q: tangents are drawn from the origin to the curve y=sin x.Prove that their points of contact lie on…

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Q: Find the question of the that is tangent to the curve y=-3 cos2x at x= n/6. Express with exact…

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Q: The slope of the line tangent to the graph of y = In(x²) at x = e² is %3D

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Q: Find the equation of the tangent line to the graph of y = f(x) at r = 3. %3D f(x) = In(x – 6|) y =

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Q: Find the equation of the tangent line to the function f(x) = -3x2 – 2x at the point where x form y =…

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Q: At how many different values of x does the curve y =x+ 2x have a tangent line parallel to the line…

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Q: Find the point where the tangent line to y = x* at x 0.3 crosses the x-axis. x-intercept =

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Q: Tangents are drawn from the origin to the curbe y=sin x.Prove that their points of contact lie on…

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Q: Tangents are drawn from the origin to the curbe y = sin x.Prove that their points of contact lie on…

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Q: Determine the points in the interval (0, 2T) at which the graph of the function below has a…

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Q: Find the slope of the tangent line to the graph at the given point.

A: Slope:  The slope of a line measures the steepness of the line. The slope is calculated by rise over…

Q: prove that the curve y = f(x),(Ax) >0) and y = (x)sin x ,where fx) is differentiable function ,have…

A: We use the Given Curves, Prove that have a common tangent at common point.

Q: Show that the inflection points of the curve y=sinxxy=sin⁡x/x lie on the curve y2(x4+4)=4.

A: Given: To prove that the inflection points of the curve y=sinx/x lie on the curve y2(x4+4)=4.

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: 20. Does the line that is normal to the curve y = x² + 2x - 3 at the point (1, 0) intersect the…

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Q: x2y2=x2-y2

A: Using method to find locus we get

Q: = Determine the equation of the tangent line to the graph of f(x) = I x+ln x cosh (√2t - 1) dt at x…

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

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Q: on the chain rule find the tangent line to graph y=(x+2/x+1)^2, at x=0

A: We have to find tangent line to y , first we will find  value of y at x=0.

Q: Find the equation of the tangent line to the curve y = f(x) at the given point. y = f(x) = x²-x, at…

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

A: Given:

Q: Find the point where the tangent line to y = x² at x 0.7 crosses the x-axis.

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Q: 24)) Since the tangent of the curve y = x ^ 5 + ax - 3 at the point x = 1 is y = x -b, then b =?

A: Given that y=x-b is the tangent of the curve y=x5+ax-3 at the point x=1.

Q: Show that the tangent lines to the curve y = (paisin x)/x at x = pai and x = -pai intersect at right…

A: y=π sinxx Differentiating with respect to x, we get dydx=ddxπ…

Q: Find the equation for the tangent line to the curve f(x)=cos(x)-2sin(x) at the point (0,1). O y=-x+1…

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Q: Find an equation of the tangent line to the graph of f(x) = e×/2 In(x) at its inflection point.…

A: The point of inflection is the point where the second order derivative of the function becomes zero.…

Q: The point on the graph of f(x) = 1 where the tangent line is parallel to the line 3z + y = 1 is: %3D

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: The line that is normal to the curve x2 + 2xy - 3y2 = 0 at (1, 1) intersects the curve at what other…

A: Given thatx2 + 2xy – 3y2 = 0          …(1)On differentiating equation (1) with respect to x,

Q: Find all points ( x,y) on the graph of f(x) = 3 x² – 4x with tangent lines parallel to the line y=…

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Q: Find the equation of the tangent line to f(x) =3cscx+xsinx at X= 2 A y=x- 3 y=x+3+ 2 y=x+3 y=x+3-

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Q: Suppose the curve y=f(x) has a tangent line y=4x-5 at x=1. Consider the function g(x)=2f(x)+x+1 What…

A: equation of tangent is y=4x-5 therefore equation of curve whose tangent is y=4x-5 ,…

Q: Does the graph of the function y = tan x - x have any horizontal tangents in the interval 0 sx <2n?…

A: We get the slope y' of the tangent to the function y=tan x-x by differentiating it with respect to…

Q: Find the equation of the tangent line to the curve f(x) = x³ln (x + 1) at the point (0, 0).

A: The given curve is: f(x)=x3 ln(x+1)

Q: Find an equation of the tangent line to y = f(x) arctan(x) at = V3. x =

A: We have to find equation of tangent line

Q: Find the x-coordinate of the point on the graph of y=x^2 where the tangent line is parallel to the…

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