5. Differentiate: a) y=etang b) f(t)=2t2 Find the equation of the tangent line to the curve at the given point. y = V1 +z? 6. at (2,3)

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: Find an equation of the tangent to the curve x = 5 + In t, y = t2 + 2 at the point (5, 3) by two…

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Q: Find the equation of tangent and normal to the curve x sin 2y = y cos 2x at 4 2

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Q: Find equation of tangent line y=4x cos x at the point (π, -4π) y = mx + b where M = and b =

A: To find tangent line .

Q: Show that there is a line that is simultaneously tangent to both the curves y = ex and y = lnx.

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Q: What is the slope of the tangent line to the curve a +y +¢y=3 at the point (1, 1)? O -1 O 1 cannot…

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Q: The line is tangent to the curve y=x2−3 at (2,1). What is the equation of the normal line?

A: On solving this we will get

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: as y y = f(x) (10, 4) Tangent line (4, 2) ive your answer to three decimal places.)

A: G

Q: Consider the curve defined by the equation y3+xy+2=0.  Show that there are no points on this curve…

A: Consider the given curve define by the equation:

Q: Find a point on the folium x3 + y3 = 3xy other than the origin at which the tangent line is…

A: Implicit differentiating both sides of the equation x3+y3=3xy with respect to x. Use power rule of…

Q: Consider the curve defined by the equation y³ + xy + 2 = 0. Show that there are no points on this…

A: Given Equation of curve   y3+xy+2=0  ---(1)

Q: Find the equation of the tangent plane to z = In(x?y) – x/ỹ at (-,4). %3D

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Q: The equation for the tangent line to the curve y=x3 which passes through the point (0,2) is y=mx+b…

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Q: Find the equation of the tangent line on x2 + sin y – ry? = 4 at (2, 0). |

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the tangent line at (1, 0) of the curve xe^y = 2 sin(xy) + cos y.

A: Slope of the tangent is given by the derivative of the function at that point. So first we will find…

Q: Find the point of intersection of the tangent line to y=sin 2x) at y=0 and the line x+2y=5-

A: Given: y=sin(2x)  and y=0       substituting y=0 in y=sin(2x)then    0=sin(2x)         2x=0…

Q: What is the slope of the tangent line to the graph of y = cot-1 V2x +Iat the polnt where z = 0?

A: Slope of the tangent is the derivative of y at x=0

Q: Find the equation of tangent line of curve That is given by parametric equations x=3cost+sint y=e2t

A: The equations are x=3cost+sint,y=e2t The derivatives w. r. t t are given by:…

Q: Compute y / x for the interval [2, 5], where y = 4x - 9. What is the slope of the tangent line at x…

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Q: 1) Find the equation of the tangent line to the curve: x* + xy – y = 7 at (3,2) %3D

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Q: Find the equation of the tangent line and normal line to the curve r+4.ry +y = 13 at (2,1). %3D

A: Let's find.

Q: What is the equation of the tangent line to the curve y = at point (0, 0)? O none of the choices O y…

A: Given :      y = 3√x    Point : (0 ,0)

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: The Tangent Line to a y= f(x) at x = c has slope ?

A: Recall the below fact:

Q: Find the point on the curve y = xe* where the %3D tangent is horizontal

A: Slope of tangent to the curve y=f(x) is defined as mT=dydx(x, y). Slope of horizontal tangent is…

Q: Find the equation of the tangent line to the curve with parametric equations x=cost, y=sint at…

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Q: 4. Find an equation for the tangent plane to the surface z = 3x + 5y + arctan in the point (0, 1,…

A:

Q: Find the slope of the tangent line to the curve 2 sin(z) +4cos(y) –- 3 sin(z) cos(y) + z = 7x at the…

A: The objective is to find the slope of tangent line to the curve at the point (7π, 3π/2).

Q: What is the equation of the tangent line and normal line to the curve y = -8 at (4, – 4)? Оа. TL: 2x…

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Q: What is the equation of the tangent line and normal line to the curve y = at (4, - 4)? O a. TL: x +…

A: We will find the equation of tangent line and normal line as following.

Q: What is the moment of inertia about the x-axis bounded by the curves y² = -16(x-4), the line 8x-15y…

A: here we have to find the moment of inertia about x axis so we can use integration to find this.

Q: 9. Approximate (4.1)² using a linear (tangent) approximation off of the point (4, 16) on the curve y…

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Q: what is the equation of the tangent line to the graoh of y = vx – 1 at (5,10)

A: y = √(x - 1)                      (Given) y = (x - 1)1/2 Now, y' = 1/2 (x - 1)-1/2 (x - 1)' y' = 1/2…

Q: Find the equation of tangent and normal for the curve xsin2y = ycos2x at ,

A:

Q: At what point is the tangent line to the curve y° = 6x² perpendicular to the line 2x – y – 1 = 0?…

A: Given: y3=6x2..(1)2x-y-1=0y=2x-1...2   As we know that, iI two lines are perpendicular to each other…

Q: The equation of tangent line to y =2rsinx at the point (T) is : Select one: a. y=2x O by=-2x+27 O…

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Q: Compute for the interval [2, 7], where y = 3x - 3. Ay Ax Ду Дх What is the slope of the tangent line…

A: we have y= 3x-3at x=2y=3×2-3 =3at x=7y=3×7-3 =18so,∆y∆x = change in y over the intervalchange in x…

Q: Determine the equation of the tangent to the curve y = sinx +cos(2x) at the point 6. 1) Py-1= -(--3)…

A: First I have written the formula of tangent line to the curve at a point , just use that formula for…

Q: Which is the equation of the tangent line to the curve x* +xy = 4 + y at the point (4,6)?

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Q: What is the slope of the tangent line to the curve x2 – xy + y² = 1 at (1, 1)? %3| -1 1 1

A: Given curvex2-xy+y2=1differentiate…

Q: Find the equation of the tangent line to the curve: sin (2x + y) + cos-'(x +2y) 6 at the point Enter…

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Q: Consider the curve satisfying y" = 6x and is tangent to the line y = 5– 3x at x = 1. What is y' (2)?…

A: Given: y''=6xand tangent to the line y=5-3x at x=1To find y'(2)=?

Q: 9. Find the equation of tangent and normal for the curve xsin2y = ycos2x at A

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Q: Find the equation of tangent line to curve x= t^(2)-2t and y=t^(2)+2t at the point t=2?

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Q: (a) Find the equation of the tangent line to the curvey 2 sec x – 4 cos x at the point (÷, 2)

A: Tangent line to the curve y=f(x), where f(x) is a function of x at point x0, y0is given by:…

Q: tangent

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Q: The slope of the tangent line to the graph of x + y + xy = 3 at (1, 1) is Blank 1.

A: Let's find.

Q: Calculate the equation of the tangent plane to z = at (4, 2) y?

A: