IL Find the acute angle between two tangent lines at point of intersection between two curves xy = 32 and y² 16x

Q: Find the equation of the tangent line to the curve y = 2xe^x at the point (0,0) in y = mx + b form m…

A: We have the given equation of the curve y=2xex   We have to find the equation of the tangent line…

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 area of the segment cut off from the curve y = sin x, 0 ≤ x ≤ ¹ by the line y = 1/√2. 3r 4…

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Q: What is the value of the slope of the tangent line to the curve *2+4xy + y²=13 passing through the…

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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: Find the equation of the tangent line to y = arcsin(e') at t= 0. II

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Q: Find the tangent to y = cotx at x = - T O A. y = - 2x + 2 π +1 +1 OB. y=2x-- OC. y=2x+1 OD. y=-2x +…

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Q: Find the slope of the tangent line to the curve (2x + 4y+ /2xy = V16 + V12 at the point (6, 1). %3D…

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Q: Explain how to find points on the curve x = f(t), y = g(t) at which there is a horizontal tangent…

A: Consider the following parametric curves. x=ft, y=gt Now, to find the tangent line at a point on…

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: Find the tangent and normal to the curve y=2e-x/3 at the point where the curve meets the y-axis

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Q: Find the equation of the tangent and normal to the curve y = x + x at(0,0).

A: We have to find the equation of tangent and normal for the curve: y=x+x23 at the point 0, 0 We know…

Q: Find the area of the segment cut off from the curve y = sin x, 0≤x≤ n by the line y = 1/√2. H4 34 y…

A: Let's find area of segment.

Q: Find the equation of the tangent line to the curve y = ex/x + ex at (0, 1).

A: Given that curve  y = exx+ex at (0, 1). The slope of tangent any point on the curve is given by its…

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 slope of the tangent line to the curve y = x e× at (2.5,2.5 e 2.5). dy (2.5,2.5 e 2.5) dx…

A: We know that slope of a line is defined by , m=dydx. Therefore, we need to take the derivative of…

Q: Find the points on the curve where there is a horizontal tangent line: x = 5cos(t); y = t³ – 3t2 +…

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Q: Fine the equation of the tangent line to the curve at the point (0, 4) 4+6y = sin(xy^2) + y

A: Given,          The equation of the tangent line to the curve at the point 0,4…

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan Y. (4, 0,…

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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: 2. Find the equation of tangent and normal for the curve xsin2y = ycos2x at

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Q: Find the length of the sub tangent and sub-normal at a point of the curve y=b sin (x/a)

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Q: ind the equation of the tangent line to y = f(g(x)) at x = 1. %3D

A: We have given two graphs of two functions f(x) ,g(x). We have to find the equation of the tangent…

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: Determine the equations of the tangent and normal to the curve y=2xex at (0,0)

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Q: Find an equation for the horizontal tangent to the curve at Q. y = 1+ v2cscx + cotx

A: To find tangent line , find out the slope of the tangent line Take derivative to find out the slope…

Q: Find the slope of tangent to the curve y = sin5x + 3x T 37 %3D at 2 2

A: Given :- Curve is y = sin5x + 3x Coordinates are (π/2, 3π/2)

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: Evaluate the length of the curve: y = 3x + sinx, 0 ≤ x ≤ 1.

A: Let L be the length of curve  F(x) = 3x + sinx

Q: Find the slope of the tangent line to the curve I defined b y 5x²+8xy-4y"= 1B47 atthe point %3D…

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Q: Plot along with its tangent a) x = 2e' y = (2t – 1)² %3D t = 0 %3D in

A: Solution a: Given parametric equation is x=2et,            (1) y=2t-12      (2) at t=0. therefore…

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

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Q: Find the acute angle between two tangent lines at point of intersection between two curves xy = 5…

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (4, 0,…

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Q: Find an equalion of the tangent line to the curve at the given point. y= (1+x) cos x, Co, 1)

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (1, 0,…

A: This question is based on finding equation of tangent plane of function having two variables at a…

Q: Find the equation of the tangent line to the curve y = x(2 - x)² at (1, 1). O a.x - y = 0 O b.x - y…

A: The curve y=x2-x2 at (1,1)

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = = arctan 2, (9,…

A: Follow the procedure given below.

Q: 61. Find the lines that are tangent and normal to the curve y = 2 tan( 7x/4) at x = 1. . %3D TTX

A: The given curve is  y = 2.tan(πx/4) Thr given point x = 1 At x = 1, y = 2*tan(π/4) y = 2 Point is =…

Q: Find the slope of the tangent line of y= e+ xy at (1,0) .

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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 points on the curve y = 2x3 + 3x2 − 12x + 9 where the tangent line is horizontal. a)…

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Q: Find the rate of change f(x, y) = In(2a² + 5y2) at (v2, v2) in the direction making a (positive)…

A: First we have to find the divergence of the given function.

Q: Find the acute angle between the curves y = x2− 2x and y = ex − 1 at the point (0, 0).

A: To find the acute angle between the curves y=x2-2x and y=ex-1 at the point (0, 0)

Q: tangent

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

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