Find the angle between the radius vector to the curve r = 2a sin 30 and its tangent when 0 = /6.

Q: Write the equation of the tangent line to the curve “ sin x cos y + y = π − 3x sin y ” at x = 0 .

A: Given: sin x cos y+y=π-3xsin y at x=0 To find the equation of the tangent line. The formula for…

Q: Find the slope of the tangent line to the curve r = 5 cos(0) at the point specified by 0 = 3.

A: We have to find the tangent equation.

Q: At what points (r, 0) on this curve are the tangent lines horizontal? Use 0 < 0 < 2n. r = 1- sin 0

A:

Q: Find an equation of the tangent line at the point specified. y = 4 sin x + 6 cos x, X = 0

A: To find An equation of the tangent line at the point specified

Q: Find the equation of the tangent line to the curve x 1- cose, y = 0 -sin0 at 0=. 4

A:

Q: tangent

A:

Q: |x = 3 sin´ (3t ) +1 ;teR = 2 cos (3t)–1

A:

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 sin-(x - 2y) = 2xy – 1 %3D (1). at the point

A: Given,            The equation of the line is sin-1x-2y=2xy-1 and the point is 1,12.We know that,…

Q: Find the slope of the tangent line for the curve r = 4 – 5 cos 0 when 0 6 %3D -

A: r=4-5cosθ

Q: Find the points on the given curve where the tangent line is horizontal or vertical. r = 1- sin 0

A:

Q: Find the length of the curve y2 = x3 from the origin to the point where the tangent makes an angle…

A:

Q: Find the slope of the tangent line for the curve r = 8 – 6 cos 0 when 0 4

A: Consider the provided curve, r=8-6cosθ where θ=π4. Find the slope of the curve. First we converting…

Q: What is the equation of the line tangent to the curve ev + cos(x) = 1 at the point (G, 0)?

A: Given curveey+cosx=1Differentiate given curve with respect to…

Q: Find the equation of the tangent line to the curve y = sin x cos x at x = π/4 (Coefficients must be…

A:

Q: The angle between tangent and the radius vector of the curve r 5(1- sin@) at 0= is %3D

A:

Q: Find an equation of the tangent line at the point specified. y = 4 sin(x) + 6 cos(x), x = 0

A: We have to find equation of tangent line

Q: Find an equation of the tangent line at the origin to the curve 1+ sin(x + y) = xy + cos y.

A:

Q: Plot the astroid x = cos3 θ, y = sin3 θ and find the equation of the tangent line at θ = π/3 .

A:

Q: Find the slope of the tangent line for the curve r = - 6 – 5 cos 0 when 0 2

A:

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 an equation of the tangent line at the point specified.

A: Consider the function Find the value of the function when t = π/3. Therefore, we have the tangent…

Q: Find the slope of the tangent line to the sine function at the origin. y y = sin(3 x)

A: Slope of tangent line to the curve is given by first derivative of curve at given point .

Q: Find the equations of the tangent lines x = 2 − π cos t, y = 2t − π sin t at the point where the…

A: Given :       x=2-πcost, y=2t-πsint

Q: Find the angle between the radius vector to the curve r = 2a sin 3u and its tangent when u = pai/6.

A:

Q: Graph the curve x = cos t + 2 cos 2t y = sin t + 2 sin 2t to discover where it crosses itself.…

A:

Q: Find the points on the curve where the tangent line is horizontal and vertical. r = 1 − sin θ

A: In the question it is asked to find the points of tangent line (horizontal and vertical) to the…

Q: Find the slope of the tangent line to the 1 cos(t) at the point parametric curve ly = 3 sin(t)…

A:

Q: Show that the curve  x = 3 cos(t), y = 5 sin(t) cos(t)  has two tangents at (0, 0) and find their…

A:

Q: Find the equation of the tangent line to y = 14e cos(x) at x 0. %3D

A:

Q: Find the slope of the tangent line to the curve 5 sin(æ) + 3 cos(y) – 4 sin(x) cos(y) + x = 7n at…

A:

Q: Find an equation of the tangent line to the curve at the given point. sin(sin(x)), (37, 0) y

A: The given expression is,

Q: Find the slope of the tangent line to the curve 2xy + 4* = y2 – tan(2x) at the point (0, 1). Give…

A: Given curve:      2xy + 4x = y2 - tan2x   slope of the tangent line  =  ?

Q: Find the equation – in any convenient form – of the tangent plane to z = x² sin(x+2y) at the point…

A:

Q: Find a point on the curve y=√x, where the tangent makes an angle of 45 degrees with the positive…

A:

Q: Find equation for the tangent line at (-l,1) , then an to the curve y= | sketch them togethor

A: Recall: Slope -point intercept form: y-y1=m(x-x1) ; where (x1,y1) is given point and 'm' is the…

Q: Find the equations of the tangent lines x = 2 sin 2t, y = 3 sin t at the point where the curve…

A: Consider the given equation as x=2sin2t, y=3sint

Q: Find an equation of the tangent line at the point indicated.

A:

Q: Find an equation for the line tangent to the curve 2 sin(20) - cos(30), y- sin(40) + 3 cos 0 at 0 =…

A:

Q: Let ℓ be the tangent line to the parabola y= x2 at the point (1 ,1). The angle of inclination of ℓ…

A: Given equation of parabola,y = x2       ................(1)Slope of line l is m,m = tanϕ = dydxat…

Q: Find an equation of the tangent line to the curve atthe given point.y =sin ( sin x) ,…

A: Find an equation of the tangent line to the curve atthe given point.y =sin ( sin x) ,…

Q: Find the equation of the tangent line to the curve x = 1 - cose, y = 0 -sin0 at 0= 4 -

A:

Q: Find the points on the curve r = 1– sin 0 - where the tangent line is horizontal or vertical.

A: To find out the points on the given curve, where the tangent line is horizontal or vertical.

Q: Find an equation of the tangent line to the y = sec(x) – 6 cos(x), P = 3 y =

A:

Q: Find the tangent plane to the equation 3y cos(5x – 4y) at the point (4,5,15)

A: z=3y cos5x-4y Let, Fx,y,z=3y cos5x-4y-z=0  ......(1) Now,  Fx=∂Fx,y,z∂x=-3y sin5x-4yx5-0…

Q: . Find an equation of the tangent line to the curve sin(x + y) = 2x – 2y at the point (π, π).

A:

Q: Find the slope of the tangent line to polar curve r = 8 sin 0 at the point

A:

Q: Find all the points where r = 2 + sin theta has vertical and horizontal tangent lines.

A: Consider the given question,Express the given polar equation in the parametric form as follows,

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

A: