1. Use Fermat's principle to find the path followed by a light ray if the index of refraction is proportional to: nc Vy

Q: Write the equation of the tangent line to the graph exy + cos v = + COS at He %3D point (-0.3, 2.12)

A:

Q: 134 Find the slope of the tangent line to the graph at the given point. Cissoid: 4y2 – xy2 = x³ %3D…

A:

Q: 5. Determine the equation of the tangent line to (a) r=2 sin 0 at 0 6 (b) r=1+cos 0 at : 2

A:

Q: Find the equations of the tangent line in the given plane. Given: v = (3t - x)e-2t

A: Given function - v = 3t-xe-2tWe need to find ∂2v∂t∂x,Concept - We need to partially differentiate v…

Q: 4) a²y=+52y =14 yat (2,1) Find equátion of tangent?

A: Equation of tangent  y-y1=m(x-x1) (x1,y1)are the points at which equation of tangent is to be…

Q: Show that the tangent lines to y = x – x2 at are parallel if a = b or a +b = 2. x = a and at x = b |

A:

Q: v = (3t - x)e-2t

A: v=3t-xe-2t Partially differentiating with respect to t, we get…

Q: Find an equation of the tangent line to the astroid at the (3√3, 1).   x2/3 + y2/3 = 4

A: Given an astroid equation find the equation of tangent at a point.

Q: 1- Find the equation of the tangent to the 2(x + y?)? = 25(x² - y?) at (3,1)

A: As per Bartleby's expert answering policy, we can answer only one question, so kindly post the…

Q: Find the equation of the tangent line at the given point on curve.

A: According to power rule of differentiation ,ddx(xn)=nxn-1 and and according to product rule of…

Q: A curve is defined by y=(1/3)sin(2x+1). Evaluate the angle between the tangent to the curve at x=2,…

A:

Q: Question 3: Find the equation of the tangent plane to z = In(x²y) – x/ỹ at (-;,4). Question 4

A: To find  The equation of a tangent plane at the given point.

Q: Ħ! Find the equation of the tangent line to the graph of f(x)= and is paralle I to the line x+2y=6…

A: A parallel line will have an equal slope.

Q: Find the length of the path over the given interval. (2 cost − cos 2t, 2 sin t − sin 2t), 0 ≤ t ≤…

A: x(t)=2 cost − cos 2t y(t)= 2 sin t − sin 2t interval- 0 ≤ t ≤ π/2

Q: 15 dy dt 2-

A:

Q: What is the equation of the line tangent to the curve e" + cos(x) = 1 at the point (6,0)? A y = x -…

A: Given, The equation of the curve ey+cosx = 1 We have to find the equation of the line tangent at the…

Q: 6. The slope of the line normal to the graph of y = 2 In(sec x) at x is 4

A:

Q: #1 Find the equation of the tangent line to y:R @ x- -4 Provide answer in point-slope form dy %3D

A: Differentiate at given point then use equation of line

Q: Find the equation of the tangent line to the curve y = 2 In (22 at the point (1, 2) . (Hint:…

A:

Q: If y = eex the y' - y" + exy' is equal to?

A: The given equation is y=eex

Q: 1. Use four equal-length Hermite curves to interpolate y = sin(x) in the interval [0, 2r].

A:

Q: Find the slope of the tangent line to the graph at the given point. + y3 - 6xy = 0, (4/3, 8/3)…

A:

Q: Show that an equation of the tangent line to the graph of = 2 at the point (a, b) is given by a b.…

A:

Q: 1. Find equations of the tangent line and normal line to the following curves: 2x a) y = at the…

A: a) Given curve is y=2xx2+1 Given point is 1,1. Differentiating the given curve with respect to x,…

Q: what is the equation of the tangent line to the graph of xsin(xy) = (√2)/2 at the point (1, pi/4)

A: iven:xsin(xy)=12

Q: Ex: If w cos(uv), u = = xyz, y = π 4(x²+y²)' aw find at point (1, 1, 1). əx

A:

Q: 3z cos(z)dz

A:

Q: 46. Show that the sum of the x- and y-intercepts of any tangent line to the curve Vx + Jy = \c is…

A:

Q: Use an appropriate local linear approximation to estimate the value of cos(29°). cos(29°) -

A:

Q: Let C be the shortest path that connects a to ni and I = fe (sinhz + 1)dz. Then None of these…

A:

Q: tan st e dt 2

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: If the tangent line to y = f(x) at (3, 2) passes through the point (0, 1), find (3) and r(3). (3) =…

A: In this question, we need to find f(3) and f'(3).

Q: Vehicle A is headed due west from a fixed point P at a rate of 45 miles/hour. Vehicle B is headed…

A:

Q: Find an equation of the tangent line to the following curve at the given point. у %3Dех сos пх, (0,…

A:

Q: Calculate the length of the path over the given interval. (sin 3t, cos 3t), 0 <t<+

A:

Q: ind the iquation of a tangent line of to the graph of at the pont (2, f).

A: Let's find.

Q: Find the equations of the tangent and normal lines to the graph of  (x^2 + y^2)^3 = 8x^2y^2 at…

A:

Q: Find the slope of the tangent to Ax) = x²e* at the point (1, e). a) e b) 1 c) 3e d) 2 + e

A:

Q: aph of given equation at (1,-1/2)

A: The graph given is , x2-4xy-3=0 . Differentiate the equation with respect to x,…

Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3)…

A: We have to find slope

Q: The slope of the tangent line to the graph of y = In(ry) at the point (e, 1) is .2 Select one: a.-e…

A:

Q: 18 of 20 Find the equation of the tangent line to the curve y = Vx+2 at the point (2, 2). y = 금z + 2…

A:

Q: 10. If e is the acute angle between the surfaces xyz = 3x + and 3x - y + 2z = 1 at the point (1 -2…

A: We have to solve given problem:

Q: tb is the equation af the tangent line f cx) = x² - x If m X to the guaph of at x =1 then m= b=

A:

Q: Find the slope of the tangent line to r = 3+8 sin(0) at 0 = %. %3D 2/2 3 2/5 7 3/7 O 11/3 5/3 13…

A:

Q: The slope of the tangent line to the graph of y = In(ry) at the point (e, 1) is

A: