a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to the curve at the given point. sin y+ 4x=y; a. Verify that the point is on the given curve. When x = 4 and y = r, both sin y+4x and y are (Type an exact answer, using a as needed.)

Q: Find the equation of the tangent line to the curve y = 2 sin æ at the point (, 1). The equation of…

A: Let (?/6 , 1) =(x1 , y1)  Using the slope - intercept formula : ( y - y1) = m( x - x1 ) or y =mx +b

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.

A:

Q: Find an equation of the line tangent to each of the following curve at the given point. y + Vxy = 6;…

A:

Q: to 47° C

A:

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.

A: Given: y=x2-x, P4,-2 We know that for any given functiony=fx slopem of tangent at pointx1,y1 is…

Q: Find the coordinates of the point in the first quadrant at which the tangent line to the curve 7x –…

A:

Q: Consider the following. co) X = sin y = cos (a) Eliminate the parameter to find a Cartesian equation…

A: x=sinθ2 sinθ2=x θ2=arcsinx θ=2arcsinx

Q: At what points on the curve y=cot x is the tangent line parallel to the line y=-x ? Choose the…

A: Given that: y=cotx

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given, A curve y=x12  and a point P(4,2) (a). To find the slope of the curve a the point P (b). To…

Q: By eliminating the parametert, find a Cartesian equation of the curve. Draw the curve and indicate…

A:

Q: Express the curve by an equation in æ and y given (2 sec(t), 5 tan(t)), 0 < t<÷ and identify the…

A: Given x=2sect, y=5tant and  0≤t≤π4

Q: Find an equation for the tangent line to the curve defined by the equation ?x^2y^2+ xy + y = 1 at…

A: Given: x2y2+xy+y-1=0 for finding equation of tangent for given curve at given point, we need to find…

Q: Find the acute angle between the curves xy = -4 and y2 = 2x  If the correct answer is a =…

A: Given xy=-4 and y2=2x

Q: Find the equation of the tangent line to the curve y = 6 sin a at the point (, 3). The equation of…

A:

Q: the equation of the tangent line to the curve y = 4 sin x at the point equation of this tangent line…

A: We are asked to find the tangent line of the curve.

Q: A graphing calculator is recommended. Let y = 6x sin(x). 3n (a) Find an equation of the tangent line…

A: Given :

Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as…

A:

Q: Find the points on the given curve where the tangent line is horizontal or vertical.horizontal or…

A:

Q: Answer the following: a.) What is the equation of the line tangent to the curve y=x^2 at x=1? b.)…

A:

Q: Find the equations of the lines that are tangent to at the origin the curve X cos t, Y = 0.5(sin 2t)

A: Please refer the attached image for complete solution.

Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

A:

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A: Differentiate at given point and for and slope then use equation of tangent line

Q: Find all points on the curve y = tan x, -p&gt;2 6 x 6 p&gt;2, wherethe tangent line is parallel to…

A: Given, y=tanx, -π2&lt;x&lt;π2

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: The given function is y=x2-4x and the point is 1,-3

Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to…

A: We plug x=1 and y=π/2 in the given function  Since both sides are equal so (1, π/2) is on the curve…

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A:

Q: 30. Find the points on the curve y = tan x, -7/2 <x< T/2, where the tangent is parallel to the line…

A:

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 4 8…

A: Given equation of curve is: x=8sint;y=cost Differentiating with respect to t we get,…

Q: Find the equation of the tangent line to the curve (a lemniscate) 2 2(a? + y?) = 25(æ² – y²) at the…

A: Topic:- application of derivatives

Q: Find the quadrant in which the point P(t) lies if the following conditions are true. (a) cost > 0…

A:

Q: Find the points on the curve y = tan x, -pai/2 &lt;x &lt;pai/2, where the normal line is parallel to…

A: The given curve is y = tanx and normal to the curve is parallel to the line y = –x/2.Differentiate y…

Q: Find the equation of the tangent line to the curve y = 8 sin z at the point The equation of this…

A: We know that the expression for slope of tangent to the curve at a point P(x, y) is: m=dydxp(x,y)…

Q: Given the function f(x)=−2xcos(x), find f′(x). Then find the equation of the tangent line at at the…

A:

Q: find an equation for (a) the tangent line to the curve at P and (b) the horizontal tangent line to…

A:

Q: please help me with this

A:

Q: 2 + 7x = sin(ry²) + y dy Answer: dr Find the equation of the tangent line to the curve at the point…

A: Consider the curve and differentiate w.r.t. "x".

Q: Find the equation of the line tangent to the graph of y=tanx at the following values of x a) x=0…

A: y =tanxa dydx = sec2xx=0 = 1        (0,0) ∴ Equation of line tangent         (y-0) = 1(x-0)     y=x…

Q: Determine the line tangent to y = sin x that is parallel to 2x – 4y = 8.

A:

Q: Determine the slope of the tangent line at the pole to the curve r=√2 -2 sinθ Choices: a) 1/2 b)…

A:

Q: Find the equation of the tangent line to the curve y = 2x cos x at the point (T, -27). The equation…

A: Using formula of equation of tangent.

Q: find the equation of the line TANGENT of the given curve for x=pi/6 y=5cos(2x)

A: Explanation of the answer is as follows

Q: Find the equation of the tangent line to the curve y 8 sin r at the point The equation of this…

A: Given query is to find the equation of tangent line. Since slope of  tangent is given by derivative…

Q: Find the angle of intersection of the following curves r=a(1+sinθ) and r=a(1-sinθ).

A:

Q: Find the slope and concavity of the curves at the given points. r = sin θ,θ = π/6, π/3

A:

Q: Find, correct to two decimal places, the coordinates of the point on the curve y =sin x that is…

A: Given that y=sinx So coordinate point is x, sinx.

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

A:

Q: At the given point, find the slope of the curve and the line that is tangent to the curve, as…

A: Given :2x2y-πcosy=3π(1,π)

Q: Solve for the missing information, given the AB is a tangent line to circle C. 3 cm 45° В AD =…

A: To find: The length of AD. Given: The values are CD=3 cm. Formula used: trigonometric ratio: sin…

Q: , The equation y2(y? – 4) = x²(x² – 5) is known as the devil's curve. Give an equation for the…

A:

Q: Find the equation of the line tangent to the graph of y = sin r at the following values of x. NOTE:…

A: