Find an equation of the tangent to the curve at the point corresponding to the given value of parameter. (a) x = t³ + 1, y = t + t; t= -1 (b) x = t cost, y = t sin t; t = T (c) x = sin nt, y = t +t; (0,2)

Q: 4. Determine the equation of the tangent line at the indicated point a) y = cos x at x = 7 b) y =…

A:

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…

A:

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

A:

Q: (b) Find the equation of the tangent line to the curve 8x²y3 – 5x2 + 7y3 = 10(x – 3y), at the point…

A:

Q: (4) Find the equation of the tangent line of y = /1+4 sin x at the point %3D (0,1).

A:

Q: Find an equation of the tangent to the curve at the given point. x = cos(t) + cos(2t), y = sin(t) +…

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

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A:

Q: Find an equation of the tangent line to the following curve at the given point. y = e9x cos πx,…

A:

Q: The slope of the tangent line to the curve y^2 = 5x – 1 at P(1, 2).

A:

Q: Find the equation of the tangent line to y = = at x = 1. y - V2 = - V7 (x - 1) A) E (x - 1) -- x y -…

A: The solution is given as

Q: 1. Find the equation of the tangent line to the curve: x = = VE, y = et %3D at t=1.

A:

Q: 36 at the point (1,12). x2 +2 Find an equation for the tangent to the curve y D O A. y= - 8 O B. y=…

A: The equation of the tangent line: - A line's point-slope formula is y – y1 = m (x – x1). To…

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A:

Q: Find the equation of tangent to the curve given by x=d' cos' y-a sin'o at point VE(x+ y) = a b)…

A: x=a3cos2∅y=a3sin3∅

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

A:

Q: Find the equation of the tangent line to the curve y = (5 In(x))/x at the points (1, 0) and (e,…

A: Formula of equation of tangent is y-y1 = m(x-x1)

Q: 1. Find the equation of the tangent line to the curve at the indicated point. y = (1 + x) cos x, (0,…

A:

Q: Find the 3rd derivative of the function given by the parametric equations x=1+sint, y=t−cost at t=0.

A:

Q: The equation of the tangent to the curve y=4+ sin' x at X=0 is O y = 4 O y = 2 O y = 6 O y = 3

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: What is the equation of the curve whose tangent line passes through the point sec (In x) dx? (1,2)…

A:

Q: Find the equation of tangent and normal lines to the curve xs sin(2y) = y cos(2x) at the ㅠ ㅠ point…

A: Solution of this question is

Q: An equation of the tangent line to the curve y = sin(x) at x = Зп /4 is %3D y = - (х — Зп /4) .

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

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

A:

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: 4. Find the equation of the tangent line to the curve y = 4+ e2 sin at the point (0, 5).

A: First find the slope at given point with the help of derivative than write the equation of tangent…

Q: Find the equation of the tangent line to the curve y = 6 sin x at the point (T/6, 3).

A:

Q: Find the equation of the tangent line of the curve y = sin x + cos x at the point A ( π ,√2 ) .…

A:

Q: 3. Find the equation of the tangent to the curve 3xy-y²= 7 at the point (.1).

A: Follow the procedure given below.

Q: Find the equation of the tangent line to the curve y = Vx – 3 at the point (4, 1). - o y = }x - 3 2…

A: Explanation of the answer is as follows

Q: d the equatiom of the tangent line to the curve xy – 7 = Vx + y² at the point (5,2).

A: For finding tangent line to the curve , find the derivative of the function and put the value of…

Q: 22. Find an equation of the tangent line to the curve at a given point y = e* cos(x), (0, 1)

A: Given:      Curve y=ex cosx     point =0,1   Finding slope m of the tangent evaluating the…

Q: Find an equation of the tangent to the curve at the given point. x = cos(t) + cos(2t),    y =…

A: Given

Q: Find the equation of the tangent line to the curve at the point (-÷5) (글 given a cos(2 y) = 0. V3 a)…

A: We need to find the equation of the line.

Q: 3/20 What is the equation of the tangent line to the function y = e*- arcsin) at x= 0 ? A) y- -(1+)=…

A:

Q: Find an equation of the tangent to the curve x=cos(t) + cos(2t) , y=sin(t) + sin(2t) at the point…

A:

Q: 2- Find the equation of the tangents to curve given parametrically by Y= sin(x²) + 1 at (x,y)= (…

A:

Q: II. Find the equation of the tangent line to the curve z2+V#j+y² = 19 at the point (1, 4).

A:

Q: Equation of the tangent to the curve y = 1+eX/2 at x = 0 is O x+2 y =4 2x + y = 0 2y -х- 4 O x+ 2y =…

A:

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

A:

Q: curve at the following point:  y = 2/ 1 + e-x, (0,1)

A:

Q: a) Differentiate implicitly to find for the equation x cos y = x2 y2 +1 dx %3D b) Find the equation…

A:

Q: I attached a picture of the question

A:

Q: Find an equation of the tangent line to the curve at the given point by both eliminating the…

A: Given that      x = 6 + ln(t) , y = t2+7 ,(6,8) Here we have to find an equation of the tangent line…

Q: find the line tangent to the curve y=cos(x) at the point (π/4, 1/√2)

A:

Q: 1. Find the equation of the tangent line of the curve cot (x + y) – sin (x - y) = 1 at (0, n 2 ).

A:

Q: 2 Find the equation of the tangent to the curve y = sin x at the point where x = . 3

A:

Q: 4. Find the equation of the tangent line to the curve at the specified value of the parameter: x =…

A:

Q: Find an equation of the tangent line to the curve 2 sin(xy) − y2 + 2x+1=0 at the point (0, 1).

A: Given, f(x,y)=2sin(xy)-y2+2x+1 at the point (0,1)