O Find an equation of the line which is tangent to f(x) = sin(2x) when r = T/6. O Verify that the point (0, 1) lies on the curve 22 + y + y³ = 2e=Y and compute an equation of the line which is tangent at (0, 1).

Q: . Find an equation of the line tangent to the curve y = 2 + sin(rx) at a = 1.

A: Given curve is y=2+sinπx at x=1 findequation of line tangent to the given curve

Q: Find the equation of the line tangent to the curve xy^3+xy=6 at the point (3,1). When the equation…

A: Firstly, we will find derivative And then we can solve for y'and we get

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. x-…

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Q: . Find an equation of the tangent line y = e* that is parallel to the line x – 4y = 1.

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Q: 1. Write the equation of the line tangent to f (x) =1 + e*sin(2x) when x = 0. %3D %3D

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Q: For x^2 tan(y)+6x=12 Find the equation of the tangent line at (2,0) and find the equation of the…

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Q: Determine the equation of the tangent line and the quadratic approximation to the function z = e2"…

A: Given function is: z=e2x To find the equation of the tangent at a point x=x0 to curve y=fx,…

Q: 3. Find the equation of the tangent line to the graph of y at the point (1,0) given 2r² where r> 0.…

A: Given that: xy+1x2=2x2+y

Q: Find an equation of the line tangent to f(x) = xcos x at x=-4. (Round coefficients to 3 decimal…

A:

Q: Find an equation of the tangent line to the curve y = 2x sin x at the point (, n) O A. y = -2x O B.…

A: According to our guidelines, we can answer only one question, other questions can be reposted.

Q: Find the equation(s) of the tangent line(s) from xy^2-y-2=0 at x=1 (Use implicit differentation)

A: Put x= 1 to find the values of y and then find the equations of tangent.

Q: Consider the curve in the xy-plane represented by the two equations below. The slope of the line…

A: Solve

Q: 1) Find an equation to the line tangent to y = (x – 3) 2 at x = 0.

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Q: Find the equation of the tangent line to the curve y= x +4 e at the point (0,4). O A. y=4x+5 O B.…

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Q: 3. Find an equation of the tangent line to the curve at the point corresponding to the given value…

A: it is given that; x=et   ; y=ln(t+1) at t=2 at t=2 ⇒x=e2 and y=ln(2+1)=ln3

Q: (b) Find the equation of the line normal to the tangent at the point (1,4) on the curve x'y+ xy =…

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Q: Find f (3) and f' (3), assuming that the tangent line to y = f (x) at a = 3 has equation y = 5x + 2.

A: Tangent to a function at a point is a line which just touches the graph of the function at that…

Q: Consider the following curve. 1 + x y = 4 + ex Find y'(x). -ex + 4 (4+ e*)² y'(x) = ot2 1 Find an…

A: According to the problem, we have

Q: Find the slope of the tangent line to the path of a carnival ridex=8 cos(t) + sin(81), y = 8 sin(t)…

A: The slope of the tangent is dydx.

Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

Q: Find the equation of the line tangent to y = x sin(x) at the point where x = π.

A: Given:y = x sin(x) at the point where x = π.At x = π, y = π sin(π) = 0

Q: 3. Find the equation of tangent line to the curve 2x – y + 3 = 0 x = t – 1, y = t³ + 1 parallel to…

A: Equation of tangent line is given by- y - y1  = m (x - x1)

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: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x =…

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

A: Using equation of tangent formula.

Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

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Q: Find an equation of the line tangent to graph of y =x2 + sin (Ex) at x=-1. A. 2x - y+2 = 0 B. 2x +…

A: To find the equation of tangent line of the given graph.

Q: -Find the equation of the tangent to the function y = sin x at x = t/4

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Q: Find the slope of the tangent line to y = sin x tan (즉) m =√3 2 m = T√√3 3 m = -√3 3 None of the…

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Q: What is the equation of the line tangent to the curve e + cos(x) =1 at the point.0 A y=x+ B y=0 y=x-

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: An equation of the tangent line to the curve y= cos(x) at a = T/3 is (- 7/3). %3D y =

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Q: 3) Let x = t2 - 1 , and y = e2 . Find the tangent line to the point (0, 1) .

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Q: 3n Find an equation of the tangent line to y = 7 sin(x) at x = .

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/2

A: Consider the function  y=3x(cosx) Point : π2,π2

Q: (a) Find the slope of the line tangent to the curve y = sin x at the point where x = T/3. (b) Show…

A: (a) we have to  find the slope of the tangent line to the curve y=sin5x at the point where x=π3. as…

Q: 8. Find the equation of the tangent line to the curve x = In t , y = 1 + t² when t = 1. %3D

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Q: Find dy dx for sin(xy) + y³ = x² + 1 and use it to find the equation of the tangent line at the…

A: use differentiation for finding the equation of tangent line.

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

A: Given, curve and point

Q: - Find an equation of the tangent line to the curve sin(r+y) = 2y – 21 at the given point (-7, –x).

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Q: 8. Find the equation of the tangent line to y = sin (r) cos(r) at

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Q: 3. Find Hhe to the (1,2) slope of the tangent live r=2-sin@ at the point curve

A: Then we plug this in the slope formula of the polar curve

Q: 12. Find the equation of the tangent line to f (x) = x³ at the point P(1,1).

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Q: Find the slope of the tangent line to the curve y = g²+4r+7 at the point (0, 3). 7a+2 Determine da…

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Q: B) Find the slope of the line tangent to the curve y = sin3x at the point where x =

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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)

Q: Q3) Find the equation of tangent line to the curve y/sin(x) +y²=2 at the point (,1).

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Q: Find the equation of the tangent line to the curve xy +xy 12 al the point (6, 1).

A: