16. Find the equations of the tangent and normal lines to the curve 16x* + y* = 32 at its points of intersection with the line y = 2.

Q: Find an equation of the tangent line to the curve y = 2x +3 that is parallel to the line 8x y+3 = 0.

A: Find an equation of tangent line to the curve y=2x2+3 that is parallel to the line 8x-y+3=0

Q: Find equations of the tangent line and normal line to the curve at the given point. yy = √xx xx+1 at…

A: According to the given information, it is required to determine the equation of tangent and normal…

Q: 19. Does the line that is tangent to the curve y = x3 at the point (1, 1) intersect the curve at any…

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Q: 4. Find the equation of the tangent line to the curve y=x-2x+3 at the point (2,3).

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Q: What is the equation of the tangent line and the normal line to y = x2 – 4x + 2 at (4,2)…

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Q: 25. Find equations of all lines having slope −1 that are tangent to the curve y 1/(x − 1). = 1/4…

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Q: 5. Find the equation of the tangent and normal line of 2x+1 y = at point (1,1). x+2

A: A detailed solution is given below     (As per our guidelines, we have to solve only one question)

Q: Find an equation of tangent line at the point (−1, 1) to the curve x^4y^2 + 1 = x^2 + y^3

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: The curve y = ax² + bx + c passes through the point (2, 28) and is tangent to the line y = 4x at the…

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Q: 3. What is the equation of the tangent line to the curve x3 + x² = y which is parallel to the line…

A: Given the equation of the curve y=x3+x2 and the tangent line is parallel to 3y+x-5=0

Q: 4. Find the equation of the tangent line and normal line that passes through the circle (x – 2)² +…

A:

Q: Find the equations of the tangent and normal lines to the curve y=x²-2x-3 that is parallel to the…

A: The given equation of the curve {parabola} is y=x²-2x-3  and the given equation of the straight line…

Q: 7. Find the points on the curve y ve y = -x where the tangent line is parallel to the line y=

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: Find equations of the tangent lines to the curve y = x-1/x+1 that are parallel to the line x − 2y =…

A: Given,        The equations of the tangent lines to the curve y=x-1x+1 that are parallel to the…

Q: 4) Find the slope of the tangent line to the curve 4 y = 3(х3 — 2х2 + 3х — 5) at the point (2,) Give…

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Q: What is the slope of the line tangent to the curve defined by y +xy-x 11 at the point (2, 3)

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Q: Show that the curve of y = 2e2z + 3r + 2r3 has no tangent line with slope 2.

A: The given curve is y=2e2x+3x+2x3. Obtain first derivative as follows. dydx=ddx2e2x+3x+2x3=4e2x+3+6x2

Q: 2. What is the slope of the line tangent to the curve 8x³ – y² = 4 at the point (1,-2)? 3. What is…

A: Since first subparts question statement missed. Answer 2 and 3

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

A:

Q: Find equations of the tangent lines to the curve х — 1 x + 1 that are parallel to the line x – 2y =…

A:

Q: -1 Where on the curve y = (196 + x²)¯ does the tangent line have the greatest slope? NOTE: Enter the…

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Q: Show that the curve y = 2e* + 7x + 8x³ has no tangent line with slope 6. y' = y'[ ? ÷]6, so no…

A: We know that d/dx (x^n) =nx^(n-1) Please see the explanation below

Q: Find equations of the tangent and normal line to the curve y = 3Vx – 2Vx4 at (1,1) |

A: NOTE: Refresh your page if you can't see any equations. . to find the slope take the derivative

Q: 8. Find the slope of the tangent of the curve x² + y² = 10 at the point (1, -3).

A:

Q: Find equations of the tangent line and normal line tothe curve at the given point. y= 6Cosx  (π/3,…

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Q: 2. Find the equation of the tangent line (in slope-intercept form) to the curve y=xvx that is…

A:

Q: 1. Find the equations of the tangent line and the normal line to the curve y = V4x – 3 at the point…

A: 3) Given curve : y=4x-3 To find: The equaton of the tangent line and normal line to the curve y=4x-3…

Q: 7. Find the slope of the line tangent to the curve at the point (2,1). x²y + xy² = 3x %3D

A: 7. The equation is given by x2y+xy2 = 3x                                                ......(1)…

Q: What is the equation of the line tangent to curve defined by x + 4y² = 17 at the point (1, -2)?…

A: equation of line tangent

Q: Find the equation of the tangent and normal line using the stipulated conditions   1.) y = x2 - 5x…

A: Given the equation is y = x2 - 5x The point of intersection line y=6 The equation of the tangent is…

Q: *(1,). What is the equation of the line that is tangent to the graph of y = at (x³ + 1)?

A: We can find the equation of line as below.

Q: Find equations of the tangent and normal line to the curve y = V3 +x² at x = 1.

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

Q: 25. Find the equation of the line tangent to the curve x2 + y2 = 1 through the point (,).

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Q: 2. Write the equation of the tangent line to the curve y = x3 – 6x at the point (2, –4).

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Q: (3) Find an equation of the tangent line to the curve y = 2x² + 3 that is parallel to the line %3D…

A:

Q: 2. Find the equation of the tangent lines and the normal lines to the curve y = 2x² +3 at the point…

A:

Q: 4. The slope of the tangent line to the curve y 4. is: 9 - at the point 9, The equation of this…

A: To find the slope of the tangent line to the curve, y=4x, at the point 9, 49.The  equation of this…

Q: Find the equations of the tangent and the normal at the point indicated. y = x2 - 2x at its…

A: Given that - y = x2 - 2x at its points of intersections with the line y = 3

Q: At what point on the curve y = 4 + 2e* – 4x is the tangent line parallel to the line 4x – y = 5? (x,…

A: Given: y=4+2ex-4x   and 4x-y=5

Q: Find equations of the tangent line and normal line to the curve at the given point. y = x* + 9e*,…

A: The given equation of the curve is: y=x4+9ex.   We have to find  the equation of the tangent line…

Q: 1. find an equation of the line tangent to y = x-3 at point (O,-) %3D

A:

Q: Show that the curve y = 6 x 3 + 5x -3            has no tangent line with slope 4.

A: y=6x3+5x-3 has no tangent line with slope 4

Q: 9. Find the point on the graph of y = x² where the tangent line is parallel to the line 3x – 4y = 4.

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Q: 2. What is the slope of the line tangent to the curve 8x3-y²=4 at the point (1,-2)? CAL normal line…

A:

Q: 2. What is the slope of the line tangent to the curve 8x³ - y² = 4 at the point (1,-2)? 3. What is…

A: In 2 we need to find the slope of the line tangent to the given curve at a point.  in 3 we need to…

Q: 2 at the Find the equation of the tangent line to the graph y 3 (round the slope to one decimal…

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Q: A) Determine the equation of the tangent line to the curve xsin(y) – x²cos(y) = 1 at the point (1,4)

A:

Q: 6. Find the equation of the tangent line to the curve 2x3 + xy + y° = 4 at the point (1, 1).

A: Firstly we can find slope .i.e, dydx at (1,1). Then slope intercept form  y-y1=m(x-x1)