What Is the equation of the tangent line and normal line to the curve y= at (4, -4) O a. TL: 2x+y-4=0 NL: x-2y- 12 =0 O b.TL: 2x -y+4 = 0 NL: x +2y +12 =0 OC TL: x+2y+12 =0 NL: 2x-y+4=0 O d. TL: X-2y- 12=0 NL: 2x +y-4=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: 5. Find the slope of the tangent line to the curve y + 2yx3 - x-5y3 = 0 at (0, 5). %3D

A:

Q: The equation of the tangent line to the curve z +y = 25, at (4,-16) is 4 y%= %3D 16 16 (z - 4) + 16…

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Q: Find the tangent and normal line to the curve at the specified condition.  y = x ( 4x - 1 )2 at…

A: The tangent line is a straight line to the curve that touches the curve at a single point. The…

Q: 7. Find the slope of the tangent line to the curve 3x° + 2y° = 13xy at (2, 1). %3D

A: Given

Q: Find the equation of the tangent line and normal line to the curve y= √( x− 3) at (4,1).

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Q: Find equations of the tangent and normal line to the curve x? – xy – 3y2 = -4 at (1,2).

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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: 2. Find the equation of tangent line and normal line to 3x y3 + 2y =1 at (0.2) (15 points)

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Q: 2y + 4 = 0  at the point (1,1).

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Q: The line is tangent to the curve y=x2−3 at (2,1). What is the equation of the normal line?

A: On solving this we will get

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: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

A: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

Q: Find the equation of a tangent line to the curve y= 2x3 - 3x2 - 10x +1 which is perpendicular to the…

A: The equation of the line is      x+2y-6=0⇒y=-12x+3       in the form of line equation y=mx+c  So,…

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: What is the slope of the tangent line to the curve 3x^3y^2−2y^3=−4 at the point (1,2)

A: To find the slope of the tangent line we need y' 3x3y2−2y3=−49x2y2+3x3(2y)y' - 6y2y'=0 [product…

Q: Find the slope of the tangent to the curve x+ xy + y = 7 at (1, 2). The slope is (Enter undef if the…

A: Find the slope of the tangent line using implicit deffentiation

Q: Compute Δy Δxfor the interval [4,10], where y= 2x-6   ________   What is the slope of the tangent…

A:

Q: Find an equation of normal line to the curve y = Vx that is parallel to the line 2x+y = 4.

A:

Q: Find the equation of the tangent line and normal line to the given curve at the specified point. y =…

A: The given equation is,

Q: 3. Determine the equation of the tangent plane and normal line to 2xz + y²z³ = x + 5 at (1,0,3)

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Q: 1. Find the slope of the curve x+ y² -6x-4y-21 0 at (0, 7). Compute also the tangent line and normal…

A: ## According to bartleby guidelines we supposed to do first question of multiple questions so kindly…

Q: Find the equation of the tangent line and normal line to the curve r+4.ry +y = 13 at (2,1). %3D

A: Let's find.

Q: 20. Does the line that is normal to the curve y = x² + 2x - 3 at the point (1, 0) intersect the…

A:

Q: What is the equation of the tangent line to the curve y = x2 – 2x + 1 at point (3,4)? a. y = -4x + 8…

A: as per guidelines I can only do first 3 subparts

Q: Find the equations of the tangent and the normal lines to the curve x5 + y5 = 4 x2y2 at the point…

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Q: y = xv16 + x², (0,0)

A: Topic:- application of derivatives

Q: Find a curve in the xy-plane that passes through the origin and for which the tangent at (x, y) has…

A: Tangent is the line that just touches the curve at a single point. Derivative of the curve at a…

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

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: Find an equation of the tangent line to x^2y^3 −y^2 +xy−1=0 at (1,1).

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Q: FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 1.…

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Q: What is the equation of the tangent line and normal line to the curve y = -8 at (4, – 4)? Оа. TL: 2x…

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Q: What is the equation of the tangent line and normal line to the curve y = at (4, - 4)? O a. TL: x +…

A: We will find the equation of tangent line and normal line as following.

Q: Find the equation of the tangent line to the curve x²y² - xy + x - y = 0 at the point (0, 0). Ox+y=1…

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Q: Find equations of the tangent line and normal line tothe curve at the given point.   y= x2 - x4 ,…

A: Given, y=x2-x4, 1, 0

Q: Find equations of the tangent and normal line to the curve y (2x+1) %3D at x=2. (3x2-2)

A:

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: 2. What is the slope of the normal line to the curve 4x2 - 9y2 = 1 at point (3,2) ? a. 3 b. - 8. С.…

A: Normal at any point on the curve is a straight line that intersects the curve at that point and is…

Q: Find the points on the curve y=2x^3 + 3x^2 -12x +3 where the tangent line is horizontal.   (x,y) =…

A:

Q: 7. What is the equation of the tangent line and the normal line to y = x² – 4x + 2 at (4,2)…

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: Find the equation of the tangent line to the curve y = x(2 - x)² at (1, 1). O a.x - y = 0 O b.x - y…

A: The curve y=x2-x2 at (1,1)

Q: FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 2.…

A: Given: x2y3-2xy=6x+y+1 To Find: Equation of the tangent line and normal line of the given curve at…

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

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Q: Find the points on the curve y = 2x3 + 3x2 − 12x + 9 where the tangent line is horizontal. a)…

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Q: Find the equation of the normal to the tangent line for the equation x'y+ xy² +x² + y² = 0 at the…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: tangent

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Q: At what points on the given curve x = 2t³, y = 2 + 10t 14t2 does the tangent line have slope 1? = (L…

A: Given problem:- At what points on the given curve x = 2t3 , y = 2 + 10t - 14t2 does the tangent line…