Find the equation of the line that is tangent to this cardioid at the point (–112, 15) answer in slone

Q: Find the equation of the tangent line to the parabola at the given point. x2 = 2y,   (−7, 49/2)

A: The objective is to find the equation of the tangent line to the parabola at the given point.

Q: Determine the latera recta length of the curve 9x² + 25y² - 225 = 0

A: Solved below

Q: 1- Find the equation of the tangent to the 2(x? + y?)² = 25(x² – y2) at (3,1) Cind In(tam (3.2)

A: The given equation of the curve is2x2+y22=25x2-y2to find equation of tangent at (3, 1)

Q: Determine if the AB is a tangent line or not. 2 cm 3 cmE A 4 cm В

A: Given:

Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2=25(x^2−y^2) at the…

A: Given: 2x2+y22=25x2-y2 at point -3,-1

Q: Find the equation of the tangent line and normal line to the curve ? = √? − 3 and whose normal line…

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Q: Find the slope of the line tangent to the curve at the given point. 7.) r = 4cos(0); (2, #) 7.) 8.)…

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Q: 1. Find the equation of the tangent line to x? + y? = 9, at the point (2, v5). %3D

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Q: EXERCISES 4:Find the tangent line at the given point xy = -4, (2,-2) 1. x² - xy + y? = 7, (-1,2) 2.

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Q: EXERCISES 4:Find the tangent line at the given point x² - xy + y? = 7, (-1,2) 2.

A: To find The tangent line at the given point.

Q: Find the distance from the point Q to the line ℓ. Q = (2, 2), ℓ with equation [x y] = [-1 3] + t [1…

A: GIVEN: Q = (2,2)               xy = -13 + t 1-1

Q: a) Find an equation of the tangent line: x' +y' + 9xy = 27 at (x, y) = (1, 2)

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Q: Find points P and Q on the parabola y = 1 – x² so that the triangle ABC formed by the x- axis and…

A: We have △ABC is an isosceles right angle triangle. So the interior angle at B and C must be 45° The…

Q: 7. center at (-5, 8), circumference of 10n 8. center at (2, 3) externally tangent to x²+y 2 –14x -6y…

A: (7) Note, the circumference of the circle is given by 2πr where r is the radius of the circle. So,…

Q: Find the value of x and the length of ST. ST and SR are tangents. 9х- 39 6x

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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: b) Show that the equation of the tangent line to the x², y? Xox at (xo, Yo) is Yo.y + a² ellipse 31.…

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Q: 1- Find the equation of the tangent to the 2(x2 + y?)2² = 25(x² . y?) %3D at (3,1)

A: To find the equation of the tangent

Q: find equation for the lines that are tangent andnormal to the curve at the given point.xy + 2x - 5y…

A: Given : The equation is x y + 2x - 5y = 2 and point (3, 2).

Q: Give an equation for the tangent plane to x2 + y + z? = 101 at the point (-2, 9, 4). = 0.

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Q: Find the point on the curve y = 25/2 for which the tangent line to the curve is perpendicular to the…

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Q: Find the x-corrdinates at which the tangent line to y=(x-(6/8))^8 is horizontal.

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

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Q: 4 Find a. the equations of the tangents to the circle x +y + 4x – 2y – 24 = 0 at the points where…

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Q: Find the tangent plane to the equation z = - 3x² + 2y² + 4y at the point (4, 1, - 42). 2 = Check…

A: I am attaching image so that you understand each and every step.

Q: Write an equation for the tangent line at the given point 1) x* +y? = 4, (JZ, 2) 2) xy = -4, (2,-2)

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Q: Find the equation of the tangent to the curv e y = 23 Az-12 at the point where a = 3. Answer:

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Q: Trace the curve r = sinocos'o. 2)

A: Given: r=12sin3θcos3θ Explanation: r=12sinθcos3θat θ=0r=12sin0cos30=0⇒r=0at…

Q: Pind Slope of the tangent line @ given pt to the ellipse 9xe + loy? =199 (2,3 313

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Q: Find the slope of the tangent line to the curve 4x2 – 3xy + 2y = – 16 at the point (4, – 4). Add…

A: Given : 4x2−3xy+2y3=−16  (x,y)=(4,−4)

Q: Find the equation of the line tangent to the curve f(x)=x+ at the point (5, 26/25) 1 %3D

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

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Q: The equation of the tangent plane to the surfae ye+ = 0 at the point (0,-1, 1) is az+by+cz = Which…

A: Given yexy+z2 = 0    point (0 , -1 , 1)Let f = yexy+z2dfdx= yexy.y ⇒dfdy(0 , -1 , 1)=1dfdy= yexy.x…

Q: Which of the following is/are points on the curve y = x4- 8x3 + 22x2 - 24x + 9 where the tangent…

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Q: Use OX. - Name a tangent. a. AB AC d. BD С. ВС

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Q: The slope of the tangent line at any point (x, y) on a curve is If the point (9, 3) is on the curve,…

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Q: Which of the lines in the Figure are tangent to the curve? In your own definition, what is a tangent…

A: Find tangent lines from the curve.

Q: Exer. 35-36: Find equations of the tangent line and normal line to the hyperbola at the point P. 35…

A: As per guideline we have to solve one question

Q: Find the tangent plane to the equation z = x2 + 5y² + 3y at the point (-5,-2,39)

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Q: Find the points on the lemniscate where the tangent is horizontal. 2(x2 + y2)2 = 49(x2 − y2)

A: The given equation of the lemniscate is 2(x2 + y2)2 = 49(x2 − y2). Since, slope of the horizontal…

Q: Verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal…

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Q: b) Find the points on the curve 2 17x + 12xy + 8y“ = 100| that are farthest away from the origin…

A: Substitute x = rcosθ and y= rsinθ

Q: Which of the following points do not lie on any tangent line of the parabola y = x2 + 2? (2,6) O…

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

A: Explanation of the answer is as follows

Q: d an equation of the tangent plane to the given surfa (-1, 1, –9). %3=

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

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