Given æ? – xy = 4y, dy a) dx y2- 2x 2(ry+2) - 2x 2xy + 4 b) Write the equations of the tangent lines to the curve at a = 5. and

Q: 1. In the following diagram, PA is tangent to 00 at A. If mBC = 50' , m/BEC=60', mBD=x and mAC = 2x+…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: If the curve I=3+ at? y= at + bt has a tangent line y=r-4 at t 1, what is a+b? %3D

A: We have to find a+b

Q: 1.) Question is attached!

A: Given that radius= 5  Length of MN= 16  Length of ON=16 If MN is a tangent then it must make a right…

Q: Find the equation of the tangent line to the given curved as directed. x²+2y=8 perpendicular to the…

A: topic - equation of tangent line

Q: Points X and Y are respectively 12 m north and 5 m east of point Z. Calculate XY.

A: To solve this problem we use the Pythagorean theorem

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=√3 and y=2 in the given equation So the point is on the curve

Q: Ex 3 identify the equarion of a line a) parallei that is é b) perpendicular y= x-2 through ly,-1)

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Q: Find the points on the curve a = ť² – 14t – 9, y =t² + 14t + 1 that have: | A. a horizontal tangent…

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Q: :If the tangent at (a, b) to the curve x³ + y° = c° meet the curve again in (a,,b,). b, Prove that…

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Q: Find the length of the curve described by y = V sec* t – 1 dt, - sI 4 4 (a) 4 (b) (c) (d) 2/2 (e) 1

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Q: If C = {(x, y): 1 ≤ x ≤ 2, y = ln(x + √x² − 1)}, find the length of the curve. -

A: C=x,y: 1≤x≤2, y=lnx+x2-1

Q: Given that BC is a tangent line, determine AB. A 1x 2x В 6/2 cm

A: We have to determine AB.

Q: Find the point (x, y) of x+14xy+ 49y = 100 that is closest to the origin and lies in the first…

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Q: At the given point, find the line that is normal to the curve. 2x y-cos y 3x, (1,x) 1 O A. y= -7**7…

A: The given curve is 2x2y – π cosy = 3π and the point is (1, π). Evaluate the slope of the tangent to…

Q: Find the length of the indicated portion of the trajectory. rt) = (e 'cos t) i + (e 'sin t) j +3e t…

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

Q: Prove that the curve y: (-,-)→ R³ is regular with factor H and determine whether the image y (t) =…

A: If γ't not equal to 0 for all t∈-π2,π2then it is regular. If γ''t=kγ't for all t∈-π2,π2 then the…

Q: Find the sope to the tangent Iine of the equation ,-y +ear (0,3) Hirt perform impl cit…

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

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 (x,y) of x^2+14xy+49y^2 = 100 that is closest to the origin and lies in the first…

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Q: Find the points on the curve a = t? – 4t + 1, y = t² + 8t – 8 that have: A. a horizontal tangent…

A: Let's find.

Q: Given the function z = = f(x,y) = 2y³ -5xy-3x²+2, find the equation of the tangent plane at (1,-1),…

A: Given problem:- Given the function z  = f(x, y) = 2y³ −5xy-3x²+2, find the equation of the tangent…

Q: Find the path of the sloping path y = x² + c such that θ = π / 4 is the angle between the tangents…

A: Slope = 1  Point are (a,b) So equation of tangent      Y-b = 1.(x-a)

Q: Determine if the AB is a tangent line or not. 8 cm 5 сm A 12 cm Yes or No Yes

A: The answer is given below:

Q: Evaluate ∫C x ds, where C is the parabolic curve x = t, y = t2, from (0, 0) to (2, 4).

A: Given: Parabolic curve x=t, y=t2 from (0,0) to (2,4)

Q: ind the points on the curve zx? + 4y? = 1 that have a horizontal tangent line.

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Q: find the value of c that the line y=3/2x+6 is tangent to y=c(sqr-root x)  c=

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Q: BC is a tangent drawn to circle O. OC = 16, BM = 10. Find BC to %3D the nearest tenth. C B to M 16

A: Given: -  BC is a tangent drawn to circle O. OC = 16, BM = 10. To Find BC

Q: The slope of the tangent line to the graph of y? = In(ry) at the polnt (e, 1) Is Select one: a.e=1…

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Q: A satellite (S) in orbit around the Earth is sending two signals that are tangent to Earth at points…

A: Given that , mACB⏜=208° mAB⏜=152° ∠S=?

Q: Given ZY = 25, What is the distance from ZS %3D U W T. S Y

A: Given:

Q: Find the equation of tangent to the circle x + y = 25 at the point (3, –4) %3D 25 ix + O b. y = 7 O…

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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: e, Find at the giren point on eauation Of the tangent live. to the corve. X=46",y=f'+|,(4,0)

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Q: I. Find I = ždz where C is the line segment from 3 +i to 3 - 2i.

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Q: Find the tangent plane to the equation z = 3x2 + 4y? – y at the point (3,5,68)

A: We have to find the tangent plane equation to the given surface at a given point.

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

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Q: Q3- i) Prove that du dx xP ?M=I^ . ii) Find the angle of inclination of the line y+ 2x-4 0.

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Q: (is)Find the eguakion af the line tangent to y=ro* át (!,10')

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Q: O tind dyldx and aby/ax?. Find the point on the curve where the tangent line is horizontal. X= t? y=…

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Q: which sketch is a cross-section in the x-direction (L to the y-axis)? Why?

A: Given are three graphs. We need to find out which one is a cross section in x-direction. The…

Q: If C1 is the segment connecting (x1, Y1) to (x2, Y2), find | x dy – y dx in terms of the four…

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Q: which sketch is a cross-section in the y-direction (L to the x-axis)? Why?

A: Given: Let us determine the cross-section in the y-direction perpendicular to the x-axis.…

Q: Approximate the value of =dx, using two and three points Gauss Quadrature Vx+ A

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Q: Find the equations of the tangent and normal lines x^2 + 2y^2 = 9 TL I to the line x + 3y = 7

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Q: Find the tangent plane to the equation z = 5a° + æy? + 2 at the point (2, – 4, - 6)

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Q: where c is a constant, then prove that the foot of perpendicular from the origin upon the straight…

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