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Q: There are two tangent lines to the curve y %3D x+ 1 that are parallel to the line x - 2y = 2. Find…

A: We first find dy/dx suing quotient rule

Q: find the length of y=√x² from x = 0 to x=12

A:

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: 2. y" + 4y = 8t²-20t+8

A:

Q: Ay 6. 2- -2 2. B. 10 -2 A.

A:

Q: 3. Where is the y-intercept of the equation y = (x- 2)^2 8? O (0, -8) O (0, 8) CCla O (0. -4) O (0,…

A:

Q: 19. Which of the following illustrative equations will give a slope 10 of the tangent line to its…

A: A)y=2x2-2x at (2,3)Differentiate…

Q: The stationary points of ymx³+4x²-3x+2 are ( decimal places ) and ( Type your answer to 2

A:

Q: Find the equation of the line which is tangent to the granh of y .3r2 2r + 4 at tho

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Q: 6. Given r + y° = 1, find y"

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Q: The root/s is/are the point/s of intersection between the curve and the x-axis. O True False

A: Generally the equation of a curve or line will have a 'equal to' symbol with it. The…

Q: The line -8x + y = m is tangent to the parabola f(x) = nx² when x = 5. Find the values of m and n.

A: NOTE: Refresh your page if you can't see any equations. . the given tangent line is  here we have…

Q: If (4x + xy):(5xy - y*) = 12:5, find x: y

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Q: <-34 구- e Smzt dt

A: The following question has been solved below.

Q: Find the distance between x = 10 -3 and y = ㅗ -5

A:

Q: If fxy (x, y) = , ,0 2) =

A: Given,fXY(x,y)=x+y27 ; 0&lt;x&lt;2 , 3&lt;y&lt;5

Q: Locate the point where the slope of tangent line to y=In 2x² IS –1- O (-1, In 2) O (-2, In 8) 9. In…

A: Given  y=log(2x2)Slope =dydxdydx=4x2x2=12x

Q: Find the derivative. 1) f(x)= V7,7x A) 7.7)4/5 B) 7.7)-1/56 ,7) D) 2) y = x/10x-8 15x-8 A) 15x B)…

A: 1) Obtain the derivative of f as shown below: f'x=ddxx7+7x5       =15x7+7x-45ddxx7+7x…

Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

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Q: 6. y = V2x – 3x . Find y'" -

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Q: It is the case that (x4 – y4)", where A=7 and n > 0 is a parameter, simplifies to x" – y". Please,…

A:

Q: - y=(x² +3x+1)*

A: on doing differentiation with respect to x

Q: Show that the distance between the line 3x 4y + 3 = 0 and the point (1, –1) is 2. |

A: In this question, we have to prove that the distance between line and point is 2.

Q: Find F (x) Fx)sinor)

A: Consider the given function

Q: Kindly exhibit that xzxx+yzxy=y2zyy if z=xy+yln(xy)

A: The given data is: z=xy+ylnxy To prove: xzxx+yzxy=y2zyy

Q: Find all points where fex)= |21x-131 fails be be differenbiadle

A: Given:- f(x) = |21x-13| To find:- All points where function non differentiable

Q: If f.(x, y) = 13x + 8y + 11, || f.(3, 2) = a. b. f„(5, 2)

A: Given, fx(x,y) = 13x + 8y + 11 a). fx(3,2) = 13*3 + 8*2 + 11 = 39+16+11 =&gt; fx(3,2) = 66