Find the equation of line (L) that passes through the intersection point of che two functions y = v2 – x? and y – 2x + 3 = 0 and perpendicular to the line 2x - 4y = 6

Q: find an equation for the line in the xy-plane thatis tangent to the curve at the point corresponding…

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Q: Find d2y/dx2 implicitly in terms of x and y.

A: we have;  xy-1=2x+y2 ................................(1) differential equation with respect to x

Q: y = −2x4 + 4ax³ - 5x² - 8x + 1

A: Solution:-

Q: Find d2y/dx2 implicitly in terms of x and y. xy − 1 = 2x + y2

A: xy − 1 = 2x + y2 We need to find  d2y/dx2 implicitly in terms of x and y

Q: 4. Find y'(x) for x²y² – 2x = 4 – 4y. Then find the equation of the tangent line at (2, –2 _n…

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Q: 5. Find the equation of the tangent and normal lines to the curve x = t2 – 2t, y= t3 - 3 when t =…

A: Firstly we find Slope of tangent and slope of normal to the given curves and then we will find…

Q: 5 Find the equation of line tangent to the curve y= X+- at point P(1,3) А) 4x +у-7- 0 B None of the…

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Q: Find the extremal of the functions using Euler's equation. [²(x² + y² (y2 + y² + 2ye*)dx, y (0) = 0,…

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Q: B. Solve the followina equation using the dete 3. 2y(x2 -y + x) dx + (x2- 2y) dy = 0

A: Given,                  2y(x2-y+x)dx+(x2-2y)dy=0

Q: .3 ax when x= For what values of a and b is the line -3x + y = b tangent to the curve y 4? b

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Q: 3. Find the equation of the line tangent to the curve f(x) = 3r²+4r+1 at the point (1,8).

A: To find the equation of the tangent line to the curve f(x).

Q: Find the equation of the tangent line to the curve y = x + 5x^2 - 3 which is passing thru point…

A:

Q: Find the equation of a line tangent to the curve xy = (√xy -x) + 1 at the point (1, 2). A. y= 2-x…

A: Here given equation as Differentiate with respect to x

Q: 8. The line y = -4x + b is tangent to the curve f(x) = 2x² – 8x + 12. Determine the value of b. %3D

A: The equation of the tangent at a point h,k on a curve y=f(x) is given by, y-k=f'(h) (x-h)

Q: c. Find the equation of the tangent line to the curve x-t²-2t, y3t²+2t at the point t=2.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: find the function y(x) satisfying dx/dy=5x ^(-6/7) and y(-1)=-2

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Q: %3D Find the equation of the tangent line at (1, 1) of 6x²y- ncos(y) = 7m y= -2nx +3T B y=2nx+3n C.…

A: Solving the problem by doing the derivative and then calculate the equation of tangent line.

Q: 3) Find all points (x, y) on the graph of x2/3+y²/3 = 8 where the tangent lines have slope –1.

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Q: Q2/ 1- Find f xe-3* dx 3V5 2- find the length of the curve y

A: Using By Parts rule of integration. According to Bartley by rule I am supposed to solve only first.

Q: The equation of the tangent line to the curve x² + y? = 25, at (8,-12) is 12 O y = ++ 8) – 12 8 8 O…

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Q: 6.) Find the equation of the tangent lines at the point where the curve crosses itself x = t³ – 6t,…

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Q: , хуян ху exy ху en y e xy enx = x=c e x = C/ - -

A: Yes, its correct.

Q: find the equation of the line tangent to the curve y=x^4-4x^3+2x^2-4x+15 and perpendicular to the…

A: To find the line tangent of the curve we have to differentiate with respect to x. If first-line…

Q: Given (x³ + y² + 7)* = 4x + 3y + 9, (a) find y', (b) find the equation of the tangent line at…

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Q: Find an equation of the line tangent to x = (t^2) − 3t, y = (t^3) − 1 at the point corresponding to…

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Q: Find the yp of the equation (D2 +4y=asinax + 4e ex %3D

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Q: a) Given that straight line y + x=2 is tangent to the curve y =x² – 6x + q. Find value q.

A: Given,  y+x=2⇒y=-x+2

Q: The value of b makes the line y = 2x +b be tangent to the function f (x) = x² is O -1 none О 1 O 2

A: Tangent line related problem......

Q: dy of the curve yln x + 5x² + y' = 13 at the point (1,2) dx b) Find

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Q: Find the equation of line tangent to the curve y= x+ - at point P(1,3) A 4x + y - 7 = 0 В) 4х - у -7…

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Q: What is the equation of the tangent line to the curve y = √2 +16when x = 3? V x-10y +47=0 3x-25y-116…

A: SOLUTION-

Q: of the curve yln x + 5x² + y' =13 at the point (1,2) dx b) Find

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Q: 19. For what values of the constants a and b is (1, 3) a point of inflection of the curve y = ax³ +…

A: Consider the value of y and solve:

Q: Q9// find the general solution (sec³x + (cotx)y)dx + (Insinx)dy = 0

A: Answer and explanation is given below...

Q: Find dy/dx2 implicitly in terms of x and y. x*y – 6x = 9

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Q: B. Find the slope of the curve at the point indicated. 1. y = at x = -1 4-x2 %3D 2x+3 2. y = xv1 +…

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Q: Find the equation of the tangent and the equation c 3x+1, Equatio O a. Equation of Tangent: y = O b.…

A: Equation

Q: y(t) = eBook equation subject to the indicated initial conditions. y" + 8y' + 17y= 8(t - 4n), y(0) =…

A: We have to solve the given problem.

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. 10)…

A: Proceed as shown below

Q: Q4:a) find the equation of the tangent and normal line to the curve y = 10 - at point (6,4). ? 7-x…

A: (a) Given curve y2=10-67-x  The equation of tangent to the curve at point x1, y1, y-y1=dydxx1,y1x-x1…

Q: -1 df For the function Y = f(x) = x² + 2x + 4, x > – 1, find dy y=7 (f-1)'(7) =

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Q: Q2: Find the points on the curve y 2x3 -3x2 -12x + 20 where the tangent is a. perpendicular to the…

A: y=2x3-3x2-12x+20

Q: -3x Find an equation of tangent Oa y=21x+36 Oby=x-36 Oc. "у-21х-36 d. y%3Dx+36

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Q: Find an equation of the line tangent to x = t^2 −1, y = t^3 +t at the point corresponding to t = 2.

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Q: Consider the curve in the xy-plane represented by the two equations below. The slope of the line…

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Q: p) Find the equation of the line tangent to the curve x² + y² = 25 at (3,4) %3D

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Q: nd an equation of the tangent to the curve f(x) = /x+ 8 that has slope %D 4 А. 1 y = X. В. 1 y 7x+3…

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Q: A line is parallel to 3x + y = 7 and tangent to y = x² + x- 6. Find its equation. A. 3x + y = 10 B.…

A: The given line is: 3x+y=7. The given curve is: y=x2+x-6

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.