Find all points (x,y) on the graph of y = х- 2 with tangent lines perpendicular to the line y = 2x - 5. The point(s) is/are. (Type an ordered pair. Use a comma to separate answers as needed.)

Q: 9. Find the angles at which the curve y =x - x intersects the x-axis.

A: Given: The curve y=x3-x intersects the x-axis

Q: Find all values of x where the tangent lines to y = x² and y = x³ are parallel.

A: Slope of both curves are equal

Q: Find the distance between the point (0, 4, -1) and the line defined by r(t) = +t

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Q: v = (3t - x)e-2t

A: v=3t-xe-2t Partially differentiating with respect to t, we get…

Q: Find the equation of the tangent plane to 4 = Z = eª + x + x* + 4 at the point (1, 0, 7).

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Q: Which of the following lines is perpendicular to the tangent line of y= х-3 at the point (2, –2) ? y…

A: We have to solve

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

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Q: Find an equation of the tangent plane to the graph of f(x, y) = xy3 + x2at (2, -2, f (2, -2)).

A: fx, y=xy3+x2 Partially differentiating with respect to x, keeping y as constant, we get fxx,…

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: 1) Given the curve 2x? + y3 = x3 + y? find the x-intercept of the tangent line at the point (2,1)

A: We find dy/dx using the implicit differentiation and we plug x=2 and y=1

Q: Find the coordinates of the points on the curve y= x' + 5x + 3 at which the tangent: makes an angle…

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Q: Find all points​ (x,y) on the graph of y=x/(x−1) with tangent lines perpendicular to the line y=x−8.

A: The given function for the tangent is, Differentiate the above expression to get the slope of the…

Q: Find an equation of the tangent plane at the given point. f (x, y) = x/√y,  (4, 4)

A: Given : The function is f ( x, y) = xy and point ( 4, 4 ).

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 the equation of the tangent line to x? – y + y? = 21 at the point (1,5).

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Q: Find the coordinates of the point Pin Figure, at which the tangent line passes through (5, 0).

A: Given figure is  where suppose that the coordinate of point P is P=a,b

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: 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 an equation of the tangent plane at the given point. f (x, y) = x2 + y−2, (4, 1)

A: To find equation of tangent plane at (4,1)

Q: Find a number a so that the tangent lines to y= x° + 11x +x + 13 at x = a and at x = a+ 1 are…

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Q: Find the equation of the tangent line to the curve (a lemniscate) 2 2(a? + y?) = 25(æ² – y²) at the…

A: Topic:- application of derivatives

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: find equation for the lines that are tangent andnormal to the curve at the given point.x^3/2 +…

A: Given: x32+2y32=17    at the point (1,4)

Q: Find an equation of the tangent plane at the given point: F(r, s) = r²s-0.5 – 2s-4, (-1, 1) z =

A: The formula to find the equation of a tangent plane at a point (a, b) to a given surface f(r,  s) is…

Q: Determine the tangent line(s), in standard form, to the curve y = (x- + 1) (x – 9) that are…

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Q: Find the tangent plane to the equation z = 6e" -20 at the point (4, 8, 6)

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Q: The curve y = ax + bx +c passes through the point (1,9) and is tangent to the line y = 4x at the…

A: Please see the answer below.

Q: Find all points (x, y) on the graph of y = with tangent lines perpendicular to the line y= 4x - 3.…

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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: Find an equation of the tangent plane to the graph z = Væ + y³ nt (8, 2, 4).

A: We know that equation of tangent plane to the graph z=f(x,y) at point (a,b,c) is…

Q: Consider the curve x2/3 + y2/3 =4. Let L be the tangent line to this curve at the point (1 , 3/3),…

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Q: Find all values of x where the tangent lines to y=x^2 and  y=x^3 are parallel. x=

A: To find the slope of the tangents we find dy/dx for both equations

Q: C: y= 3 17 + 12 4 | +

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

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Q: A set of direction numbers for the tangent line to the curve of intersection of S : x² + y² – z = 8…

A: The equation of a tangent line to a given surface involves the gradient of the function. When we…

Q: The curve y= ax² + bx +c passes through the point (1,2) and is tangent to the line y = x at the…

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Q: Show that th equation of the tangent to the curve X 1승 +1-2(a 0,b + 0) at the point (a,.b) is 즈+-2 X…

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Q: In x Find the equations of the tangent lines to the curve y = at the points (a) (1,0) and (b) (e,…

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

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Q: b) Let f(x) = 4x - 2x - 5. %3D Find the intersection of the tangent line at c = 2 with the x axis.…

A: Given: The function fx=4x3-2x-5, To find: The intersection point of the tangent line at c=2 with…

Q: 7. Let f(x,y) = x²y+ry. Find an equation of the tangent plane to the graph of f at the point…

A: The detailed solution is given below Thank you

Q: If f(2) = -3, f'(2) = ÷ and g(x) = f¯(x), what is the equa %3D the tangent line to g(x) at x = -3?…

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

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Q: a. Determine the points where the curve 4x + 2y -y =1 has a vertical tangent line. b. Does the curve…

A: Consider the given curve 4x + 2y2 – y = 1

Q: Find the tangent plane to the equation 5e* бу at the point (12, 24, 5) Z =

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