Choose the point that corresponds to t=-1 when x=t^2-4 and y=t+1/t (-3, 0) (-3, -2) (3, 2) (-5, -2)

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

Q: Find the solution of the equation y= 2x -x- 10 in the interval (2, 4] using derivatives. You can use…

A: To solve an equation  f(x)=0 using derivative of function, we can use the formula…

Q: 6. Parallel to the line Y = = -}(x – 100) – 99, 3 4 passing through (1, 3)

A: Given query is to find the equation of the line passing through (1,3) and parallel to the line…

Q: The line whose slope is -3 is tangent to the curve y = x² + 3x + 2 at the point 0 (-3, 2) 0 (3, 2) 0…

A: We will solve the problem.

Q: Find the point on the line 2x + y = 7 that is closest to the point (−5, 2).

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Q: What is the equation of the curve passing through the point (3,-2) and having a slope at any point…

A: We want to find correct option.

Q: 2. Passes through (3, 5) and (-1, 5) 3 4. Perpendicular to the line y=--x-7 2 and passes through…

A: Given points (3,5) and (-1,5) Therefore slope m = (y2-y1)/(x2-x1) m = (5-5)/(-1-3) = 0 Therefore…

Q: Find the critical points of the function by using algebraic partial derivatives test. Rx, у) - -х2 -…

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Q: It passes through the point (5,7) and parallel to the line 3x+y-10= 0   its has a x intercept 4…

A: Given,          It passes through the point 5,7 and parallel to the line 3x+y-10=0.          Its has…

Q: The slope of a line that is parallel to 2x – y = 1 is т — The equation of the line (in…

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…

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Q: Find the equation of the line passing through the point (4,5) and perpendicular to the line y= x+2…

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Q: Find the equation for a quadratic with vertex at (-4, 4) and y-intercept at (0, 1) y =

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Q: Find the point on the line 5x + y = 5 that is closest to the point (−2, 1).

A: We will solve the following.

Q: The equation for the line that passes through the point (1,0) and perpendicular to the --1 is line x…

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Q: 9). Find the curve whose slope at any point is 3x – 5 that passes through point (5,3).

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Q: Find the curve in the xy-plane that passes through the point (9,4) and whose slope at each point is…

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Q: The equation for line A is y =z + 4. Suppose line A is parallel to line B and point (-3, 1) lies on…

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Q: Find the point on the line 5x + y = 6 that is closest to the point (−5, 1).

A: The perpendicular drawn from the given point will be the closest distance of the line from the…

Q: The slope of the curev y^2 -xy-3x = 1 at the point (0,-1) is

A: Given curve is: y2-xy-3x=1 ......................... (1) We have to find the slope of this curve at…

Q: at the line x = 3. %3D

A: Find the volume of the solid generated by revolving the region between the parabola  x=y2+1 and the…

Q: equation of the curve that passes through the point (0, 6) and whose slope at (x, y) is x/y.

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Q: an equation for line L in point-s erpendicular to y 5x. 6Ty=5x (1,5) 2- -4 -2 4 6 2.

A: We will solve the problem

Q: 17. Passes through the point (2, 1) and is perpendicular to y = -x+ 3.

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Q: Find an equation of the line through the point (1, 2) that is perpendicular to th = --x +3 Select…

A: The given question is solved below.

Q: 3. What is the equation of the line that passes through point (-3,-1) and is perpendicular to the…

A: Given that: The given equation of the line is y=-13x+5 and the given point is -3, -1 So, we have to…

Q: Find the equation of th line perpendicular to the line 3y=2-4x and passing through the point (4,7)

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Q: Find the equation of a curve going through the point (3, 7) and having slope 4x² – 3 at (x, y).

A: Given ,Slope of curve is 4x2-3Thereforedydx=4x2-3Taking integationon both…

Q: The two points on the lines 2x +3y +4 = 0, which are at a distance of 2 from the line 3x + 4 y –- 6…

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Q: 9. at the point (-2,1) Find the equation of the line tangent to y = 2x2 + 1

A: We will find the equation of the line tangent in the following step.

Q: Еxample 5 1 1- Vxdx ха 0,

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Q: Find the value of x between the points  ( − 3, 2) and (x, 6) with slope 2/5.

A: We use the slope formula to find the slope between (-3,2) and (x,6)

Q: Find the point on the line 6x + y = 7 that is closest to the point (−2, 1).

A: Given line 6x + y = 7     (1) Given point A(-2,1)

Q: Find the distance between point (5,-1) and line x=3y-12.

A: Given: The point (5, -1) and the line  x = 3y -12. To find: The distance between the given point and…

Q: Evaluate S(z² + 3z)dz along the straight line from (2,0) to (2, 2) and then from (2, 2) to (0, 2).

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Q: Find the curve in the xy-plane that passes through the point (4,8) and whose slope at each point is…

A: The curve in the xy-plane that passes through the point (4 , 8 ). Slope at each point is 3√x . We…

Q: The equation of the line with gradient 3 which passes through the point (1, -4) is: O y = 7x – 3 O y…

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Q: How to find the parameterization of the horizontal line passing through (3,-2)?

A: find the explanation below

Q: The curve y=ax²+bx+c passes through the point (2,28) and is tangent to the line y=4x at the origin.…

A: Given, y=ax2+bx+c

Q: (-2,4) parallel to y=-3/2x+3

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Q: Find equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…

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Q: What is the equation of the curve that passes through the point (0, 3) and has a slope at any point…

A: We have to find

Q: what is the equation of the line passing throught the point ( 2,4 ) with a gradient of -3?

A: As given points are (2,4) and gradient (m)= -3 ...

Q: Find the point on the line 5x + y = 9 that is closest to the point (−4, 1).

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Q: What is the slope of the curve y= 2 over √x at the point (4,1)

A: To find the slope at a particular point x=a, the first derivative of the function is taken. Once the…

Q: A line that is normal to the curve x^2+3xy-4y^2=0 at (6,6) intersects the curve at what other point?

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Q: Find equations of the two tangent lines to the graph of f(x): x2 that pass through the point (-1,…

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Q: Find the point on the line 3x+7y−6=03x+7y-6=0 which is closest to the point (−1,5)(-1,5). (    ,…

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