Find the point on the graph of y = (x – 1)² which is closest to the point (-5, 3). P = Note: your answer should be in the form of (x, y).

Q: Find an equation of the level curve of the function h(x, y) = 3 – x2 - y? that passes through the…

A: Given that the function is      h(x,y) = 3-x2-y2 We have to find an equation of the level curve of…

Q: For Exercise, estimate the x- and y-intercepts from the graph. 3-2 –1

A:

Q: Find the point of the line -2x+5y-2=0 which is closest to the point (-4,0).  The answer is?

A: To find the point of the line -2x+5y-2=0 which is closest to the point -4,0

Q: Q3 The curve intersect with X-Axis y=x x=0 y=0 O y>0 O

A:

Q: A molecule is moving along the x-axis such that at any timet 2 0 (in seconds), its position from the…

A: Find your answer below

Q: Trace the curve: y^2 = (x-1) (2x+3) (3x-1)

A: First finding the zeros of  y2 =  (x-1) (2x+3) (3x-1) x-1 = 0 x = 1 2x + 3 = 0 x = -3/2 3x -1 = 0 x…

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

A: if the curve is passing through the point (1,-1) then we have to find the curve if the slope of the…

Q: The line y = 6 ·x + 5 intercepts the y-axis at and the x-axis at

A:

Q: = 5x + 6 and passes through the point d the equation of the line that is perpendicular to the line y…

A:

Q: x² + y² 3. Find the equation of the curve whose slope at any point is equal to and which passes…

A:

Q: (a) Find the length of the curve -√√u - 1du, 1 ≤ x ≤ 64.

A:

Q: (c) Find the slope of the curve x²y + xy? = 6 at the point (2, 1).

A:

Q: 2. Trace the curve x3 – 6x² + 11x – y = 6. -

A: Given curve is, x3-6x2+11x-y=6 That is, y=x3-6x2+11x-6 1) Domain and Range of given curve:    This…

Q: (a) Find the points of inflexion of the curve y(a² +x²) = x³

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Q: Q11. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.

A:

Q: 4x2 4. Trace the curve y (x+5)(x-2)"

A:

Q: A molecule is moving along the x-axis such that at any timet > 0 (in seconds), its position from the…

A: Position of molecule from the origin at any time t is given as:

Q: Trace the curve x^3 − 6x^2 + 11x − y = 6.

A: Given- x3-6x2+11x-y=6 To draw- The graph of the above function. Concept used- The above expression…

Q: Find the set of values of k for which the line y=3x-k does not meet the curve y= k?+1lx-6.

A:

Q: Find the x-intercept and the y-inercept x-3y=-3

A: The y-intercept of the function is computed as follows.

Q: i can't figure out how to get the y-intercept

A: Given:

Q: The slope of the curve y =x' + 3x² – 4x+5 at (1,5) is O a. 0 O b. 2 O c. 5 O d. 4

A:

Q: find (y" ) for the following equation 3x²-2y'-y=6 at point (2,1)

A: Take the first derivative of the whole term than find y' at given point after this calculate second…

Q: Find the y-intercept of the line. y- 0.7x- 6.5 rintercept: 0

A: Line Y on X is  y=mx+c  m=slope and c=intercept

Q: Q1/a) Find the curve whose slope at the point (x,y) is 3x2 if the curve is also passes through the…

A:

Q: Q2) Find the equation for the line that passes through the point (1,0) and parallel to the line 2x +…

A:

Q: y=3+2x– x² and | about the y-axis.

A: Given:

Q: Determine the slope of the graph of 3(x2 + y2)2 = 100xy at the point (3, 1).

A: Given: 3x2+y22=100xy we know that slopem at given pointx1,y1 is given by m=dydx|x1,y1 so, we…

Q: The slope of the curve y = 5– 3x² at (-1, 2) is A. 5 С. 6 В. 2/3 D. -3

A:

Q: х* - Зx* +2 ,2 y' x? ,2

A: The x-intercept is a point where the y-coordinate of that point is 0. To find the x-intercept put…

Q: Find the equations of the curve for which y" = 6x2 and which passes through the points (0,2) and…

A:

Q: (a) Find the length of the curve y=[^ √√√²-1dt, 1≤x≤ 16.

A: To find the length of the curve.

Q: Q6. Find and classify the stationary points and the points of inflexion on the following curve. y =…

A: Stationary point of a differentiable one variable function: It is a point on the graph where…

Q: f you were to reflect the graph of y = ;x² – 1 in the y-axis, its equation would be O y = -2x? – 1 O…

A: Given, y = 0.5x2 -1

Q: Find an equation for the slope of the graph of y= 2x + 5x2 -2x at any point. Am= 6x2 Bm= 6x2 + 10x…

A: Given y=2x3+5x2-2x

Q: In the open interval (0, T1/2) , find the point where the slope of the curve is 4? y = 3x* – 8x +…

A:

Q: f(x) - x + 6x + 2 Sketch: Opens: Vertex: Equation for Axis of Symmetry:

A:

Q: y = a · b' Has a y intercept of (0,2)and passes through the point (3,128)

A:

Q: Q2/ A/ Find the equation of straight line passing through the point (1, 2) and parallel to the line…

A: Topic: equation of line

Q: At which point does the graph of Y2 cross the y-axis?

A: Given :    X Y1 Y2 -3 9 5 -2 4 4 -1 1 3 0 0 2 1 1 1 2 4 0 3 9 -1 4 16 -2 5 25…

Q: Sketch the graph of the solution and describe its behavior as t increases:  4y″ − y = 0,  y(−2) =…

A:

Q: The point P(4, -2) lies on the curve y = -

A: As per our guidelines, we are supposed to answer one question at a time. Kindly repost other…

Q: The function y = x³ + ax? + bx + c has a stationary point at (-3,12) and it passes through the point…

A: Since, the function y=x3+ax2+bx+c passes through the point (0,2)⇒2=0+0+0+c⇒c=2-(i)Also, we have been…

Q: 2. Sketch the graph of the function (b) ƒ(x, y) = Vx² + y? – 1 -

A: our objective is to draw the graph.

Q: Q4: Find the distance from the origin point to the line x-2y-1 %3D

A:

Q: Find the equation of the curve for which y"=6x^2, and which passes through the points (0,2) and…

A: The given differential equation is in the variable separable form and can be solved by integrating…

Q: Trace the curve y = 2x / (x+2) (x-3)

A: Consider the given function, y=2xx+2x-3 (1) First find the domain of the function. So, put the…