Give the new location of Poìnt Y' after a dilation using a scale factor of 5. у-аxis A: (0,3) B: (3,0) C: (12,0) D: (0,12 Y 98-7-6-5 4 3-2 -1 0 1 2 3 4 6 7 89 X-axis

Q: Use the graph to estimate the slope of the tangent line to y = x" at the given point. Verify your…

A: We have to tell the slope of the tangents through the graphs. So, for that, we will differentiate…

Q: Find equations for the tangent line and normal line to the cissoid of Diocles y squared left…

A: Compute the derivative of the given equation as follows.

Q: To find the length of the curve defined by y = 5x° + 8x from the point (-1,-13) to the point (2,56),…

A: Here the curve is given by y=5x3+8x x coordinate of the points (-1,-13) and (2,56) are -1 and 2…

Q: Find the points where the tangent line to y =2+4 is horizontal (Critical points)

A: We need to find points where the tangent line to y=xx2+4 is horizontal. In other words, we need to…

Q: 1. Circles through the origin with centers cn the x-axis 2. Straight lines with slope and…

A: First of it requires basic formula for circle and straight line. Then we will apply the given…

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 5  where the tangent line is horizontal. (x,…

A:

Q: What is the equation of the tangent line and the normal line to y = x2 – 4x + 2 at (4,2)…

A:

Q: Estimate √4.1 using linear approximation.

A: This question is based on the linear approximation of a function.

Q: Find distance between point A(1,3) Perpenclicular on the line L: 2y =2 +X

A: Use the following formula: The perpendicular distance from the point A(x1,y1) to the line ax+by+c=0…

Q: as y y = f(x) (10, 4) Tangent line (4, 2) ive your answer to three decimal places.)

A: G

Q: Find the equation of the tangent plane to the graph of 5y f(x, y) = at the point (9, –1). (Use…

A: The equation of the tangent plane at point (x1, y1, z1) is z-z1=∂z∂x(x1, y1, z1)(x-x1)+∂z∂y(x1, y1,…

Q: Examine the Function For relative extrema and sadde points. xy - %3D

A: we have given a function g(x, y) = xy we have to examine the function for relative extrema and…

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

A:

Q: What function should be used to minimize the distance between, y = 3x2, and the point (0, 2)?

A: y=3x2,  0, 2.

Q: Use Euler's Method with an appropriate h value of your choosing to estimate y(4) with y = 0.5, y (1)…

A: Topic- Differential Equation

Q: Find the equation for the y perpendicular trajectories of the curve family. 1. x

A: perpendicular trajectory

Q: 12. The line y = 8x + b is tangent to the curve y = 2x². Determine the point of tangency and the…

A:

Q: The curve y = a x 2 + b x + c passes through the point ( 1 , 2 ) . The line y = 2 x + 1 is tangent…

A: Given that the curve passes through a point.

Q: See image below

A: Given function is

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 - -2, and the line 4…

A:

Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4, –-1). (Use…

A: The Equation of the tangent plane: - z0=(x0,y0) is a point in the domain of f, and defined by a…

Q: If the normal to the curve y-f(x) at the point(3,4) makes an angle of Pi with the positive x-axis…

A:

Q: A line is tangent to y = x - 2 at (2,6). What is the coefficient of x when the line is in the form…

A: Given curve y=x3-2    ;   (2,6)

Q: Find an equation of the tangent line to the curve at the given polnt. y = 4x² – x², (1, 3)…

A:

Q: At which points on the curve y = 1 + 60x3 - 2x5 does the tangent line have the largest slope? 1 5…

A:

Q: Suppose you are climbing a hill whose shape is given by the equationz= 1000−0.01x2−0.02y2, where x,…

A:

Q: Can you clarify the first part again, does it mean that the relative maximum, minima, and horizontal…

A:

Q: what points on the given curve  x = 2t3, y = 5 + 50t − 10t2  does the tangent line have slope 1?…

A:

Q: What is the isogonal trajectories family of curves x² - y² = a which intersects at an angle of ∅ =…

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Q: Find the point where the tangent to the curve y = x +6x + 9x + 7 is parallel to the x-axis. 37.…

A: topic - point at which tangent line is parallel to curve. note : As per bartleby guidelines, we are…

Q: Find the rate of change of the distance D between the origin and a moving point on the graph ofy…

A:

Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

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Q: find the point p on the line y=5x that is closest to the point (78,0). what is the least distance…

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Q: Find the slope of the curve y=x^3-3 at the point ​P(-2,-11​) by finding the limiting value of the…

A: Given,y=x3-3Point P -2,-11The slope of the secant line ism=fb-fab-a

Q: A point of inflection on a curve is a point where y" is positive on one side and negative on the…

A: A point of inflexion is a point at which  y'' changes its sign. It is positive on one side and…

Q: At which x values does the curve y = 1 + 80x 1x does the tangent line have the largest slope. List…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the equation of the line that is tangent to y = 2log3(x + 1) and is perpendicular to the line y…

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Q: Find the point P on the line y=3x that is closest to the point (40,0). What is the least distance…

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Q: Show that the rate of increase in the slope of the tangent at a point on the curve y = 2x3 is 12…

A: Consider the given curve: Here the objective is to show that the rate of increase in the slope of…

Q: At what points on the given curve x = 2t3, y = 4 + 8t - 11t2 does the tangent line have slope 1?…

A:

Q: 4. Center at (-4,9), tangent to the x-axis 5. Center at (-4,9), tangent to the y-axis

A: In this question we have to find the equation of the circle tangent to the x-axis and y-axis.

Q: 9. Find the width of the shape, surrounded by two curves y = e*, y = e¯ * and %3D two straight lines…

A: Consider the given curves y=ex and y=e-x and two straight linesx=ln2 and x=ln5.

Q: Make the curve y = ax4 + bx3 + cx2 + dx + e pass through the points (0,3) and (-2,7) and at (1,4)…

A: The curve y=ax4+bx3+cx2+dx+e

Q: 45. Find all points z'y+ ry = 2 where the slope of the tangent line is -1. on the curve Answer +

A: Solution:-

Q: Find the cubic function y = ax³ + bx² + cx + d where its graph has horizontal tangent line at (-2,6)…

A: solve the given problem.

Q: Find the area bounded by the curve 4 square units 8 square units 16 square units 10 square units =…

A:

Q: Find the average rate of change of between the points on the function whose coordinates are (1, 3),…

A: Given points are (1, 3) and (2, 16).

Q: A curve C in the plane passes through (0,7) and (5,8). At each point on C, the tangent line has a…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.