QUESTION 6 If fix) – x and f(x)-3x², then the slope of the curve y-fx) at x -2 is : O 12 02

Q: Question: 6 -64 has slope 16 x-8 Find the points at which the tangent line to the curve y =

A: We are going to solve

Q: 1. Find the equations of tangent and normal lines to the curve whose equation y? - 6x2 + 4y + 19 = 0…

A:

Q: Suppose a curve is defined by the equation 16(x² + y²) = 45. Show that if you translate the curve to…

A: we have to translate the curve.

Q: 1.) Find the slope of the curve y^2=3x+ 1 at the point ( 1/3,0) Draw the graph of the Curve.

A: Slope of curve is given by its derivative   Given curve, y2=3x+1

Q: Find an equation of the curve that passes through the point (1, 3), and has the given slope y′ =…

A:

Q: Find an equation of the tangent line to the graph at the given point. (y - 3)² = = y = 1 4(x - 5),…

A: The given equation is; (y-3)2=4(x-5), (6,5).

Q: QUESTION 1 Find the equation of the line tangent to the curve In(x3+v) = xv3 at (1, 0)

A:

Q: Question 15 If the line 3x - 4y = 0 is tangent in the first quadrant to the curve y=x' +k, then k is…

A: Given

Q: Find the equation of the curve whose slope at any point (x, y) is given and which passes through the…

A:

Q: The slope of the curve defined by the equation y-x + x =-2 at the point (-1,0) is %D

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Slope = dy/dx

Q: Example 9.1. Form the difference equation corresponding to the family of curves Y = ax + hr²

A: Please find step by step answer below:

Q: Question 5 Given a curve of y =+ If the slope is find the points that lies on the curve.

A:

Q: Given the equation of curves: y = x2 + 7x + 6 and x - 2y = 6. Find the slopes of the tangents of the…

A: We begin by finding the points(s) of intersection of the 2 curves y =x2+7x+6  &  x-2y = 6y…

Q: The equation of the tangent line to the curve at the given point. x2 v2 2-13 = (1, 1) is %3D 100 4…

A:

Q: A curve is defined by the equation xy - 6+x?y = 0. (a) Verify that the curve passes through the…

A:

Q: Therefore, the curve y = x* - 2x2 + 2 has horizontal tangents at x-0, 1, and -1

A: Just compute the derivative and equate it to zero.

Q: Question 2 What is the slope of the tangent line to the graph of x² - xy - 4y² + 2x + 4y = 8 at (4,…

A:

Q: Question 7 What are the coordinates of the points in the graph of y2-x2+6x – 13=0 in which the…

A: Explained below

Q: What are the coordinates of the points in the graph of y2-x²+ 6x – 13=0 in which the tangent line is…

A:

Q: Find the values of a and b for the curve x2y +ay? -b if the point (2, 2) is on its graph and the…

A: Given x2y+ay2=b

Q: Question 7 of 18 Find the point (xo, yo) on the graph of y x39x2 3x - 5, at which the slope of the…

A: Given:

Q: 1. Sketch the curve x? + x?y? = a?y², a > 0. Enumerate the steps in your solution.

A: As per guideline I can solve only one question at a time. Ask rest of the question next time.…

Q: 1 5 Determine the equation of every tangent to the curve y = =x° - 10x that has a slope of 6

A:

Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Topic = Differential equation Correct option = d

Q: Question 5 Two different level curves of the graph of z = f(x, y) can intersect. O True False

A:

Q: ve passes through the point (0, 9) and has the property that the slope of the curve at every point P…

A: Topic:- application of integration

Q: The line y = ax + b is tangent to the graph of y = x3 at the point P = (-3, -27). Find a and b.

A: The line y = ax + b is tangent to the graph of y=x3 at the point P=-3,-27. we have to find the…

Q: dy 20 yau

A:

Q: QUESTION 7 A curve has an equation of y = x - 6x² + 9x + 2. What is the slope of the curve at its…

A: topic - slope of the curve

Q: QUESTION 2 Write down the equation of line with slope -1 and y-intercept 4. BIU X2 / 田 24=▼= ▼冊 x? S

A: Given ,slope (m)=-1  and y-intercept = 4 The general equation of line is expressed as y=mx+c

Q: B. Find the slope of the curve at the given point. Ax = 4u(2 – 3u)², y = 3u² – 4u + 4 u =

A:

Q: Find an equation of the curve that passes through the point (1, 1), and has the given slope y′ = −…

A: y'=-9x16yPasses through (1,1)Formula∫xndx=xn+1n+1+C

Q: Given the equation of a family of a curve, find the general solution from the choices below. x3 y² =…

A: Given that: y2=x3c-x     NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: Question 2. Compute the slope of the secant line over the interval [-1,3] of the function g(x) with…

A: Compute the slope of the secant line over the interval -1,3 of the function as follows.

Q: Question 14 A line is tangent to y = x³ - 2 at (2,6). What is the coefficient of x when the line is…

A:

Q: 15. Determine the equations of two lines that pass through the point (-1,-3) and are tangent to the…

A:

Q: Which of the following is the equation of the curve that passes through (1,3) and having the slope…

A: We want to find true option.

Q: Question:2) Which of the following point is not present on the curve which has the equation x² + y =…

A: Given: x2+y=25 The point (3, 14) is not present on the given curve Since, The point (3,14) not…

Q: 2. The slope of the tangent to a curve at any point (x, y) on the curve is. Find the equation of the…

A:

Q: Find an equation of the curve that passes through the point (8, 2), and has the given slope y′ =…

A: Solution:-We have to find an equation of the curve that passes through  the point (8,2) and having…

Q: Question 6 2x - 1 What is the slope of the tangent line that touches the graph of In( y) +e='=3y –…

A: Basic derivative problem

Q: Find the values of a and b for the curve x2y +ay2 = b if the point (2, 2) is on its graph and the…

A:

Q: B. Find the slope of the curve at the given point. 16. 2x²-3x+1 at (2, 3) 17. =3x²-2x+1 at (-1,6)…

A:

Q: (a) If G(x) = 4x2 -x3, find  G'(a) and use it to find equationsof the tangent lines to the curve…

A: Gx=4x2-x3 Now differentiating with respect to x, we get G'x=42x-3x2=8x-3x2 Now slope of the tangent…

Q: 13. Show that there are no tangents to the curve y = can be concluded about the graph? 2x+1 4x +3…

A: We have to prove that negative slope is not possible for graph.

Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

A: To find the equation of family of curves whose slope is given .

Q: Question 3 Find the equation of the line tangent to the graph y = x3 – 3x2 – 5 at the point of…

A: It is equation of line problem

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

A: given  point (2,1)

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.