4 -. If Q is the point ( x, 1 The point P , - ) 4 |, find the slope of the 8. lies on the curve y 2 secant line PQ for the following values of x.

Q: Determine the slope of the tangent to the graph of y = 4 X Paragu at the point (1, 4).

A: Questions from application of derivatives.

Q: Give the equations of the lines through the point (0, 9) that are tangent to the curve y x + 4 Use…

A:

Q: 2) We only know the coordinate of one point on that tangent line. So we can’t find its slope easily.…

A: Find the solution below:

Q: A line with a positive slope is parallel to one of th below.

A: From the graph of positive slope line, at x=0 , y= 3 at x = 4 , y = 4

Q: 8. What is the slope of the line tangent to the curve defined below at the point (1,1)? 1 -1 -2

A: The solution are next step

Q: Find the slope of the secant line which connects the points (-2, 4) and (2, 0) on the following…

A:

Q: Determine the family of curves such that at each point the slope is given by 2xy^2

A:

Q: Find the length of the curve defined by 2? = 2y3 from x = 0 to x = 4:|| %3|

A:

Q: What is the slope of the secant line that passes through the points(a, f(a)) and (b, f(b)) on the…

A: Given: The secant line passes through the points a,fa  and  b,fb. Concept used: The slope of a line…

Q: -1 Where on the curve y = (256+ x²)¯* does the tangent line have the greatest slope? NOTE: Enter the…

A:

Q: Find the slope of the tangent line that passes through point (1, 2) to the graph 8y³ + x²y O-2/97…

A:

Q: 10 Calculate the slope of the secant line through the points on the graph where x = 1 and x = 3.…

A: f'(c) = [f(b) – f(a)]/(b-a).

Q: Suppose a curve is defined by the equati on y2 = x*(2- x). What is the equation of the line tangent…

A: Given curve

Q: he slope of the curve 2y2=ax2+b at (1,-1) is -1.Find a,b

A:

Q: What is the slope of the line tangent to the curve defined by y +xy-x 11 at the point (2, 3)

A:

Q: (8 points) Find the slope of the line tangent to the graph of 1 f (x) = 2x* – 32x + 17x2 – 9x + 4 at…

A:

Q: Find the exact length of the curve y3 = 22 from (-1,1) to (8, 4).

A: Use formula of length of curve

Q: Find the slope of the line tan gent to the curve of 2y³ + xy + 1 = 0 at the point (-3, 1) .

A:

Q: ind the curve that has slope (x+1)^2 and that passes through the point (−2 8)

A:

Q: B. Find the slope of the curve at the given point. 1. y = 4 – 3x2 at (-1, 1) 2. y = x2 – 5 at (1,…

A:

Q: In the qiven question , estimate the slope of the graph at the points (x1, y1 ) and ( x2, y2 ). see…

A: According to the given information, it is required to determine the slope of the graph at the given…

Q: 20. Does the line that is normal to the curve y = x² + 2x - 3 at the point (1, 0) intersect the…

A:

Q: Compute the slope of the secant line containing the points (1, f (1)) and D) on the graph of f (x) =…

A:

Q: Find the points on the graph of y = ex where the tangent line has slope 4.

A:

Q: Find the eqaution of the curve that passes through (0,1) if its slope is given by y'=1/2X at any…

A:

Q: Show that the line tangent to the graph of y = 9x + 4x - 2x at (1,11) is also tangent at (-1,- 7).…

A:

Q: Are there any points on the curve y = x - e^-x where the slope is 2? If so, find them.

A: To determine the point where the slope of the function is 2.

Q: Find the equation of the tangent and normal line using the stipulated conditions   1.) y = x2 - 5x…

A: Given the equation is y = x2 - 5x The point of intersection line y=6 The equation of the tangent is…

Q: 11. What is the slope of the tangent line to the curve y = 3x2 - 5 at point (-1,-2)? а. -5 b. -6…

A:

Q: what is the slope of the tanget line to the graph of x-= Incxy) at the point ClD (1.1)

A:

Q: what point/s (x,y) on the graph of f has/have the property that the line tangent to f at (x,y) has…

A:

Q: 1) Find the slope of the linels) tongent to the graph of (y+x)²-y =x² at X=0.

A:

Q: Find the slope of the tangent line to the curve defined by 2.- 6zy – 9y? - -622 at the point (1,8).…

A: The tangent line of a curve is a straight line that touches the curve's graph at a single point. The…

Q: 4. Find the equation for the line tangent to (persamaan garis şinggung) a. y= x2- 3 x + 5 at the…

A: The objective of the question is determine the equation of the tangent line.

Q: 5 Find the equation of line tangent the circle x+y = 25 at point (3, -4). .2 %3D

A:

Q: For the curve y = ax3 + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

A:

Q: Find equations of all lines having slope -1 that are tangent to the curve y = 1/(x - 1).

A: Given, y=1x-1 Slope,m=-1

Q: compute the instantaneous slope at: (-4, 8) • Start with two points A : (-4,8) and B: (-4 + h, ?)…

A: Given the function f(x)=18x2+x+10We have to find instanteneous slope at (-4,8)

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

A: Note that the slope of a horizontal line is zero. Also the slope of a tangent is given by the…

Q: Show that the line tangent to the graph of y = 9x+ 4x- – 2x* at (1,11) is also tangent at (- 1, -…

A: Given:- y = 9x+4x2-2x4  To find :- Equation of tangent line at point (-1, -7) and (1, 11)

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

A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: -4 The number of tangents to the curve of y=- x³ + 6x? which have a slope of 8 is:

A:

Q: What is the slope of the tangent line that touches the graph of In(y) + eA-=3y-4x at the point 3. 5

A:

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: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y 8, (2, 1) Witch of…

A:

Q: The point P(0.333333333333333,6) lies on the curve y = 2/x . Let Q be the point (x,2/x). a.) Find…

A:

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

A:

Q: What is the slope Curve y = of the +9 tengent Jine to the when X=4?

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.