(1) The slope of the line L through the points (0,-2) and (2,0) is : 1

Q: A curve on the xy-plane passes through the point (0, a) for some number a, and has the property that…

A: This problem is based on a variable separable first order ordinary differential equation. We have to…

Q: 2 Find an equation of the line L, where L is perpendicular to y =x and passes through the point…

A: Given a Line L which is perpendicular to  y = (2/3)x  at point (3,2)  Equation of line L is…

Q: Find the equation of the curve that passes through the point (1, 3) and has a slope of at any point…

A:

Q: 11. Find the slope-intercept of equation of the line J through (1, -5 H having an equation of 3-y =…

A:

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

A:

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

A:

Q: Find the equation of the curve that passes through the point (1, 3) and has a slope of y/x2 at any…

A:

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

A: The equation of the curve is  2y2 = ax2+b…

Q: Find a general form of an equation of the line through the point A that satisfies the given…

A: We have to find the equation of line in general form where line is passing through point A-1, 4 and…

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: 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: Find the equation of the curve whose slope is 3x^4 - x^2 and passes through point (0,1). a. x3 3x5…

A: Given: slope of the curve= 3x4-x2  and passes through the point (0,1)To Find: Equation of the curve

Q: 3. On rhombus WXYZ, if W is located at (-5, -2) and Y is located at (3, -2), what is the slope of XZ…

A: Givenwxyz is a Rhombusw(-5,-2),y(3,-2)we know that

Q: 3. Find the slope of the graph tangent to the curve y =x* - 2x3 +x that passes through the point (2,…

A:

Q: 8 and 2 20x+ 25, find the slope of the secant line between the values of a1 %3| If f(x)

A:

Q: Find the slope of the curve x²+y²-6x+10y÷5=0 at point (1, 0)

A:

Q: 4. Find the equation of the line that is perpendicular to -7.x + y = -2 and passes through (1, –3).…

A: Hi,  As per Bartleby rules we are supposed to do only one question at a time.  Kindly repost other…

Q: Find the equation of a line parallel to the line from part a) 1 and passing through the point (6,…

A: (a)From the given information, the line passing through the points (3, 4) and (–6, 1) and the…

Q: Find the equation of the family of curve whose slope at any point (x,y) is (x+1)/(y-1)

A:

Q: The equation of the curve passing through the point (2, 3) and having slope 6x^2 - 8x + 1 at every…

A: Solution is given below:

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: 1. Find the DE of all straight lines with slope and y-intercept equal.

A:

Q: Find the member of the curve whose slope at any point is 2e** and passes through the point (0, 1)

A: We need to find the member of the curve whose slope at any point is 2e^(4x) and passes through…

Q: Suppose you are standing at a point P = (60,40) on a hill whose shape is given by f(x, y) = 1000 –…

A:

Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…

A: Given that a line passes through (x1, y1) and has a slope m

Q: B) Find the equations of all lines having slope-1 that are tangent to the curve y = -3)

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: If the slope of an arbitrary curve y=f(x) at a point p0(x0, f(xo)) is S. So do you think the slope…

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 curve: y= x^2/x^2 -1 at x=2

A: Slope of curve is the derivative of curve at the point .  Slope = m = ( dy/dx ) | x = a

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)?, and passing…

A:

Q: What is the slope of the secant line that intersects the graph of h(x) = 16 – z at z = l and a = 4?

A: The slope of the secant line or any other line can be defined as the rise to the run ratio which is…

Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

A:

Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…

A: We will derive this formula using the equation for the slope of a line. let us consider a line whose…

Q: Find the slope of the curve at the given point. y3= x3/2a-x   at (a,a)

A:

Q: B. Find the general equation of the line satisfying the given properties: 1. Passing through (2, 4)…

A: We are allowed to solve only first 3 sub parts. kindly repost others. Thank you     Given 1. Passing…

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

A:

Q: If the curve is defined by y= x⁴ - 8x³ + 22x²-24x+9, then what are the value/s of x for which the…

A:

Q: 16. Determine the slope-intercept equation óf å llhe that passes through the points (3, – 1), (-3,5)

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: An equation of a line through (3, 3) which is perpendicular to the line y=−4x+1 has slope at…

A:

Q: 45. Parallel to -3x + 4y = 12, passing through (-4, – 6)

A: The line is parallel to -3x+4y=12, passing through -4,-6

Q: The slope-intercept form of the line with soope equal to 2/9 and y-intercept at (0,4) is

A: Given: Slope= m=2/9  Point = (X1,Y1) = (0,4)

Q: At the two points where the curve x2 - xy + y2 = 36 crosses the x-axis, the tangents to the curve…

A: x2-xy+y2=36

Q: Identify the slope from the line of best fit y = |- 0 NIN 31 0-²

A: Solution-: The given regression line is  y=27-13*x We want find the slope of the regression line

Q: ]Find the x-intercept of the curve that passes through the point (0,2) and whose slope at (x,y) is…

A:

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 3 y at any…

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.