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

Q: EVALUATE. Find the equation of the family of curves whose slope at any point (x,y) is -4e-2xsin2x.…

A:

Q: 7. If y = find y' and use this result to find the points on the curve y = where the tangent line has…

A: slope of curve is given by dy/dx.

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

A:

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A:

Q: Find the equation of the curve for which y"= 2x³. The slope of the inflectional tangent at (-1, 3)…

A:

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 the slope of the curve, equations of the tangent and normal lines to the given point. 8x y at…

A: Solution

Q: 2x+1 Find the equation of the curve whose slope at (2,3) is given by 2y-3

A: Given that: Slope at (2, 3) is given by 2x+12y-3

Q: Find an equation of the line tangent to the graph of y = at the point (16, 4/4). Answer: y =

A:

Q: find the slope of the curve at the point indicated.

A: We need to find the slope of the curve at the point indicated, y=5x-3x2,x=1

Q: Find an equation of the line that is tangent to the graph of y = /1+x³ at the where r = 2. Write the…

A:

Q: Where on the curve y = (256 + x²) * does the have the greatest slope? %3D NOTE: Enter the exact…

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: Find the slope of the curve 1 at the point P (2, ;).

A: Explanation of the answer is as follows

Q: aph ea between the curve by y = x³ - 10x² + 16x and y = -x³ + 10x² - A B

A: using the graphing software plot the graph of the first equation y=-x3-10x2+16x

Q: Find the point on the graph of y = x3 such that the tangent at the point is parallel to the line y –…

A: Consider a graph: y=x3……1   Equation of line parallel to the tangent of above equation is:…

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

A:

Q: Find the slope of (1:2) the curve at the given point %3D

A: Given, x+2y2=x+10 Find the slope of the above curve at the point (1, 2).

Q: The curve for which y'' = 6 has a slope of –3 at its point of inflection (2, 3). Find the value of…

A: Given that, y'''=6

Q: with a slope of 2. 48. Find the equation of the tangent and normal lines to the curve y x+x² – x+1…

A:

Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

A:

Q: nd the equation of a curve whose slope at any point is equa d which passes through the point ( 2,9…

A:

Q: Find the equation of the line tangent to the graph of x³ + y³ = − 3xy - 80 at (-4,-4). The equation…

A:

Q: Find the x-and y-intercepts of the line that is tangent to the curve y = x3 at the point (-2, -8).

A: The equation of tangent line to a curve y = f(x) at a point (a,b) is given by the below equation.

Q: Consider the following curve. y = 3x2 - 10x + 1 Find the slope m of the tangent line at the point…

A:

Q: At what point(s) on the curve x = 9t2 + 5, y = t³ - 2 does the tangent line have slope (х, у)…

A: Given: Given curve is  x=9t2+5, y=t3-2,    dydx=12

Q: Find the slope of the tangent to the curve y = x² - 2x + 3. Also find the equation of this tangent.

A: Solution

Q: Find the x value of the point on the curve y = 3x + 2 closest to the point (1, 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: Find the slope of the following curve at x = 4. 1 y = х- 2 The slope of the given curve at x= 4 is

A:

Q: Consider the following curve y = 2x^2-9x+1 a. Find the slope m of the tangent line at the…

A: Given         y=2x2-9x+1→           1       slope of the tangent line is        dydx=ddx2x2-9x+1…

Q: The slope of the tangent line to the curve y - f(x) is perpendicular to the line3x-2y -S . The slope…

A: topic - slope of perpendicular line

Q: Find the x-coordinate of the point where the curve y = x3 - x crosses the horizontal line y = 1.

A: Given:                                 y=x3-x and y=1  Let                                y=x3-x…

Q: Consider the following curve. y = V1 - 24x Find the slope m of the tangent line at the point (-1,…

A:

Q: Find the equation of the curve whose slope at any point is In and which xy2 passes through the point…

A: Point (x1 , y1) = (1, -2) Slope = ln1xyxy2

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

A:

Q: Consider the following curve. y = 2x2 - 10x + 1 Find the slope m of the tangent line at the point…

A:

Q: The curve for which y" = 6 has a slope of -3 at its point %3| of inflection (2, 3). Find the value…

A:

Q: Find an equation of the curve that passes through the point (1, −2), and has the given slope y′ =…

A:

Q: Consider the curve given by y = 3x* – 6x2 + 2, a. Find the slope of the curve at the point whose x…

A:

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

A: GIVEN y2=3x+1 at(-1/3,0) we need to find the slope of the curve and graph the curve

Q: 14. Find the slope of the curve y = 2x3 – 3x at (-1 , 1)

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: Find the point on the graph of y = 1/(1 + x2) where the tangent line has the greatest slope, and the…

A: The graph of the function is drawn below.

Q: 49. Find the slope of the curve y = (2x2 - x+ 3)(x + x+1) at (1, 12).

A:

Q: 9. What is the slope of the curve at the given point? 5x? + 2xy – y = -3 at (,2)

A:

Q: Find the equation of the family of curve whose slope at any point (x,y) is 3x^2+4

A:

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

A:

Q: Locate the inflection points of the curve y = e²x²

A: The given curve is y=e2x2. The first derivative of y=e2x2 is, y'=ddxe2x2=2xe2 The second derivative…