Find the equation of the curve whose slope at any point is In and which xy2 passes through the point (1,–2).

Q: 1 ) Find the equation of the curve for which   y” =  6x – 4 and which passes through (1,2) and (-2…

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

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Q: Find an equation in the form y = ax? + bx + c whose graph has an x-intercept at x = -1 and a tangent…

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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Q: Find the points on the curve xy2 = 54 nearest the origin.

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Q: Find the equation of the tangent line to the curve y = 5sec(x) -10cos(x) at the point (pi/3,5).…

A: Given query is to find the equation of the tangent.

Q: Determine an equation of the line tangent to the curve at the given point. 4x² + 4xy + 3y 51, (3,1)

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Q: Determine the equation, in y= mx + b form, of the line that is perpendicular to the slope of the…

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Q: Consider the following equation. 4x3 + 3y2 = 52 Step 2 of 2: Find the slope of the tangent line at…

A: The given equation is 4x3+3y2=52. Evaluate dydx using implicit differentiation as follows.…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given curve:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given,          x=t2-4 , y=t3+6t , t=3To find: The equation of the tangent line.We know that,…

Q: Consider the curve defined by 2x - y + y3 = 0

A: Given, the curve 2x – y – y3 = 0.

Q: Find an equation of the line tangent to the given curve at a. y = x3 – 4x2 + 2x – 1; a = 2

A: Slope m of the tangent will be given by dydx Therefore, dydx=ddxx3-4x2+2x-1 ⇒dydx=3x2-8x+x…

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

A: We have to find the slope of the curve at the given point: y=x-1x+1, x=0 We know that slope of the…

Q: find the equation of the line tangent to the curve at the given point x2y2=4y ;(2,1)

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Q: Find the slopes and equations of the lines tangent to y = f(x) at the given point.

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Q: Find the equation of the curve that passes through (- 2, – 30) if its slope is given by oy = 9x2 -…

A: The slope of the given curve is given as dydx=9x2-8x and point passes through is -2, -30. To find :…

Q: Q4 if xy-yx=6 is the equation of a curve, find the slope and the equation of the tangent line at the…

A: As per our guidelines we can solve only first question. Please repost the other questions that need…

Q: Find an equation of the curve that satisfies dy/dx = 150yx14   and whose y-intercept is 2.

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Q: At what point on the graph of y = is the tangent line parallel to the line 2x-4y = 3? (B) (5.) m…

A: Given the curve y = x2/2 we need to find the point where the tangent of curve y is parallel to the…

Q: Determine the parameter equation of the following curve x2 + y2= 5

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Q: Given the equation 2y2 – 2xy – 4y +x? = 0 of a curve, obtain the x-coordinates of each point at…

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. x…

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Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

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

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Q: Find the slope of the curve at the point indicated, where t = 2 * 1 2. y = (t-1) 4 X = t+2

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Q: fird the equation of the fangent lineto the graph of Y= ☆ at X=2

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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: Given x=t+1 and y=t2, find the slope of the associated graph at the point (2,1)

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Q: After Identifying and sketching the curve for x2+25y2-4x+100y + 4 = 0, partimize the curve

A: Given: x2+25y2-4x+100y+4=0 To Find: i. Identify and sketch the curve.ii. Parametrize the curve.

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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Q: dy 20 yau

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Q: For what value of x will the curve y = x3 - 3x2 + 4 be concave upward?

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Q: (a) Find an equation of the curve that has slope (xy²- x2) dx + (3x²y² + x²y - 2x3 + y?) dy = 0 %3D…

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Q: Find an equation of the line tangent to each of the following curves at the given point. 4x 11, 12 y…

A: The given equation of curve is y=4xx2+3                  ……(1) Now differentiate the equation (1)…

Q: Find an equation of the curve that satisfies dy/dx = 150yx14   and whose y-intercept is 2.   y(x) =…

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Q: 7x Find the points on the graph y = x-2 - where the slope of the tangent line is parallel 28x +50y –…

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Q: 7. Find the member of the curve whose slope at any point is 2e¹x and passes through the point (0, 1)

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Q: Determine the equation of the curve whose slope at any point is equal to and which passes through…

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Q: y = (x-5)(x+1)

A: Given equation of curve y=x3(x-5)(x+1)                   (1) We have to trace the curve of above…

Q: Determine the equation of the tangent to the graph of the equation xy – 2x'y-3ry + 5y – 4 = 0 at the…

A: To find the equation of tangent to the given equation at (1,2).

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: By using slope formula and equation of tangent line, we find the required equation of tangent line.

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Equation of tangent to a curve y=f(x) at a point (x0,y0) is y-y0=f'(x0)(x-x0)

Q: Find the values of a and b for the curve x²y+ay²=b if the point (1,1) is on its graph and the…

A: It is given that, x2y+ay2=b   ...(1)and4x+3y=7    ...(2) Here equation 2 represent a tangent line…

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: use property of chain rule to find the slope and equation of tangent line

Q: Find the equation of the line that passes through the points of intersection of the curves y^2 = x…

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Q: Find the equation of the curve for which y"=6x^2, and which passes through the points (0,2) and…

A: The given differential equation is in the variable separable form and can be solved by integrating…

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a…

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1) at…

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.