Find y in terms of x. dy dx 12x(3x 2 - 1)3, curve passes through (1, -3) A y= (3x 2.1) 4 B y = (3x 2 - 1) 4 - 3 © y = ; (3x 2 - 1) 4 - 11 D y = (3x 2 - 1) 4- 19

Q: Find an equation of the tangent line to the curve y = 2x +3 that is parallel to the line 8x y+3 = 0.

A: Find an equation of tangent line to the curve y=2x2+3 that is parallel to the line 8x-y+3=0

Q: Determine the equation of one of the curves for dy/dx = 4x which passes through the point (2, 3).…

A: We need to find a curve for dydx=4x which passes through 2,3.

Q: Find the equation of the tangent line to y = 2"-5a -5x+1 = 4. at x = y = 12 In 2 - 1

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Q: Find y in terms of x. dy dx (32-x) curve passes through (2,2)

A: According to question, given differential equation, dydx = x4 32-x57

Q: Find the equation of the tangent line to the curve y²(y² – 4) = x² (x² – 5) at the point (0, –2). |

A: Equation of tangent line is given by:y-y1=dydxx=x1·(x-x1)      .............[1]So first find dydx at…

Q: Find an equation of the tangent line to the curve y= (1+2x)^10  , (0,1)

A: First find the derivative of the curve at given point than write the slope intercept form of…

Q: find particular solution of (16x+5y)dx+(3x+y)dy=0. If the curve to pass thru the point (1,-3)

A: Given: 16x+5ydx=-3x+ydydydx=-16x+5y3x+y               It is a homogenous differential equation.…

Q: Find an equation of the tangent line to the curve at the given point. у %3D sec(x), (л/3, 2) 2nv3 y…

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Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x -4 and parallel to the line 6x…

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Q: Find the equation of the curve that passes through the point (3,6) if its slope is given by dy = 6x…

A: Note: As per company policy we are supposed to solve only one question. So, kindly re-post the other…

Q: Find the equation of the tangent line to the curve at the given point. y = 9x - 8Vx, (1, 1) %3D

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Q: Find the equation of the line tangent to the graph defined by the equation at the point (2,0).…

A: Given equation of curve ,xey-y=2 -1

Q: Find an equation of the line tangent to the curve defined by x + 3xy+ y = 5 at the point (1, 1).

A: Given  Curve ia x3 + 3xy + y2 =5 at the point(1,1) Find equation of tangent.

Q: Find the equation of the tangent line to the curve y=5x²-1 at x= -1. Y=15x + 9 Y=15x-6 O y= x-6 O…

A: Topic:- application of derivatives

Q: Find the equation of the tangent line to the graph xy^2 − 2y = x^2 at the point (2, −1).

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Q: ,4 Consider the curve whose equation is x4 + y* + 3xy = 5. The dy slope of the tangeant line, at the…

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Q: Find the equation of the curve that passes through the point (8, 8) if its slope given by dy 3D 7х —…

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Q: Find the equation of the tangent line to the curve at the given point. y 5x - 2Vx, (1, 3) Illustrate…

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Q: find y in terms of x  dy/dx = x^2 (8-x^3)^5  curve passes through (2,5) y=

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Q: 5) Find an equation to the line tangent to y = (x +3)³ at x = -3.

A: as per bartleby guidelines  i can do only first question. please ask other question seperately.

Q: Find y in terms of x. dy dx 5x 3/4, curve passes through (1, 10) A) y =- 7/4 א. -714. 5 By = 5x 1/4…

A: The given differential equation is dydx=5x-34. It is given that the curve passes through the point…

Q: Find the lengths of the curves y = sin -1x - √(1 - x2), 0≤ x ≤ 3/4

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Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

Q: Find the equation of the curve that passes through the point (8, 6) if its slope is given by dy = 5x…

A: Given that, the curve passes through the point 8,6 and the slope is given by dydx=5x-7

Q: Find the point where the tangent to the curve y = x +6x + 9x + 7 is parallel to the x-axis. 37.…

A: topic - point at which tangent line is parallel to curve. note : As per bartleby guidelines, we are…

Q: Find an equation of the tangent line to the curve y = 2x ^ 2 + 1 that is parallel to the line 8x -…

A: Given: the curve y=2x2+1 and the line is parallel to 8x-y+3=0 The equation of line tangent to the…

Q: Find the equation of the tangent of the curve y=x^3+(3x)^(-1) at point (1,4)

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Q: Find the equation of the curve that passes through the point (7,3) if its slope is given by dy = 7x…

A: As per our company's policy, we can solve first question only. Please repost other question…

Q: Find the equation of the curve that passes through the point (5, 4) if its slope is given by dy — За…

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Q: Find the function y = f(x) whose graph passes through the point (5π/12,3.5)if dy/dx =cos(2x−π/3).

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Q: The tangent line to the curve at the point (1,2) also passes through the d²y point (-1,4). If at any…

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Q: Find the equation of the curve that passes through the point (5,4) if its slope is given by…

A: dydx=5x-2dy=5x-2dxIntegrate on both sides

Q: Find an equation of the tangent line to the curve y = 2x ^ 2 + 3 that is parallel to the line 8x - y…

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Q: Find the equation of the tangent line to the curve y= 3x^2 - 2 passing through the point P(-1,1) .

A:

Q: Find the equation of the curve that passes through the point (8, 4) if its slope is given by dy = 5x…

A: Using variable separable form of Differential equation.

Q: Find an equation of the tangent line to the curve at the given point. y = 4.9x – x², (3,5.7) - y =…

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Q: find the PS of (16x+5y)dx +(3x+y)dy= 0. if the curve to pass thru the point (1,-3

A: 16x+5ydx+3x+ydy=0 -1equation 1 can be written as

Q: Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/2

A: Consider the function  y=3x(cosx) Point : π2,π2

Q: Find the equation of the curve that passes through the point (3, 8) if its slope is given by dy 3x –…

A: We have to find equation of curve

Q: Find the equation of the tangent line to y = 2**-3*+1 at x = 4. y =

A: Given: y=2x2-5x+1 To find: The equation of the tangent line to y=2x2-5x+1 at x=4

Q: Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).

A: To find the equation of the tangent line at the point (1, 1) to the curve given below.

Q: Find the equation of a tangent line to the curve y= 2x3 - 3x² - 10x + 1 which is perpendicular to…

A:

Q: Find equations of the tangents to the curve x = 3t 2 + 1 y  =2t 3 + 1 that pass through the point…

A: The given equations of curve are Solving equations (1) and (2) by substituting the values of t from…

Q: Find the equation of the line tangent to the curve y=x+cosx at the point (0,1)

A: Given, curve and point

Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x - 4 and parallel to the line 6x…

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Q: 5) Find an equation to the line tangent to y= (x + 3)³ at x =-3.

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Q: Find an equation of the line tangent to the curve defined by x^3+6xy+y^5=21 at the point (2,1)

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Q: Find the equation of the curve that passes through the point (6,6) if its slope is given by dy/dx =…

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Q: 6. Find the equation of the tangent line to the curve 2x3 + xy + y° = 4 at the point (1, 1).

A: Firstly we can find slope .i.e, dydx at (1,1). Then slope intercept form  y-y1=m(x-x1)

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.