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

Q: Find the exact length of the curve. y = ln(Sec x),   0≤ x ≤ π/4

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Q: Make the curve y=ax*+bx³+ cx²+ dx+e pass through the points (0,3) and (-2,7) and at (1,4) have a…

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Q: Find dy/dx and d-Y/ dx" of x = 2t" 3, y = 1. Give the equation of the tangent line at t = 2.

A: We have to solve

Q: Find the curve y(x) that minimizes the I Cy) = S. cos x)+ ]2 Cunc tonal %3D

A: solution:-Given I=∫1+cosx+y121/2using Euler's equation ∂f∂y-ddx∂f∂y'=0sincef=1+cosx+y121/2is…

Q: dy Then find the slope of the curve at the given point. dx Differentiate implicitly to find…

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Q: Show that the slope dy/dx is defined at every point on the graph of 2y = x² + sin y.

A: Given- 2y=x2+sinx To prove- That the slope dydx is defined at every point on the graph of the above…

Q: Find the equation of the tangent line to the curve y=2sin(x) at the point (pi/6, 1) in y=mx+b

A: Using equation of tangent formula.

Q: Suppose a curve is defined by: x/x-y=y2-1 FIND dy/dx

A: Given curve is xx-y=y2-1 Divide rule of differentiation state as: ddxuv=vddxu-uddxvv2…

Q: Please help me find the length of the curve

A: We\'ll use arc length formula with a=pi/2, b=2pi/3.

Q: How many horizontal tangent lines does the curve parametrized by the equations z(t) =-4t-1,…

A: on doing derivative we get the 1

Q: Find the length of the curve y=ln(sec(x)), 0≤x≤π/4.

A: please see the explanation below

Q: Find dy/dx and d²y/dx². For which values of t is the curve concave upward?

A: x = t2 + 1 y = et - 1 dy/dx = dy/dt ÷ dx/dt

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: Q3. Evaluate : IL (2) * dy dx

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Q: Find the exact length of the curve. y = Vx - x2 + sin

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Q: find dy / dx x (xーソ):メーy to

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Q: Find dy if y = (1 – æ*) * dx

A: The function is given by y =1-x314 To evaluate : The expression

Q: Find an equation of the tangent line to the curve at thegiven point.   y = e2x  Cosπ   x, (0. 1)

A: Given: y=e2xcosπx at 0,1 for finding equation of tangent at given we need slope m of tangent at that…

Q: Consider the curve x³y²-5x²=(y²-x²)²+y³ Find: dy/dx d²y/dx² the tangent line at (2,3)

A: Given curve: x3y2-5x2=y2-x22+y3 To find: dydx d2ydx2 The tangent line at (2,3) Required formulas:…

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: Find dy/dx in terms of a and y if aty – x- 2y- 2 = 0. dy %3D dx

A: It is implicit  derivative.

Q: Find dy/dx if y = sec^3(1/x)

A: Given:

Q: Find dy/dx at the given point for the equation. x= 4 In(y2 - 3), (0, 2) dy/dx =

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Q: Find Dy/Dx given that y= x1-x

A: Given that y=x1-xwe have to find dydx

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: g=ズ, a find dy dx %3D

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Q: Find the slope of the tangent to the curve y at (2, 1) %3D xy + 6 dy dx (Enter undef if the slope is…

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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: 29. Differentiate the following implicitly to find dy/dx. Then find the slope of the curve at (1,…

A: Given: x3+y3=9 To Find: Differentiate the following implicitly to find dydx.Slope of the curve at…

Q: Find dy/dx in terms of t if x = te', y = -5t – 5e dy/dx = [

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Q: d the equatiom of the tangent line to the curve xy – 7 = Vx + y² at the point (5,2).

A: For finding tangent line to the curve , find the derivative of the function and put the value of…

Q: dy cos-1x Find for y = dx /1-x2

A: Given :   To find dy/dx:

Q: Find dy/dx for the curve x^2y^3 - y^2= x+y at the point (2,1)

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Q: Find dy/dx when y=√x^2-x

A: y=x2-x

Q: Evaluate the length of the curve: y = 3x + sinx, 0 ≤ x ≤ 1.

A: Let L be the length of curve  F(x) = 3x + sinx

Q: An equation of the tangent line to the curve y= cos(x) at a = T/3 is (- 7/3). %3D y =

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Q: dy Integrate dx = 4e®xand find equation of curve that passes through the point (1,7).

A: Given that, dydx = 4e8x

Q: A curve is defined implicitly by the equation x² + 3xy + y² = 1 Differentiate implicitly to find dy…

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Q: Evaluate ſxy dx+(x+y)dy along the curve y=x² from (−1,1) to (2,4).

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Q: Find dy/dx in terms of x and y if arcsin (x2y)=xy2

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Q: A curve is defined implicitly by the equation x²+xy+y³=1 dy Differentiate implicitly to find dx

A: Follow the procedure given below.

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 an equation of the tangent line to the curve, x^2-xy-y^2=1 at the point (2,1). (use implicit…

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Q: Find the length of the curve.   y = 2 In (Sin 1/2 x) , π /3 ≤x ≤ π

A: y=2lnsin12x,  π3≤x≤π Differentiating with respect to x, we get dydx=2·1sin12x·ddxsin12x…

Q: what is dy / dx if y^2 = x

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Q: Find the value of dy/dx at the point (−2, 1) for the function which is defined implicitly by

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Q: Use the method of isoclines to draw several solution curves for the equation: dy/dx = x/y

A: We can use isocline lines to draw constant slopes along that line. Using some (at least four but six…

Q: Find the length of the curve y = ln (sin x), π/6 ≤ x ≤ π/2

A: Given y = ln (sin x), π6≤x≤π2

Q: Please show all work: Find dy/dx for x2y - 2y + 5=0

A: Given:       x2y-2y+5=0   Differentiate separately both sides of the equation (trat y as the…

Q: Find the equation of the tangent line to the curve xy +xy 12 al the point (6, 1).

A: