At what point on the curve x = 3t2 + 2, y = t3 – 2 does the tangent line have slope ? (х, у)

Q: Find the equation of tangent and normal to the curve y= 3x2 - 4x+5 at (– 1, 12)

A: Given the equation y=3x2−4x+5

Q: At what points on the curve x = = 3t2 + 1, y = t³ – 1 does the tangent line have slope .

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Q: 3 Find the slope of the tangent line to x/y +yVx = 10 at (1,8).

A: given: x3y + y3x= 10differentiate given equation with respect to xx3 ddxy + y ddx x3+ y3ddxx+ x ddx…

Q: What is the slope of the line tangent line to the curve x²y = y2 – 6x when x=2?

A: The given curve is x2y=y2-6x. Substitute x=2 in the above equation and obtain that,…

Q: Differentiate (x-2)2+(y-3)2=9 at (7/2, ((6+3√3)/2)). Then use it to determine the equation of the…

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Q: Find the equation of the tangent line to the curve y= (1+2x)2 at the point (2, 25). y = %3D

A: This question is based on application of Derivative.

Q: What is the equation of the tangent line and the normal line to y = x2 – 4x + 2 at (4,2)…

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Q: At what point on the curve y= 1+ 3e* – 3x is the tangent line parallel to the line 2x - y = 5?

A: At what point on the curve  y= 1+3ex -3x is the tengent line prallal to the line 2x -y =5 . Here i…

Q: At what point on the curve x = 3t2 + 5, y = t3 - 5 does the tangent line have slope ? (х, у) %3

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Q: 3. What is the slope of the tangent line to y = 4* at x = 0?

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Q: Find the slope of the tangent line to the curve V4r + y+ VIY = /13 + V10 at the point (2, 5). The…

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Q: At what point on the curve x 3t2 + 1, y = t3 - 5 does the tangent line have slope ? (х, у) -

A: We have given curve as x=3t2+1         ⋯⋯1y=t3-5           ⋯⋯2 From the equation (1) and (2), on…

Q: At what point on the Curve x = 3t2 + 4, y = t³ - 6 does the tangent line have slope (х, у) %3D

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Q: The equation of the tangent line to the curve x2 + y = 9, at (6,-16) is %3| 16 y = (x + 6) – 16 6 6…

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Q: Find the slope of the tangent line to the curve 4x + 4cy- 4y° 276 at the point (- 1,4).

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Q: 3. Find the slope of the tangent line to curve x=2sin2t, y = cos4t when t=-

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Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x=axis ?

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Q: Find the slope of the tangent line to the curve - 42? – zy + y - 4 at the point (– 2, 2).

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Q: Show that the curve y = 7e* + 3x + 2x³ has no tangent line with slope 2.

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Q: What is the slope of the line tangent to the curve defined by y +xy-x 11 at the point (2, 3)

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Q: Compute Δy Δxfor the interval [4,10], where y= 2x-6   ________   What is the slope of the tangent…

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Q: Show that the curve of y = 2e2z + 3r + 2r3 has no tangent line with slope 2.

A: The given curve is y=2e2x+3x+2x3. Obtain first derivative as follows. dydx=ddx2e2x+3x+2x3=4e2x+3+6x2

Q: Compute y / x for the interval [2, 5], where y = 4x - 9. What is the slope of the tangent line at x…

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2(z + v²) = 25(z² - y³) at the point…

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Q: At what point on the curve x = 6t2 + 5, y = t3 − 1 does the tangent line have slope of 1/2?

A: We can use application of derivative in order to solve the given problem.

Q: ind the slope of the tangent line to the curve y = V4x – 3 at the point (13, 7).

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Q: -1 Where on the curve y = (196 + x²)¯ does the tangent line have the greatest slope? NOTE: Enter the…

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Q: Show that the curve y = 2e* + 7x + 8x³ has no tangent line with slope 6. y' = y'[ ? ÷]6, so no…

A: We know that d/dx (x^n) =nx^(n-1) Please see the explanation below

Q: At what point on the curve x = 9t2 + 2, y = t3 - 6 does the tangent line have slope ? (x, y) = ])-

A: Consider the curve

Q: Find the slope of the tangent line to the curve V3x+y+v2ry = Vi+v4 at the point (2, 1). The slope is

A: To find the slope we need dy/dx

Q: What is the equation of the tangent line to the curve x? + 2y² = 4 at point (1, 1)?

A: Find your answer below

Q: At what points on the given curve  x = 2t3, y = 4 + 16t − 10t2  does the tangent line have slope 1?

A: The tangent line of any given function is the line which  touches the curve of function at only one…

Q: At what point on the curve x = 9t2 + 7, y = - 5 does the tangent line have slope ?

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Q: Find the slope of the tangent line to the curve `-3 x^2 + 3 xy + 4 y^3 = 8` at the point (4,2)`.…

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Q: Calculate the equation of the tangent line to the curve 2x 3 + xy + 3x + y = 2 at the point (0, 2).

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Q: At what point on the curve x = 9t2 + 3, y = t3 – 2 does the tangent line have slope ? (x, y) =

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Q: Find the equation of a curve in the xy-plane that passes through (1,3) and -6x(2+y) V3 – 3x2 whose…

A: The formula for the substitution method for definite integrals is given by, where g'(x) and f(x)…

Q: At what points on the given curve x = 2t3, y = 4 + 8t - 11t2 does the tangent line have slope 1?…

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Q: At what point on the curve  y = 4 + 2ex − 4x is the tangent line parallel to the line  4x − y = 9?…

A: Given, y=4+2ex-4x First, find the slope of tangent line parallel to the line 4x-y=9 Find the point…

Q: Compute for the interval [2, 7], where y = 3x - 3. Ay Ax Ду Дх What is the slope of the tangent line…

A: we have y= 3x-3at x=2y=3×2-3 =3at x=7y=3×7-3 =18so,∆y∆x = change in y over the intervalchange in x…

Q: The slope of the tangent line to √x+y+√√xy = 2y at the point (2,2) is:

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Q: At what point on the curve y = 4 + 2e* – 4x is the tangent line parallel to the line 4x – y = 5? (x,…

A: Given: y=4+2ex-4x   and 4x-y=5

Q: Find the slope of the tangent to the curve y² In(x) + x<y = 5 at (1, 5).

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Q: Which is the equation of the tangent line to the curve x* +xy = 4 + y at the point (4,6)?

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Q: Find the equation of the tangent line to the curve y = + 6x at its point of intersection with the…

A: The tangent of any given function is the line that touches the curve of the function at only one…

Q: At what point on the curve x = 6t2 + 2, y = t3 - 5 does the tangent line have slope (x, y) =

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Q: What is the slope of the tangent line to the curve 3y- 2-6-2xy at the point (3, 2)?

A: Given,           3y2-2x2=6-2xy     To find slope, let's differentiate. wrt.x           3.2y…

Q: Find the tangent line to the curve ry = a +y+1 at (3,2)

A: Given data: The expression for the given curve is xy=x+y+1. The given point is (a,b)=(3,2).…

Q: Calculate the gradient of the tangent line to the curve y3 - x3 -xy = 1at the point (-1,0).

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