find the under the curve y=7-t^2 and above the t-axis

Q: Find the slope of the tangent line to the curve 4x2 – 2xy – y = 32 at the point (2, – 2).

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (x + y ²)² = 25 (x² – y²) at the…

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Q: Find the points where the tangent line to y =2+4 is horizontal (Critical points)

A: We need to find points where the tangent line to y=xx2+4 is horizontal. In other words, we need to…

Q: 5. Find the slope of the tangent line to the curve y + 2yx3 - x-5y3 = 0 at (0, 5). %3D

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Q: Find the points on the curve y = x4- 6x2 + 4 where the tangent line is horizontal.

A: y=x4-6x2+4 Differentiating with respect to x, we get dydx=4x3-62x+0=4x3-12x Now the tangent line is…

Q: Find an equation of the tangent line to the curve y = x - 3x + 5x that has the least slope.

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Q: Find the line tangent to the curve x + y3 = 4 at the point (3/3, –1).

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Q: Find the points on the curve y = 2x + 3x2 - 12x + 7 where the tangent line is horizontal. (х, у) %3D…

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Q: Find the slope of the tangent line to the curve y = x3 + 3x - 8 at (2, 6).

A: We have to Find the slope of the tangent line to the curve   y = x3 + 3x - 8 at (2, 6).   We have…

Q: What is the slope of the tangent line to the curve y=3cos2x  at x=π/4 ?

A: First find out derivative then put the value

Q: The second derivative of curve: y = acosx, will be Select one: acosz acosx O -asinz O asinx

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Q: Find the equation for the y perpendicular trajectories of the curve family. 1. x

A: perpendicular trajectory

Q: Find an equation of the form y = f(r) for a curve with z-intercept 2 whose tangent line at any point…

A: we have to find an equation of the form y=f(x) for a curve with x-intercept 2 whose tangent line at…

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 - 4x² + 4xy - 1y³ = - 148 at the point (3, 4).

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Q: Find an equation of the tangent line to the curve y 9tanx at the point %3D

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Q: Find an equation of the tangent line to the curve y = 5 – 2x – 3x² at (1,0). y =

A: We will find the equation of the tangent line to the curve at the given point as following.

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 9 where the tangent line is horizontal. (x, y)…

A: According to the given information it is required to calculate the points on the curve where tangent…

Q: What is the slope of the tangent line to the curve y = 2sin 4x at x = 4

A: Given, The curve  y = 2sin4x   We have to find the slope of the tangent line to the curve at x = π4.…

Q: Find an equation of the line tangent to the curve defined by " + 5xy +y = 68 point (2, 2) at the

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Q: Find equations of the tangent line and normal line to the curve y = 5x-32T at = 4. %3D

A: This question is based on straight line.

Q: Find the points on the curve y= x 4-6 x2 +4  where the tangent line is horizontal.

A: Find the points on the curve y=4x-6x2+4  where the tangent line is horizontal.

Q: Find an equation of the tangent to the curve f(x) = /x+ 7 that has slope %3D 4

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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: Find an equation of the tangent line to the curve y = 2x2 +3 that is parallel to the line 82 – y + 3…

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Q: Find the slope of the tangent line to the curve 3x + læy + 3y° = - 199 %3D at the point (1, – 4).

A: we know that the slope of the tangent to the given curve is =dy/dx.

Q: For the curve 3e arcsin (y) + 2 (x² + y²) = 2, find the slope of the tangent line at the point…

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Q: Find the points on the curve y = 2x3 + 3x2 12x + 8 where the tangent line is horizontal. (х, у) %3…

A: Given curve is : y = 2x3+3x2-12x+8 Tangent line is horizontal at points where slope=0

Q: Find equations of the tangent and normal line to the curve y = 3Vx – 2Vx4 at (1,1) |

A: NOTE: Refresh your page if you can't see any equations. . to find the slope take the derivative

Q: Find the equation of the tangent line to the curve y = 8/x2 + x + 2 at x = 2.

A: Given, y=8x2+x+2,  at x=2 slope of curve at x=2 is dydx dydxx=2=-82x+1x2+x+22dydx=-4064=-5/8 at x=2,…

Q: Inc is perpendicular to the linez =7 at the point where The tangent line to the graph of y

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: At whhat point on the parabola y = x - 3x-5 is the tangent line parallel to 3x-y 2

A: Given y=x2-3x-5 To find the tangent line parallel to 3x-y=2

Q: Find the equation of the tangent line to the curve y=lnx2 that is parallel to the straight line y=x.

A:

Q: Find the equation of the tangent line to the curve y=xVx +5 at the point (2,6).

A: Given : y= x √(x²+5)  To find tangent line equation, we need to find differentiation of this…

Q: Find the slope of the tangent line to the curve 2² – -1 4.xy + 4y: at the point (1, - 1),

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Q: Find the slope of the tangent line to the parabola y= 2 +x−x^2 at the point (0,2).

A: Simply take the derivative of the given equation and substitute the given point.

Q: Find the equation of the tangent and the nirmal to the curve y=5x4 at the point (1,5)

A: Given curve,  y = 5x4  To find the equation of tangent and normal at the point (1, 5)

Q: Find the tangent line at (-1,3) to the curve y* – 2x*y' - 27=0.

A: Given, The equation of the curve    y4 -2x2y3 -27 = 0  We have to find the  tangent line at -1, 3 .…

Q: Determine the equation of the line tangent to the curve square root(xy)=x-2y  at point (4,1)

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Q: Q4/ Explain the rule of maximum and minimum using Derivatives with an еxample?

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

A: NOTE: Refresh your page if you can't see any equations. .

Q: Determine the point(s) where the tangent to the curve is horizontal: y = (x2 + 2x + 1)(x2 + 2x + 1)

A: Given problem:- Determine the point(s) where the tangent to the curve is horizontal:   y = (x2 + 2x…

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: Find the equation of the line tangent to the curve f(x) = 11xe" at the point (0, 0). Round decimals…

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Q: Find the slope of the tangent line to the curve y = (1+ 4x)7 at the point x = 2. %3D

A: Slope of the tangent line is obtained by just derivative of the function  wrt the independent…

Q: Find the points on the curve y=2x^3 + 3x^2 -12x +3 where the tangent line is horizontal.   (x,y) =…

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Q: Show that the tangent line to the curve at y = 3x²+ 6x− 5 the point (−1. −8) is horizontal.

A: To show: That the tangent line to the curve at y=3x2+6x−5 the point -1,-8 is horizontal. Concept…

Q: Find the point on the parabola y= X- + 4 whose tangent line is parallel with y = 3x -5

A: Let a point on the parabola is h,k. Now the slope of the tangent line is given by: m=dydxh,k Since,…

Q: Find the points on the curve y = 2x3 + 3x² – 12x + 5 where the tangent line is horizontal. (х, у) )…

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Q: Determine the slope of the tangent line to the curve (x² + y² – 2x)² = 2(x² + y²) at (2, 2).

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