Trace the curve: y^2 = (x-1) (2x+3) (3x-1)
Q: Find the slope and y-intercept of the line through the point (6,7) that cuts off the least area from…
A: The line passes through the point (6,7) that cuts off the least area from the first quadrant.
Q: Apply derivative to determine the vertex of the parabola y = x² + 2x + 2.
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Q: Find the shaded area of diagram that shecked by curve y = x2 + 2x and the line y = -x.
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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 line tangent to the graph of y = exat x = 0.
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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 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: Find the points on the curve y = 2x3 + 3x2 − 12x + 3 where the tangent line is horizontal.
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Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (3,2v3).
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Q: Find an equation of the curve that passes through the point (0, 2) and whose slope is xy?
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Q: Find an equation of the tangent line to the curve y= x3 – 3x2 + 5x that has the least slope.
A: Given slope is 1st derivative
Q: What is the slope of the curve y = x2 (x + 1)3 at (1, 8)?
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Q: Find the slope and y-intercept of the line through the point (9,5) that cuts off the least area from…
A: Equation of line : Y - y = m(X-x) If this passes through point(9,5) Y-5 = m(X-9) Y = m(X-9)+5 X…
Q: The Gateway Arch in Saint Louis is modeled by the curve: y = 210 − 20 cosh ( x/30) . At what height…
A: yx = Height of the Gateway archyx = 210 - 20coshx30 Blue curve---------------------formulae…
Q: Find the slope and y-intercept of the line through the point (1,5) that cuts off the least area from…
A: In the question we have to find slope of line and y-intercept.
Q: the guidelines of this section to sketch the curve: y = x+ – 8x
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Q: Find the point on the curve y = /2x + 3 which is closest to the point (5, 0).
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Q: find the derivatives without using product or quotient rules. y= (5/(2x)^3)+2cosx
A: Refer to the question , we need to find the derivative of the provided function without the use of…
Q: Use the guidelines of this section to sketch the curve. y = (4 - x2)5
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Q: What is the length of the curve y = sqrt(4-x2) from x = -2 to x = 1?
A: y=4-x2 Differentiating with respect to x, we get dydx=124-x2·d4-x2dx ∵dxdx=12x=124-x2·0-2x=-x4-x2
Q: Use the guidelines of this section to sketch the curve y =2 sqrt x - x
A: Given y=2x-x
Q: Find the curve y = ƒ(x) in the xy-plane that passes through the point (9, 4) and whose slope at each…
A: Given, the curve y = ƒ(x) in the xy-plane that passes through thepoint (9, 4) and whose slope at…
Q: at the line x = 3. %3D
A: Find the volume of the solid generated by revolving the region between the parabola x=y2+1 and the…
Q: Find the coordinate of the local maximum for the curve 21 y=2+9x- +2x
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Q: Find one point on the curve where the tangent line is horizontal y2=x3-3x
A: We have the equation of given curve as y2=x3-3x Now, the slope of the tangent can be calculated as…
Q: Find the slope and y-intercept of the line through the point (6,6) that cuts off the least area from…
A: Given : Point (6,6)
Q: What is the length of the curve y3/2+4 from the point (1,5) to (4,12)?
A: To find: The length of the curve y3/2+4 from the point (1,5) to (4,12).
Q: Use the guidelines of this section to sketch the curve. х — 6 y = x2
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Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).
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Q: Explain the rule of maximum and minimum using Derivatives with an example?
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Q: Use the guidelines of this section to sketch the curve. y = x √(5- x)
A: We can not have negative number inside square root So, 5-x≥0 x≤5 Let us make a table of values x…
Q: Determine the intervals of concavity and point of inflection of curve y=2x^4-3x^2+2x+1
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Q: Find the distance between point (5,-1) and line x=3y-12.
A: Given: The point (5, -1) and the line x = 3y -12. To find: The distance between the given point and…
Q: Find the slope of a line tangent to the curve y = 15x- 5x at x = 1
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Q: Find the points on the curve y = 2x3 + 3x2 − 12x + 2 where the tangent line is horizontal
A: To obtain the points where the tangent line is going to be horizontal to the curve, we need to find…
Q: 3. 3 3x2 - y2 at (2, –3)
A: If derivative less than 0 then curve is decreasing
Q: Show that the curve y =6x3 +5x -3 has no tangentline with slope 4.
A: Consider the following equation of curve: y=6x3+5x-3 Differentiate y with respect to x:…
Q: What point on the curve y = x is closest to the point (5, 0)?
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Q: Find the point on the curve y = 3x + 4 which is closest to the point (5, 0). Preview Preview
A: Let (x, y) be the point closest to the point (5, 0) We will calculate the distance between these two…
Q: What is the slope of the line tangent to the curve 8x3-y2=4
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Q: Find the following points of intersection.
A: Given that, y=42xy=2x2
Q: Find the equation of the line tangent to the curve y = 4x² – 8x + 4 at the point(5, 64). -
A: NOTE: Refresh your page if you can't see any equations. . take derivative
Q: Find the slope and y-intercept of the line through the point (2,7) that cuts off the least area from…
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Q: Find the derivative. y= 4x²e- x- y%3D4X
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Q: Describe how you would use the second derivative to determine a local minimum or maximum.
A: Given data is: How you would use the second derivative to determine a local minimum or maximum
Q: Find the point of inflection of the curve y= -x^3+x^2-x+1
A: The expression for the curve is given as, y=-x3+x2-x+1 The expression for the point of inflection…
Q: Find the slope and y-intercept of the line through the point (1,2) that cuts off the least area from…
A: Given : Point ( 1 , 2 ) It cuts off the least area from the first quadrant
Q: Find the slope of the curve y² = 3x + 1 at the point (- ,0). Draw the graph of the curve.
A: y2=3x+1 Differentiating with respect to x, we get 2y·dydx=31+0⇒2y·dydx=3⇒dydx=32y Now slope of the…
Q: Use the guidelines of this section to sketch the curve. y = x/7 - x2
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Trace the curve: y^2 = (x-1) (2x+3) (3x-1)
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- Describe how you would use the second derivative to determine a local minimum or maximum.The Gateway Arch in Saint Louis is modeled by the curve: y = 210 − 20 cosh ( x/30) . At what height is the slope half of the maximum slope M of the Arch? Explain. Plot the curve and its derivative (on separate graphs).find tangent line to the curve y=3x/7-x at a point of (-3,2/7)