y=(x-2)^3-8  Find intercepts, critical points, local maximum/local minimum, inflection point(s), intervals of concavity.

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 81x2 +…

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Q: Determine the slope of the curve y =1/x+1 at point (−2,−1).

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Q: Find the equation of the line tangent to the graph of y = 2x - 8x2 + 2x -6 at x = 2. | %3D

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Q: Find the points on the curve y = 2x3 3x2 - 12x 4 where the tangent line is horizontal. (х, у)…

A: Find the points on the curve where the tangent line is horizontal as follows.The given curve is y =…

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: For the curve y = x² - 2lnx, locate all critical points and points of inflection.

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Q: Find two numbers such that their difference is 5 and their product is minimum.

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Q: There is a line through the origin that divides the region bounded by the parabola y = 7x X-axis…

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Q: Find the relative maximum point of the curve: Y=16x+4x2-x4

A: Solution of question as follows

Q: Find the points of intersection of the line y = 5 x with the curve y = 3 x + x^2

A: In order to find the point of intersection of given line line and curve , we must find values where…

Q: t this problem?

A: Consider the given parabola:

Q: The graph of f(z) = 2z³ + 12z² – 126z + 17 has two horizontal tangents. One occurs at a negative…

A: for the horizontal line find the slope first and set to zero.

Q: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

A: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

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: Find the equation of the line passing through the point (4,5) and perpendicular to the line y= x+2…

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Q: The marginal cost of a company is MC = 100 – 20x + x². 2006 and the fixed cost is The quantity that…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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: 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: Next There is a line through the origin that divides the region bounded by the parabola y = 4x –…

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Q: Q1) Sketch and Find all critical points, local minimum and maximum, concavity, concave up and…

A: The given function is y = 3x3 + 9x2     The critical point of the given function is calculated as:…

Q: What is the maximum vertical distance between the line y =x +2and the parabola y =x2 for     -1 ≤ x…

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Q: 3. Find the points of inflection: y = x- 2cosx

A: We have to find inflection point

Q: Find the point on the curve y = /2x + 3 which is closest to the point (5, 0).

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Q: A manufacturer's total cost equation per day is given by the equation TC = 440+4q+,00010². If each…

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Q: 7. When does the second derivative test indicate that a relative extrema is a minimum?

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Q: Find the curve in the xy-plane that passes through the point (9,4) and whose slope at each point is…

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Q: 3. Find the points of inflection: y = x-2cosx

A: Explanation of the answer is as follows

Q: 4=-Y36x-4)'+2 (4,2). Equation #15 maximum or minimum

A: Given function is,

Q: Find a possible point of inflection of the curve y x +3x2 + 6x

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Q: 4)Solve for the family of curves of straight lines with y-intercepts thrice as their corresponding…

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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 two positive number whose sum is 15 so that the sum of their square is minimum.

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Q: The tangent line to the curve y = x3 - 6x2 - 34x - 9 has slope 2 at two points on the curve. Find…

A: Given,  The tangent line to the curve y=x3-6x2-34x-9 has Slope=2 at two points on the curve.…

Q: 5) What is the equation of the line tangent to y = 2x³ + 3x - 1 atx=0?

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Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

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Q: Find the slope of the curve y=x^3-3 at the point ​P(-2,-11​) by finding the limiting value of the…

A: Given,y=x3-3Point P -2,-11The slope of the secant line ism=fb-fab-a

Q: A manufacturer determines that the cost in dollars for making "x" calculoodles is C(x) = 1800 + 25x…

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Q: Determine the critical value(s) of y = -8x2+ 12x + 3 and state if it is relative minimum or relative…

A: For critical point. Put dy/dx =0. Put the value of critical point in given equation to find critical…

Q: Determine the critical points of the curve y = x³ – 5x2 - 36 x + 25.

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Q: Find the equation of the line tangent to the graph of f(x)= 7x³ +5z2 - 3z- 3 at z = -5. %3D

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Q: find the length of the curve y = 2x6+1/8x2 from x is greater than or equal to 1 and less than or…

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Q: the point (-2, 0). Find the minimum rate of change of f(x, y) = x²e-2y at

A: Given: A function f(x, y)=x2e-2y and a point (-2, 0). To find: The minimum rate of change of a given…

Q: Find the x-coordinates of all points on the curve y = 12x" - 96x° - 168x + 26x + 91 where the…

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Q: Find the following points of intersection.

A: Given that, y=42xy=2x2

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: Given: y = 3x -9x -1 i. Determine its relative minimum point. ii. Determine its inflection point.

A: The solution are next step

Q: Encounter the critical points of f(x, y) = 16x3 - 9y2 - 36x2 - 12y + 6x - 27 and then denote each…

A: To find out the critical points and denote it's nature.