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FIGURE 4 Graph of y = x – 8x – 1.
19. Find an interval of length i in [0, 1] containing a root of x
5x +1 = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec9142f5-cfc3-430b-95d0-c73773c7c9bc%2F2d2746be-f1dd-4060-b543-c0d967427ce3%2F1ebzud_processed.png&w=3840&q=75)
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- X^2+2*x on the interval 0 to 3 with a step size of .5 using trapezoid ruleFind all points (x, y) on the graph of g(x) = 1/3 x3 - 3/2 x2 + 1 withtangent lines parallel to the line 8x - 2y = 1.A solid object placed along the x axis has cross sectional area at a value x equal to A(x) = e^2x. Find thevolume of the object over the interval [ -1 , 3 ]
- Find the values of constants a, b, and c so that the graph of y=ax^3+bx^2+cx has a local maximum at x=-2, a local minimum at x=-4 and inflection point at (-3,18)- Find by integration the area of the triangle having vertices at (5, 1), (1, 3), and (-1,-2). - Find by integration the area of the triangle having vertices at (3, 4), (2, 0), and (0, 1). - Find the area of the region bounded by the curve x³ x² + 2xy - y² = 0 and the line x = 4. (HINT: Solve the cubic equation for y in terms of x, and express y as two functions of x.) Find the area of the region bounded by the three curves y = x², x = y³, and x + y = 2. Find the area of the region bounded by the three curves y = x², y = 8 - x², and 4x - y + 12 = 0.7) Determine the x - coordinate of the local maximum of the curve y = (2x-1)^2 (3x+4) in the interval [-1.5, 1].