Problem 1. Calculate the approximate area under the curve of: 10 |-0.01646x +0.16253x² +0.07881x +4.85467 dx A. Rectangular rule when n=10 B. Trapezoidal rule when n=15

Q: suppose A is a positive real number, determine the area of the traingle enclosed by the lines x=0,…

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Q: 7. y=4x²-5x is known to be the relationship in a curved archway. Determine the area under this…

A: Note that, the curve y=4x2-5x and x=5 and x=1 intersect at (5,75) & (1,-1) respectively.

Q: 9. Estimate the area under the curve y = Vĩ between z = 0 and z = 4. Use 4 approximating rectangles…

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Q: 5. Find the equation of the line x = k that divides the area enclosed by the graphs of x = Vy,x = 3…

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Q: 7. Draw the dilation of ADEF by a scale factor -with center of dilation at (0, 0). Then, determine…

A: If a triangle is dilated by a scale factor k with the center of dilation at the origin, i.e., (0,0),…

Q: 1. A cylindrical drum is to be made to hold 208 L of oil. Find the dimensions that will minimize the…

A: Since you have posted a multiple question according to guidelines I will solve first(1)  question…

Q: 0. Approximate the area under the curve y =Vx from x-0 to x=2 using R5, right endpoints with five…

A: To compute the area of the integral using right endpoints from 0 to 2.

Q: 12.5* Compute the area between a lake and a straight line AG, from which offsets are taken at…

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Q: 1. Approximate the area under the graph of ƒ(x) = x² + 1 from x = −1 to x = 2. a. Sketch the graph…

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Q: Solve the D. E. to the I. V. P. sinx(e-y + 1)x' – cosx = 1, y(0) = 0 %3D %3D (1 – e') (1 + cos.x) =…

A: We will find out the required solution.

Q: (8) Suppose m > 0. Find the coordinates of the points (in terms of m) where y = mx in- tersects y =…

A: Here we have to find the area.

Q: Suppose we estimate x2 dx with the Midpoint Rule M2. Let Aj and Az be the areas of the 1st and 2nd…

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Q: 10. (8x + 3) dæ

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Q: Nap Lajoie has a lifetime batting average of 0.338. Assume that Nap Lajoie came to bat officially…

A: Given : Nap Lajoie has a lifetime batting average of 0.338 and came to bat officially six times…

Q: 8. KLMN is a rectangle. What is its image after a dilation with a scale factor of 1/3. *

A: We can dilate the rectangle with scale factor 1/3.

Q: Use finite approximation to estimate the area unde the graph of y = 3x² and above the graph of f(x)…

A: Given: y=3x2. To Find: Area using finite approximation from x0=0 to x0=8. (a) a lower sum with two…

Q: If the given three vectors are coplanar, then find the value of x. A = i-2j + 3k, B = xj + 3k, C =…

A: A, B, C are coplanar.So

Q: 3 %3D 1. Approximate the area under the curve 2 from 1 to 2 using 5 approximating rectangles of…

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Q: 33. For the first quadrant area bounded by the curve y-1-x², find the radius of gyration with…

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Q: von ² moren notional a from x = 1 to x = 2 8 y = ln x -

A: Given :y=lnx-x28