Part f and g and h (a)Calculate the area under the curve y =between x = 2 and x = 8.(b)Find the area enclosed by the curve y = 4x² and the x-axis betweenx = -2 and x = 2.(c)Find the area enclosed by the curve y = x³ and the x-axis betweenx = -2 and x = 2.(d)Compute the area bounded by y = cos2t and the t-axis from t = 0 tot =}.Determine the area bounded by the curve y = 12-8x + x² and the x-(e)axis.(f)Find the area enclosed between the line y = 3x and the curvey? = 25x.Calculate the area enclosed between y = x(x-2)(x- 5) and the x-(g)axis.(h)Calculate the area of the shape defined by the curves y =- andy = e0.2x - 2 and the lines x =1 and x = 3.

Only one question allowed to be solved at a time . I have solved 2 and included hints for third…

Answered: (f) Find the area enclosed between the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(SUB-PART C ONLY PLEASE) Each row represents an experimental “run” (in this case, averaged sample of mango wine). Column A shows the run number; Column B shows the percentage of ethanol; Column C shows the amount of glycerol (in g/L); Column D shows the amount of acid (in g/L); Column E shows the temperature of the run (in °C); and Column F shows the pH of the run. Y represents Ethanol of mango wine. 1. Create a scatterplot of the ethanol data for all 20 runs (CREATED) a. Draw a graphical representation of the model that you chose to use. (CREATED WITHIN SCATTERPLOT) b. Comparing the model to your data, evaluate its fit in one or two sentences. (LINEAR MODEL; The conditions to say that the model is a good fit are as given below: To say that the model is the good fit, the coefficient of determination should be high. Atleast one the predictor variables should be statistically significant in predicting the response variable. ) c. Replace the generic Yi = β0 + ε with the information you…
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(f) Find the area enclosed between the line y = 3x and the curve y? = 25x. Calculate the area enclosed between y = x(x- 2)x-5) and the x- (9) axis. (h) 1 Calculate the area of the shape defined by the curves y =- and y = e02x - 2 and the lines x 1 and x = 3.