Example 8.1. Given that 1.0 1.1 y: 7.989 8.403 dy find and dx (a) x = 1.1 (b)x= 1.6. d'y at dx² 1.2 8.781 1.3 1.4 9.129 9.451 1.5 9.750 1.6 10.031 (V.T.U., (Rohtak,

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A: Given that, ∫01xdx=12 ∫01x2dx=13 ∫01x3dx=14 The integral to be evaluated is given as, I=∫011-2x3dx…

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A: To evaluate the following integral.∫-42 1-2x dx=∫-4121-2x dx+∫122 1-2x dx=?

Q: 1. Let f(x)= 3x3- 5x2 - 3,  x greater than or equals≥1.5.Find the value of df-1/dx at the point…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: Differentiate. y = In |4x² - 7x|

A: solution:-y=ln4x2-7xdydx=ddxln4x2-7x       =14x2-7xddx4x2-7x      {chain rule}      =8x-74x2-7x

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A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

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Q: If ["F(x) 1.2 f(x) dx = 7.2 and nd ["fix) dx = 5.6, find [° F(x) dx. X

A: we know that ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx, where c is betwwen a and  bgiven  ∫17f(x)dx=7.2 and…

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Q: Find the derivative of y with respect to > (x + 6) y = In V (x + 9)60 dy dx (Type an expression.)

A: