***please show full work! This is very very urgent! Thanks!! Use the Trapezoidal

Question

***please show full work!

This is very very urgent!

Thanks!!

Use the Trapezoidal Rule with n = 10 to approximate the following integral. (1/x) dx Find the derivative of the following. (x) = ln (x4 sin 2 (x) ) If lim (x) = 5, then what is the value of the following limit? 3f (x) Which of the following demonstrates the Fundamental Theorem of Calculus? Note: The function f (x) is a continuous function on the interval [a, b] and F (x) is an antiderivative of f (x) dx = F (b) - F(a) dx = F (b) - F(a) dx = F (b - a) dx = f (b) - f (a) dx = F (a) - F (b) Integrated the following. 21/x dx The graph of the function f (x) is shown below. Use the graph of the function to find the following limit. (x) Use the table below to find x2 - 25/x - 5. A 2 liter oil can is being designed in the shape of a right circular cylinder. What dimensions, in terms of centimeters, should the designer use in order to use the least amount of material? Hint: Let x = 3.14 and round to the hundreds place. Determine whether the integral is convergent or divergent. If it is convergent, evaluate the integral. x (x) dx Find the derivative of the following set of parametric equations. x = t8 - 8 y = 9t Integrate the following. x7 ln (x) dx 3

Explanation / Answer

70. 3f(x) is 15

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