0. 4 6. 8 7 4 f(x) 11 1. Let f be a continuous function on the closed interval [0, 8]. If the values of f at five points are given in the table above, the trapezoidal approxi- mation of | f(x) dx using four subintervals of equal length is (A) 36 (B) 42 (C) 48

Q: Based on the graph of g"(x) pictured above, how many points of inflection exist for the twice…

A: As we know The inflection point exists when  and conavity changes  of function

Q: f and f” are provided below. Use f” to find the open intervals where f is concave up and concave…

A: To find the intervals of concave up and concave down

Q: For the function f(x) = x - 8x2 +10 find %3D a) the intervals where f is increasing, decreasing b)…

A:

Q: S 2* + 1, if x < 0 l Vx + 3, if x = 0 10. a) Sketch the graph of f(x) where f(x) = b) Is f(x)…

A:

Q: 4. Let f(x)= = x-1 x²-1' (i) State the domain of f. (ii) At which values of x does f have a…

A: Detailed solutions are given below.

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A: Given: fx=90-x, gx=x2-x

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A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.