Suppose f is an odd continuous function whose mean value (with respect to integral) on the interval [-2, 5] is 4 and L (8f(x)+K) dx = 34, where K is a real number. Calculate 3K.

Q: C. L-1 9s² +25

A: Since all the questions are different and not related to each other, as per the guidelines I am…

Q: Find the absolute extrema of the following function on the indicated interval.  f(x)=x^3+2x^2-3x+4…

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Q: Let f be the function given by f(x) = 4x³ - 5x² + 6x + 7. What is the value of f'(-1)? 28 O 12 CO

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Q: Find the constant a, or the constants a and b, such that the function is continuous on the entire…

A: Given function is: fx=3x3,x≤1ax+5,x>1 We know that a function is continuous at any point x=c if,…

Q: Suppose that the average number of M= (32+27t)/(2t+7) where t is the number of days on the (a) Is…

A: Given that: M=32+27t2t+7 Simplify it. M=27t+322t+7=272-1252t+7

Q: The interval in which the function is decreasing is at x2 бх + 1 2 x3 y = 3

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Q: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.