Substitute the actual values into the formula for the average value of a function. ( A(x)=1/(6-2)((∫ )_2^63x^2dx)) Since ( 3) is constant with respect to ( x), move ( 3) out of the integral. ( A(x)=1/(6-2)(3(∫ )_2^6x^2dx)) By the Power Rule, the ...
Find the average value of the function f(x, y) = x^2y over the rectangle R= [-1,1] \times [0,5] Find the average value of f(x,y) = 2x^2 y over the rectangle R with vertices (1,1), (2,1), (1,4), and (2,4). Find the average ...
First, we have to find average A=∫ab dx and apply in general form. Here, the given interval for integration is, a=0 and b=10. Apply the limit in the integral function and get the average value. Answer and Explanation: The given function is: f(x)=3x+1 ...
The average value of the function will be found using the definite integral set up. This is because integration is the accumulation function. Answer and Explanation: We have to find the average value of the function f(x)=x on [0,2]. So, the average is give...
a) Find the integral of f(x, y) = 3x^2 + 6y^2 + xy over the region R defined by y: x \rightarrow 1 and x: 0 \rightarrow 1. b) Find the average value of the function in part a) above over the r 1. Find the a...
The average value of f is defined as: 1/(b-a)∫ f(x) dx (where integral is evaluated from a to b) If we are to integrate f(x) = x3 we get: (1/4)* (x4) Applying formula for average value: [1/(b-a)]*[(1/4)*(x4)]a to b Evaluating this result where a = 0 ...
CNT: Rough value of known constant found 建议使用预定义的库常量以提高代码的清晰度和精度。 Bad practice CO_ABSTRACT_SELF Co: Abstract class defines covariant compareTo() method 抽象类中定义了多个compareTo()方法,正确的是覆写Comparable中的compareTo方法,方法的参数为Object类型,如下例: ...
The average value of current i=I(m) sin omega t from t=(pi)/(2 omega )... 03:31 Current in an ac circuit is given by i=2 sqrt(2) sin [(pi t+((pi)//4)]... 02:50 Find the rms value of current from t=0 to t=(2pi)/(omega) if the curre... 01:55 Find the rms...
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