Consider two continuous functions f(x) and g(x) along with two real numbers a and b where a < b. If f(x) < g(x) for all values of x in the interval [a, b), does this imply that [ r4) dz < [ g(=) dz If so, give your reasoning. If not, give a counter example. Drawing a picture may help.

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A: Solve by finding minima and maxima

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A:

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Q: 2, if x -1 Find the value for a and b such that f (x) = {ax + b, if – 1 3 for all real numbers.

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous at x=-1 so we…

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A:

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Q: a continuous function f such that f(4) = 4, f'(4) = 0, ƒ'"(x) 4 is:

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A:

Q: Consider two continuous functions f(x) and g(x) along with two real numbers a and b where a < b. If…

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A: Yes true.

Q: be* + a + 1, x 1

A: Given piecewise functions is fx=bex+a+1, x≤0ax2+bx+3, 0&lt;x≤1acosπx+7bx, x&gt;1

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A:

Q: Find a value of k making h(x) continuous on [0, 5]. kx , 0 < x < 1 h(x) = x +3, 1<x < 5

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Q: Isg continuous on (0,1]? * if x 4.

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Q: Find the values of a and b that make f(x) continuous for all real numbers. (x+ 2, f(x) = { ax³, (x²…

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A: (I) For x=-1: LHL=limx→-1-f(x)        =limx→-1-1        =1 RHL=limx→-1+f(x)        =limx→-1+(-x)…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.