Use the given graph of f(x)=√x to find a number & such that if |x - 41 < & then √x - 2 <0.4. 8 = 2.4 2 1.6 ? y = √x ?
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- Find the point(s) of discontinuity of the piece-wise function f given by f(x) = |x| +3 if x<-3; -2x if -3Identify the number of zeroes and the max number of extrema for the following function. g(x)= 3x² +9– 4x5 – 6x* A. Zeroes: 4 Extrema: 4 C. Zeroes: 4 Extrema: 3 D. Zeroes: 5 Extrema: 4 B. Zeroes: 5 Extrema: 5Solve s(4- 3x2Please help me graph thisDetermine if the specified linear transformation is (a) one-to-one and (b) onto. Justify your answer. T: R³-R², T(e₁) = (1,3), T(e₂) = (2, -11), and T(e3)= (-3,8), where e₁,e₂, e3 are the columns of the 3x3 identity matrix. a. Is the linear transformation one-to-one? A. T is not one-to-one because the standard matrix A has a free variable. B. T is one-to-one because the column vectors are not scalar multiples of each other. O C. T is not one-to-one because the columns of the standard matrix A are linearly independent. O D. T is one-to-one because T(x) = 0 has only the trivial solution. b. Is the linear transformation onto? O A. T is not onto because the standard matrix A contains a row of zeros. O B. T is onto because the standard matrix A does not have a pivot position for every row. O C. T is not onto because the columns of the standard matrix A span R². O D. T is onto because the columns of the standard matrix A span R².An open topped box is to be made by cutting out identical squares from the corners of a rectangular piece of cardboard then folding up the resulting flaps. Thus, if the side of each removed square has length x then the box height will also be x. If the cardboard has dimensions 70cm by 50cm find an expression for the volume of the box V (x) in terms of x. What is the domain of this function? What sort of function is it (quadratic, cubic, rational or. . .)?A local garden store plans to build a large rectangular sign on the interior wall at one end of their greenhouse. The roof along this wall is centered around a vertical support beam. The height of the roof, r (measured in meters), can be expressed as a function the horizontal distance from the vertical support beam, x (measured in meters), by r(x) = 5 -* - 4Graph the piecewise-defined function. S3x = {_3x if x 2 0 ifx < 0 f(x) =This question has 2 parts onlyRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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