Given a piecewise function f(t) = 54₁ 0≤t≤2 2 +22 of (1) Express f(t) in the form of Unit step funtion (11) Hense Find £ {f(t)} And Wollof ent To Muotswart an ber costomiz
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- The relative maxima of the funciton f are f(1)=4 and f(3)-10. Therefore, f has at least one mininum for some x in the interval (1, 3). Why is this statement false?Show that f(x) has a jump discontinuity at x = 7 by calculating the limits from the left and right at x = 7.if i have the function how would i determine the set A of all critical numbers of g
- Suppose the utility function (2.38) is replaced by a. Derive the first order conditions for the household’s optimal money holdings. b. Show how (2.43) and (2.44) are altered with this specification of the utility function.Which of the following is the absolute minimum value of the fuk took f(x)=(x-3)^3 on interval [1,4]?Suppose that c = 1 is a critical number for a function f. Determine if f(c) is a local maximum, local minimum or neither if f′(x)=−x3+6x2−11x+6
- Prove that f(x) =presents a jump discontinuity at x=0It has been found that a worker new to an operation of a certain task on the assembly will produce P(t) items on day t, where P(t) = 20-20e-0.2t How many items will be produced the first day, and what is the maximum number of items, according to the function, the worker can produce?If i have the function in the picture how would i find the set A of critical numbers of F.
- Express the solution of the given IVP in terms of a convolution where g(t) is an arbitrary function.Prove that L5[0, 1] ⊂ L3[0, 1]. Hint: H ̈older’s inequalityDetermine whether each of the following statements is true or false, and explain why in a few sentences 1. A critical number c is a number in the domain of a function f for which f ′ ( c ) = 0 or f ′ ( c ) does not exist. 2. If f ′ ( c ) > 0 on an interval, the function is positive on that interval. 3. If c is a critical number, then the function must have a relative maximum or minimum at c 4. If f ′ ( c ) exists, then f ″ ( c ) also exists 5. If f ″ ( c ) > 0 on an interval, the function is increasing on that interval.