a) Suppose that ε is some fixed positive number. Use absolute value to rewrite the statement - There is some rational number x within ε of √2 b) What is the negation of the statement above?
For which of Si, P, or S is the absolute value of the Electron Affinity least? 1pts Submit Answer Tries 0/2 Which of the ions lit HK+ Ert er Frt, or Rb+ is the smallest? 1pts Submit Answer Tries 0/3 For the elements: X = Si, C, H, or F, which has the the largest average X-C bond energy? (Single bonds only.) 1pts Submit Answer Tries 0/3
Rewrite the number 3.123 56 (±0.167 89%) in the forms (a) number (± absolute uncertainty) and (b) number (± percent relative uncertainty) with an appropriate number of digits.
Use the Chain Rule and the fact that d (r)-L,o find the derivative of (b) Rewrite f(x) as a piecewise function not involving the absolute value function. (c) Find the first and second derivatives of f(x),using your piecewise function. (d) Would you want to find" without the function's piecewise representation? 2. A square and a triangle are to be cut from a piece of fabric 1 metre square, as shown Find the length which minimises the removed area ar
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Suppose f has absolute minimum value m and absolute maximum value M. Between wh 4m (smaller value) 4M (larger value) Which property of integrals allows you to make your conclusion? If f(x) > 0 for a < x <b, then f(x) dx > 0. • [ºrx) dx = -1°rx) dx o [*rex) dx + 1°rex) dx = [° rcx) dx fb If m s f(x) S M for a sxs b, then mb - a) si f(x) dx = M(b...
Without calculation, order the variants shown below according to the magnitude (absolute value, irrespective of sign) of the nodal displacement v (3) EI EI EI 2EI 4.0 m 4.0 m 0 X.u EI 2EI EI EI 4.0 m 4.0 m Figure Q1 Order from most displacement to least. O C, A, B, D O A, B, C, D O D, B, C,A O D,A, C, B
Integrate each function without using the table. a) ſcosx In(sinx) dx b) si V x² -16 •doc +2
Rewrite each equation as requested. (a) Rewrite as a logarithmic equation. (b) Rewrite as an exponential equation. Inx=6 (b)
Absolute Error & Relative Error Absolute error: approximate value true value absolute error true value Relative error o Equivalently, approx value (true value) × (1 + rel error) o True value usually unknown, so we estimate or bound error rather than compute it exactly
Rewrite the following loops without using the enhanced for loop construct. Here, values is an array of floating-point numbers. a. for (double x : values) { total = total + x; } b. for (double x : values) { if (x == target) { return true; } } c. int i = 0; for (double x : values) { values[i] = 2 * x; i++; }