الموضوع Prove that The BProjection Map TB TXXXB is countinuos and Pen Map but not need closed. X has the Weak topbgy induced by a collaction fx, xEA} of functions fx:x→ Xx then fiy→x is countions iff fx is continuos for each ke A. val is a
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- Find fx and fy from the equation* f (x, y) = In (Vz?y? ! ,景 3 2y f.- 2y O Option 1 Option 4 3 3r fy= 2y 21 Option 2 OOption 3Find f, (x.y.z), f, (x.y,z), f-(x,y.z), and f (x.y.z) for the following. f(x.y.z) - 5x +3xy- 5z fx (X.y.z) = fy(x.y.z) = f_(x.y.z) = fyx (X.y.z) =Evaluate |/I. ze*+ydV where B is the box determined by B 0ment/d/10Ed2ZH5adcTxuYXsoMjN_7UMjA0006M10knx643VEEs/edit sponse ols Extensions Help t Y Times New... ▼ O t C 0 1 13. Last edit was 4 hours ago 12 - + B I U A 1 67 4. The table shows the number C of cars in an office parking lot over the course of a work day. The time t is measured in hours, with t= 0 representing 7:00am. 2 2 92 3 108 4 3 82 5 GD 52 6 4 15 7 EEE 13 - 75 8 5 100 9 10 6 110 86 11 = 12 34 c) Use a graphing calculator to write a sinusoidal model that gives C as a function of t. 12 12 a) You want to write a sinusoidal model for the data in the table without using a graphing calculator. Is it more convenient to model the data with a sine or cosine function? Explain. b) Write a sinusoidal model for the number C of cars as a function of the time t (in hours) without using a graphing calculator. Identify and explain how you calculated your values for the amplitude, period, horizontal shift, and vertical shift. d) Using your model from part (c), at about what time(s) will there…Integrate the expression 1017x² +840xy + 1492y² over the region bordered by the curve 1017x² +840xy + 1492y² = 225Let i, j, ke Za and w, x, y e Z, with i, j, k all different from each other and w, x, y all different from each other. When a function f: Za → Zz is chosen at random, what is Pr[f(k) = y | %3D f(i) = w and f(j) = x]? %3D Express your answer numerically using plain text without spaces. Use / and ^ and ! to represent division, exponentiation and factorial. Use parenthesis around a term only if it is necessary. Examples: 1/(x-1), (x-3)/10, x!, (x-1)!, x^2, 2^(x-1), etc.Please help. I am having trouble understanding what to do for these questions. Please show your work Thank youWhich values of c satisfy the conclusion of the MVT on the interval [-4, 6] if ƒ is a linear function? (Give your answer as an interval in the form (*, *). Use the symbol o for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)