A varsity soccer player kicks a soccer ball approximately straight upward with an initial velocity of 60 ft/sec. The ball leaves the player’s foot at a height of 2 ft.
a. Use the formula
b. Determine the times at which the ball is 52 ft in the air.
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COLLEGE ALGEBRA - ALEKS 360
- Let V, W, and Y be vector spaces. Suppose dim(V) dim(W) = dim(Y) = 2. = Let ("beta") be an ordered basis for V. Let ("gamma") be an ordered basis for W. Let ("zeta") be an ordered basis for Y. Suppose S is a linear transformation from V to W and that T is a linear trans- formation from W to Y. Remember that ToS is the function from V to Y defined by (TOS)(v) = T(S(v)). (a) Prove that To S is a linear transformation. (b) Prove that ° [T • S] = [T]{[S]}.arrow_forwardLet W={(0, a, 0) | a Є R}. (a) List four elements from W. (b) Determine whether W is a subspace of R³, and prove that your answer is correct.arrow_forwardFor this problem, refer to the network as shown in Figure 1, answer the following questions. B A C FIGURE 1. For Problem (7). Let x₁ be the number of users at website A. Let x2 be the number of users at website B. Let x3 be the number of users at website C. Assume that there are a total of 900 users at these three websites. This gives us the following system of linear equations: x1 = x2 + 1x3 x2 = x1 + x3 x3 = x2 = 900 x1 + x2 + x3 = (a) Put this system into a standard form (with all variables on the left side and with the constants on the right), and convert that system into an augmented matrix, and then... (b) Use elementary row operations to put the augmented matrix into reduced row echelon form, and then... (c) Write down the solution space for this system of equations, and then... (d) Identify which website(s) would be ranked most highly by PageRank.arrow_forward
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