PROBLEMS
For Problems 1-14, determine whether the given set
The set
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- Let A - [23] Write b as a linear combinations of the columns of A -1 [3] 7 Hamm and b b=a₁+ a2arrow_forwardProblem #8: Let V be the set of all ordered pairs of real numbers (u₁, u₂) with u₂ > 0. Consider the following addition and scalar multiplication operations on u = (u₁, u₂) and v = (V₁, V₂): u + v = (u₁ + v₁ -3,4u2v2), ku = (ku₁, ku2) Use the above operations for the following parts. Problem #8(a): Problem #8(b): Problem #8(c): (a) Compute u + v for u = (2,5) and v = = (6,5). (b) If the set V satisfies Axiom 4 of a vector space (the existence of a zero vector), what would be the zero vector? (c) If u = (-4, 6), what would be the negative of the vector u referred to in Axiom 5 of a vector space? (Don't forget to use your answer to part (b) here!) enter your answer in the form a,b Enter your answer symbolically, as in these examples Enter your answer symbolically, as in these examples enter your answer in the form a,b enter your answer in the form a,barrow_forwardThe data provided here represent the number o radio & TV ads (in 1000) used and the sales in thousand dollars for a concert. (a) Create a scatterplot of these data using sales for vertical axis. Move and resize it so that it appears between columns D and H below this question.arrow_forward
- Arrange these steps in the correct order to prove that if you have an 8-gallon jug of water and two empty jugs with capacities of 5 gallons and 3 gallons, respectively, then you can measure 4 gallons by successively pouring some of or all of the water in a jug into another jug in the correct order. Rank the options below. Fill the 3-gallon jug from the 5-gallon jug, leaving (3, 2, 3). Empty the 5-gallon jug's contents into the 3-gallon jug, leaving (6, 0, 2), and then fill the 5-gallon jug from the 8-gallon jug, producing (1, 5, 2). Fill the 5-gallon jug from the 8-gallon jug, leaving the contents (3, 5, 0), where the ordered triple is used to record the amount of water in the 8-gallon jug, the 5-gallon jug, and the 3-gallon jug, respectively. Top off the 3-gallon jug from the 5-gallon jug, and there will be (1, 4, 3), with four gallons in the 5-gallon jug. Pour the contents of the 3-gallon jug back into the 8-gallon jug, leaving (6, 2, 0). ❤ ← ←arrow_forwardFind all real solutions of 2x35x2+15x+18=0.arrow_forward
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