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In Problems 11–16 verify that the
11.
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Chapter 8 Solutions
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
- Find the equation of the tangent line to the graph of the given function at the given value of x. 6 f(x) = x(x² - 4x+5)*; x=2arrow_forward7. Suppose that X is a set, that I is a nonempty set, and that for each i Є I that Yi is a set. Suppose that I is a nonempty set. Prove the following:2 (a) If Y; CX for all i EI, then Uiel Yi C X. ¹See Table 4.8.1 in zyBooks. Recall: Nie X₁ = Vi Є I (x = X₁) and x = Uier X₁ = i Є I (x Є Xi). (b) If XCY; for all i Є I, then X Ciel Yi. (c) U(x)=xnUY. iЄI ΕΙarrow_forwardFind the equation of the tangent line to the graph of the given function at the given value of x. f(x)=√√x+33; x=4arrow_forward
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