5 . (b) Applying the product rule, we have ((1 + 4x)e−4x)′ = (1 + 4x)′e−4x + (1 + 4x)(e−4x)′ = 4e−4x + (1 + 4x)e−4x(−4x)′ = 4e−4x + (1 + 4x)e−4x(−4) = 4e−4x − 4e−4x − 16xe−4x = −16xe−4x. (c) [(sec(x) + tan(x))3]′ = 3(sec(x) + tan(x))(sec(x) + tan(x))′ = 3(sec(x) + tan(x))(sec(x) tan(x) + sec(x)) = 3(sec(x) + tan(x)) · sec(x) · (sec(x) + sec(x)) = 3 sec(x)(sec(x) + tan(x)). (d)(x cos(x)− 6x sin(...

We analyzed a BHK cell line persistently infected with Sindbis virus for 16 months and a virus (Sin-16) cloned from these cells. Sin-16 virus was resistant to the defective interfering particles present in the original infection. We found that (i) cells infected with Sin-16 were impaired in the processing of a viral precursor glycoprotein, (ii) high-multiplicity passaging of Sin-16 gave rise to...

This article results from a process of self-assessment within Ingenieros Sin Fronteras Colombia (ISFC). The activities usually referred to as humanitarian engineering, assistive engineering, engineering for aid, and/or engineering for development are increasingly involving educational frameworks, activities, and institutions in service-learning schemes. In this article, we discuss the issues an...

The mode of action of the active metabolite SIN-I of the vasodilator prodrug molsidomine was studied in vitro and in vivo in corpus cavernosum of rabbit and man. SIN-I produces a dose-dependent relaxation of isolated human cavernous smooth muscle strips. In the rabbit, the intracavernous application of SIN-I increased the intracavernous pressure to a full erection (approximately 100 cm H2O). Th...

One can prove the following propositions: (1) For all real numbers a, b holds −(a + bi) = −a + (−b)i. (2) For all real numbers a, b such that b > 0 there exists a real number r such that r = b · −⌊ b ⌋ + a and 0 ¬ r and r < b. (3) Let a, b, c be real numbers. Suppose a > 0 and b ­ 0 and c ­ 0 and b < a and c < a. Let i be an integer. If b = c + a · i, then b = c. (4) For all real numbers a, b h...

1 Trigonometric Functions We recall the following identities for trigonometric functions. Theorem 1.1. For all x ∈ R, cos(−x) = cos(x) and sin(−x) = − sin(x). Theorem 1.2. For all α, β ∈ R, cos(α + β) = cos(α) cos(β)− sin(α) sin(β). Theorem 1.3. For all α, β ∈ R, sin(α+ β) = sin(α) cos(β) + cos(α) sin(β). Proof. For small positive angles (so α+ β is less than a right angle), the identities from...

Sinomenine (SIN) is a bioactive component derived from a Chinese medicinal plant. Our previous studies demonstrated that SIN has cytotoxic effects on human lung cancer cells. However, the antitumor molecular mechanisms of SIN have yet to be elucidated in detail. In the present study, we further explored the effects of SIN on NCI-H460 human lung cancer cell viability and apoptosis and investigat...

BACKGROUND To elucidate the mechanism by which local delivery of 3-morpholino-sydnonimine (SIN-1) affects intimal hyperplasia after percutaneous transluminal coronary angioplasty (PTCA). METHODS Porcine coronary arteries were treated with PTCA and immediately afterwards locally treated for 5 minutes, with a selective cytosolic guanylate cyclase inhibitor, 1 H-(1,2,4)oxadiazole(4,3-alpha)quino...