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EBK CALCULUS EARLY TRANSCENDENTALS
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Precalculus
- The current, i, through an inductive motor at the joint of a robot is given by 1 i = ܘ ܟ v dx Where, Inductance (L) = 10mH, v is the voltage given by: v = -6e-(²×10³)x + 10 e-(8×10³)x Determine i.arrow_forwardb) Find L{e™t f(t – e)H (t – e)}arrow_forwardCompute the Jacobian for the substitutions x = ρsinφcosϴ, y = ρsinφsinϴ, z = ρcosϴ.arrow_forward
- H(t) = A sin(Bt) + C models the height (in meters) of the tide in Happy Harbor at time t (hours since midnight) in a day. Determine A, B, and C if the high tide of 18 m occurs at 6:00 AM and the subsequent low tide of 15 m occurs at 6:00 PM.arrow_forwardLet f" (t) = vt – 2 cos t. Determine a general f(t).arrow_forwardLet r(t) = cos(ωt)a+sin(ωt)b with a,b,ω (vectors and scalar) constant. Prove that:arrow_forward
- Suppose you are given a vector-valued function modelling the velocity of a particle in space. At time t, the velocity is i(t) = (sin(t) cos(?), t v/P + 1,c"). Given that the initial position of the particle is ê(0) = (1,2, 3), find the position at time t.arrow_forwardSuppose that a duck is swimming in a straight line x = 3 + 8t, y = 3 – 2t, while the water tem- perature is given by the formula T = x²cos y - v?sin x. Find dT/dt in two ways: (a) by the chain rule and (b) by expressing T in terms of t and differentiating.arrow_forwardLet f(t) = Arcsin(t) and g(x, y) = √1-x² - y². Find h(x, y) if h = fog. Also, find the domain and range of h.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage