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Calculate the following:
Note: . = dot product and x cross product : -> = vector
(vector) A -> = 3xcarrot - 5y carrot + z carrot
(vector) B -> = 6xcarrot + 5y carrot + z carrot
(vector) C -> = 4
I. Find (B-> . A->)
II. Find B-> x (B-> X A->)
III. Find c ( A-> XB-> )
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The figure below shows snapshots of the wave on the string at three instants in time (t1,t2,t3) as the wave travels to the right. The dot painted on the string is indicated at point 1 ti t2 ts t2 t3 Three students argue about which picture is correct. Which do you most closely agree with? Student A: "The bottom picture is correct, because the wave is traveling to the right. Since the wave and the...
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3. The circumference of a sphere was measured to be 84 cm with a possible error of .5 cm. Use differentials to estimate the maximum error in the calculated volume. Then find the relative error (C = 27r; V= #r3, relative error "Y). You may leave the maximum error in terms of 3 TT.
heat transfer question, show equations, assumptions,
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Which of the following plots illustrates the change in pipe surface temperature as a function of pipe length x for a pipe subjected to a uniform positive heat flux? A)TS B)TS X X C) T1 D)T, 1 х х E) Tsh F) T. Х Х
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Solve the following recurrences using the master method, or the substitution method. (a) T(n) = T(n/2) + O(n), with T(1) = 1 (b) T(n) = 3T(n/2) + 0(1), with T(1) = 1 (c) T(n) = T(4n/5) + O(1), with T(1) = 1.
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Question 7. Prove using the Division Lemma that Yn E Z, n3 n is divisible by 3 (any proof not using the Division Lemma will receive no credit). Question 8. Define a relation ~ on R \ {0} by saying x ~ y İfzy > 0. (a) Prove that is an equivalence relation (b) Determine all distinct equivalence classes of~ prove that your answer is correct.
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Calculate the gradient of f(x, y) = sin(x2 – 4y) Vf = Calculate the gradient of h(x, y, z) = x-3y-22-2 Vh= Calculate the directional derivative of S(x,y) = xy in the direction of y = -1 + 2) at the point P = (1,2). Remember to normalize the direction vector. D.$(1.2) = 11 point Calculate the directional derivative of f(x,y) = cos (xy) in the...
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[2] The energy expressions for the electrons in the He+ ion and the hydrogen atom are I E,(H)=-a/n?, E,(He+) = -4a/m2 Which of the following statements are correct? 1. For transitions ni + n2, the frequency is larger for H than for Het II. The first ionization energy of the H atom is smaller than the second ionization energy of the He atom. III. The ls orbital in Het...
Need help with algorithm homework, please answer with complete steps. Will give thumbs up to correct and complete answer, thanks! Given a hash function h(x) = x mod 10 with inputs: 4491, 1443, 6293, 4319, 4464, 9799, 2109. Do the following: (a) Hash table with quadratic probing (b) Given new hash function h(x) = x mod 19, rehash part a, with order following the old hash table order, not original order at the beginning
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s. You own a $1,00-par zero-coupon bond that has 5 years of remaining maturity. You plan on selling the bond in one year and believe that the required yield next year will have the following probability distribution: Required Yield B Bond Price Probability...
PART TWO. Open Response. SHOW YOUR WORK. Draw boxes an One vector is given by -8i + 5 -2ik. Another vector i ban s heype around your answers. and is directed 37° counterclockwise from the positive x-axais (a) (1 point) Find the dot product T., using the componen (b) (1 point) Use the definition of the dot product to has a magnitude of 22 units find the angle φ between u and ซี. ขึ u x w (c) (1 point)...