Solve.How long a bolt is needed to go through tubing
in. long, a washer
in. thick, and a nut
in. thick? Reduce the answer to lowest terms.
Fill in the blank(s) with the appropriate word(s).
(7/8) in.
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Name the conic (horizontal ellipse, vertical hyperbola, and so on) corresponding to the given equation. +
= 0
A. Horizontal hyperbola B. Vertical hyperbola C. Vertical parabola D. Horizontal parabola
Evaluate the line integral along the curve C.ds , C is the path from (1, 1, 0) to (e4, e4, 1) given by:C1: r(t) = e4ti + e4tj, 0 ? t ? 1C2: r(t) = e4i + e4j + 10tk, 0 ? t ? 1
A. (e12 - 1) + e8 +
e4
B. (e12 - 1) + 10e8 + 50e4
C. (e12 - 1) + 10e8 + 100e4
D. (e12 - 1)
Solve the following system of equations by substitution. If both variables cancel out, state the solution as no solution or infinitely many solutions.x + 9y = 12-6x + 8y = 52
A. (-7, 3) B. no solution C. (-6, 2) D. (6, 3)
Find the distance between the pair of points. Give an exact answer, and where appropriate, an approximation to three decimal places.(2, 3) and (3, 10)
A. , 10.000
B. , 3.464
C. , 4.000
D. , 7.071