Answer:
derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )
Step-by-step explanation:
given data:
vector function : r(t) = ta*(b+tc)
a = ( 2,-3.4) . b = (-4,5,-1). c = ( -2,-1,5)
to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution
<span>y=+- square root 5 over 3
y^2 + x^2 = 1 => x^2 = 1 - y^2 = 1 - 5/9 = 4/9 => x = +/- 2/3
Answer: x = +/- 2/3
y=+- square root 7 over 3
y^2 + x^2 = 1 => x^2 = 1 - y^2 = 1 - 7/9 = 2/9 => x = +/- (√2) / 3
Answer: x = +/-(√2)/3
y=+- 3 over 3
x^2 = 1 - y^2 = 1 - 3/9 = 1 - 1/3 = 2/3 => x = +/-(√2/3)
Answer: x = +/-√(2/3)
y=+- 2 square root 2 over 2
= y = +/- 2(√2) /2 = √2 ...... these y-coordinates are out of the unit circle, then there is not a corresponding x - coordinate for them.
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Answer:
(a) 0.0833 or 8.33%
(b) 0.40 or 40%
Step-by-step explanation:
Parts line one (n1) = 1,000 parts
Defects line one (d1) = 100 parts
Parts line two (n2) = 2,000 parts
Defects line two (d2) = 150 parts
Total number of parts (n) = 3,000 parts
a. Probability of a randomly selected part being defective:

The probability is 0.0833 or 8.33%
b. Probability of a part being produced by line one, given that it is defective:

The probability is 0.40 or 40%.
Answer:
Costo final= $412.38
Step-by-step explanation:
Dada la siguiente información:
Costo inicial= $355.5
Recargo de la tarjeta= 16% = 0.16
<u>Para calcular el costo final que debe pagar Silvia, debemos usar la siguiente información:</u>
Costo final= costo inicial*(1 + recargo)
Costo final= 355.5*1.16
Costo final= $412.38