Answer:
A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.
Step-by-step explanation:
x = 3 + t
y = t² − 4
Eliminating the parameter:
t = x − 3
y = (x − 3)² − 4
This is an upwards parabola with a vertex at (3, -4).
x = 3 + t, so as t increases, x increases.
So the curve is traced from left to right.
The length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes
<h3>What is local time?</h3>
Local time refers to the time of a particular region. The term local refers that whoever is noticing the time and calling it local time means that the person is telling about the time of the place where they're currently staying.
For this case, we're provided that:
When its 8:00 a.m. Damascus it its 4:00 pm in Vladivostok, so the time in Vladivostok is 8 hours ahead of Damascus (or 16 hours behind).
Assuming its 8 hours ahead, as the plane departs from 10:45 am from Vladivostok, and lands in Damascus at 12:30 pm, so 12:30 pm + 8 hours gives 8:30 pm in Vladivostok.
So, the plane departed at 10:45 am of Vladivostok and lands at 8:30 pm in Vladivostok, so it took 9 hours and 45 minutes for his flight to go from Vladivostok to Damascus. (since difference between 8:30 pm and 10:30 am (from 10:30 am to 8:30 pm) is of 9 hours 45 minutes)
Thus, the length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes
Learn more about timezones here:
brainly.com/question/4054255
A definite integral is an integralwith upper and lower limits. If is restricted to lie on the real line, the definite integral is known as a Riemann integral (which is the usual definition encountered in elementary textbooks). However, a general definite integral is taken in the complex plane, resulting in the contour integral
with , , and in general being complex numbers and the path of integration from to known as a contour.
The first fundamental theorem of calculus allows definite integrals to be computed in terms of indefinite integrals, since if is the indefinite integral for a continuous function , then
This result, while taught early in elementary calculus courses, is actually a very deep result connecting the purely algebraic indefinite integral and the purely analytic (or geometric) definite integral. Definite integrals may be evaluated in the Wolfram Language using Integrate[f, x, a, b].
The question of which definite integrals can be expressed in terms of elementary functions is not susceptible to any established theory. In fact, the problem belongs to transcendence theory, which appears to be "infinitely hard." For example, there are definite integrals that are equal to the Euler-Mascheroni constant . However, the problem of deciding whether can be expressed in terms of the values at rational values of elementary functions involves the decision as to whether is rational or algebraic, which is not known.
Answer:
-2/4
Step-by-step explanation:
I got two points from the graph and used the slope intercept formula or whatever the name is so yeah
Answer:
26 cm
Step-by-step explanation:
The area of a trapezium is
A = 1/2 (b1+b2)*h where b1 and b2 are the lengths of the bases
910 = 1/2 ( 21+49) h
910 = 1/2 (70)h
910 = 35h
Divide by 35
910/35 = 35h/35
26 = h