Foram encontradas 40 questões.
Em \( P_3(\mathbb{R}) \), considere o produto interno \( \langle f(t), g(t) \rangle = \int_{0}^{1} f(t)g(t) dt \). Determine \( a \in \mathbb{R} \) para que \( f(t) = at^2 + 1 \) e \( g(t) = t - 2 \) sejam ortogonais.
Provas
Dados três vetores \( \vec{u}, \vec{v} \text{ e } \vec{w} \) do \( \mathbb{R}^3 \), o produto misto \( \vec{u} \cdot (\vec{v} \times \vec{w}) = [\vec{u}, \vec{v}, \vec{w}] \) é:
Provas
A área limitada pela curva dada em coordenadas polares \( r = 2 + 2 \cos \theta \) é:
Provas
Sabendo que \( \int_{0}^{\pi} (f(x) + \text{sen } 2x) dx = 2 \). Assinale a alternativa que indica o valor de:
\( \int_{0}^{\pi} \left( f(x) + 9 \left( \dfrac{x}{\pi} \right)^2 \right) dx \)
Provas
O valor da integral tripla \( \int_{-3}^{3} \int_{-\sqrt{9-y^2}}^{\sqrt{9-y^2}} \int_{-\sqrt{9-x^2-y^2}}^{\sqrt{9-x^2-y^2}} (x^2z+y^2z+z^5) dzdxdy \) é:
Provas
Seja \( D = \{ (x,y) \in \mathbb{R}^2; -2 \le x \le 4, -1 \le y \le 3 \} \).
Determine os valores máximo e mínimo absolutos, respectivamente, da função \( f(x,y) = x^2 + 2xy + 3y^2 \) em \( D \).
Provas
Um balão está a 60m acima do solo e subindo verticalmente à razã{o} de 5m/s. Um caminhão passa por baixo a uma velocidade de 12m/s. Um segundo depois, com que taxa varia a distância entre o balão e o caminhão?
Provas
Considere a sequência abaixo, em que os primeiros termos são:
\( A_n = (0, 2, 6, 12, 20, 30, 42, \dots) \)
Tal sequência é divergente.
Qual é o octingentésimo termo da sequência?
Provas
Read the excerpts below and choose the correct answer in question.
Digitalization is gaining fast ground
The transition towards digitalization and automation is speeding up in the maritime industry. Digital technologies and solutions are being used to increase competitiveness and enhance operational efficiency. They are also being implemented to spur the industry along the decarbonization path to realize zero emissions from international shipping by mid-century.
Data streams from sensors and other sources of information can be used for decision making and enhanced monitoring, control, quality assurance and verification.
To secure efficient, sustainable operations and strengthen short-and-long-term competitiveness, maritime stakeholders need to re-think their current strategies and adapt.
It is possible to infer from the excerpt that
Provas
Read the excerpts below and choose the correct answer in question.
Digitalization is gaining fast ground
The transition towards digitalization and automation is speeding up in the maritime industry. Digital technologies and solutions are being used to increase competitiveness and enhance operational efficiency. They are also being implemented to spur the industry along the decarbonization path to realize zero emissions from international shipping by mid-century.
Data streams from sensors and other sources of information can be used for decision making and enhanced monitoring, control, quality assurance and verification.
To secure efficient, sustainable operations and strengthen short-and-long-term competitiveness, maritime stakeholders need to re-think their current strategies and adapt.
Mastering transportation cybersecurity: The comprehensive guide
Global transportation networks are becoming increasingly interconnected, with digital systems playing a crucial role in ensuring the smooth operation of ports and supply chains. However, this reliance on technology can also create vulnerabilities, as demonstrated by the recent ransomware attack on Nagoya Port. As Japan's busiest shipping hub, the port's operations were brought to a standstill for two days, highlighting the potential for significant disruption to national economies and supply chains.
Mark the option that is NOT true about the passage.
Digital networks play a crucial role in ensuring efficient operation of ports and logistics. These systems .
Provas
Caderno Container