Tema
Q:
Given a scalar \( k \) and a vector \( \mathbf{v} \) as follows:
\[ k=-2 \]
\[ \mathbf{v}=\left(\begin{array}{c}4 \\ 0 \\ -3\end{array}\right) \]
Calculate the product of the scalar \( k \) and the vector \( \mathbf{v} \).
Q:
\( \int e ^ { x ^ { 2 } } = \)
Q:
Find \( \int\left(\frac{4}{x^{2}}+7 x+5\right) d x \)
\( \square+C \)
Q:
a. \( \frac{\left(2 x^{2} y\right)^{3}}{4 x^{0} y^{2}} \)
Q:
is it at 1530 hours?
Jack drives north at \( 80 \mathrm{~km} / \mathrm{h} \) for 2 hours. He then turns and drives east at the same speed
for 3 hours.
(a) To the nearest degree, what is Jack's true bearing from his original position?
(b) If Jack could drive from his current position straight back to his starting position:
(i) how far would he travel, to the nearest kilometre
(ii) what true bearing should he follow?
Q:
2.3 Differentiate \( \frac{5}{2} \operatorname{cosec}^{-1}\left(\frac{\theta}{2}\right) \) with respect to \( \theta \)
Q:
\( \int e ^ { x ^ { z 2 } } = \)
Q:
Jenelle bought a home for \( \$ 180,000 \), paying \( 22 \% \) as a down payment, and financing the rest at \( 5.8 \% \) intere
for 30 years. Round your answers to the nearest cent.
How much money did Jenelle pay as a down payment? \$ 39,600
What was the original amount financed? \( \$ 140,400 \)
What is her monthly payment? \$
If Jenelle makes these payments every month for thirty years, determine the total amount of money
she will spend on this home. Include the down payment in your answer. \$
Q:
Find \( \int\left(3 x^{7}+5 x^{5}\right) d x \)
\( \square+C \)
Q:
Find \( \int\left(3 x^{7}+5 x^{5}\right) d x \)
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