¿Cuál es el volumen de un helado en un barquillo cónico, si se sabe que el barquillo tiene 10 cm de altura, 6 cm de diámetro y está lleno de helado hasta el tope, donde además sobresale helado formando una semi-esfera del mismo radio que el barquillo? A) \( 48 \pi \mathrm{~cm}^{3} \) B) \( 121 \pi \mathrm{~cm}^{3} \) C) \( 126 \pi \mathrm{~cm}^{3} \) D) \( 144 \pi \mathrm{~cm}^{3} \)

Question What is the equation of the line that passes through the point \( (-6,-7) \) and has a slope of \( \frac{1}{3} \) ?

6. The acceleration of an object moving in a strange way has been modelled as \( a=e^{x} x \). a) Use integration by parts to find an equation to model the velocity \( v \) if \( v=\int e^{x} x d x \). b) Is the problem any different if you find \( v=\int x e^{x} d x \) ?

(1 point) The current, \( i \), in amperes (A), passing though a wire is given by the equation \( i=8 \sin (0.7 t+25) \), where \( t \) is the time, in seconds. The current is approximately 5 A , after 20 s .

If \( a=-2, b=-4 \) and \( c=b \), find the value of the expression

A bird is flying at \( 25.5 \mathrm{~m} / \mathrm{s} \) in the \( y \)-direction. The wind is blowing at \( 3.95 \mathrm{~m} / \mathrm{s} \) in the \( x \)-direction. What is the magnitude of the velocity of the bird?