What were the motives behind European exploration in the 1400s? Explain

What were some of the effects of the CounterReformation on European society?

Draw a cone with a height of 9 inches and a diameter of 4 inches. Find the volume.

Find the second Taylor polynomial of $x(x+1)^{3 / 2}$ at x=0.

Which illustrates the Symmetric Property of Equality? A. If a = b, then b = a. B. If a = b, and b = c, then a = c. C. If a = b, then b = c. D. If a = a, then a + 0 = a.

A flask contains $\frac { 1 } { 3 }$ mole of $\mathrm { H } _ { 2 }$ and $\frac { 2 } { 3 }$ mole of He. Compare the force on the wall per impact of $\mathrm { H } _ { 2 }$ relative to that for He.

Five hundred gallons of 89-octane gasoline is obtained by mixing 87-octane gasoline with 92-octane gasoline. How much of each type of gasoline is required to obtain the 500 gallons of 89-octane gasoline?

Suppose that a merchant buys a patio set from the wholesaler for $180. At what price should the merchant mark the patio set so that it may be offered at a discount of 25% but still give the merchant a 40% profit on his$180 investment.

If a supersonic jet flies at Mach 3.2, what will be the cone angle (to the nearest degree)?

Delia wants to enclose a rectangular plot of land that adjoins a straight brick wall. If she has only 200 yards of fence, what should the dimensions of the rectangular plot be so that the area enclosed is a maximum?

If q is a quadratic form on $\mathbb{R}^{n}$ with symmetric matrix A and if $L(\vec{x})=R \vec{x}$ is a linear transformation from $\mathbb{R}^{m}$ to $\mathbb{R}^{n},$ show that the composite function $p(\vec{x})=q(L(\vec{x}))$ is a quadratic form on $\mathbb{R}^{m}.$ Express the symmetric matrix of p in terms of R and A.

Find the vertex, the $y$-intercept, and symmetric point, and use these to sketch the graph.
$y=8 x^2+40 x+37$

The equations of parabolas, circles, ellipses, and hyperbolas are given. Graph the equation.

$$y^2/25-x^2/121=1$$

What did natives of the Caribbean likely teach to European colonists?