SQA Higher Mathematics Area 3 Applications overview quiz quiz

$-1 < a < 1$

$a > 1$ only

$a \ge 1$

$a \le -1$

$5$

$20$

$10$

$15$

$(g, f)$

$(2g, 2f)$

$(-g, -f)$

$(-2g, -2f)$

$g^2 + f^2 - c$

$\sqrt{g^2 + f^2 + c}$

$\sqrt{c}$

$\sqrt{g^2 + f^2 - c}$

A tangent touching once

A chord cutting the circle twice

A line that misses the circle

A diameter

Another tangent

The radius

A diameter at the far side

The x-axis

Stop straight away, since the answer is now complete

Integrate the original function with respect to x

Check the nature of the stationary point

Double the result you have just obtained

$v = \displaystyle\int s\,dt$

$v = s^2$

$v = \dfrac{dt}{ds}$

$v = \dfrac{ds}{dt}$

$\displaystyle\int_a^b \big(f(x) - g(x)\big)\,dx$

$\displaystyle\int_a^b \big(g(x) - f(x)\big)\,dx$

$\displaystyle\int_a^b f(x)g(x)\,dx$

$\displaystyle\int_a^b \big(f(x) + g(x)\big)\,dx$

Acceleration

Displacement

The maximum speed

The average speed

Integration simply does not work at all for any region below the x-axis

The limits of integration always become imaginary below the axis

Its integral is negative, so it would cancel area above the axis

A region below the x-axis always encloses exactly zero area

Only at a stationary point inside the interval

Only at the exact midpoint of the interval

Only at the left-hand endpoint of the interval

At a stationary point or an endpoint