1.What is the domain of $$h(x)=\sqrt{5-2x}\,?$$

2.If $f(2)=5$ and $f'(2)=-3$, what is $$(f^{-1})'(5)?$$

3.What must be done first before partial fractions for $$(x^3+1)/(x^2-1)?$$

4.What is the range of $$f(x)=x^2$$ restricted to $x\ge-2$?

5.The equation $$4x^2-9y^2=36$$ describes:

1.Which vector is perpendicular to $(2,-1)$?

2.What is a normal vector of the plane $$3x-2y+z=7?$$

3.Two planes have normals $n_1$ and $n_2$. Their intersection direction is parallel to:

4.If $a\cdot b=0$ and both vectors are nonzero, their angle is:

5.In the point-to-plane distance formula, what appears in the denominator?

1.What is $$|3-4i|?$$

2.The principal argument of $-i$ is:

3.How many distinct complex solutions does $$z^7=2$$ have?

4.If $\arg z=\pi/3$ and $\arg w=\pi/4$, then $\arg(zw)$ is:

5.The set $$|z-(1+i)|=2$$ is:

1.Which form directly permits l'Hôpital's rule?

2.What is $$\lim_{x\to\infty}\sin x/x?$$

3.Which statement is always true?

4.The best first move for $$(\sqrt{1+x}-1)/x$$ as $x\to0$ is:

5.At x=0, $$|x|$$ is:

1.Differentiate $$e^{x^2}.$$

2.If a tangent slope is $-2$, the normal slope is:

3.Which pair of conditions is required for MVT on $[a,b]$?

4.Differentiate $$xe^x.$$

5.The derivative of $$y^3$$ with respect to x is:

1.What is the first nonzero term of $$1-\cos x$$ near zero?

2.The first two nonzero terms of $$e^{x^2}$$ are:

3.After dividing $$O(x^7)$$ by $$x^3$$, the remainder is:

4.After $$x-x^3/6$$, the next nonzero sine term is:

5.If all terms through degree 4 cancel and the denominator is $x^5$, how far must the numerator be expanded?

1.Which method is most natural for $$\int x e^x\,dx?$$

2.For denominator $$(x-2)(x+3)^2$$, which decomposition is required?

3.Differentiate $$\int_0^{x^2}\cos t\,dt.$$

4.An antiderivative of $$1/(x-3)$$ is:

5.The integral $$\int_1^\infty x^{-2}\,dx$$:

1.For $$y'+(3/x)y=x^2$$ on $x>0$, the integrating factor is:

2.Which equation is first-order linear in y?

3.What must be checked for an initial-value problem?

4.For $$2y'+4xy=6$$, the normalized p(x) is:

5.For $$y'=x(1-y)$$, which constant solution must be preserved?