239 results for "power".

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• Question in Calculus

A question to test basic differentiation of functions, including powers of x, trig, log and exponential functions.

• Question

This question provides practice at differentiating polynomials.

• Question

Introductory exercise about power sets.

• Question

Slightly harder introductory exercises about the power set.

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Find modulus and argument of two complex numbers.

Then use De Moivre's Theorem to find powers of the complex numbers.

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$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

• Question

No description given

• Question in How-tos

This question shows how to display a number like "1234" as "1,234", or "1 234", using the formatNumber function.

• Although the statement has 4 power stations and 3 pits, when the question is run sometimes 3 power stations are given and sometimes 4 pits.

• Question

Multiple response question (4 correct out of 8) covering properties of convergent and divergent series and including questions on power series. Selection of questions from a pool.

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Factorising 5 to 7 digit numbers into a product of prime powers.

Uses the marking algorithms from question 1 of this CBA

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Power series solution of $y''+axy'+by=0$ about $x=0$.

• Question

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

• Question

Question on $\displaystyle{\lim_{n\to \infty} a^{1/n}=1}$. Find least integer $N$ s.t.  $\ \left |1-\left(\frac{1}{c}\right)^{b/n}\right| \le10^{-r},\;n \geq N$

• Question

$\displaystyle \int \frac{bx+c}{(ax+d)^n} dx=g(x)(ax+d)^{1-n}+C$  for a polynomial $g(x)$. Find $g(x)$.

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Find $\displaystyle \int ae ^ {bx}+ c\sin(dx) + px ^ {q}\;dx$.

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Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

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Information on inputting powers

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Questions testing rather basic understanding of the index laws.

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Differentiate $\displaystyle (ax^m+bx^2+c)^{n}$.

• The modulus of complex numbers
Has some problems
Question

Finding the modulus of four complex numbers; includes finding the modulus of a product, a power and a quotient.

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Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

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Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find negative powers of the complex numbers.

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Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find positive powers of the complex numbers.

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Direct calculation of low positive and negative powers of complex numbers. Calculations involving a complex conjugate. Powers of $i$. Four parts.

• Question

Round some large integers to the a given power of ten.

• Powers and indices
Exam (7 questions)

Questions on powers, the laws of indices, and exponential growth.

• Question

Fill in a table of powers of 10.

• Momo - Power Rules