272 results for "cos".

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• Question

No description given

• Question in How-tos
A custom marking algorithm picks out the names of the constants of integration that the student has used for the $\cos$ and $\sin$ terms in their answer, and replaces them with $A$ and $B$ respectively, before comparing with the correct answer. This way, the student is free to choose the names for their constants of integration.
• Question

Calculate the marginal and average cost for a given cost function. Find the corresponding startup/shutdown price.
Maximize the profit function at a given price.

• Sine and Cosine rules
Question

Solve a random oblique triangle for sides and angles.

• Question

Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

• Question

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

• Question

Four sinusoidal graphs are given. Student should select the one which is sine and cosine.

• Exam (10 questions)
Sinus en cosinus, tangens en cotangens
• Question in FME

Draws a triangle based on 3 side lengths.

• Question

No description given

• Question

Find $\displaystyle \int \sin(x)(a+ b\cos(x))^{m}\;dx$

• Question

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

• Question in Demos

Contains some extremely basic code to do symbolic differentiation: it can give the derivative of terms of the form $x^n$, $sin(x)$ and $cos(x)$, and apply the chain rule.

• Min_max_v1
Draft
Question

Calculate the local extrema of a function ${f(x) = e^{x/C1}(C2sin(x)-C3cos(x))}$

The graph of f(x) has to be identified.

The first derivative of f(x) has to be calculated.

The min max points have to be identified using the graph and/or calculated using the first derivative method.  Requires solving trigonometric equation

• Question
Calculate the competitive price as the minimum of the average cost, given a production function in one variable for a situation of perfect competition.
• Find the angle between planes
Has some problems

Find angle between plane $\Pi_1$, given by three points, and the plane $\Pi_2$ given in Cartesian form.

The calculation of $cos(\alpha)$ at the end of Advice has fractionNumbers switched on and so the result is presented as a fraction, which can be misleading. Best if calculation is followed through without using fractionNumbers.

• Given a generating matrix for a binary linear code, construct a parity check matrix, list all the codewords, list all the words in a given coset, give coset leaders, calculate syndromes for each coset, correct a codeword with one error.

• Find the cosine of the angle between two pairs of 3D and 4D vectors.

The calculations and answers are correct, however the Advice should display the interim calculations of the lengths of vectors and their products to say 6dps. At present the student may be mislead into using 2dps at each stage - the instruction at the start of Advice is somewhat confusing.

• Question

No description given

• 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

Find the solution of a first order separable differential equation of the form $a\sin(x)y'=by\cos(x)$.

• Question

Find $\displaystyle \int \sin(x)(a+ b\cos(x))^{m}\;dx$

• Question

Find $\displaystyle \int \frac{nx^3+mx^2+nx + p}{1+x^2}\;dx$. Solution involves $\arctan$.

• Question

Given constant demand for a product, calculate the economic order quantity, and the minimum cost per year.

• Question

Given constant demand for a product, with a single break point on the price, calculate the economic order quantity, and the minimum cost per year.

• Question

Find (hyperbolic substitution):
$\displaystyle \int_{b}^{2b} \left(\frac{1}{\sqrt{a^2x^2-b^2}}\right)\;dx$

• Question

Find $\displaystyle \int\frac{ax^3+ax+b}{1+x^2}\;dx$. Enter the constant of integration as $C$.

• Question

Find $\displaystyle \int \frac{nx^3+mx^2+nx + p}{1+x^2}\;dx$. Solution involves $\arctan$.

• Question

Find $\displaystyle \int\frac{ax^3+ax+b}{1+x^2}\;dx$. Enter the constant of integration as $C$.

• Question

Find (hyperbolic substitution):
$\displaystyle \int_{b}^{2b} \left(\frac{1}{\sqrt{a^2x^2-b^2}}\right)\;dx$