206 results for "calculations".
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Question in Lineare Algebra 1
Direct calculation of low positive and negative powers of complex numbers. Calculations involving a complex conjugate. Powers of $i$. Four parts.
Original: https://numbas.mathcentre.ac.uk/question/11788/arithmetics-of-complex-numbers-v/ by Newcastle University Mathematics and Statistics
Tramslated to German
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Question in Marie's linear algebra workspace
Find the determinant and inverse of three $2 \times 2$ invertible matrices.
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Question in Liz's workspace
Customised for the Numbas demo exam
Motion under gravity. Object is projected vertically with initial velocity $V\;m/s$. Find time to maximum height and the maximum height. Now includes an interactive plot.
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Question in Bjørn Henrik's workspace
Find the determinant and inverse of three $2 \times 2$ invertible matrices.
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Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.
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Question in Lyn's workspace
Addition calculations to be carried out by hand, full worked solutions in feedback.
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Question in Nursing
Given the formula for BMI, students are asked to determine a patient's BMI given their height in cm (as people usually do) and their mass in kg.
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Question in Bill's workspace
Divide $ f(x)=x ^ 4 + ax ^ 3 + bx^2 + cx+d$ by $g(x)=x^2+p $ so that:
$\displaystyle \frac{f(x)}{g(x)}=q(x)+\frac{r(x)}{g(x)}$ -
Question in Bill's workspace
Solve for $x$: $a\cosh(x)+b\sinh(x)=c$. There are two solutions for this example.
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Question in Bill's workspace
Express a sum of linear terms in $x$ and $y$ as a single linear term in $x$ and $y$.
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Question in Bill's workspace
Rotate $y=a(\cos(x)+b)$ by $2\pi$ radians about the $x$-axis between $x=c\pi$ and $x=(c+2)\pi$. Find the volume of revolution.
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Question in Bill's workspace
Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$.
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Question in Bill's workspace
Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$
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Question in Bill's workspace
First part: express as a single fraction: $\displaystyle \frac{a}{x + b} + \frac{c}{x + d},\; a \neq -c$.
Second part: Find $\displaystyle \frac{a}{x + b} + \frac{c}{x + d}+\frac{r}{x+t}$ as a single fraction.
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Question in Bill's workspace
First part: Express $\displaystyle \frac{a}{px + b} +\frac{c}{qx + d},\;a=-c$. Numerator is an integer.
Second part: $\displaystyle \frac{a}{px + b} +\frac{c}{qx + d}+ \frac{r}{sx+t}$ as single fraction
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Question in Bill's workspace
Express $\displaystyle b+ \frac{dx+p}{x + q}$ as an algebraic single fraction.
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Question in Bill's workspace
Express $\displaystyle ax+b+ \frac{dx+p}{x + q}$ as an algebraic single fraction.
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Question in Bill's workspace
Express $\displaystyle \frac{ax+b}{cx + d} \pm \frac{rx+s}{px + q}$ as an algebraic single fraction over a common denominator.
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Question in Bill's workspace
Express $\displaystyle \frac{a}{x + b} +\frac{c}{(x + b)^2}$ as an algebraic single fraction.
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Question in Bill's workspace
Express $\displaystyle \frac{a}{x + b} + \frac{cx+d}{x^2 +px+ q}$ as an algebraic single fraction over a common denominator.
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Question in Bill's workspace
Express $\displaystyle \frac{a}{x + b} +\frac{cx+d}{(x + b)^2}$ as an algebraic single fraction.
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Question in Bill's workspace
First part: express as a single fraction: $\displaystyle \frac{a}{px + b} + \frac{c}{qx + d}$.
Second part: Find $\displaystyle \frac{a}{px + b} + \frac{c}{qx + d}+\frac{r}{sx+t}$ as a single fraction.
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Question in Jessica's workspace
Calculations of the lengths of two 3D vectors, the distance between their terminal points, their sum, difference, and dot and cross products.
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Exam (4 questions) in Kariane's workspace
Welcome the the first stats quiz! It's very short.
- You have 25 minutes.
- There are 3 questions (with parts). The topics are measures of central tendency and measures of spread.
- Enter all of your answers and keep 2 decimal places.
- Submit them as you go to make sure you don't carry mistakes. You can't change your answer once you've submitted it.
Write down on a sheet of paper the data you are given, along with your detailed calculations. Submit a picture on google classroom.
Let me know if you have any questions!
Good luck!
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Question in Content created by Newcastle University
Given $P(A)$, $P(A\cup B)$, $P(B^c)$ find $P(A \cap B)$, $P(A^c \cap B^c)$, $P(A^c \cup B^c)$ etc..
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Exam (5 questions) in Shaheen's workspace
You are allowed 38 minutes to complete this test.
You may use rough paper for your calculations.
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Exam (5 questions) in Shaheen's workspace
You are allowed 31 minutes to complete this test.
You may use rough paper for your calculations.
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Question in Priyanka's workspace
Find the determinant and inverse of three $2 \times 2$ invertible matrices.
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Question in Content created by Newcastle University
(Green’s theorem). $\Gamma$ a rectangle, find: $\displaystyle \oint_{\Gamma} \left(ax^2-by \right)\;dx+\left(cy^2+px\right)\;dy$.
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Question in Content created by Newcastle University
Three 3 dim vectors, one with a parameter $\lambda$ in the third coordinate. Find value of $\lambda$ ensuring vectors coplanar. Scalar triple product.