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Problem 1808. 04 - Scalar Equations 3

Created by Samuel Thrysøe

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version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Define the variables a, b, and c:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId2\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId3\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Use these to calculate z:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId4\"/></w:customXmlPr></w:customXml></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"},{"partUri":"/media/image1.png","contentType":"image/png","content":"data:image/png;base64,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"},{"partUri":"/media/image2.png","contentType":"image/png","content":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHQAAAAdCAIAAAD0A9/iAAAFh0lEQVR42mP4PwpoBhhGg2A0cEcDd/iCz3c3JNmLMzAwCCiFLT3xCijy6/3J5nBtsEjsjltfRwOXbPB4SkzAjKOvfr07XOAgoerQ/+TXi+WF8UCRz3eX+qjx2GZs+z0auOSBf3/u7t59+y+I+efmihg+gfQzX+7ARN4vy9MkNnB/f3l0fP+OdUsnVRf1nX39mxYOXTc525iPCZyhgruXnPz8j4CWd2eaFJgZGWCAkVGrfdszsiz/dmnXnIkTazzV5EsWP8B02KqWcGmQuxiUrHPWn3yFzQRQ4BoGL/74D15cLA20SySyWPj78uL6rgo/USYGAYXSaz+pHrK3JsdoM6AA4aT+i3/xafqyo8kSWYOoRs2tX2RY/mVHa0pZX0ccqOiUQAtciMOUrIsP3gYG07dzy5NkmLFGIbB8iFh1HRKUIGXAyGDhsm7fdPsvkcUCOKUw2Wds/UHlsP3zYFehvg3EA4gKgZUrbO9LnFnk5+sV3to5p95QKw9BogotcEHpkZ3RaNaJTzCRl8vyDDFiEej+9sYl1/9ixAouL2AG7s+TU32YMOKWKtXC9Nxq5GD69+dkrj4/I4qvMLNhQkDNUdxJ+8vxxRN33PyMTer3o6Oz5+548o9w4D6eHKmAFpTgFIai7NOteSWN+zELMaBKRRaXNbd+EBO493uDZJlYXFff/EGzagHFV3gCFxL64EIwY8LE5VffYqSOf682NbtJKidsRw/f3w+PtpiKalcsuvabUOACM4e7MJMBUkmKKfj57oq8vCXPfkPZ1RNOwDzyZmuTqxqw/fCbiGLh14f1vqJMkvpN937/eXNnz5wpE6cv2PXo0x8aNXGAgYunWMCoytSyJxxFTztYwhdXyGIPXLAtnP6o+QMSr5Dk/OvdtmgNXrgzgA7e/fQYJNaBdYZvxlwssY4tcP89P1AqwcTqUbJqx+RoZWktPSVBBgYmNbuWax9Rwvfvz3cP7uAFd198/0dM4Kr448v14Ph+f3r+pBpPVR5I+JYtvv4XX/rFE7JYAxdU4LIxYg9c/PUBqT00iN38Vp4BqXU73vz49/fnhWpnLNUrWprCBMQ4C2iIkU395bdEuv7N7inRwNoZe2sBHL5yukW7j01zksQVsgMauP/+XqqyFQGGjGX08ndQq0CNZAYG3oT+K9Qugq82eoXAmjVEAlAljquM/vfvweQoFQYGnqDaw79IaC3QK3B/PF/kwMfEzOa2+sZ35GKRgUGuccMLqobtm22thbOOviJVG2YljlrOavgGWWKr38gMXHLb1FgCF2INq2PGlq//4JXmOj9JNi7RpOPvqFjmfju3ogqtwUhZ4P77cHsOpDT4BS4fpNRyTrz8RWQ7F9ww4EYLXKxNCEoC982yPB1GRoPJh97BnXKo34uFUSKl/9xvvPU4KWUusClenTvhImoyeXb3/lciA1eJF83kfx/uLA3UMkCUs6Dw9dS2q7/w+hdxnQii2rkUBS4kIyD1ev+9vzbFRpTXJnrBkx//qFQa/Hl8oq8QvSkOLCJa9xNVtAHLXBvU7jJGyBIIX+w9NGDXUY7HHakC+HZ8qq8kZWUCSuB+vNShzsKoaNP/HOTzf19e7ClwUqRqyP6HDNBhJnOk3AfyFTt0aAaUoIA99/IJ24Gtd2AfZHGhs3XYgme/kWvg6x1+NtjbBqDw9fHO3/H1H3qVyICl/wkSh40t/HlyeoqXmgG5w0PYAvfrow2pjoq8Uj5di5ZMa023UDHLn7D/DfVCFt7dwgDIXkUO3G8Xt5VDxs8YGDjNg6sWbscyPvL350+caf7fr5+//uEaAEILYuThOmCHcN72238p9jIDWsVw7dieHTt27Np35vlnGvXKRhAYHSwfDdzRwB0Fo4E7GrijgTsKRgN3wAAAigWzJcd+7ysAAAAASUVORK5CYII="},{"partUri":"/media/image3.png","contentType":"image/png","content":"data:image/png;base64,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"},{"partUri":"/media/image4.png","contentType":"image/png","content":"data:image/png;base64,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"}]}

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Last Solution submitted on Mar 20, 2023

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Solution 10356285

1 Comment

1 Comment

Henriette Aamand Holm on 4 Feb 2023

In MATLAB use log and not log10. The problem 1808 is asserted equal to ln(), so use log, and not log10 even though this is very tempting, when talking mathematical notations

Solution 9364168

1 Comment

1 Comment

Vasileios Pasialis on 13 Oct 2022

The z equation is wrong.
Currently in MATLAB, "log10(x)" is equal to log(x) and "log(x)" returns the natural logarithm ln(x).

Solution 6821440

1 Comment

1 Comment

Darina Bartova on 3 Nov 2021

log or ln???

Solution 312303

1 Comment

1 Comment

David on 29 Aug 2013

I matematisk forstand vil log() betyde 10-tals logaritme og ln() vil være naturlig logaritme

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