Finding a logarithmic function from a graph
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Finding a logarithmic function from a graph

Here's the graph. When I use the points $(-1,1)$ or $(-3,2)$ to use in the equation $a\log(-x-1)+k$, I can't find a finite value for k. Any ideas?

Published: Aug 13, 2026

Writing an objective function such that the problem has an optimal solution
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Writing an objective function such that the problem has an optimal solution

i know it's basic but I'm struggling with how to find the objective function of a linear program. How do i write an objective function given onl...

Published: Aug 13, 2026

What are the formulas for topological transformations? How to obtain them?
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What are the formulas for topological transformations? How to obtain them?

I'm reading Flegg's From Geometry to Topology, the author says that in Euclidean geometry, translation and rotation are: $$T:(x,y)\to(x+a,y+b)$$...

Published: Aug 13, 2026

What is the probability of selecting a red marble, then a blue marble if the first marble is replaced? [closed]
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What is the probability of selecting a red marble, then a blue marble if the first marble is replaced? [closed]

A bag contains 4 green marbles, 9 red marbles, 10 orange marbles, 9 brown marbles, and 11 blue marbles. You choose a marble, replace it, and choose again....

Published: Aug 13, 2026

When to Use Normal Approximation?
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When to Use Normal Approximation?

Do we use normal approximation when discrete distributions are hard to solve? For example, $P(X\ge 7000)$ where is $X\sim\operatorname{Binomial}(13000, 0....

Published: Aug 13, 2026

Finding C in a definite integral with no reference point
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Finding C in a definite integral with no reference point

How to find C in this equation? $$\int_0^x f(t)~dt=\int_x^1t^2f(t)~dt + x^2/4 + x^4/8 +C$$ I attempted to move over $\int_0^x f(t)~dt$ to the right side, ...

Published: Aug 13, 2026

Problem comprehending the representation of complex numbers by a unit circle
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Problem comprehending the representation of complex numbers by a unit circle

I'm having a very basic problem with understanding the representation of complex numbers using the unit circle. An example of what I'm strugglin...

Published: Aug 13, 2026

How do I evaluate the following derivative?
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How do I evaluate the following derivative?

How can I evaluate the derivative $$\left. \frac{d}{dx} \left( x \, \ln(x^5) \right)\right|_{x=1} \, ?$$ I have this math problem, and the biggest thing I...

Published: Aug 13, 2026

Describe the Galois Group of a field extension
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Describe the Galois Group of a field extension

I'm struggling to understand the basics of Galois theory. One of the things I don't understand is how to actually derive automorphisms of a fiel...

Published: Aug 13, 2026

Linear transformations and polynomials
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Linear transformations and polynomials

I've been having a really hard time recently understanding linear transformations. I would really like to know conceptually what exactly is going on....

Published: Aug 13, 2026

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