answer:In the revised paragraph, I used the word demonstrated to indicate that the organization has shown or proven its commitment to protecting local animals through its actions. The word demonstrated implies a sense of evidence or proof, suggesting that the organization's commitment is not just a claim, but is backed up by tangible actions and results. If you'd like to avoid using the word demonstrated, here are a few alternative phrasings that could achieve a similar effect: * Despite being relatively new, the organization has shown a clear commitment to protecting local animals and has already achieved notable results. (Using shown is a more straightforward way to convey the idea, but it may not have the same level of formality as demonstrated.) * Despite being relatively new, the organization has made its commitment to protecting local animals clear, and has already achieved notable results. (This phrasing uses a more active verb, made clear, to convey the idea that the organization has actively shown its commitment.) * Despite being relatively new, the organization's actions have underscored its commitment to protecting local animals, and it has already achieved notable results. (This phrasing uses the word underscored to suggest that the organization's actions have emphasized or highlighted its commitment.) * Despite being relatively new, the organization has quickly established itself as a dedicated advocate for local animal welfare, and has already achieved notable results. (This phrasing uses the word established to suggest that the organization has firmly set itself up as a committed advocate, and the phrase dedicated advocate adds a sense of conviction and purpose.) These alternative phrasings aim to convey the same sense of evidence and proof as the original sentence, while using different words and constructions to achieve the effect.

answer:Let's address your concerns one by one: 1. In desperate need of can indeed be considered a cliché, as it's a fairly common and overused phrase. While it's not wrong to use it, you might consider alternative phrasings to add more depth and originality to your writing. For example, you could say The animal shelter was facing a critical funding shortage or The animal shelter was in a dire financial situation. These phrases convey a similar sense of urgency and need without relying on a familiar cliché. 2. Thanks to the event is a casual expression that may not be suitable for formal writing. In formal writing, it's often better to use more formal language to express gratitude or causality. You could rephrase this part of the sentence to something like As a result of the event or Due to the success of the event. These phrases convey a more formal tone while still expressing the idea that the event was the cause of the positive outcome. 3. Both more money than they expected and more money than expected are grammatically correct, but they have slightly different implications. More money than they expected implies that the subject (the animal shelter) had a specific expectation about the amount of money they would raise, and they exceeded that expectation. More money than expected is a more general phrase that doesn't specify who had the expectation; it could be the animal shelter, the organizers, or someone else. In formal writing, it's often clearer to specify who had the expectation, so more money than they expected might be a better choice. With these concerns in mind, here are a few possible rephrased versions of the sentence: * The animal shelter was facing a critical funding shortage, but the event exceeded their fundraising expectations, bringing in a welcome surplus of funds. * Due to the success of the event, the animal shelter was able to raise more money than they had anticipated, alleviating their financial strain. * The animal shelter's financial struggles were eased by the event, which generated more funds than they had expected, providing a much-needed boost to their operations. These revised sentences aim to address your concerns while maintaining the original meaning and message of the sentence.

answer:To perform numerical integration of a function `f(x)` over an interval `[a, b]` with a given tolerance `tol`, you can use the Simpson's rule. The basic idea is to divide the interval into smaller subintervals and approximate the integral of each subinterval using a quadratic polynomial. You can recursively divide the interval until the difference between the integral of the two subintervals is less than the tolerance `tol`. Here is a Python implementation of the `integrate` function using the Simpson's rule: ```python def integrate(f, a, b, tol=1e-6): def simpsons_rule(f, a, b): f_a = f(a) f_b = f(b) c = (a + b) / 2 f_c = f(c) I = (b - a) / 6 * (f_a + 4 * f_c + f_b) return I def integrate_rec(a, b): I = simpsons_rule(f, a, b) c = (a + b) / 2 I1 = simpsons_rule(f, a, c) I2 = simpsons_rule(f, c, b) if abs(I1 + I2 - I) < tol: return I1 + I2 else: I_left = integrate_rec(a, c) I_right = integrate_rec(c, b) return I_left + I_right return integrate_rec(a, b) ``` In this implementation: - The `simpsons_rule` function calculates the integral of the given function `f` over a subinterval `[a, b]` using the Simpson's rule. - The `integrate_rec` function recursively divides the interval `[a, b]` into two subintervals and calculates the integral of each subinterval using the `simpsons_rule` function. It checks if the difference between the integral of the two subintervals is less than the tolerance `tol` and, if not, recursively divides each subinterval and calculates the integral. - The `integrate` function is the entry point of the numerical integration process. It calls the `integrate_rec` function with the initial interval `[a, b]` and returns the integral value.

answer:<tool_call>[{name: get_specific_country, arguments: {country: Austria}}, {name: get_specific_country, arguments: {country: Denmark}}]</tool_call>