Q: #3: Find the maximum of f(x, y) = 19 ln(18x6y6) + 43 subject to x² + y² = 25, x > 0, y > 0.
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Q: Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population…
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Q: Let f(x) = -9 + 10x - x³. (a) Find the interval(s) where f(x) is increasing. (Enter your answer…
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Q: Differentiate and simplify each of the following. a) f(x) = 8x³ +7x² − 3x+14 c) f(x)=(x²+1)'(7x +…
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Q: Find the horizontal and vertical asymptotes of the graph of the function. 2x² x² - 16 g(x) =
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A: The objective of this question is to determine whether the given series converges or diverges using…
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Q: 4. 5. Write the three properties of logarithms in terms of base e. Use properties of logarithms to…
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A: The objective of this question is to find the degree 2 Maclaurin Polynomial for the function f(x) =…
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A: Given that the region is bounded by the graphs of
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Q: 10. The function g(x) = x² = kx³ + 4x² - 5x +9 has a minimum when x = 2. Determine the value of k.
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Q: Find an equation for the hyperbola whose graph has vertices (0, ±6) and asymptotes y = ± 1 x. The…
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Q: Find the area under the curve of the following function ƒ(x) = 4 sec² x on the interval 3п 5п 4 4 2
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Q: Please aolve
A: The given limit does not exist.Explanation:
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A: To evaluate the following integral.
Q: The expression log 2⁹ can be written in the form
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A: Given Indefinite Integral is as follows
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Q: Please use Differential equation or intergral equation to solve thanks
A: Please check the explanationExplanation:To solve this problem using a differential equation, let's…
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Q: Find a function f such that Vf = 2e²x cos(5y)i - 5e²x sin(5y)j + z³k. f(x, y, z) =
A: Given :- = 2e2x.cos(5y)i - 5e2xsin(5y) j + z5kNow,
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Q: 5. Solve the differential equations below by using Laplace transformations.
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Q: Determine the limit shown below in simplest form. x² X lim x1x² - 1 -
A: given limit
Q: a. lxldx b. (1+x1) dx
A: To sketch the graph of the integrand function and by using it to evaluate the integral.
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- Find lim?→∞ for (5x2-100x+sin2x) / x2. Thank you!??????? ? (a) (i) Lim 5x −3 − 4/ 2x −2 + 9 x→∞ (ii) Lim (x − 3) 2/x2/2 − 2x − 3 x→∞ During a nationwide program to immunize the population against a new strain of the flu, public health officials determined that the cost of inoculating x% of the susceptible population would be approximately C(x) = 1.85x/100 - x million dollars. (i) What would it cost to providing immunization to the first 20% of the susceptible population? (ii) What would it cost to providing immunization to the next 30% of the susceptible population? (iii) Suppose 17 million dollars are available for providing immunization. What percentage of the susceptible population will not receive immunization? (iv) If money was not a problem will they be able to providing immunization to the entire susceptible population? (c) Determine the values of x for which the function f(x) = {2x2 – 4 x < 2 {x + 2 2 < x > 5 {7 x ≥ 5 is…Determine the value of the constant c if limx→0 4√1+cx −1 /x = 3.