Find an equation for the parabola with focus (4, 0) and directrix x = 3. Sketch the parabola together with its vertex, focus, and directrix.
Q: What is a general solution? A particular solution?
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Q: Find the centroid of the region bounded by the x-axis, the curve y = csc x, and the lines x = pai/6,...
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Q: By multiplying the Taylor series for ex and sin x, find the terms through x5 of the Taylor series fo...
A: First, we need to find the terms through x5 of the Taylor series for ex sin x which is found by mul...
Q: What theorem sometimes enables us to use l’Hôpital’s Rule to calculate the limit of a sequence? Give...
A: The theorem which enables us to use L'Hospital’s Rule is,
Q: What integral equation is equivalent to the initial value problem y′ = ƒ(x), y(x0) = y0?
A: Write y'= dy/dxThen separate the variables.
Q: п What happens to x cos(nx)dx when n = 0? Justify your answer.
A: First of all, consider the given integral value and integrate.Let nx = a.Calculate dx and the limits...
Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) -{ x – 4x +1 -x? + 4x – 5 i...
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Q: In the function: f(x)= (4x^2)/((x^2)+4) What are the critical numbers of the function? Where is t...
A: Given function
Q: Match the polynomial function with its graph: [A] through [H]
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...