Example 14. Given the function S x + a?, f (x) = if x < 0 a cos x + B sin x if x > 0, find the real constants a and B s.t. the function f is continuous and differentiable at x = 0.

Q: Find a and d for the function f(x) = a cos(x) + d such that the graph of f matches the figure. a = d…

A: From the given graph, we see       f(0) = -10       f(π) = -2

Q: Let fbe the function in blue and let g be the function in red below. (Click on the image to see a…

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Q: Find the domain of the following function. f(x,y) = cos X-2 .y + 1

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Q: Examine the following figure. 6 f(x)=sin(x) Of(x) = in(x) 2 One of the functions below is not drawn…

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Q: Let a<b. Use an important theorem to reason that t  | y(b) − y(a) | ≤ 3000(b − a).  The function is…

A: Step:- 1 Mean value Theorem :- Let f be a continuous function on [a, b] and function is…

Q: Write a function newt (f, df, x0) which implements Newton's method to identify a root of the…

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Q: The Bay of Fundy in Canada has the largest tides in the world. The difference between low and high…

A: Given, Difference between low and high water level = 18 m  y = D + A cos (B(t - C))

Q: Find the value of f(-1) when f(x) Select all that apply 1. f(-1) 2. f(-1) = 3. f(-1) 4. f(-1) = = =…

A: To find the value of f-1 when fx=3 tan-1 x-5 sin-1 x

Q: Assume that the number of hours of daylight in New Orleans in 1994 is given by the function  D(x) =…

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Q: Find when the function is concave up and when it is concave down. (remember it is arctan not an…

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Q: Use the figures to evaluate the function if f(x) = sin x. (x, 1) f(a + B)

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