Use the figures to evaluate the function if f(x) = sin x. (X, 1) | x² + y² = 1 f (α+ β) x2 + y? = 4 | .....

Q: Use the function f(x)=x",x>0 to determine the bigger of the two numbers e' and a

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Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

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Q: What translation is made from f(x) = x to f(x) = 0.2(x + 3).

A: Given function f(x)=x The translation of a function f(x); f(x)+k -Vertical shift if k>0, the…

Q: Find the absolute extrema (max and min) of the function f(x) = ex 2−4 on [ -1,2]

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Q: Consider the function f given by f(x)=x/(x+3). The line tangent to f is parallel to the line x-3y=3…

A: The slope of a function f(x) is given be the first derivative of the function and slope of the…

Q: Let f be the function given by f (x) = 3*. For what value of x is the slope of the tangent line to…

A: Given, fx = 3x  We have to find the value of x at which the slope of the tangent line to the curve…

Q: On what interval(s) is the function y = –2x² + 3x/3 both increasing and concave down?

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Q: For a function f(x), f"(a) = 0 and f"(a) = 0. What could be true of the point (a, fla))? Explain.…

A: Given f'a=0and f''a=0

Q: let f(x)= x2 . Find the value c in the interval (0,3) so that fave = f(c).

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Q: Consider the function:-- f (x) = 1/2 x2   Sketch a possible graph of f' .

A: Given function is fx=12x2. To sketch a possible graph of f'. Solution: Differentiating the given…

Q: The domain of f(r) =tan(x) is Select one: a. 2 2 O b. IR - + nn} O c. IR O d. R {nt}

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Q: The function(x)= is concave down on which interval?

A: Given: f(x)=1x2+1

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

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Q: Draw the level curve for z = f(x, y) for each of the values listed below. Label each level curve…

A: Equating 2x2-y = z Equating with the values of z we can draw the graph for each function

Q: Consider the function. f(x) = x3 − 6x2 + 4 a. Find  f '(x). b. Find f ''(x). c. Find f ''(−6) and f…

A: We know that  d(xn)dx=nxn-1

Q: Use the sign pattern for the derivative dƒ/ dx = 6(x - 1)(x - 2)^2(x - 3)^3(x - 4)^4 to identify the…

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