e par a cen Suppose (1) Determine P(X < 1/2). (2) Determine E(X) and V(X). is given on right. f(x)= 4x³, 0

Q: Without repeating any digits, how many 3-digit numbers can be formed from the 5 digits {1,2,3,4,5}…

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Q: Give the value(s) of x at whichf has either a local minimum or a local maximum. Give the interval(s)…

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Q: et f and g denote differentiable functions. If f'(x) = g (x), then f(x) = g(x).

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Q: 9. f(x)=T √√5x²

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Q: 6) Use derivatives to find where the function is concave up f(x)=x.e2x*

A: If  f "(x) &gt; 0  on an interval, then f(x) is concave up on that interval.

Q: B)ls w = z²1² analytical function or not?

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Q: Show that the function f(x) = K. when xw0 when xois discontinuous at x = 0.

A: Solution

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Q: 3x+1 Evaluate f'(-1) given that f(x) = %3D 2x+1

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Q: Please help!

A: Recall the quotient rule for derivative:

Q: Differentiate the function. g'(x) = g(x) = 2x² - 6x - 6x + 15 5

A: To differentiate the following function.

Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

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Q: Let f (x) = - x² – 3. Find and simplify ƒ' (x) and ƒ" (x). x5 f" f'(x) = A = -3 B C = || f" (x) D E…

A: Given Function f( x ) as follows

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Q: Determine f ″ ( x ) for f(x) = sec x

A: Given function: fx=secx

Q: Consider the function f(x)=eXx. Select all that apply. Select 3 correct answer(s) f(0) is positive.…

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Q: 7. Determine where the function is continuous. (a) f(x) = 1+x (b) g(x) = sinx+x² + x + 1. x² (c)…

A: This is a problem related to continuity of thr function. Please follow the procedure given below.

Q: Find an equation of the tangent line to y = f(x) at x = -2. (Using the definition) f(x)=x² + x² + x…

A: we have, Differentiating w.r.t x, we getDifferentiating again w.r.t x, we getFurther,    .     .…