Suppose E, F C S with Pr[E] = 0.2, Pr[F] = 0.5 and Pr[E' n F] = 0.45. What is Pr[E\F]?

Q: Let f(x) = | 1°dt. Evaluate the following. f'(x) = f'(-6) =

A: ∫xn dx   xn+1 /n+1 + C f(x) = ∫x0 t6 dt       = [t7/7]x0   f(x) = x7/7

Q: r(t) = ( tan(7t), sec(8t), -'(t) =

A: rt=tan(7t),sec(8t),1t2 We have to find r'(t)

Q: Suppose h is a function that is differentiable for all real numbers x, h(2) = 7, and h'(2) =-2. What…

A: Final Answer: The value of dxd​[xh(x)​] at x=2 is 4−11​ Option B is the correct answer. B) 4−11​…

Q: 9. Let f(x) = cos 2x. Calculate f(50) (x), the 50th derivative of f(x).

A:

Q: h(y) = et. In (g) Find b'(a)

A: Topic:- calculus

Q: 2. Zenzizenzizenzic is an obsolete word used in mathematics, before powers were written as…

A: Chain rule: For 2.ddxfghax+b=f'ghax+b·g'hax+b·h'ax+b·ax+b'---------------------------------For…

Q: Suppose h = fog. Find h'(0) given that f(0) = 8, f'(2) = -7, g(0) = 2, and g'(0) = 3. h'(0) =

A: Given that, ,  and .The aim is to find the value of .

Q: 3. If f(x) = sinx ex find f'(0).

A: fx=sinxex

Q: If f(-0.1) = 5, f(O) = 7, and f(0.1) = 8 then f'(0) is approximately equal to: a. 0 Ob. 15 Ос. 30…

A:

Q: What is the second derivative of the graph below at x = 1? -5 -4 -3 -2 f "(1) = 5 4 3 2 da 4 I 4

A:

Q: 8. Find the derivative of the function. y= In(1+x)

A:

Q: Let f(x) = (x" + 10x) e 6x-5, where n is an unspecified constant. Find the value of n such that the…

A:

Q: Verify that the derivative and integral results for a general base b reduce to the expected results…

A: Note that ddxbux=lnbeuxu'x,∫bxdx=bxlnb+C.

Q: Let h(x) = tan (2x + 6). Then h'(2) is and h'(2) is

A: topic- functions and derivatives

Q: If f(x) = 3 cos (4 ln(x)), find f'(x). Find f¹(3).

A: The function is given by fx = 3cos4lnx To determine: The expression of f'x and the value of f'3.

Q: Given that f(z) = z'h(z) h(- 1) = 3 h'(-1) = 6 %3D Calculate f'(- 1).

A:

Q: Let f(x) = sin(4g(x)). Evaluate f'(x).

A:

Q: Let f(x) = t° dt. Evaluate the following. f'(x) = f'(5)

A:

Q: Use the graphs of f and g, shown below, to find the following. yA 4. ((2). If the derivative does…

A: Write the derivative of the form u/v then substitute the value of x at which we have to find the…

Q: 2. Find the derivative of the function. y = e* In (sinæ)

A:

Q: 3. Let f be defined by f(x) = e* sin x. What is the slope of the line tangent to the graph of f at x…

A:

Q: 1. State two interpretations of the derivative (No formulas!). 1st: 2nd.

A:

Q: If f(x) = 2 cos(3 In(x)), find f'(æ). Find f'(1).

A: