HW KLX) = 2x+5 7 -1. Find ke-²¹ (x) 2. Prove by kok orklok

Q: Let f (x) = x2 - 3 and g(x) = 2x + 1. Find (fg)(2). 2) ***HINT: Start by first finding f (2) and…

A: The given functions are,

Q: dx Evaluate f- +1) using the Cauchy principal value.

A:

Q: If f(x) = x2, what is the ordered pair for x = 7 ? %3D O (7,21) O (7,49) O (7,9) O (7,14)

A:

Q: Find the local minima/maxima of -x + ln x if it exist

A: fx=-x+lnx Differentiating with respect to x, we get f'x=-1+1x Now to find critical values, solve the…

Q: Find the value of the Boolean expression for (x1 ^ (x2 V (X1 A2))) v ((x1 ^T2) V (X1 A 3)|

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Q: find a so that the point (-1,4) is on the grapn of f(x) = ax² + 2

A:

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: g(x + h) – g(x) g(x) = -x² – x + 9 Given the function find the difference quotient h

A:

Q: f(x) = sqrt 9-x, [-16,9]  If the Mean Value Theorem can be applied, find all values of c.

A: Consider the given function as fx=9-x and the interval is -16,9. Using a graphing utility, sketch…

Q: Given m (x) = 3x - 9 and n(x) = - 4 +2x, find 2(x) – m (x). Do not include spaces in your answer.

A: By using direct subtraction rules we can   find n(x)-m(x)

Q: Find all real numbers for which the distance between (x,-1) and (2, x) is 3

A: →Distance between the two points A(x1,y1) and B(x2,y2) is given by,                          d =…

Q: Soec "x dx X,

A: If we have integral  ∫f(x).g(x) = f(x)∫g(x)dx  - ∫f'(x)∫g(x) dx where ,f(x) is first function and…

Q: Differentiate f(x) = log, (9 – 10x).

A:

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: PROVE THAT Q(-∞) =1 usign Q – Function

A: Given that Q-∞=1

Q: 1 f X~ N(0,0²), then X² ~G (¹2¹2) Prove this statement

A: Given  X~N(0, σ2)

Q: Consider f(x) = (x - 1) / (x - 3). Use A = (-infinity, 3) union (3, infinity) as the domain. What is…

A: Let y = f(x). Then

Q: -2 -1 0 1 3 5 6

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Q: (1) Express j-3(x) in terms of Jo(x) and /+1(x)

A: Given:J-3x, J0x, and J1x. We have to express J-3x in terms of J0x, and J1x.