Can you proof the following. P( a1 < X < a1 , b1 < Y < b2 ) =  F(a1,b1) + F(a2,b2) - F(a1,b2) - F(a2,b1)

Q: Let C(a) be the predicate " is a comedian, and let F() be the predicate" is funny." Match the…

A: Given: Cx is the predicate 'x is a comedian' and Fx is the predicate 'x is funny'. It is required to…

Q: What is the vertex of the function f(x) = 19(x+6)2 %3D O (19, 6) O (6, 19) O (6, 0) O (6, 0)

A:

Q: S(x) =x-5x+1, -2 <x<3

A:

Q: If h(x) = 3(x+2)² - 4 and s(x) = 2h(x-8) + 9, find the value of s(3).

A:

Q: If f (x) = x2 + 2x + 1, find f (x +1). O a) f (x + 1) = x² + 2x + 2 O b) ƒ (x + 1) = x² + 4x + 3 O…

A: Given f(x) = x2 + 2x + 1

Q: f(x+Ax)-f(x) 2,Ax # 0 given f(x)=x² +7 8.Evaluate Ax

A: The given function is fx=x2+7

Q: 1. The function f(z) factors to f() = (* + 2)(ar + bz + c). Find (a + 6+ c). S(z) = 3+3r-5x+2 (a) 5…

A:

Q: find the nUmbers b such that the auerage due of f(x)2+6x-3x on the interval E LO,b) is equel to 3

A: Average value of function is given by taking the integral of the function over the interval and…

Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: It is known that there are 10 defective computers out of a set of 100. If we randomly select 10…

A: Given Data: The number of defective computers is: d=10 The total number of computers is: n=100 The…

Q: If f(x) = 2z + 2 then find 02 22 +h O 22-h 200 Oh 32-h f(2 + h) - f(2) h

A:

Q: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

A:

Q: = 4, fi(5) = -1, g(5) 2, and g (5) 25. If f(5) 2f(a) 3g(x) 3, find hi(5) if h(a) =

A: Differentiate the given function on both the sides with respect to x to get an expression for h’(x);

Q: Vx+4 -2 1 limx¬0 ||

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Good Day

A: The objective of the question is to find the value of the function f(x) at x = 7. The function f(x)…

Q: Let f(x) = x2 –4x and g(x) = 2+x. Find (-3). %3D (- 3) =| (Simplify your answer.)

A: Given, f(x)=x2-4xg(x)=2+x To find: fg(-3) Note that fg(x)=f(x)g(x)

Q: Suppose f(x) = - 3x+5x + 6. Compute the following: %3D a) f( – 4) + f(2) = b) f( – 4) – f(2) =

A:

Q: maximise 2.01 + *2 subject to T1 – X2 < 1, 2x1- x2 1, 2x1 + 2x2 2 4, X1, X2 20

A:

Q: 8. f(x) = x² + 3x – 4, find: (a) f(2), (b) f(-1), (c) f(a), (d) f(a + h). 9. f(x) = 4x² + 2x – 5,…

A: We have to solve question 9,10

Q: 2. Let f(x) = -x + 7 and g(x)=x²-2. Evaluate each expression. (a) f(g(1)) (b) g(f(6))

A:

Q: Find the indieatedd deriuative, ) for f(a) (x+3)(-4)

A:

Q: EVALUATE

A: ∫ x-3x-1+x2dx

Q: If f(x) = ax³ + bx² + cx+d, where a, b, c, and d are constants, find f"(x). 6ax+ 2b 6x + 2 a+b+c+d…

A:

Q: Let f(x) = 3x – 6 and g(x) = x² – 3æ + 7. Then (f o g)(x) = (g o f)(x) =

A:

Q: Va-> a x Evaluate (i) | . -dx Va +x

A:

Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

A:

Q: 7. f f(x)= 4x+ 5, what is the value of f(-3)? 1) 17 2) -2 3) -7 4) 4

A: Answer (7)  Given ,  f(x) = 4x + 5  We have to find the value of f(-3)

Q: x² + (13 – 3x) a. Evaluate f(5) given that f(x) : 8x f(5) = Preview b. Evaluate g(x + 2) given that…

A:

Q: Evaluate f (z) = 3z² – 5x for f (-2) O 2 O 2 O - 22 O 22

A: We have to find the value of function

Q: Showthat fo= x| is Continuous evalyuhore- 1x1+1

A:

Q: Why is this statement false? "If f(2)=2, and f(4)=4, then f(3)=3."

A: To show following statement is false If f2=2, and f4=4 then f3=3