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: 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)

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

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

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

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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: -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

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

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

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

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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…

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

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

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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…

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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