Find the values of a and b that make f continuous everywhere. x2 – 4 - 4 if x < 2 X - 2 f(x) = ax2 - bx + 3 if 2 sx < 3 if x 2 3 2x - a + b a b = IL||

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Q: Show that f(x) = 2/x2 + 3x4 – 5x6 is an even function

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Q: (a) Find the critical values and the corresponding function values. (b) State the intervals on which…

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Q: Show that the function f(x) = 2(x^3)-4(x^2)+5x-4 has a zero between x = 1 and x = 2.

A: Please refer to the image below

Q: Evaluate Function  g(3,4) when g(x,y)=x-6y/x^2+y^2 a. -25/21 b. -5/21 c. -21/25 d. -21/5

A: For this problem, we have to substitute the values of x and y in given function g(x,y).

Q: State the domain of f(x) =- x+3 O (e> 3} {x\x 2 3}

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Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Let /(x) = 7 - 9x - 20. Find f(-3)

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Q: -2 -1 0 1 3 5 6

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Q: Prove that x -2x+2>0 for value of x.

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Q: Let f(x) f-1(-7) = x +3 x + 9 О acer

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Q: Let f=​{(0​,8​),(5​,0​),(9​,4​)}. Find f(0)

A: We have given f.  We have to find f(0)

Q: Let f(x) = −x^3 + 5x + 1. Tick all the boxes below corresponding to true statements. There is more…

A: given

Q: Differentiate. f(x) = In (4x + 1)(x+7)³ (1 - 6x)5

A: The solution is given below:

Q: Find f1(-2) whenever f(x)= x2+2x-1/ex

A: We are given f(x)= x2+2x-1/ex. Here, we need to find f1(-2) that is nothing but finding f(-2).

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below