(x + 2y), 0sx<1,0

Q: 2x - 3x + 13x+a if x#2 f(x) = . X-2 b if x = 2

A: Solution:- It is give that f(x) is continuous at x=2  and the given function is  f(x)=…

Q: Let f(x)=x^2−8x+5 with domain 0<x<4 Calculate (f^−1)′(−2)

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Q: find the absolute extrema of the function f(x) = x^2 - 6x on the intervals [- 1,6], (3,7], (0, 6),…

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Q: (lx) +3, x≤-3 Q4) Check the continuity of f(x) = -2x -3<x<3 " (6x + 2, x ≥ 3

A: To check the continuity of given function,

Q: Sketch c(t) = (t^2 − 4t, 9 − t^2) for −4 ≤ t ≤ 10

A: Given c(t)=(t2-4t, 9-t2)    ; -4≤t≤10

Q: f we use Trapezoidal rule to approximate * f(z)dx then find the value of x2, where n= 6 Select one:…

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Q: answers as needed. Type your tion set of |x^(2)+x|=6.

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Q: Find The Valle f X 十 キ

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Q: Find f'(x) for each of the following:< Ax) = 3x³ – 2x +4 b Ах) — 3(х + 2)? -2е a 8x* – 3x Ax) = Ax)…

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Q: |- Let f(x, y) = y²e* +y find fryy

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Q: 3) Determine A and B that makes the function continuous as x approaches 0 and 1? y A x>1 x-B x<0

A: Given:           y=x2                  0≤x≤1A                   x&gt;1x-B             x&lt;0 Given…

Q: (b) (x*y2,1/3(xy) -1/3 X + 0, y # 0

A: We will simplify the expressions by writing the exponents with equating the bases.

Q: 10) Find (ƒ^¯') (-5) if ƒ(x)= x³ +3x−1.

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Q: If the function is defined y=2x when x=3, is this function differentiable at x=3? Also, is this…

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Q: when zo f(x-y) *y - 1

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Q: Differentiate the following function: * x2+1 y = -2x -4x y' = y' = (x2-1)² %3D (x2–1)2 Option 2…

A: Differentiate y=x2+1x2-1

Q: Can you specify how you got the F=(y-x, x, y+x) on step 2?

A: The vector field F =(y-x, x , y+x) is given .

Q: Suppose that f is a continuous function such that | f(x) dz = -12. Find (*") dr.

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Q: - 2 x f (æ) = V

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Q: 6) - secx tanxd x

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Q: 15. For f (x) = x ^ 3 -12x + 10 the interval where f (x) is concave downward is: A. (0, ) b. (-00,…

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Q: If f" CQ) = xa (x+)S (x-!) And all inflection points.

A: I have appended the concept used in the solution part

Q: R ,,D المناسبة ل لداله الاتية : س / أختار قيمة x-2 f(x) = x+2

A: Root of the function is 2.