be coutinious at x Q3) Find the values of k and m that will make the following function continuous everynere x² +5 A V -12 f(x)=3m(x+1) +k 2x' +x+7 XS-1 A

Q: Q2/ A/ plot the function Z= 3(1-x) e-x²-(y+1)² – 10(x – x³ – y5)e-x²-y² _ ! e-(x+1)²-y² where…

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Q: 1. f(x) = (3x² – 5)(2x* – x) 2. y = (6x³)(7x*) 3. y = (3x2 -1)(x² + 5x + 2) %3D -

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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: 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: Determine if = f(x)=Vxis uniformly continous on the interval I [0, +)

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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: 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: find the critics (local max, lo cal min) Of the function f(xcy)= -x5+ Dy3+27x-24y+3

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Q: Find numbers a and b so that f'(1) exists for ax² + b 1 x² f(x) = if if x 1.

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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: If f is a function defined from R to R, is given by f(x) = 5x - 3 then f -(x) is given by %3D -- 20…

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Q: 3. Hallar una serie de potencias centrada en c = -3 para la función f(x) = 1 2х-5 a) Σ (3x)* 2-1…

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Q: Let f(x, y) = Evaluate f(5,5) 175 - 3x² - 4y2

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Q: Suppose that the average number of M= (32+27t)/(2t+7) where t is the number of days on the (a) Is…

A: Given that: M=32+27t2t+7 Simplify it. M=27t+322t+7=272-1252t+7

Q: We are given the following functions f : Z → Z × Z, f(x) = (x^2, x^3).  (a) Find images f({1, 2, 3})…

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Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O…

A: Given fx is continuous between a and b

Q: x -x-2 Find f"(3) if Ax)- x-2 O a) 1 O b) -1 O c) 2 d) -3

A: using quotient rule