If f(x) = Isgn(x – 1)| then, 1. D,= R R = (1,0, –1} 2. D, = [1,00) R = (1,0} 3. D, = R R, - (1,0) 4. Dr [1,00) R = (1,0,-1} %3D %3D %3D %3D %3D %3D

Q: Find the antiderivative of the functions. S 6x dx S(12x - 5)dx S 3dx S(2x2 + 3)dx 1.) 2.) 3.) 4.)…

A: 1. ∫6x dx2. ∫12x-5dx3. ∫3 dx

Q: The function z is defined by z(x, y) = x y-3 y Find A z and dz when x= 3, y= 5, Ax = - 0.04 and A y…

A:

Q: Suppose that you have 3 and 8 cent stamps, how much postage can you create using these stamps? Prove…

A: We shall show that every postage >=14 can be created using 3 and 8 cent stamps. And then deduce…

Q: Find the best least squares fit by a quadratic polynomial to the data -1 0 1 2 0139 I Y

A: Calculate Fitting second-degree Quadratic polynomial - Curve fitting using the Least square method…

Q: ye-(²²+y²+z²). Find all points (x, y, z) such that Vf(x, Y, z) = Question 2. Consider the function…

A:

Q: Suppose X and Y are the coordinates of a randomly sampled point in the triangle with vertices (- O),…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Determine the function y = eax + b that best fit the data x =(3, 2, 1, 0)T ,y =(µ, 1, e,1/e)T

A: Consider the given information. y=eax+b And, x,y =(3, 2, 1, 0)T ,(µ, 1, e,1e)T=3210,µ1e1e

Q: (늘 가 G-2). Find the value. A relative extrema of the function f occurs at f(x, y) = 9x2 + 3y2 - 9x +…

A:

Q: Let f(x, y, z) = x³ + 5x²yz + 3xz+ 3, v = Then: D, f(a) = 201 0 -2 and a = -5 2 -5

A: Given that f(x, y, z) =x3 +5x2 y z +3xz+3 The directional derivative is a concept from multivariable…

Q: xy* Let f (x, y) = if (x, y) # (0,0) and f (0,0) = 0. (a4+6y8)

A:

Q: Find Vƒ(P) and D7f(P). (a) f(r, y, 2) = yf + z² – 4xz; Ū = } i – $ j+ k; P(-2,1,3)

A:

Q: Jige If f(2) =-3, g(2) =4, f' (2) =2, and g' (2) =, d. then dx -21 16 9. 16 -13 16 29 16 6 jp 3…

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Q: Show that the function u(x,t) = t/2e-*/4 (t > 0) satisfies u, = uxx.

A:

Q: Find y' if 3x2- (xy²) = 2y³ 2 3=

A: Given: 3x2-xy212=2y3   As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…

Q: = Evaluate S₁2₁,22,23] f (2) dz where 21 = −i, z2 = 2 + 5i, zg 5i and f(x + y) = x² + iy

A:

Q: Find the function r that satifies the following condition. r'(t)=(3t2,4t3,2t); r(1)=(-2,-5,-9)…

A: Given,          r't= 3t2 , 4t3 , 2t  , r1=-2,-5,-9

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: for a -1 2x +5 f (x) = If fis the function defined above, then f' (-1) is A -2 B 3. E) nonexistent…

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Q: Zez analytical function or not?

A: We check whether w=zez is analytic function or not.

Q: The interval over which the function f(x) = becomes continuous is %3D x+8 (-3, 0) (-3, 3) (-00,…

A:

Q: if r'y-- 2y + 1.

A:

Q: Is |3x-1| a function?

A: A relation is said to be a function only when every point in the domain has a unique value in the…

Q: |(0,3) C1:x2 + y? = 9. (-3,0) C2 (3,0) Figure 1 Based on Figure 1 and given that F = y²i + (3xy +…

A: We have to find the work done by the vector force F =y2i+(3xy+4x)j Where c is a smooth circle…

Q: Let f(x, y) ƒ(2, 1) = = 150 - 2x² - 4y2. Evaluate f(2, 1). Give answer in exact form. 138

A: given  f(x,y)=150-2x2-4y2for  f(2,1) , put x=2  and y=1 in f(x,y)

Q: Let f (x) = vr +2² + 2 , ro = 1, h = 0.5, r1 using the Three-Point formulas to approximate f(1) (1);…

A: Given: The given fx=x3+x2+2, x0=1,h=0.5,x1=1.5 and x2=2

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.