(-1, 2) f(x) = {2x + 2, -4 < xS0 xS-4 %3D (3, x>0 14

Q: 1-х 26. f(x) =- х+2 27. /(х)- Vx* - 3

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Q: Increasing and decreasing functions Find the intervals onwhich f is increasing and decreasing.…

A: Given: fx=4-x2, fx=x2-16, fx=x-12 We know that any given functionfx is increasing in a interval if…

Q: 9. h(x) = (x2-4) (x2-1) 10. g(x) = %3D -5x-23x3-25x2-x+ 6

A: According to the Q&amp;A guidelines, one question can be answered. Please repost other questions…

Q: O ) -. x- -2 46. f(z) = 1/x. - -2 fe) = V3r + 1, x=0

A: Given: 44.  f(x)=x2,  x=−246.  f(x)=1x,  x=−248.  f(x)=3x+1,  x=0

Q: 18r1 + 9x2 + 6x3 subject to Maximize f I1 + 13 0, r3 0 If no solutions exist enter DNE in all…

A: For convenience we take f=Z.

Q: 5 [f(x) + 7g(x)]dx if 5 | fx)dx = 3 and / g(x)dx = -8. -3 -3 5 (f(x) + 7g(x)]dx = -3

A:

Q: -3х - 4 х-1

A: Increasing interval : Interval in which graph goes upwards Decreasing interval: Interval in which…

Q: 1. f(x) = 2x+5x-3x+4 B(x) = x-2x-1 f(x) +s(x) =

A: 1. f(x) + g(x) = x5 + 2x3 + 3x2 -3x +3   2.  f(x) - g(x) = -x5 +2x3 + 7x2 - 3x +5

Q: 3. f(x) = ez* – x² – 1 (Xi = 5) ез || -

A: Here we use python to solve this problem.

Q: 19) 1+ V3 mult. 2 A) f(x)= x* – 7x' + 8x + 4 B) f(x) = x* – 4x³ + 7x² + 8x + 4 - - 3 = x* + 4x' + 8x…

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Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

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Q: f(x) =x - &r +4 g (x) = 4x – 3 h(x) =x+2 1) (+g)(x) = 2) -h)(x) = 3) (hg)(x) =…

A:

Q: 2 Find [f(x) + 5g(x)]dx if 2 |f(x)dx = 8 and / g(x)dx = -1. -4 [f(x) + 5g(x)]dx = i -4

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Q: 2 + x², -2 < x < 0 f(x)dx; f(x) TX + 2, 0<x<4 21 -2

A:

Q: 2. f(x) = x| (0, 1)

A: Given: fx=x, 0,1

Q: 1.) f(x) = x² + 2x g(x) = 2x - 3 Find (g - N(x) 2.) f(x) = 2x' + 4x + 2x + 1 9(x) = x' - x + 7x + 9…

A: Explanation of the answer is as follows

Q: d. yı = X1 X3 X1 + X2 Ya = - X1 – 3x2 – 2x3 e. yı = x1 + 2x2 + X3 Y2 = Y2 = x1 + x2 Ya = X2 + X3.

A: d)  The map from R3 to R2 is onto.  e)   The map from R3 to R3 is not onto.

Q: X1 6. ((-)- f(l)= f(0)=. f(2.5)=

A:

Q: the integration of : f(x) = - 2x+4/(x^2+1)(x^2-4).

A:

Q: 2) f(x) = {*+ 2 , -1<x<0 0 <x <1 2) f(x) = {* +? х,

A:

Q: 16) g(x) = 4x - 5 s(x) = x' + x² Find (g + f)(-2)

A: Given,      g(x)=4x-5      f(x)=x3+x2

Q: 3) Ar) = VF g(x) = V-(r + 2) – 3 4) Ax) = VF g(x) = - Vx + 3 5) Ar) = Vx g(x) = -2 Vx - 1 6) Ax) =…

A: We have to find translation

Q: 1. f(x) = 3x² – 12x + 1 at the point (0, 1) 2. f(x) = x² + 1 at the point (0,1) 3. f(x) = x² – 2x +…

A:

Q: F(x)=e^2x (3x^2-x)

A: see 2nd step

Q: 2. f(x)=x²-6x X -6x Vertex x-intercept(s)

A:

Q: y = x(arctan x)² arctan (x+ (1+x²)arctan x) А. 1+x2 arctan (2x+ (1–x²)arctan x) В. 1-x2 arctan (2x+…

A:

Q: f(x) =x² - &r+4 g (x) = 4x – 3 h(x) =x+2 1) (+g)(x)= |2) - h)(x) = 3) (hg)(x) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 5. f(x)=2(x- 2)*– 1 10 4 46 810 -10-8-6 -4-2 -2- -4 6, CO

A:

Q: f(x) = e^(-x2+x) yp = e^(-x2)

A: Y = CF +PI

Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

A:

Q: 1. f(x) =x+6r-7x 2. S)=r-7 +2* 3. F(1) (1+7t) 2x+1 4. g(x)= x-1 1-4u 5. h(u) = 1+ 3u 6. H(s) = avs+…

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Q: X - X (x -x* Y (r-F)} (x-X{r-F) Y-F 2 4 3 6. 6. Compute: X = Y = E(X-XXY-Y)- N-1 B A = Y - B*X = 2.…

A: The table is given as follows x (x-xbar) (x-xbar)^2 y (y-ybar) (y-ybar)^2 (x-xbar)*(y-ybar) 0…

Q: 1. y = - V2x +1 2. y = (x – 1)3 + 2 3. y =-1 2x

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: -2 27. The first derivative of y = is (4x+1)3 а. -24 b. 24 C. -6 d. (4x + 1)* (4x + 1)* (4x + 1)*…

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Q: 3x3+y² x²+y² .2 (x, y) ± (0; 0), ,2 ) f (x, y) = 1, (x, y) = (0; 0).

A:

Q: (2 + x², -2 <x< 0 4 f(x)dx; f(x) ={ 1 5x + 2, %3D 0 <x< 4 -2

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Q: (-x² +3, 3. f(x)={ Vx-3+1, x>2 %23

A:

Q: 2y''' - 3y'' - 3y' +2y =(e^x + e^-x)^2

A: We have to solve the differential equation  For which we first solve the homogeneous equation and…

Q: 1) f(x,y)= 2x² – 3y – 4 2) f(x, y) = (x² – 1)Xy + 2)

A: Solution :-

Q: Graphical Reasoning Use the graphs of f andf −1 to complete each table of function values.

A: Given two graphs of f and f-1, we need to complete the table. From the graph it is easy to find…

Q: f(x) = 5x -6 g(x) = 7x+ 12 h(x) 6x2 - 13x - 19 j(x) 3x2-x+ 26 k(x) = 11x – 9 m(x) = 8x2 - 13x - 34…

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Q: (-3 0 -2x + 4 f(x) = -1 if %3D -2 x

A:

Q: 1 g(x – 2) (x – 4)(x + 2) ii) 2(Vx² – x + Vx – 8) 2 iv) g(x² + 6)\F(-x) = x2(x + 1)2

A:

Q: (14) f (x,y)=e" (x² +y²)

A: f(x,y) = (x^2+y^2)e^-y fx= 2xe^-y fy= -(e^-y)(x^2+y^2)+ 2ye^-y fxx = 2e^-y fyy = (e^-y)(x^2+y^2)…

Q: |x + 2, x> 0 讨论函数f(x) = 在x=0的连续性. х — 2, х <0 -

A:

Q: -2x X-e -2x x+e * 2(x-e-2*) A -2x xp- x²+e¯ -2(x-e-2*) B x²+e =² -2x -2x e dx -2x x²+e-2r x²+e=2« D…

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Q: 19.yf(x) = 2|x – 1|; f(-2). f(0), f(¿). f(2), f(x + 1), f(x² + 2)

A:

Q: (Sx-8)3 12. g(x) = (*+3) 13. g(x) =. _(x²-s}' 14. y= 2x 15. J09=

A: Dear student,                    According to our guidelines we can answer only first question or…

Q: max z = x1 + x2 X1 + x2 < 4 X - x2 2 5 s.t. X1, X2 2 ()

A: We will solve this question from the graphical method . We will see that if the two inequality has…