x<-2) - 2< x<4 -5, g(x) = %3D 2 x-4, x > 4) g(7) = g(4) = g(-28) = %3D g(-2) =

Q: The fuel economy (in miles per gallon) of a certain car is E(x) = −0.01x2 + 0.68x +10.4,where x is…

A:

Q: (a) g(x) 2 f(x) (b) f(x) > g(x) 12 (x) (2.4) (a) The solution to g(x) > f(x) is-

A:

Q: The domain and range of y =-+6 are: x-3 (r eR|**-3} {x e R|x + 3} c) {y eR|y+ -6} a) b) {v ER|y + 6}…

A:

Q: 3. f(x)=-5sin ax+- 江x- +2 2

A:

Q: X1[n]= {1,-1, 1} X2[n]={2, -1,1} Find convolution using: Graphical method • Tabular Method…

A: The convolution sum:                    yn = xn * hn = ∑k=-∞∞xkhn-k

Q: 4. f( x)=2x'+7x-4 Vertex x-intercept(s) 5. f(x)=16x-64 Vertex x-intercept(s)

A:

Q: X1[n]= {-1, 2,0,1} X2[n]={3,1,0, -1} Find convolution using: • Graphical method

A: given X1n=-1,2,0,1X2n=3,1,0,-1 to find the convolution 1) using graphical method yn=x1n*x2n where…

Q: 22 -3x+2 Let h(x) = what is h' (-5)? -x2 -4x+4'

A: Given,          hx=x2-3x+2-x2-4x+4

Q: (-*+3 2. g(x) = {1x – 1|| (3(x – 2)² + 1 - 3 < x < 2 x 2 2 Domain: 21 Range: 1 -6 -5 -4 -3 -2 -1 0 2…

A:

Q: 8. f(x) =x' -2x -7x-4 A) -1 (multiplicity of 2), 4 C) -4, 1 (multiplicity of 2) B) -4, 2…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. f(x)=x-4x Vertex x-intercept(s)

A:

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: fin) general solution ODE order 3x -hy-2 3x-4y-2

A:

Q: minimize z = 3x1 + 9x2 -5x1 + 2x2 0.

A:

Q: 2. f(x) = Sx + 2 Solution: Domain Range 3. f (x) = Solution: Domain Range - SK) = x² +2 Solution:…

A:

Q: Energy consumption in a particular country in quadrillion BTUS can be modeled by C(x)= -0.014x…

A: a) Given:  One of the solution to the equation c(x) 89.258 = -0.014x2 + 1.295x + 68.958 is x = 20

Q: d the solution set for the E x2 + 4x = 2 2x2 - 8x - 1= 0 4x2 + 2x = -2x-1 x2 – 4x + 7 = 2 x2 -x = -7…

A: There are multiple question. as per company policy kindly ask other question separately. formula…

Q: G(-2) if g(x) = -x^2 + 4x + 1

A:

Q: Elimination of arbitrary constant y = 2x - c1e-x - c2ex

A: The given solution to the DE is: y=2x-c1e-x-c2ex             .......(1) Now differentiate the above…

Q: A business determines P(40) = 3000, %3D P'(x)0 where P(x) is the profit in thousands of dollars at a…

A:

Q: 1. f(x) = Vzx5+1 (-2x²–5)–4 Solution (– 2x² – 5)-+ (2x5 + 1) 10x* – (2x5 + 1)*(4)(-2x² – 5)-$( – 4x)…

A: we have to find derivative and errors

Q: g(x) =   5x + 1      find g-1(x)                2x - 6

A: Given gx=5x+12x-6 To find g-1x:

Q: f(x)= x^2-4x g(x)= x^2+3x+8

A:

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: Iteration method anx-x-2=0

A: The following steps are used to find the numerical solution of the equation fx=0 by the fixed point…

Q: 2-6s 5. F(s) = 2s2-5 6. F(s) = 3(s+ 2)-1 + 3(s + 2)-1

A: Introduction: The inverse Laplace transformation is the process to find the function ft such that…

Q: 1. Long division Solution: - X-1 x3 - 3x2 + x- 1 M Remainder: X-2 AMOO Quotient: x3-2x2 - x2 notour…

A:

Q: h(x) = x 2- 2x g(x) = 2x - 5 Find h(-2) - g(-2)

A:

Q: 2. GIVEN g(x) = / x³-3x² + 3x-1/. FIND g (-4)

A: Formula: (a-b)3=a3+3a2(-b)+3a(-b)2+(-b)3 (a-b)3=a3-3a2b+3ab2-b3.

Q: X-2 9) f(x) = %3D x2 - x - 30

A:

Q: a) An increase of 1 in x, leads to a change in y of b) An increase of 2 in x, leads to a change in y…

A: Regression Line y = 21 + 10x1 -4x2 +2.9x3 +e

Q: 4X₁ +3X₂-X₁ A₁ X₂+7X3 8 and μ₂ Which of these two estimators are better? Why? Justify your reason.

A: Given μ1^=(X2+7X3)/8  μ2^=(4X1+3X2-X1)/6 Given X1, X2,...Xn are independent random variable.

Q: f4) = (/4x² +8 - x²)* (8x + 4x)V4x2 + 8 - 24x - 32x V4x2 +8 If then f'(x) =

A:

Q: ² -9, x 3 3. f(x) = {2-x, -2 2

A: 2. Given, The function f(x)=x2-9,    x&lt;33,            x=39-x2,     x&gt;3 Clearly function is…

Q: 8- 7- 6- 3- 2- 2- híx) g(x) 3 X-values 4. 5. 3. Tvalues If f(x) = g(h(x)), then f'(1) =

A:

Q: h(x)=-x+3 g(x)=-x 2 +3x Find h(-3) + g(-3)

A:

Q: 4. f(x) = a = 0 x2-4x %3D x2+4x x?-3,xミ-1 5. f(x) = {x- 1, x>-1 こa=-1 %3D

A:

Q: f(x)= -4x g(x)=3x-2 h(x)=x^2-6x. solve: f(x)+g(x)

A: To find the f(x)+g(x)

Q: 3| 2 x = y - 1 y = 1 x = e -3 -1 1 2 3 4 y = -1 -2 -3

A: Given region is

Q: f)-\2+1 x>-5 3x-2 xS-5 find f(-5) and f(3). x +1 x>-5

A: For f(-5)    at x=-5  first function is given so put x=-5  in first function. And for f(3)   it…

Q: g(x)=3x-4g(x)=3x−4, find g(1)g(1).

A: we will do simple calculation

Q: x² - 4 x2

A: Consider the given piecewise function

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

Q: f(x)=4x-3, g(x)=x+4, (f+g)(x)=

A:

Q: F(x)=1/3x^3-1/2x^2-12x+4 Domain [-4,5] F’(x)=x^2-x-12

A: To find the correct option

Q: g(x) = x - 4 and h(x) = x2 + 3

A: Let two functions g(x) and h(x) are given, then their composition (hog)(x) is given by, (hog)(x)=…

Q: 5- y= g(x) 4- 3+ 2+ 1- 4 5 6 7 8 9 10 I1 12

A: topic-functions domain is the values of x for which function is defined range is the values obtained…

Q: Sx² +2, x 1' 7. If g(x) = then g'(1) is

A: x2+2 must be chosen since x in g'(x) is 1.

Q: The solution to -x(x-4)² ≤0 is:   A. x ≥ 0 b. x ≤ 0, x = 4 c. x ≤ 0, x ≥ 4 D. x ≤ 4

A: