Q2// Find the optimal point from th nathematical model (by Big-M methods) xZ-150 x+110x)+280 x; x3 S20 と80 X2 S120 Xi, x, x3 20

Q: If a zero has an even multiplicity what happens at the X intercept?

A: Given query is to provide the information about multiplicity of zero and intercept.

Q: Given P(A^c-complement)=0.40, P(B) =0.40, P(AUB)=0.75, P(A)= 0.60, P(B^c)=0.75 Find P((AnB)^c)

A: Additional Law of Probability gives P( A ∪ B ) =P(A) + P(B) - P(A∩B)

Q: find vertex of V 2x2 +8x+6

A: vertex form is  y=a(x−h)2+k Vertex is (h,k)

Q: Determine the vertex- f( x)= x^2 +4x +3 O (2-1) (-2, -1) O (3,-1) O (1,-2)

A: given equation of parabola f(x)=x2+4x+3 we know vertex is the maximum of minimum of a parabola,…

Q: f(x)=2x^(2)-16x+34 write in vertex form.

A: Given that ,write in vertex form.

Q: Where is optimization often applied and what is its importance?

A: Solution:Optimization:Optimization methods are used in many areas of study to find solutions that…

Q: x² +25 D)+ Xx Evaluate the following integral f (6) A) 4 Inx-21-In/x+31+ C C) 4 Inx-31-In/x+21+ C…

A: We use partial fractions to solve the given integral.

Q: Q(x) = -2x^2 - 4x +3 Complete the square to find standard form (vertex form)

A:

Q: 240 240 200 200 A 160 160 120 120 OB 08 40 40 0. 40 -6 5 4 3 -2 -1 0 1 2 3 4 5 6 -40 6 -5 4 3 -2 -1…

A: The graph of the quadratic function : y = 4x² is, Option (A)

Q: (x^2+9x+20)/(x+5)  find the range and hole   (x^2-9)/(x+3) find the range

A: Consider the given function as, fx=x2+9x+20x+5

Q: A square root function passes through the point (16,-21) and has a y-intercept of -29 and a maximum…

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Q: Find the absolute max or min for (x+1)(x^2-4)

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Q: f(x) = 3x^3 + 9x^2 + x + 3 Find all possible zeros

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Q: (5) The form of the partial fraction decomposition of f(x) B C A) С + x-2 B x² +25 CX+F x²+25 C)+…

A: To determine the form of the partial fraction decomposition  of fx=11x4-2x3-4x2+5xx-2x2+252. Note:…

Q: Given the function C(n) = 3n+24n³ +36n² its C-intercept is (0,0) its n-intercepts are 0,-2,-6…

A: Given:  Cn=3n4+24n3+36n2 To Find: The C-intercept and n-intercepts=?

Q: Where does (x-3)/(x^2 -6x+9) have a removable discontinuity?

A:

Q: What is the sum of a and b in the equation f(x) = 2ax^2 + bx + 3 if a relative extremum point must…

A: given  f(x)=2ax2+bx+3given  f(x) is a relative  maximum at (-1,2)  there for  f(-1)=2

Q: Write p(x) = 3x^(5) - x^(3) + 5x^(2) - 1 in the form of nested multiplication. Compare the…

A: Given function px=3x5-x3+5x2-1 (i) Write in nested multiplication form. (ii) Compare with the naive…

Q: find the remainder f(x)= 2x^4-3x^3-8x+8 when devided by x-2 with showing full steps

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Q: graph r(x) = 2x^2+10x-12/x^2+x-6 show all intercepts asymtotes and holes if any

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Q: f(x) = = x²-7x-8 x-4 For each entry, enter a single number. First Number: The smallest x-intercept…

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Q: What are the zeros and the multiplicity of f(x)= x^3-20x^2+100x

A: We need to find the zeroes and their multiplicity for the function f(x)=x3-20x2+100x means we need…

Q: Suppose f(x)=-16002x^4+3201x^3-20578x^2+4017x+15 a.What is the “end behavior” of this function?…

A: Consider the function: a) End Behaviour: fx=−16002x4+3201x3−20578x2+4017x+15 When x goes to infinity…

Q: If w = (4x-8y)(-3x+5y) , find Wxy at point (2,1) ху

A: Given that, the function w = 4x-8y-3x+5y To find the Wxy at point (2, 1)

Q: The rule of f is to divide the product of the input and 14 by two, then subtract seven halves. * 1…

A: Given  The rule of f is to divide the product of the input and 14 by two, then subtract seven…

Q: The graph of y-x) has rule of the form x) = a(x+ b)+2. Find he values of a and b. (3, 8) (2, 2)

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Q: Describe the end behavior ofp(x)=7x^5+15x^4+16x^3-11x^2+9x+20

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Q: which polynominal function has zeros at -3, 0 and 4  1. ( x+3) (X^2+4) 2. (X^2-3) (x^2-4) 3.…

A: Given: The polynomial function has zeros at -3,0 and 4 1.x+3x2+42.x2-3x2-43.xx+3x-44.xx-3x+4

Q: The sum of f(x)=9x^2+2x+8fx=9x2+2x+8 and g(x)=7x+4gx=7x+4 is?

A:

Q: 6s? – 13s + 2 F(s) = s(s – 1)(s – 6)

A: It is known that: L-1ks=kL-1ks-a=keatL-1a·fs+b·gs=a·L-1fs+b·L-1gs

Q: (1) f(4x³-9x² + 7x + 3)ex. dx = A) e *[4x³ + 3x² + 13x + 16) + C B) -e [4x³ + 3x² + 13x + 16] + C C)…

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Q: Graph the function  f(x)= -2x^3 + 4x^2 + 2x - 4 Please name any x-intercepts and y-intercepts in…

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