4. What function is y = x3 + 2r + 1? * O A. Linear Function O B. Polynomial Function C. Quadratic Function O D. Rational Function

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Q: Calculate M6 for f(x) = v2x over [2, 5].

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Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

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Q: The function f(x) = 2x? – 332? + 144x – 10 has two critical numbers. The smaller one is æ = and the…

A: Please refer the attached image for complete solution.

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A: Given,  fx,y=kx2+k-1y2+12xy Using second-order partial derivative, check for maxima and minima.

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A: minimum cost

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Q: 8. What is the minimum point of the given function y = x² – 6x + 10? B. k = -3 A. k = -1 C. k = 1 D.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 13 - What is derivation of f(x) = (2x2 –x + 1)3 at %3D Xo =1 ? a) O 25 b) 36 030 c) 16 d) 9.

A: What is derivation of f(x) = (2x2 -x+1) 3 at xo =1

Q: Show that a cubic function f (x) = x3 + ax2 + bx + c is increasing on (−∞,∞) if b > a2/3.

A: Given function is: fx=x3+ax2+bx+c Then we get, f'x=3x2+2ax+b

Q: 2. Calculate the point(s) of intersection of f(x) = 2x² + 4x – 11 and g(x) = -3x + 4.

A: Given f(x) = 2x2 + 4x - 11 and g(x) = -3x + 4

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Q: a) If y = 3x – 2, x = 3t + 2, and t = 3k – 2, find b) Express y as a function of k ify = 2x + 5, x…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: Suppose z is implicitly defined as a function of x, y, by means of the equation: z4+8zx=3x2+12y2…

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Q: The domain of the function f(x, y) = In(2 – /x2 + y? ) is: x2 + y? 4

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Q: 3.) Give the coordinates of any points of inflection. f(x) = x³ + x² – x +1

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Q: 2-→ Find-the-residues-of-the-function-at-its-poles F1:(z) = (2-z-+3):/(z²-4)¶

A: We need to find the residues of the function F1(z)=(2x+3)/(z2-4) at its poles.

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Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

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Q: At which integer value of x are the functions y + 12 and y = A closest to being equal?

A: solve the above question by two type: 1) Graphically:

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Q: applications of differentiation/optimization problem - calculus

A: Keeping E and r fixed, we need to maximize the power given by the expression,

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Q: Express the follo lowest form +4 a 2 1-3x S+x

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Q: 12. If f(x) is a non-constant linear fucntion and g(x) is a quadratic function, then what type of…

A: f(x) is linear function so f(x) can be expressed as  f(x)=ax+b, where a≠0 and b are constants. g(x)…

Q: Q 4. (a). Show that fog = 4x² – 1, if f(x) = 4x – 5 and g(x) = x² + 1.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: C. Graf the function of y-5x" if n=3 1. O 1 O 2 2. yax' LEVIC

A: Given data Graph the function y=5xn Where , n=3

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Q: Find the critical number of the function. g(t) - | 2t - 5| t =

A: Given,    g(t) = | 2t-5 |   For critical points,  Make modulus to zero.    So,  2t - 5 = 0 t = 5/2

Q: Q14- If f(x,y) = 2xy - x² Iny- 2y² + 3x + 4, then axy is : for the function

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Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

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Q: -8x Since f'(x) then (x2 - 4)2' (x? – 4)>(D) - (-8x)[2cx? – 4)(Ox)] _ 8 x2 f"(x) (x2 (y2

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Q: 1. What linear function,  y has f(0) = 8 and  f(7) = 14?

A: Linear function

Q: 16. Let f(x) = x² + 10x + 28 m, find m if the function only has 1 (ONE) x-intercept. -

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Q: 7. Find f'(x) for the function f (x) = V-3x4 – 2

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Q: Q1. Determine whether this is a quadratic spline function T € (-00, 1] f(x) = {-(2 – x)² + T € [1,2]…

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Q: Suppose z is a function of x and y, and z^xe^6y=y2+x2. Solve for ∂z/∂x and ∂z/∂y. [b]

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A: The domain of a function is the set of values for which the function is defined. To find the maximum…

Q: For what value of x does  function g(x)= (-1/3)x^2+2x^2 convex?

A: please see the next step for solution

Q: The total cost C(x), in dollars, of producing x items is given by C(x) - 0.01x - 0.6x + 13x. What is…

A: Given that     The total cost C(x), in dollars, of producing x items is given by C(x)=…

Q: In(x² + y² – 9) V25 – x2 – y? - Sketch the domain of f(x, y) -

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…