A clamped cubic spline S for a function f is defined by 5 5 + 2(x – 5) + (x – 5)² – 2(x – 5)³ S(x) = la + b(x – 6) + c(x – 6)² + d(x – 6)³ 6

Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: Let f(z) = 4r- 12x +7 then f(r) is decreasing on Select one: O a (-00, -1), [12, o0) Ob [1,0) O…

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Q: Show that 1/2 is an eventually fixed point for

A: T22 or T12 That can be proved as it will have the 12 in the equation, for any fixed point .

Q: Find the domains of h(x)=1/(x3+1)1/3.

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Q: Find the residues of a function 1 f(z) 3 (z − 2)(z + 1)³

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Q: A1). Sketch the graph of ONE function such that ALL of the following hold: i). f"(x) 0 for x> 2…

A: Graph of function

Q: ( 2x +7 x<1 10-5x x21' 5. For the function defined by f(x)= , which of the following represents the…

A: Given function is f(x)

Q: 5. Lif f(x) = x3 + ax? + bx + c, determine the values of a, b, and c if f(x) switches from concave…

A: Given: f(x)=x3+ax2+bx+c Differentiate the function. f'(x)=ddxx3+ax2+bx+c=3x2+2ax+b Differentiate…

Q: Q: Let f: R→R be given by f(x)= x +3 Find (a){x: f(x)= 28} (b) The pre-image of 39 and 2 under f.

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Q: The point (3, 7) is a

A: Follow the procedure given below.

Q: Calculate the extremum point of below function and Classify it f(x) = 4 x³ + 2 v11 – x + x?

A: It is given that fx=4x3+211-x+x2. We have to find the local maximum and local minimum points of the…

Q: 3. Find algebraically the zeros for f (x) = x - 4x 9x + 36x %3D

A: Given function

Q: Q.1 Find all values of x, at which f is continuous and discontinuous. x²-9 f(x) = x-3

A: 1. Given function is, f(x)=x2-9x-3=(x+3)(x-3)(x-3)=x+3 As, the function is a polynomial function and…

Q: 2 2x +1 Let f(x) =- |- log, (x² + + 1) • (b* - 5b +3)x +c. If f(x)isa tan decreasing function of x…

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Q: Find all the asymptotes of y -8xy +15x +13x – 3y+ 2=0.

A: Given equation is  y2-8xy+15x2+13x-3y+2=0