The wronskian of functions f and g is 3e4t ve f=e2t . According to this what is function g ?

Q: f,(x)= e* f2(x)=e¯* (x) = e'

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Q: Find the Wronskian for the set of functions.{x, e−x, ex}

A: Find the Wronskian for the set of functions.

Q: a. Find the value of (k) that make fhe fimction contimuous at x = 0 3k -3 =0

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Q: 3. Describe the interval(s) on which the function is continuous. c) S(x)= x-1 2, x= 1

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Q: Find the Wronskian for the set of functions.{x, sin x, cos x}

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Q: 4. Let S = {x EN|3z ENA z? = x)). Let f : N → Sbe the function f(x) = x². Is f 1-1? Onto? Show why.

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A: ddkcosh-11+k2

Q: (2) The real part of Syy (@) and the real part of Syx (@) are even functions of o, i.e., Re[Sy (@)]…

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Q: (b). Show that iff= u+iv is analytic in a region S and u is a constant function (i.e., independent…

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Q: ctions from is injective. а. f(п)— п-1 b. f(n)=n² +1 c. f(n)=n³ /hich functions in Question 4 are…

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Q: The graph of f(x)= x2 - 1 is concave down on interval | (-1,1) ^O (0,1) BO (-1,0) U (1, ∞ )co (- 00…

A: From the given problem:   fx=xx2-1   As we know that for concave downward:   f''x<0   So,…

Q: Find the Wronskian for the set of functions.{x, ex, sin x, cos x}

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Q: A function f: Z x Z is defined as f(m, n) = 3n - 4m.  Verify whether this function is injective and…

A: f: Z x Z is defined as f(m, n) = 3n - 4m So, f(m, n) = f(a, b) implies, 3n - 4m = 3b - 4a i.e. 3(n…

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A: We know that the critical points of a function are those points at which the first derivative is…

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Q: The function f(x) =x + 1/x is concave upward on none O (-1) O (0,) O (0,1) O (1,)

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Q: 8 Examine holomorphism of given function  f(z) = |z|2

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Q: Let A(r) =| f(t)dt where f is the function given by the graph below. 4+ -2 -3 А(2) - А (2) - in en

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Q: 4. If continuous function f:[0,1] U (2,3) → R is one-to-one, is f also continuous? 1

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Q: 3. Define f(2) in a way that extends f(s) = -8 to be continuous at s = 2. s2 – 4

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Q: Find the Wronskian for the set of functions.{ex, e−x}

A: Given set of functions ,f1=ex & f2=e-x

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Q: Find aland U so that the function S 7z³ – 3x² + 7, z -2 is both continuous and differentiable. al =

A: To Determine: fins a and b so that the function is continuous and differentiable given: we have a…

Q: he graph of f(x) - x+1 is concave down on interval OA (-1,1) Ов. (0,1) Os. (-m 0LI(? m)

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Q: Which of the following tatements is true about a mooth function f at (a, b) it ² (a, b) c, fax (a,…

A: f has relative maxima at (a, b) if D>0, fxx(a,b)<0 f has relative minima at (a, b) if D>0,…

Q: The domain of the function g(t) = vt – 6 is O R-{6} O R O [6, 0) O (6, 0) O (-∞, –6)

A: for the domain of g(t)  The term of square root should be non negative

Q: 13. Let g be defined by V7x +2 V6x + 4 | g(x) = if x 2 - and x 2 x – 2 k , if x = 2 For what value…

A: The given functiong(x)=7x+2-6x+4x-2,if x≥-27 and x≠2k,if x=2

Q: Show that f (a) = is Libschitz function on r+ 2

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Q: Q3: a) Let f : Z → Z be such that f(x) = Vx² – x + 1. If invertible, and if it is, what is its -…

A: the function is invertible if its one -one and onto. The function is one - one if f(x1)=f(x2)…

Q: Find a function f ( x) such that 5+ f(t) -dt = 4/x for and some number a а.

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Q: Find the Wronskian for the set of functions.{x, −sin x}

A: Given:  f(x1)=x and f(x2)=(-sinx ) The wronskian is given by the following determinant:

Q: Suppose f is a bounded real function on [a, b), and f' eR on [a, b). Does it follow that fe R? Does…

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Q: O Show that the function f: N2 N defined by f(x, y) = 2X3Y is injective but not surjective.

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Q: Find the Wronskian of the given pair of functions: x, xe* O xe* O x O et

A: The solution is given as

Q: The föllowing function is differentiable at all x except at: a-1 cod x=2 b=-1 and x=2

A: To solve the following problem

Q: Find the Wronskian for the set of functions.{e−x, xe−x, (x + 3)e−x}

A: To Find theWronskianfor the set of functions. {e-x,xe-x,(x+3)e-x}

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A: A complex number is an element of a number system that contains the real numbers and a specific…

Q: Let f(x) = 2 cosh(4x) – e4x %3D Find the absolute maximum of f(x) on the interval [0, In 3].

A: The given function is                                         f(x)=2 cosh(4x)-e-4x We know that…

Q: 2. Suppose that f is a measurable function satisfying m{r ER: |f (x)| > n} ) < 1 nEN. n3 Is f…

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Q: Find the Wronskian of the set of functions {e*,e® sin(x)}.

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