1 and the domain for g(x) is a s as x-> inf, f(x) -> inf and the

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Q: e^x=3-2x

A: Given; ex=3-2x,(0,1)

Q: 4) Find the absolute maximum and absolute minimum values of f on the given interval. (a)f(x) = 3x² –…

A: Find the absolute maximum and absolute minimum values of fa) f(x)=3x2-12x+5 , 0,3 b) fx=x-lnx , 12,2…

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A: Let's find.

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Q: 3 Given the function: f(x) = (1+ x)³/2 . x - 1 Prove that it is increasing on (0, +00) analytically,…

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Q: 1. Given that x +1 2x2-1 g(x) Show that the g(x) function is continuous at a = 4.

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Q: For which x value does f (x) = x - 3x2 + 1have a local maximum. CO C-1 C 1 C -2 C 2

A: Given: The function fx=x3-3x2+1, To find: point of Local maximum

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 8e* on the interval…

A: Let the given function is  y(x)=8ex  on the interval [0, 9]

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Q: Find all critical values for f(æ) = (x – 4)°(æ – 5)*. %3D - The critical values occur at X = commas)

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Q: 1. Consider finding the root of f(x) =x´ – 5 use secant method, ɛ = 0, and start with the a interval…

A: given , f(x) =x2 - 5  we have to find roots of f(x) in interval by using secant method

Q: The domain for the function ex y = x ln(3 - x) is {x/x 3} O

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Q: 1) Find the absolute extremum values of f(x) = x² [1, 2]. – 2x + 12 over the interval

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Q: 2. Consider a ball thrown in the air (f) defined by the formula f(x) = (3 + x)^2 whose domain is the…

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Q: Find number k so that f(z) = 10x + 8 x -1 is continuous on (-0,0). O -2 4 -4

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Q: Find values of x, if any at which the given function is not continuous. SU) = x2-25

A: Hare we check whether the given function is continuous or not

Q: 4. Consider f(x) = 2x² + 3 on the closed interval I = [0, 4].

A: I have Provided this answer in step-2. i have given an only one answer because as per our policy.

Q: Find a point e satisfying the conclusion of the MVT for the function y(x) = 2e* on the interval [0,…

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Q: A Function f(x) is defined for all xr>0, and satisfies f(x2) = x3 for all x > 0.Show that f is…

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Q: 15. Given , find f- (x) = Vx+ 7 and the domain of f-1 (x). Of-" (x) = x³ +7 with domain for f-l (x)…

A: In the question we have to find inverse of the given function and domain of the function.

Q: Determine the value(s) of x such that  [ x  2  1 ] [ 2   0  -2] [ x ]                 [ 0   3  3 ]…

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Q: 9. Use the given graph of f (x) x2 to find a number 8 such that %3D if |x – 1| < 8 then |x2 – 1| <;…

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Q: , 6]. che function on this interval. 1/sqrtx ow there exists a c in the open interval (2, 6) such tl

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Q: 4. Given g(x)= and h(x)= Vx-4, find (goh)(x) and write its domain in interval 5-x %3D notation.

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Q: Find all critical points of the function  f(x)=x^(3)+4x^(2)−5x+6. If there is more than one…

A:

Q: 1) Find the absolute extremum values of f(x)=x2-4x+20f(x)%3DX2-4x+20 over the interval [1,4][1,4].

A: The extrema value of  function is f(4)=20

Q: f(x) = In (1+x³)

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Q: 9. Find the local and absolute extreme values on k(x)=(x-2)° +3 on | the interval [0,5].

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Q: 3. Let f (x) = x ² + 8x + 14. Find all the values interral C-G ,2) such that f (c) = 0 of ċ in the

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Q: The function f(x) = (6x + 3)e-6a has one critical number. Find it.

A: Given: f(x) = 6x + 3 e-6x To find: Critical number  Proof: We will differentiate the function w.r.t…

Q: Find the absolute maximum and absolute minimum of f(z) = +z - 48z over the interval (4, 8).

A: We have to find the absolute maximum and absolute minimum for the function f(x)=x33+x2-48x over the…

Q: g(x) = x' + 3 x² – 24 x

A: The point x=k is said to be the critical point of the function f(x) if Case 1 : f(k) exists and…

Q: 84. Let f(x) = x' +3x² - 24x + 1 and g(x) =x' + 6x² - 36x + 1 . For what value(s) of x do both f(x)…

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Q: Find k such that F(x)=x^3-kx^2+kx+44 has the factor x-4

A: To find k such that F(x)=x3-kx2+kx+44 has the factor x-4.

Q: 11. Suppose that f(x) is differentiable everywhere and we know that f(-4) f'(x) > 6 for all x. = -2…

A: Given, fx is differentiable everywhere. f-4=-2 f'x≥6, for all x dydx≥6, for all x  dy≥6dx…

Q: nd all the critical points of the function f(x)= ={ x² 23 if x<1 if x ≥ 1

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Q: Let g(x) = x². Which of the following outputs of g is not guaranteed by the Intermediate Value…

A:

Q: 3 - x, x<2 Q.No.15: Is f(x) = {+2 x22 continuous at every x € R. x+1 xs1 -.

A: Continuity of a function.

Q: The function f(x)=(a-x)2/3 has domain R and only one critical point x= a. Use a number line to find…

A:

Q: 5. Find the absolute maxima or minima for f(x) = x² + 8x + 3 over the open interval (-o, 0).

A:

Q: The function f(x) = (6x + 9)e-6z has one critical number. Find it.

A:

Q: find the value of ( ƒ ∘ g)' at the given value of x. ƒ(u) = 1 - 1/u, u = g(x) = 1/1 - x, x = -1

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Q: If ø(x) =(x)+ f(1-x) and f"(x)<0 for all x e increasing in [0,1/2] and decreasing in (1/2,1].…

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Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 2e* on the interval…

A: Solution: The objective is to find a point c

Q: 5. Determine the Wronskian of the functions (x)=x2 and g(x)=3x2. For what values of x is the…

A: Please refer to the image below

Q: 5. Find the domain of the function: y = In () x-4

A: y=lnx-1x-4

Q: 1) Find the absolute extremum values of f(x) = x² – 4x + 8 over the interval [1, 4].

A: f(x) = x2 – 4x + 8