0, x<0, If X has the CDF F(x)= 64 0Sx<4, 1, x>4. then P(2

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A:

Q: Find the critical number(s) of f(x) = sin x + cos(x) on the interval [0, 27].

A: i have solved question1 for next question please repost.

Q: 21 Solve in terms of Besselis Function, 2 11 the ODE: x² + xy + (x³²+ =)=0 let Z=Lnx

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Q: Find the integration inner product on C[-4, 2] of the given functions. f(x) = 20x g(x) = 3x3 %3|…

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Q: EXAMPLE 7 If it is known that f(x) dx = 12 and f(x) dx = 10, find f(x) dx. SOLUTION By a property of…

A: We have to solve

Q: Use the Mean Value Theorem to show that f(r) = 2x sinh(r – 1) +2" – r has a critical number between…

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Q: Let f(x) = (7+ 3x)* f(x) has one critical value at A = For x A, f(x) is Select an answer v

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Q: What is the general solution of the following ODE y' - (2y/x) = 3x3 Hint: Use integration factor…

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Q: 2 Evaluate the integral S (3x³ – 2x² + x) dx. 1

A: We solve it by integrating polynomial

Q: 1 Integrate with respect to x. 4+ 25(3x +1)²

A:

Q: Show that (0, 0) is a critical point of f(x, y) = x² + kxy+y² no matter what value the constant k…

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Q: 1. Find the root of f(x)=x²+2x²-5x-6, using the initial guesses of x₁ = -4.5 x=-1.0 and a…

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

Q: 5. Suppose that f (x) dx = = 5, f (x) dx = -3, g(x) dx = -1, and g(x) dx = 2. Compute | (2f(2) –…

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Q: For z > 0, 옮(1 In (t³ + 1) dt A) In (x³ + 1) B) In (8z³ + 1) c) 2 In (z³ + 1) 2 In (z² + 1) D) 2 In…

A: Solution: Consider the given that; ddx∫02xlnt3+1dt We have Leibnitz Rule: ddx∫a(x)b(x)f(x,t)dt =…

Q: The critical number(s) of f(r) = (x+ 1)/3 is (are)

A: Given,        The critical numbers of fx=x+113

Q: 1. Find the root of: f(x) = e^x - 4x^2. Newton Raphson Method %3! Initial estimate : 1 Stopping…

A: We are entitled to solve only one question at a time so we will answer only the first question.…

Q: Show that (0, 0) is a critical point of ƒ(x, y) = x2 + kxy + y2 no matter what value the constant k…

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Q: Find extreme value(s) of z = 2x¡ + x,xX2 + 4x3 + x,x2 + x} + 2

A: Consider the provided question, According to you we need to solve only part (d). (d)

Q: Let f(x) = (7 – 2x)" f(x) has one critical value at A = For x A, f(x) is Select an answer

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Q: (2x+4) + 1 x² +2x- 10 dx = x² (x² + 4x +5) (2x +4) +1) dx- x² + 4x+5, Consider dx evaluate | x² + 4x…

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Q: Let f(x) = 16 ln( – x) + 4x + 13. (a) f'(x) = (b) Solve f'(x) = 0 to determine the critical values…

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Q: the integral S(x³ – 2x – 1)e-*+1dx is equal to:

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Q: 9. The value of ¹₁ O True False [Tn (x)]² dx = 0, for each Chebyshev polynomial T₁(x), n > 0.

A:

Q: The integral of the given function | sin 9x cos 4x dx is equal. .... 13 cos(5x) — 5 сos(13x) А. + C…

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Q: 4Vo Find the critical points of S(x) = x² +

A: Given Sx=x2+4V0x

Q: e. y= (x² + 4)/x in the interval 1<x<4. 8+ 4ln4 - % s.u ans.

A:

Q: The function f(x) = X = (6x 3) e5 has one critical number. Find it.

A: Given function ,   f(x)=(6x-3)e5x

Q: Find the largest interval on which the LV.P (x +(4) x -5) y" + sin(x) y' + y =0, y(0)= 3, y'(0)=4…

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Q: 2. Use the linear approximation of f(x) = x² ln(x + 1) to estimate (1.01)² ln(2.01).

A: We need to estimate value.

Q: Find the critical numbers of the function. b) g(x) = |2x + 3|| c) f(e) = 2 cos 0 + sin2 0 d) f(x) =…

A: gx=2x+3 fθ=2cosθ+sin2θ fx=x lnx

Q: 1. Use integration by parts to prove the reduction formula S(Inx)" dx = x(lnx)" – n S(Inx)"-1dx. %3D

A:

Q: 4. Prove that if f(x) = agx" + a,x"-1 +..+ an-1x = 0 has a positive root x = xo, then the equation…

A: Note that f0=0 and that fx0=0. So using mean value theorem there must be some 0&lt;λ&lt;x0:…

Q: 2. Given f(x) = x' + ax² + bx has critical numbers at x=1 and x=3, find a and b. .2

A:

Q: Find the x values of the two critical points of: 3(x- 1)23 6x – x² - 5 if x > 2. if x < 2 f(x)%3D X…

A: we have the given function is ;  f(x)=3(x-1)2/3if x≤26x-x2-5if x&gt;2

Q: | 45. Apply integration to the expansion 00 =E(-1)"x" = 1- x+x – x +.. 1+x n=0 to prove that for -1…

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Q: One of the critical points of f (x,y) = x3 - 5y2 + 10y-27x is: O (1,-1) O (3,1) None of these O…

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Q: (6) Find the indefinite integral (af* -3x +2 Fdx x+1 12x - 22x (bJ -dx 3x* -11x +15 x² + 2x +3 -dx…

A: Note: As per companys policy we should do maximum 3 subparts of a question.So, kindly post the other…

Q: The critical Points of f(x, y) - x' -3x +3y2-6y are: None of these O (1,1) and (-1,1). O (01) and…

A: We will find the first order partial derivatives of f and equate them to 0 to find the critical…

Q: −x^2+x+6 has root(s) at x=

A: To find the roots of the given equation.

Q: Find the integration inner product on C[-4, 3] of the given functions. f(x) = 16x g(x) = 2x?

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Q: 6. Evaluate the integral dx (4x2 + 1)(x² + 4)

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Q: The critical Points of f (x, y) = x³ - 3x +3y2 -6y are: O (-1,1) and (1,1) O (1,1) and (1,1) O None…

A: It is given that, f(x, y)=x3-3x+3y2-6y   Critical points of 2 variable function are the point where…

Q: 8. The value of the integral 2[x] 1o sulsV ar 3x-[x] dx, where [] denotes the greatest integer 2[x]…

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Q: 19. f(x. y) In(1 - x - y) %3D

A: As per our company guidelines we are supposed to answer only the first question that you have…

Q: (4.4) For #27-28, find the value of c guaranteed by the Mean Value Theorem for Integrals. 27. f (x)=…

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Q: -X +7 Evaluate the integral: dx (x-2)(x+3) In x - 2|+2 1n x +3 +C 2 In |x – 2| – 2 In |x + 3|+C 2…

A: First of all we will do partial fraction, then we will evaluate the integral.

Q: One of the critical points of f(x,y) = x³ – 5y² + 10y – 27x is: O (1,-1) O (3,1) O (3,-1) None of…

A: Necessary Condition for Critical Point: A necessary condition for x, y to be a critical point of the…

Q: x2/3 is (are) The critical number(s) of f(x x – 1

A:

Q: 10 Evaluate the integral f 2x (x2 + 4) " dx using the substitution u = x² + 4. 2x (x² + 4)*" dx =|…

A: The given integral ∫2xx2+410dx

Q: Find the integration inner product on C[-3,3] of the given functions. f(x) = 16x g(x) = 3x² (f, g)…

A: Explanation of the answer is as follows