Suppose that f is a function such that f' (c) = 1 for some number c in the interval [a, b]. Is it possible for f (c) to be an absolute extremum on [a, b]?

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Q: 7. Find the Upper Bound (UB) and Lower Bound (LB) for f (x) = x' – 3x + 24. a. Unbounded. b. LB =-3;...

A: It is given that,                      fx = x5-3x3+24 For any real number c ; Consider,   fx = c Tha...

Q: (2) Use Stoke's theorem to evaluate the integral curl F. dS where S is the surface given by 2= e4-r-...

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Q: Vn an = 1 – n!

A: This is a problem of sequence.

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Q: y" +y = 3 et/2) y(0) = 4 y(0) = 3

A: Second order non Homogeneous differential equation

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Q: Which of the following is not the equivalent of the statement "All universities are institutions."? ...

A: We can solve this by using given information

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Q: Enter each answer as a whole number (like -4, 0, or 253) or D

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Q: 2y + 5z - 3w = 16 2x + 3y + 3z + 4w = 110 2x + 5y -3z + 4w = 74 -x+ 4y + 5z - 2w = 30

A: We will reduce the system in echelon form by using row operations.

Q: 1. Fibonacci Numbers Recall that the Fibonacci numbers f(n) can be be defined recursively by letting...

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Q: 1. Use the Monotone Convergence Theorem to show that the sequence {an} converges, where an = 1- п! f...

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Q: 3. Sketch one cycle of the following trigonometric function: y = -2 sin(3x +90°)

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Q: 34. Let f(x) = x for x rational and f(x) = 0 for x irrational. %3D (a) Compute L(f, P) for all parti...

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Q: Recall, from Problem 14, that f 2 0 if f(x) > 0 for all x in [a, b]. (a) Give an example where f(x) ...

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Q: 5. Solve the following equation for x. (4x+ 18) = 3x +4 6. If f(x) = x? - 1 and gx) - 3x + 10, what ...

A: 5.  12  ( 4x + 18 ) = 3x + 4⇒ 4x + 18 = 6x + 8 ⇒ 2x = 10⇒ x = 5

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Q: If a and b are complex numbers, prove that |a+b|<\a|+\b| .

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Q: Solve y" + 10y' + 25y = 0, y(0) = 4, y'(0) = – 17 %3| y(t) =

A: We have to find the solution of differential equation.

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Q: (xy2+x2)dy+ydx=0

A: As per the company rule, we are supposed to solve one problem. Therefore kindly repost the remaining...

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A: This is a problem of the system of the differential equations.

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A: Solution

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Q: 5. Solve the following equation for x. (4x+ 18) = 3x +4 6. If f(x) = x? - 1 and gx) = 3x + 10, what ...

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Q: Question 32 Given a universal set containing prime numbers between -20 and 20 and composite numbers ...

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Q: dr For Tatx')(xtan-"(x) + 1) -=In(F(x)) +C. What is F(/3) if C=0? A B -15 -15

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Q: PROVE THE FOLOWING: PROVE thtAT IF AND ONLY %3D IF is REAL

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Q: 2. Find all solutions of each of the following linear congruences. a) 3x =2 (mod 7) c) 17x = 14 (mod...

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