indices. V Lemma 1.1.15. Let p> 1, q> 1 be such that (1/p) + (1/g) = 1. Young's inequality holds: (z"/p) + (y" /q) 2 zy for all z > 0 and y > 0. (1.3) The equality holds iff xP-1 = y iff z!/4 = y!/p iff xP = yl, %3D

Q: 8. i Let f(x) = 11x and g(x) = 7x73. Find (fg) (x) and (x). Then evaluate fg and for x = -8. %3D…

A:

Q: 2. Determine all values of x for which 0<= x2-11/x+1<=7 (include graph and intervals tables) *in…

A:

Q: e havel (² + ¹) - (2) - (2) = Prove that for all positive integers x and y we xy

A:

Q: 17. The interval for function Is+3|2 1/2 is (-7/2,- 5/ 2] 0(-7/2,-5/ 2) (-00,-7/2)u(00,-5/2)…

A: Given: s+3≥12 We have to find the interval in which the given inequality satisfies.

Q: 10) Chapter 3.1 Show that the function f (x) = x* is decreasing on the open (Show Graph interval…

A:

Q: 3, 5x 60(x 2 + x;), 3 b) Y = In 7.

A:

Q: 7. 3+x 7 3-x Find f(x) such that h(x) = (fo g)(x) and g(x) = 3+x h(x) = 3-x ,7 f(x) = D

A: It is given that gx=3+x73-x7,hx=3+x73-x79

Q: f(x) = 2* and g(x) = 2**2 %3D

A: We need to plot the given functions.

Q: (3-x² if x ≤ 1 if x > 1 Theorem is satisfied. Then find all values of c 2. For the function f(x) = -…

A:

Q: I have the following example:  "For the function f : A = {a, b, c, d, e} → B = {1, 2,..., 6}…

A:

Q: f(x) = x* – 6x² – 5 the interval in which the function is 12 - %3D convex ? Ο Α) ΝΟΝΕ A) NONE B)…

A:

Q: Find the solution set of the inequality x – 4 - x – 6 x - 1' expressing your answer inm interval…

A: option (a) is correct

Q: [ -2 ; 5) -3 &lt; x &lt; 1 x &lt; 17 [ -3 ; 4) ( -2; 6] 2(-4-5) (8-15+3)(12:6-2)

A: To evaluate the expression involving absolute values

Q: The function f - decreasing on the interval (- 0,-2) u (0,2) (-1,0)U (1, 00) B (- 00,-1)u (0,1) .C…

A: f′(x) &lt; 0 at each point in an interval I, then the function is said to be decreasing on Interval

Q: z = x² – y? z = x² + xy – 1 and

A: Given - The intersection of the surface z = x2 - y2 and z = x2 + xy - 1 To find - The…

Q: e the given key feakures to sketch a linear gra The x-intercept is –2. The y-intercept is 4. Th…

A: Here in the graph it is shown that the function is f(x) is positive for x&gt;-2

Q: A function h has graph 2- f(x) = n (-4, 4). If f is defined on (-4, 4) by -1, -4<x<-3, - Ma h(t) dt,…

A: Given: A function h(x) f(x)=-1   -4&lt;x&lt;-3∫-3xhtdt     -3≤x&lt;4   Note: This question can be…

Q: inimum value of - 6x - x². 9 5.abs

A:

Q: If ƒ = {(1, − 1), ( – 3, 1), (2, the following values of f and g. a. f(1) b. g(2) = = 3 c. g = d.…

A: Given :- f=1,-1,-3,1,2,14,π,1 and g=2,-1,-3,-2,34,-1 To find:- f1 g2 g34 f2 g-3 fπ

Q: that satisfy f(x) = x³ + x – 1, [0,2]

A: Note:- Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Mean Value Theorem for the following function * f (x) cos x, x E [-π, π]

A: Given that  f(x)=cosx [-π,π]  To find the values of x that satisfy the mean value theorem

Q: Giving that f(x) = 4x + 4 3 Find: a) F(3) b) f(-5) c) F (-2) J) F (1) e) f (0) 2 X 3 -3≤x≤0 X>0

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: 13. What is the probability of tossing a sum less than 13?

A: Suppose 2 coins are tossed the sample space is as given below: S = {(1, 1), (1, 2), (1, 3), (1, 4),…

Q: Function f(x) = 1 / x+8 Is discontinous on : 1. For all value of x € [8,infinit) 2. For no values of…

A:

Q: 9. The function fis graphed below. Give the number of values that satisfy the mean value theorem on…

A: Mean value theorem

Q: If (2 e)(1-3e-38) f(t) = C-¹ · L-₁ { (2²-0") (1 3e-1)} is continuous for t≥ 0, find f(1), f(2), and…

A:

Q: p(+) = + = Find P (Q(+) P(Q(r) Q (t)=1 ++1

A:

Q: Show ▼(E) - G&F - FVG G² G=0

A: Given : G≠0 To Show  : ∇FG =G∇F-F∇GG2

Q: Let f(9) - 3 and f'(x) > 1 for 9 1 , we have f(11) > : this the smallest f(11) can be.

A: So, in our case , there must exist a c for which this holds true for 9&lt;=x&lt;=11