+prove by indirect method that if X+y>5 then x>2 or

Q: A and Bare open and bounded.

A: For second one we can take any two open interval one of whose right end point ar same of the others…

Q: So lve メi4,3. &メ ーツ +豆 =4 X + 3y -Z =l| 4x + リーZ =14

A:

Q: Express x^8-x over 2[x] and over F2[x] as a product of irreducible

A:

Q: Solve the initi al value pro blem:s' (x)=Seckta nx-2X1F(0 23

A: Given: Initial value problem f'(x)=secxtanx-2x f(0)=3 Formula used: ∫secx tanx dx=sec…

Q: Show that Y1 = X1/X2 and Y2 = X1 + X2 are independent and that Y2 isχ2(r1 + r2).

A: Given Y1=X1X2Y2=X1+X2

Q: By using the substitution method, show that for any positive numbers x and y

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find a counterexample to show that the statement is false. (Select all that apply.) x > 1…

A: If x is a real number greater than 1 then the statement x> 1/x is true.  But for real numbers…

Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(-2) = 3.

A:

Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(0) = 0

A: Given: f(0)=0

Q: Find f"(2) if Ax) %3D x² - 3* 08 O -7 4 O 2

A:

Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A: Given a+b=120 .....1

Q: For each positive integer n, find the number of positive integers that are less than 210n which are…

A: ANSWER :

Q: Compate the Cantiderivative of fox) = x²+4 xナ4 %3D x³+ax

A:

Q: Use direct prove to prove that for any two positive numbers x and y, Vxy s*+y 2

A: Suppose x and y are two possitive integers.To show: xy≤x+y2  since squares are always positive,…

Q: ve that if x5 – 3x4 + 2x

A: Introduction: In an equation, the two expressions are assumed to be equal, as indicated by the…

Q: Determine whether 8ory-- ∞ as メマ- co and x→。 2. y= -3x°-5x²+7

A:

Q: Prove the inequality tanx2tanx1>x2x1 provided 0<x1<x2<π2.

A:

Q: 2. Show that div r = 3 %3D

A:

Q: Prove x²(x-y)² =x² -y²

A: Substitute x=y in the given equation Then x2(x-y)2=0 ....... (1) and x2-y2=0 ....... (2)

Q: verify that 6A = 3(2A)

A: Here given  Thus

Q: √x³√1-x² 2

A:

Q: . Show that there exists a real number 0 <x< 2 so that x' + 8x² – 10 = 0 -

A:

Q: Show that Rsta is Hausdorff.

A: Note that a topological space X,I is said to be Hausdorff if (and only if) for every distinct points…

Q: Show that x + 5[x²] is 0(x²).

A: This is a problem of complexity.

Q: Find when y = -5 (In(x))¯4

A: Explanation of the answer is as follows

Q: Use the subst ition =x+y=0 4x-3y=0 By Your answer is

A: -x+y=0  -----&gt;14x-3y=0  -----&gt;2from equation1-x+y=0⇒y=xsubstitute y=x in equation 24y-3y=0y=0

Q: (b) lim In(5x2 +3) – In(2r² + 1). -

A: Given :

Q: Find positive integers that satisfy x + y + z = 6 x + 5y + 8z = 35 x = i ! y = i

A:

Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: 5. Show that Ax) = Inx² - 1- In/3, if f'(x)= and (2) = 0. x- 1 Justify your answer.

A: To show that f(x)=ln|x²-1|-ln√3

Q: Prove that if 8x-5=-2x-15 then -x=1

A:

Q: Give a proof by cases that [4x] = [x] + [x + ¼ ]+ [x + ½ ] + [x + ¾ ] %3D

A:

Q: Find the term of (x + +)° that does not contain x.

A: Given expression is, x+1x6. The general term is given by, Cknakbn-k. In the given expression,…

Q: Prove that x -2x+2>0 for value of x.

A:

Q: y3-3ax2+x3=0,then

A: Given:  y^3 - 3ax^2 + x^3 = 0

Q: A³ f2 = V³ fs 3

A:

Q: Determine the upper bound on the error in the approximation – 16x5 + 256x° if |x| < 0.2 - 1+16x4

A: Given:x1+16x4 ≈x-16x5 + 256x9

Q: ) Show that |2x - 2|-|x+1| +2≥0 for every x € R.

A:

Q: Prove they are equal 4 = 7(2x+ 1) - 5x -3(3x + 1)

A:

Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(1) = 0

A: We have, f'x=2x Integrating both of the side with respect to x, we get the result as…

Q: By applying product rule to find y' 3 (1+x*) x4 - x*

A:

Q: Use substitution technique (Vp+qx + x² = z – x) to show that dx 1 Vr2 + x + 2 +x – /2 - In Vx² + x +…

A: see the attachments

Q: If x is a n-700 as a. always b. real number Sometimes never such that 1x11, then x" -> -0

A: We want to find correct answer.

Q: ues of p will 3x(4x+3)=-p have non-real root

A: Given Equation 3x4x+3=-p The value of p is found such that the equation has a non-real root.

Q: 725 + 7z4-2r If f(z) , find f'(z) Add Work

A:

Q: Use intermediate theorem to explain P [x] = x* – x' – 10 has a zero in [2, 3]

A: According to intermediate value theorem of a function f(x) is continuous on [a, b] and L is any…

Q: Sketch the nullcline for: x' = 4 - y2 + x2 Explain.

A:

Q: "8 does not divide x^2– 1 if x is even". prove it directly

A: We need to prove  8 does not divide x2 - 1 , if x is even. OR if x is even, the 8 does not divide x2…

Q: Find 2 for all of: 1- y = xvInx 2- y = 3 x(x-2) x²+1

A: