6. PROVE: Let f be defined on an interval I. Suppose that there exists M > 0 and a > 0 such that |f(x) – f(y)| < M|æ – y/ª for all x, y E I. Then f is uniformly continuous.

Q: -0.50 1.00 а) 0.60 -100 -0.50 b) 0.60 100 -1.00 -0.50 1.00 c) 0.60 -1.00 -0.50 1.00 d) 60 -1.00

A:

Q: Find 2x² +5x+1 -dr, x>0

A: Use the formulas below to evaluate the given integral.

Q: (1,-16) and (-3,12)

A: To write down the equation of the straight line joining the two given points.

Q: Solve on y

A: Given, 5(x - 2) &gt; 9x - 3(2x - 4)                5x - 10 &gt; 9x - 6x +12                5x -10…

Q: Solve for x in -1-4 30 XT. = -10 X = = -2-54 1 -2 XT. 2-4-4 -24

A: Given the matrix equation:[−13​−40​]XT=−10[−22​−5−4​4−4​]+[1−2​−24​]XT Let's denote the left-hand…

Q: Solve for A.

A: This means that the product of matrix A with another matrix given an identity matrix. Therefore the…

Q: Solve for x. 2x - 2, x +5

A:

Q: |2х +3 3 13

A:

Q: solve for b a=1\2bh

A: We will find the value of b in terms of a and h as following .

Q: 16 a

A: topic - similar triangles

Q: 5. If X any Y are sets, then X-Y= {r€ X: 1¢Y} If X is open set and Y is closed set. Prove that (a)…

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Q: Solve for x. (3x + 2)* 62 O x-20 O x-38.7 O x-21.3 O x-62

A:

Q: Solve for VW

A: Use the Pythagoras theorem as there is a right-angled triangle present in the circle, use the…

Q: Solve for x. 2x+29 3x+8

A: Both the angle with x variable makes a supplementary angle.i.e (180°).

Q: Solve number 2

A:

Q: If 2*+l = 3-* then find the value of x

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Q: olve accordingly

A: we can see that the graph touches at 4 places on the x-axis.

Q: 3. 3r+ Sy - 2: = 52 4r+ 7y +a= SI -2r- 9y + Sa--53

A: