U(X) = 2 = + x² + + ( Ult) d U(x)=2x Proof By adomain direct

Q: Prove that f ( x ) = x ⋅ | x | is continuous at all points c in ℝ.

A: f: ℝ→ℝ defined by fx=x·x

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A:

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A:

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A: Here find the solutions of the first two parts.

Q: 8. Suppose f(x) = arcsin x, then f'(x) = 1 A. +x² B. x² C. cos x D. 1-x²

A:

Q: Graph the feasible region. -x + y ≤ 0 X ≤ 6 y = -2 10 9 Clear

A: Answer given below.

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A: (i) Let, f : B → C and g: A → B are injective.      Now, f ◦ g is a function from A to C.…

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A: We are given the speed change f(x,y) as a function of fractional change in power x and fractional…

Q: 1. Consider the following linear system and use CRAMER Rule to solve the system: (0.3x₁ +0.52x2 + x3…

A: Given: Linear system-0.3 x1+0.52 x2+x3=-0.010.5 x1+x2+1.9 x3=0.670.1 x1+0.3 x2+0.5 x3=-0.44To find:…

Q: Perform the indicated multiplication if possible. (Enter NONE in any unused answer blanks. If the…

A:

Q: Determine the coordinates of the image point after a rotation of 20° about (0, 0) from the point…

A: Given information Point: 4, 0 Rotated about origin 0, 0 by an angle 20°. Then angle θ=20°. Find the…

Q: Let G be the region bounded above by the sphere x² + y² +2²=a² and below by the cone ² + y² .…

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A: Given information Dimension of cardboard: 6 cm × 16 cm Side length of square : x cm The sides will…

Q: Solve x'=3xt^2-3t^2, x(0)=2.

A:

Q: a) Consider the function g(x) = f* f(t)\ dt, where a is a constant. i. With the aid of a diagram…

A: The given function is, gx=∫axftdt. (a) To Explain: the relation between g and f. (b) To Find: g'(x)…

Q: 5. Prove that if S and I are countably infinite sets (meaning |S| = |N| = |T|) then SUT is also…

A: Due to Bartleby answering guidelines I have solved only question no 5.

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Prove that if x is any non-empty set then the function d (x,y)…

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A:

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A: We know,             Equation of the straight line passing through the points (x1, y1, z1) and (x2,…

Q: Graph the solution set. y > 6 10 9 8 7

A: Solution is given below.

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A: (A)

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A: The given matrix is A=1234-2305-1 and the vector d is given by d=123   The projection of a vector v…

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A: The answer provided below has been developed in a clear step by step manner.

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A:

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A: We have to solve given Questions.

Q: (x+1)(x-2)². On what interval (2) (x - 5) let g"(x) = is g Concave up? (Note: you are given g" but…

A: g''x=x+1x-22x-5

Q: Evaluate I = f (z, x, y). dr and C is the helix of r(t) = (cost, sin t, 3t) sketch the curve C.

A: Given,               I=∫Cz, x, y·dr, and C is the helix of r(t)=cost, sint, 3t.

Q: 2log3 6

A:

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A:

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A:

Q: Find the solution of the Cauchy problem for the differential equation y"-3y'+2y=(3-4x)e³x subject to…

A: Given differential equation y''-3y'+2y=3-4xe3xD2y-3Dy+2y=3e3x-4xe3xD2-3D+2y=3e3x-4xe3x

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A: The answer provided below has been developed in a clear step by step manner.

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A: The given linear programming problem. maximize Z=6x+y Subject to the constraints, x-y≤03x-y≥0x,y≥0…

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Q: Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Maximize z = 3x…

A: Given that the linear programming problem Maximize  z=3x-7ysubject to  y≤x ⇒x-y≥0…

Q: Find the order of the matrix.           10 –19 19 16 21 –18 –4 0

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Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

A: