give an example of a function that is not a dirichlet function and justify

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A: Introduction: When the sign in an infinite series changes in alternative manner, the series is…

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Q: Let a =2, B= 3 and y =6. Consider the following initial-value problem: (1) y'= 2 y+3 t^2, on (0,1)…

A: We have to find the error bound at t=0.1 using Euler's method.

Q: 2 - Given matrix A = -5 applying 3. 1 -3) 31 row operation it become -5 what row operation used? a.…

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Q: [C] Purity was asked by her friend Joyce from the School of Mathematics on how to evaluate V6 since…

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Q: x + y+ 5z = 0 Solve 2х — у +z %3D 0 а. (4, 6, -2) b. (-2t, 0, t) - с. (-2t, -3t, t) d. No Answer

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Q: Consider the following function: -x – 2, -2 8. (2k – 1)2 (2k – 1)4 96 - k=1

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Q: Verify the Divergence Theorem by evaluating F.N ds as a surface integral and as a triple integral.…

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Q: Find the Fourier series for: f(x) = -1, if – n<x< 0 if 0 <x < n

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Q: Exercise 3.5.15 For n> 2, consider Z, as a group under addition (mod n) and let T denote the…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: As per the guidelines i am solving first question. 1. Consider the given curves, y=x2, x=3 and y=0.…

Q: Use the class algebra to prove that if A C B and C = B – A, then A = B – C.

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Q: 1. Solve the given equation using Simpson 1/3 rule and Simpson -2x+4 1/3 rule composite solution…

A: It is a Numerical Analysis problem. Let us use composite Simpson's 1/3 Rule to find the solution of…

Q: az dz and dy *e6y. Solve for IV. Suppose z is a function of r and y, and tan Vy2 +x2

A: This is a problem of partial differentiation.

Q: Jan Reus sold her home and has $18,000 to invest. She believes she can earn 8% compounded quarterly.…

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Q: example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: Area of region bounded by curves y=f(x) and y=g(x) . If f form upper boundary and g form lower…

Q: Suppose we ALREADY KNOW that this field is conservative in Octant I: (2, y, :) = (2, In (2) +, In…

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Q: 3. Consider A(r) = (y, -x,0), and the line integral A• dr along the C boundary of the plane x + y +…

A: The given vector function is A(r)=(y,-x,0)., the line integral ∮CA·dr is along the boundary of the…

Q: Find the matrix A. 13

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Q: 1. Assign the maximum amount to this cell that is allowable based on the supply and demand…

A: Given: Let us consider the given statements and rearrange it.

Q: 3. A curve is given parametrically by: x =8- 4t2 ,y = 2– 8t. a) Write the Cartesian equation of the…

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Q: 6. Clarify that f f :(0,1)→R defined by f(x)= 1 not uniformly continuous.

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Q: Let g : B → C and h : B → C be functions. Suppose that go f = hof for every function f: A → B. Prove…

A: We have to prove that g(x) = h(x) for all x belongs to B.

Q: Which one of the terms below best describes the data above Category • Numerical Qualitative

A: Let us solve the problem in the next step.

Q: Evaluate the integral f(x) dx where f(x) is the density function of a continuous uniform D.…

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Q: Evaluate the integral F· dr. F(x, y) = (7x2 + y) i + (8x – cos y) j where Cis the boundary of the…

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Q: a) The shaded area enclosed by the curve y = x? - 4 and the x-axis is rotated around the x-axis to…

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Q: I. Show that the function f defined by (x, y) = (0,0) %3D f(r, y) = (x, y) # (0,0) x+y is not…

A: The given function is: f(x,y)=1              (x,y)=(0,0)x2+yx+y     (x,y)≠(0,0) To prove: this…

Q: Find the curvature of the curve 7 (t) = (4t, – 3t, – t) at the point t = 2. Give your answer to 2…

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Q: 5. Let o1, 02, 03 be the Pauli spin matrices (? 0 1 1 0 1 03 = 01 02 i and oo = I2. Consider the…

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Q: Instruction: Create example problem about Area Region Bounded by Different curves. Write the…

A: Introduction: Different methods are used to calculate the area under the curve, with the…

Q: Determine the cube root of (3 + j4). ound-off the modulus to 3 decimal places, the angle to the…

A: Cube root of (3+4j)

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Q: Suppose z is a function of a and y, and tan y² + x² = z*e®%. Solve for az az and

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Q: a tan Vy? + x² = z*e®%. Solve for az az and

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Q: p5 3(x-1) dx is equal to The integral of the given function S (3x+1)7 а. О b. -1 с. 1 d. undefined…

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Q: 15. Let T : P, -→ P, be defined by T(a, + a,x+ a,x²) = (5a, + 6a1 + 2a,) %3D - (a, + 8a,)x + (a, –…

A: Follow the steps.

Q: Figure out the following limits, i they exist.(No L'Hopild Ioing Rale) in a) lim n- b) lim n² sin n-

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Q: 4. Use a suitable numerical method to estimate , xln(x)dx, using h = 0.4. Use 4 decimal places in…

A: Here we will use right Riemann sum to estimate the integral  Given a function f(x) that is…

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Q: 2. Let R be the relation on Z→Z such that ((a,b),(c,d)) = R a+d =b+c. Show that R is an equivalence…

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Q: d- Simpson 3/8 rule.

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Q: An electrical device was measured for its current, I fluctuates at a number of different values of…

A: Given the data in the table of the current flowing at time t.   ts 0.6 1.1 1.5 1.9 IA -0.62Id…

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: Let h be a function with two variables with continuous second order partial derivatives hxx, hyy and…

Q: Show that the determinant gives a group homomorphism det: GL(n,R)->R*, where R*=R-{0} under…

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Q: 3. (1 – 3 sinh( 2t) + sinh(4t))´ dt

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Q: An electrical device was measured for its current, I fluctuates at a number of different values of…

A: We can solve using given information

Q: solve the roots in complex form of the quadratic equation 2x^2+3x+4=0

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Q: I. Show that the function ƒ defined by (1, y) = (1, –1) f(1, v) = { +g (z, y) # (1, –1) + y is not…

A: We will use the sequential characterization of continuity to solve this problem. The detailed…

Q: Find all number(s) a for which the least squares line of best fit for the points (1, 1), (2, 4), (3,…

A: In part (b) we need to find the line of best fit in terms of a then we need to equate the slope of…