Which of the following is true about f(x) = [x]? A. The function is continuous at .x =0. B. The function is differentiable at x= 0. C. f'(0) does not exist D. f÷(0) = 0. E. None of the Above Hint: Recall [x] = n if ns x

Q: or disprove : [nx] =n [x] %3D for all Positive integers n > 2

A:

Q: . Prove that there is no distinction between contravariant and covariant vectors if the transformati...

A:

Q: You decide to take a trip to Japan to see Mt. Fuji in person. But while you are there, you can bring...

A: Given The Carry -on Baggage Check Box has dimensions of approximately 22'' × 14 ''x 9 ''

Q: There exists an integer m > 3 such that m2 – 1 is prime. The above statement is due to proof by nega...

A: We have to complete the given sentence.

Q: Consider the 2n-periodic function f(x) = cos²(x) + sin³ (x). (i) Calculate the Fourier coefficient a...

A:

Q: (a) If U and V are vector subspaces of Rn, then U ∪ V is also a vector subspace of Rn.   (b) If V an...

A:

Q: Select ALL true statements: (A) For any matrix A, we have det(A" A) > 0. (B) If M is a square matrix...

A:

Q: minimum value of the sum of their squares.

A:

Q: D. Implicit Differentiation Assume that z is a function of x and y, find Zx if xz + ylnx = z2 – sin ...

A: We have to find the Zx.

Q: Mathematical induction. Use mathematical induction to prove that 2^n > n^2 for any integer n > 4.

A:

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing f...

A:

Q: Consider the map T : R3 → R3 given by T(x, y, z) = (x − 2y + z ,−3y + 2z, − x − y + z)    Choose o...

A:

Q: Which of the following functions form a particular solution of the differential equation y" – 2y' – ...

A:

Q: Find the unknown sides and the trig ratios

A: A triangle is a plane figure with three angles and three sides. If any one of the angles of a triang...

Q: 8. The monthly payment for a $5,000, loan at 6% for 2 years is $221. The monthly payment for a $5,00...

A: In scenario 1, a monthly payment of $221 is being done every month for 2 years, that is., 24 months....

Q: , 2η En=1 3 er

A: Given series is ∑n=1∞ n2nen3

Q: Se f(x, Y, z) = (x² + y² + z²)¯iwe can say that + a²r ' a²y a²z equals to Choose an option O a. V f(...

A: Given function f(x,y,z)=(x2+y2+z2)-12. We have to find the value of ∂2f∂x2+∂2f∂y2+∂2f∂z2. Formula wi...

Q: R* nC = R* Q* c R + Q* nR* = Q* Z* cQ* R* cQ

A:

Q: onsider the function y=−3sin(4x−π/2

A: Given,          y=-3sin4x-π2+1

Q: 7. Consider the subset S of R³, S = {(x, y, z) | 2.x – y + 3z = 0}. Show that S is a subspace and fi...

A:

Q: The ordinary differential equation 2xy" + y = ycosx is linear False O True

A: Given differential equation is 2xy'' + y = ycos(x)

Q: A В Use the method above to find the distance from the point P(-3, 1,5) to the line through A(1, 1,0...

A:

Q: Select ALL true statements: (A) For any matrix A, we have det(A" A) > 0. (B) If M is a square matrix...

A:

Q: Prove that dz 7-9 (2-2)"dz =0 b,ony integer # -I 2. And Evaluate WHER E Ĉ is the are of the cycloid ...

A:

Q: Given matrix : (1 c+2 _d-12 A=|0 7 0 5 3 b=-2 and vector: a) Calculate the inverse matrix: using the...

A: We have to find the A-1 using Gauss -jordan method .

Q: Check if the field is conservative, if it is, calculate by the Fundamental Theorem of Calculus for L...

A:

Q: Let a, b be integers. What does it mean for a = b (mod 17)? Describe the elements of Z17. Compute [5...

A:  a ≡ b (mod 17) means that a − b = 17k for some k ∈ ℤ. ∴  b − a = −17k = 17(−k); henceb ≡ a (mod 17...

Q: Find the particular solution corresponding to the tableau. y 1 16 16 4 -5 -5 1 1 -1 10 4 24 12 12 1 ...

A:

Q: Express your answer in rectangular form both in EXACT value and approximate value. Round off approxi...

A:

Q: 25. Solve the equation tan x+3 =0 for exact solutions over the interval (0, 27). 0.

A: Let us consider the tan function that is y=tanx The domain of the function Domain=R-(2k+1)π2 The ran...

Q: 5+5×2

A: To calculate the result, we use BODMAS rule. In BODMAS rule, the order of the operations are here: B...

Q: 4) Find power solution a series the guen dpperential OF equa tion. ay" - 4y'+y=0

A:

Q: (-4r+16y= 7 -2r+3y 0 Which of the folowrg chanpes to the Imear system above will produce a system wi...

A: Introduction: Each equation of a system of linear equations represents a straight line. Two straight...

Q: Glven A = and B=. Determine the components, magnitude, direction angles of the vector 3B + A. Sketch...

A:

Q: (: ) . Consider the matrix A = Find (a) the characteristic polynomial of A; (b) the eigenvalues of A...

A: By Bartleby policy I have to solve first 3 subparts only. Repost separately remaining questions.

Q: 5- Verify that the given function u is harmonic in an appropriate domain D. Find v(x,y), the harmoni...

A: 5. (iii)

Q: The solution of the separable differential equation – x²y² = x² is: dx None of the above y=tan((1/3)...

A:

Q: Find L{f(t)} using the First Shifting Theorem. Note: a, b, e, w, k and n are constants. 1. -kt 2. L{...

A:

Q: Find the solution the following initial value problem. You will need to evaluate the integrals but n...

A: As per the question we have to solve the following initial value problem : ut - 3uxx = e-5t with ini...

Q: HW.s Anofen cylinder Can hag an tnside radius and an inside height of s cmuse the total 2cm derivati...

A:

Q: Find the solution to the following system of equations: -4 1 1 X1 -200 1 -4 0 -4 1 -4 1 X2 -400 1 1 ...

A:

Q: PROBLEM 1. Given the ordinary differential equation: (x2-4)y" + 2xy' +y = 0 %3D Solve the general so...

A: This is the problem of series solution.

Q: y" – 4y' + 4y = x²e*

A: Here we have to solve the given equation using method of variation  of parameters. Where we use worn...

Q: In this question, the real numbers in your answers should be given with three significant digits of ...

A: Given: The population has been divided into three categories: covid-negative, covid-positive, and ho...

Q: Solve for x. If necessary, round to the nearest ten-thousandth. (If there is no solution, enter NO S...

A: Given expression is log3(3x) - log3(2x - 3) = 2

Q: 10. Consider the plane 2x - 3y+4z 0. Find a basis B of this plane such that (B = for ū =

A: Solution:-

Q: After exploring for a while, determine which of the following properties are always true by dragging...

A: Given: A square with side 4.93

Q: (2) y ty= tanx (0)=2 (0) = |0

A:

Q: In 2015, a population of elk was down to 3,542 animals after 5 years of exponential decrease. Part A...

A: The exponential decay or growth is modelled using the equation: f(t)=a1±rt, where r is the rate of g...

Q: Explain why the following assertions, despite looking false, are actually true. (a) All graphs with ...

A: (a). The given degree sequence of a graph is 6, 6, 5, 3, 2, 1, 1. We know that a graph is an Euleria...