Find the value of n(A U B) if n(A) = 8, n(B) = 13 and n(A n B) = 6. n(AUB) (Type a whole number.) =

Q: Solve the initial-value problem where f(t)= = 2: y'-y = f(t), y(0) = 1 0 ≤t≤1 t≥1 1: in the…

A:

Q: Let a, b ∊ R, and suppose that for every ɛ>0 we have a≤b + ɛ. Show that a≤b.

A:

Q: 3. 4. Consider the matrix A = 3 0 0 3 1 1 2 23 (1) Compute the determinant of A, i.e., det(A) and…

A: Given, So, matrix A is nonsingular.

Q: For the following sequence, determine if it is an arithmetic sequence, a geometric sequence, or…

A:

Q: Let U = {1,2,3,4,5), A={1,2,5}, B = {1,4,5), and C= {1,2,3}. (a) Find A U (BUC). (b) Find (A U B) U…

A:

Q: The fission reactor of a nuclear plant explodes at t = 0. The following function d represents the…

A: (a)This method is useful for obtaining an approximate response, but it cannot provide an absolute…

Q: f(x, y) = 4 + x² - y² R = {(x, y): x² + y² ≤ 9}

A: Surface area of the given surface

Q: Use a graphing calculator or computer to verify the given linear approximation at a = 0. Then…

A:

Q: Is there a tank of the same size and same basic shape that would require less work to empty?…

A: The work required to empty a tank depends on its shape and the height over which the fluid needs to…

Q: Use the budgetary equation to express the functional U[b] in terms of b and b', then calculate the…

A:

Q: The trace of a square n x n matrix A = (aj) is the sum a₁1 + a22 + ... +ann of the entries on its…

A:

Q: If A is a 4 x 2 matrix, what are the possible values of nullity(A)? (Enter your answers as a…

A: The nullity of a matrix A is the dimension of the null space of A, which is also known as the kernel…

Q: The derivative of the function f is defined by f'(x) = x³ +3 cos (x² + 5). Find the x values in the…

A:

Q: Construct a truth table for the following compound propositions. b) (p ^~q) →q 2. a) (~pv q) → (p@q)

A:

Q: du Each integration requires a simple substitution. Let u = 4y + 3 and v = 8x + 9. Then dy = 4 1 √…

A:

Q: A graph of -x³+4x²-3x-18 is shown. Use the graph to solve x² + 4x²-3x-1820. YA 20 -A 10 x³+4x²² 3-18…

A:

Q: find the general solution by finding the homogeneous solution and a particular solution.

A: 17. Given that the differential equation is                                               To find…

Q: The height above the ground of an object t initial velocity of vo feet per second is give rising…

A:

Q: The general solution of the 3rd order equation y′′′ − y′ = 0 is given by y(x) = C1x + C2e^x +…

A: It is given that is a third order linear ordinary differential equation. We have tofind the general…

Q: Show that for every pair of sets X and Y, the sets X × Y and U {(x, y) | y ≤ Y} xEX are equal.

A:

Q: 12* 8* 6+ 1- 2+ 3/ 2+ 12*

A: Given puzzle can be solve using some basic steps.

Q: Let f : D → R be continuous at c ∈ D and suppose that f(c) > 0. Prove that there exists an α > 0 and…

A: To prove this statement, we can use the definition of continuity.

Q: Consider h(x) = 10x³ - 23x² - 6 + 12x Determine the intervals on which h is decreasing. Oh is…

A:

Q: Question 5. If z is an implicit function of x, y defined by xe" + ye+ ze = e use implicit…

A:

Q: dy Solve the given differential equation by using an appropriate substitution. The DE is of the form…

A:

Q: What is the remainder when 467 is divided by 7?

A: 3. Given that is divide by 7.    To find the remainder when is divide by 7.

Q: Exercise 4: Recall that in Exercise 3 we looked at Euler's method applied to the equation x = x with…

A:

Q: list the days during the next 60 days on which megan and michele will see each other in city b

A: Given that:-Megan flies a 21 day schedule( including days off) which then repeats.Michele has a 30…

Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is…

A: By using the nth term test for divergence, we have to show that the series is divergent, or state…

Q: 2. Show that the following functions are convex by verifying the condition that V² f(x) > 0 is…

A:

Q: 25.9 (a) Let 0 < a < 1. Show the series or converges uniformly on [-a, a] to 1-x (b) Does the series…

A: a) The series converges uniformly on  to .b) Does series  converges uniformly on  to ?

Q: I see that parts 1-3 are answered but can you help me with 4-6?

A:

Q: 1.6 Answer the following questions in full a) Classify (identify) all the singularities of the…

A:

Q: Jump to level 1 Find the Frobenius distance between the given matrices. 市 品品 语言 品品 A= d(A, B) = Ex:…

A:

Q: Let A, B,C M.(R) be three square invertible matrices with real coefficients. Solve the following…

A:

Q: 5. Marc is asked to simplify the expression √3-√75. He says that since the radical you -------- ----…

A:

Q: Let u4 be a vector that is not a linear combination of {u₁, U₂, U3, }. Select the best statement. ©…

A:

Q: Which of these statements never can be true? A) tanx = 500 B) Cosx =0,999 () sinxcosx 5,000 = Q)…

A:

Q: Find the determinant of the following matrices using at least one row AND at least one column…

A:

Q: Convert the following 2nd order IVP to a 1st order system IVP, by viewing y' as a second dependent…

A:

Q: Let R4 have the Euclidean inner product. Find a unit vector with a positive first component that is…

A:

Q: Draw an appropriate Venn diagram and use the given information to fill in the number of elements in…

A:

Q: 2. Show that the determinant map is continuous. det: Mat(n ×n, R) → R

A: Given map is   ,here the domain is the set all matrices over real numbers.Also we know that the…

Q: 3. (a) (b) (c) Solve the homogeneous DEs. Show all work. y(4) +4y"-21y=0 y"+y+ 7y=0 2y"-3y'-2y=0…

A:

Q: Show that if n is an integer and n^3+5 is odd, then n is even

A:

Q: Find the limit lim (z,y) → (0,0) r²y¹ cos(x + y²) x² + y²

A:

Q: 12. Determine whether each of these functions from Z to Z is one-to-one. If not one-to-one, give…

A: We have to find whether f(n) is one-one in a) and b).

Q: 7. all integers. a) \n (n²+1>n) b) n (4n = 3n) c) 3n (n = n³) d) Vn (4n > 5n) Determine the truth…

A:

Q: 5.7 Show that a line in IR³ that does not pass through the origin cannot be a subspace of IR³.

A:

Q: Use the remainder theorem to find P(-2) for P(x)=-2x^(4)-3x^(3)+5x^(2)-4. Specifically, give the…

A: Given Method(1):           x=- 2  )  -2      -3       5       0         -4…