Given -.5 0.5 2(t) = 1000 (1000, Find: a. R(t) b.tr if a reliability desired is .90 c. if To = .5 years find tr %3D

Q: Find the volume of the solid that results when the region enclosed by y = Vr, y = 0, and r = 81 is…

A:

Q: 1 2 B =

A:

Q: G = (R, +), H = {a+bv2: a,b € Z}

A: Given G = (R, +), H = {a+b√2 : a, b∈Z}. We check whether H is a subgroup of G.

Q: Using the Bisection method, find z5 and z for f(2) = e - 4/z. Use z5 2 = 1.8. 0.9 and

A: Given f(z) = ez - 4z

Q: Prove lim(Vn+1- n)=c 8. 0 =

A:

Q: (d) Find a basis for the column space of A. (e) Determine whether or not the rows of A are linearly…

A:

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = 14 tan(x). (Use…

A: The given function is fx=14 tanx. Now we have to find the 2nd degree and 3rd degree Taylor's…

Q: Consider the points A(1, –1,4), B(2, –3, 2), C(-1, –2, 2), and D(4,3, –6). (a) Find the volume of…

A: Given the vertices A(1, -1, 4), B(2, -3, 2), C(-1, -2, 2) and D(4, 3, -6) of the parallelepiped…

Q: Check that the system Ax b with 1 3 1 A -1 and b 1 16 - 14 5 - 6 10 3 is inconsistent (note the rank…

A:

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 6/3 and whose components have…

A:

Q: rove: There are integers a, b, and c such that a|bc, but a∤b and a∤c.

A: We want to prove there are integers a, b, and c such that a|bc, but a∤b and a∤c.

Q: The differential equation for which sin¬ x + sin¯ y = C is given by V1- x²dx + /1- y² dy = 0 b. V1-…

A:

Q: Use a graphing utility with matrix capabilities to find the following, where u = (2, 1, 1, –3), v =…

A:

Q: Find a basis for and the dimension of the solution space of the homogeneous system of linear…

A:

Q: a) Write down the algorithm of Newton-Raphson Method.

A: As per bartleby guidelines we are supported to answer only one question when two or more questions…

Q: Determine if the two vectors are parallel, orthogonal, or neither. Show your proof a) A = and B =…

A: We have to determine that the given vectors are parallel , orthogonal , or neither.          (a) A→…

Q: Let g be a function that is defined for all x, x not equal to 2, such that g(3) = 4 and the…

A:

Q: Show that (1 + i)95 = 247(1 - i).

A:

Q: Find the Lebesgue integral over R for the following function. 4-r, rE(-2, 1] 1+2, rE(2,4] 0,…

A:

Q: 1. Given the function f(x) = (=) %3D (a) Find a power-series representation for f(r). f(x) dx = n(n+…

A:

Q: 7 3m converges or diverges. If it converges, find its sum. Determine whether the series m=2 Select…

A: The given series is ∑m=2∞73m.

Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below. 17…

A: The solution is given as

Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

A:

Q: -3 -10 1.5 -2 18.5 ミ= ÿ = -5 -9 7 Use the Gram-Schmidt process to determine an orthonormal basis for…

A: Given vectors are x→=−3−1−40, y→=−10−2−51 and z→=1.518.5−97. We have to find an orthonormal basis…

Q: Suppose that liquid flows into a tank at a variable rate of q(1) litre per second. It can be shown…

A:

Q: Find the centroid of the region bounded by the graphs of 512 and y = 16. y? y = x, x = NOTE: Enter…

A:

Q: 0l i 2345 6 The graph of the functionfis shown in the ry-plane above. Of the following, which limits…

A:

Q: 3. Let X be a set. Call a subset A C X to be finitely complemental if its complement is either…

A:

Q: Use the convolution product to find the inverse Laplace transforms of s? 1 (s² + 1)3’ (s² +1)(s² +…

A:

Q: Find the indicated powers of the given complex number. Express the result in polar form, then…

A:

Q: The average of two numbers is 42.25, and their product is 1647. What are the numbers? Enter them…

A: Here we have to find two numbers where average is 42.25 and product is 1647

Q: Consider the function f(x, y) = 4x? – 2y subject to the condition x2 + y = 9. Use Lagrange…

A:

Q: 1. Parts (a)-(c) refer to the vector field F shown to the right, together with the 5 curves C1,…

A: (a) ∫C5F→. dr→ is positive as the direction of intergration is along +ve direction i.e, along anti…

Q: Using the definition of a function being measurable, show that the function f(x) = r-10 is…

A:

Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

A:

Q: 4. A particle of charge q = moves in velocity i = (2 + m)î – (5 + m)f – 4k in magnetic field B = (7+…

A:

Q: Consider the following function: -- 2, -2 < r <-1 f(x) = {1, 2-z, 1<r$ 2. (1) Sketch the graph of f…

A: Given the function fx=-x-2, -2≤x≤-1x,           -1≤x≤12-x,         1&lt;x≤2. Sketching its graph,…

Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 2 5 1 1 A = 3 7 2 2 -2 10 22 8 -1 30 -4…

A: According to our guidelines we are supposed to answer only first three subparts.kindly repost other…

Q: Use the operator method described in this section to find the general solution of each of the…

A:

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

A: Directional derivative of the function

Q: 3. ト Find the quotient of A if A = and B- 2.

A:

Q: (-1)"(n + 2) 2n+1(n + 1) Compute the exact value of n=0

A: The ratio test can be used to assess if a series is converging or diverging. The following are the…

Q: (x, y, z) = ( i i

A: Given that Length of vector = 6√3 We have to find component of vector.

Q: (c) Use the data in the table to evaluate R' (t) dt. n 1 k 1 (d) The sum) R 4 is a right Riemann 2n…

A: For part c we will use Fundamental  theorem of calculus  Part2 If f is a  real-valued function on a…

Q: . Give an example of a mathematical proposition that is true based on a model. 2. Give an example of…

A: (1) To give an example of a mathematical proposition that is true based on a model. Consider the…

Q: dy Find the solution to the differential equation da 6xy (In y)² which passes through the point…

A: Given differential equation is dydx = 6xy(ln y)2

Q: Proof by induction that 0+0=0+0   where 0 represent x. x+0=0+x

A:

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 3 /3 and whose components have…

A: In the equation ∇g=λ∇f, delta represents partial derivative. A partial derivative is a derivative in…

Q: 12. Convert the rectangular coordinates (-1,3,5) to cylindrical coordinates

A:

Q: Suppose that the coefficients of the power series E an(x – c)" n=0 satisfy |an+1] lim = L. n→∞ an…

A: