Find the angle between the vectors. (Round your answer to the nearest degree.) a = j + k, b = i +4j - 2k O

Q: f(z) = 6z + iz + Re(z) (a) 6-8i (b) -7+ 11/ (c) 5-91

A:

Q: Solve the given equation for x. 5x + x² e -5x = 0 8x e

A: We need to solve the equation 8xe-5x+x2e-5x=0

Q: Which of the following double integrals will NOT give the volume of the solid bounded above by z = 2…

A:

Q: 2. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0 Define: a. do points A and B…

A:

Q: 5.Express this model of an electric circuit d²y dy +6 +5y = sin10t, y(0)=0, y'(0)=1 dt² dt As a pair…

A:

Q: Use Euler's method with step size 1 to estimate ³(¹), where y(ª) is the solution of the problem y +…

A:

Q: 4. Prove or disprove the following statement. U(8) is cyclic. [from #1, 4.5]

A:

Q: Q3/A-(12 degree) If the A-¹ = 0 -1 1 11 13 25 11 -3 11 31 11 11 11 51 , Find the value of A.

A:

Q: Let f(z) = cosh z. (1) Find the image of S:= {z = x+iye C: x<0,0 < y < } under f.

A: First calculate image the boundary line under the map. Then choose a point other that boundary from…

Q: du at u(o₁t) = du (πT₁E) = 0 ди dx and I.C₁ u(x₁0) = 3 sin (5x) HW: solve heat eq. ax² with b.Cs:

A:

Q: As preparation for designing a new line of business wear, a clothing manufacturer asked a large…

A: Part(a) Pink color has the smallest slice out of all colors. So, pink is approximately 1/8th of the…

Q: Consider the following system. dx = -9x + 4y dt dy dt -5x + 2y 2

A:

Q: Use De Morgan's laws to determine whether the two statements are equivalent. q→ (p^~r), q→ (~pvr)…

A:

Q: Consider the definite integral given below 3.5 S (x cos (3 z) - 1.1 z³) dz 0.1 a) What is the value…

A:

Q: Integers Fractions Negative Positive Figure 4 The real number system Exercise 5 Copy and complete…

A: We need to complete the table.

Q: Use variation of parameters method to find the following differential equations: (i) y" + 16y = 32…

A: Solution i:  Given differential equation is y''+16y=32sec(2x)           (1) Auxiliary equation of…

Q: (5) Alice and Bob agree to use the prime p = 2663 and the base a = 5 for communications using the…

A: Given  p=2663 , α=5 Let p,α,βAlice be Alice's public key and p,α,βBob be Bob's public key.

Q: Describe verbally the transformation(s) that can be used to obtain the graph of g from the graph of…

A:

Q: Suppose a population grows according to a logistic differential equation model. Its population in…

A:

Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

A:

Q: Show that the given function is not analytic at any point. (Assume z = x + ¡y.) f(z) = x² + y² UE av…

A:

Q: 1. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0 Define: a. the equation of…

A: To find the equation of the line that passes through the point A2,2,1 and is perpendicular to the…

Q: Give 1 example of situation in real life that illustrate Combinations. In the situation; 1.…

A:

Q: 1₂ + 5x₂-3y - 7 Find the solve of the Linear system 3x1 + 12x3 = 26 by Jacobi iterative method Where…

A:

Q: Q2: Show that u = ln(x² + y2) is harmonic function and find the conjugate harmonic v = (x. y) and…

A: Given: u(x, y)=lnx2+y2 To show: u(x, y) is harmonic function and find its harmonic conjugate v(x, y)…

Q: Find the Product solutions of du 2) du 1 dx dy + -

A:

Q: 2. Q(-∞0) = 1 using the definition of error function.

A:

Q: 2. -) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the…

A:

Q: Find the area of the region that bounded by r=1- cos(0)

A:

Q: 10) Consider the oriented curve C, which is the intersection, in the first octant of the surfaces…

A:

Q: If two systems of linear equations have different numbers of equations, then the two systems are not…

A: Two systems of linear equations are equivalent if and only if they have the same solution set. Now,…

Q: Determine the solution of the differential equation using Laplace and Inverse Laplace Transforms.…

A:

Q: Question 3. Prove that L(e^)(«) = * & dt.

A:

Q: B/ The sprue leading into the runner of a certain mold has a length is 150 mm. The cross- sectional…

A: We will use Torricelli's theorem to find velocity of metal through the base of sprue .

Q: Find the Product solutions of du l 2) du + dy ау dx

A:

Q: 10 in. 26 in.- A B 24 in.- The figure shown is made from a piece of thin, homogeneous wire.…

A: Solution :-

Q: If A is a normed subspace of E, proof that bd(A) is a subspace of X.

A: Please check the answer in the next step

Q: 7. Use the trapezoid rule with n = 60 to approximate the sum in addition to providing the…

A:

Q: The particular solution of the differential equation: (x + 2)² d²-(x + 2) dx +y = (b + 1)(b +…

A:

Q: Q3. Let R be the region shown in the accompanying figure. 1) Fill in the missing limits of…

A: First day we will fill the missing limits of the integration then we will evaluate the integral…

Q: Find the Product solutions of 2) du du - I dy dx +

A:

Q: 3. In August, the real estate company indicated that it wanted to increase the mileage allowance to…

A:

Q: 1 0 0] Be A . = 0 a 1 10 α , a € R. o) 0 1 a Calculate the dimension of the row space of A for a =…

A:

Q: 5. Given two vectors a = and b=. Find (i) (a + b). (ax b) (ii)the angle between a+b and axb.

A:

Q: Define fet)= et +etcost if t>#7/2 solve y(3) - 2y (2) + ý' - 2y = f(t) y(0) = 1₂ y'(o) = 2, y"(0) =…

A: Given differential equation is y3 -2y2 +y' -2y =ft   with   y0=1,  y'0=2,  y''0=4Here, ft = e2t if…

Q: Consider the function on the interval (0, 2). f(x) = sin x + cos x (a) Find the open intervals on…

A:

Q: Q2) Determine the traction vector, considering the following input data: 30 15 12 o 15 24 18 n=…

A:

Q: Given the function z=f(x,y)=2y³ - 6xy-3x² +2, find the following: a) Vf= b) Find all of the critical…

A:

Q: EX:- Determine the Jacobian matrix for the quadratic isoparametric triangular element shown in fig.…

A:

Q: Q2. Determine if the integral 1 [Inxdx converges or diverges.

A: