1. Electromagnetic waves have a fixed relation between the electric and magnetic fields E, B, and the direction of wave propagation k. The figure shows three cases where two of the three vectors are shown. In each case the vectors shown are either perpendicular to the paper, or lie completely in the plane of the paper. a) For each case, draw the third vector. a) E B B

Q: 2x - We want to calculate an approximation to the derivative of f(x) = x² +1' a. Use the Centered…

A: a. Using the centered difference formula:   f^ prime (x) approx (f(x + h) - f(x - h))/(2h)   We…

Q: Qw.120.please find a coloring using the minimum possible number of colors. what is the chromatic…

A: We have been given three graphs. We have to find the minimum possible number of colors used to color…

Q: Evaluate Jo xy ds where C is the lower half of the circle x² + y2 = 8 oriented clockwise.

A: Since it is a multiple question. So as per our guideline, we are supposed to solve only first…

Q: Let F(x, y) = (3y, 2x + 2) and let C be the top half of the unit circle, beginning at (1,0) and…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: 4. Determine the convergence behavior of the series Σan for: (a) an √n+1-√n (b) an =(√n+1-√√n)/n…

A: This question is about sequence and series.

Q: Instructions: Please show your steps/calculations and understanding steps by steps. 3. Using the…

A: Function, fx=x2-3x+1

Q: = The boundary value problem y" + λy = 0 y'(0) = 0 y' (L) = 0 has a solution : 0 yo(x): = 1. Find…

A:

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

A:

Q: [102 01 b 1x X2 All rightserved, 317 I3 -1 -1

A: (.)  Given system is ,            10201b317x1x2x3=-1-1   1 here  b=2 , ⇒       102012317x1x2x3 =…

Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p…

A:

Q: Hints: Find the general solution y(x) of the following ODE: dy (x + 1) + xy² = -y-y². dx Classify…

A: Given that the ordinary differential equation…

Q: Using the priority list T3, T7, T5, T6, T2, T₁, T4, schedule the project below with two processors.…

A: Number of processor at a time : 2 Priority listing: T3, T7,T5,T6,T2,T1,T4

Q: Evaluate the line integral, where C is the given curve. xyz² ds, C is the line segment from (-3, 4,…

A:

Q: 003-2 Determine whether the series > 4 n=0 Select the correct choice below and, if necessary, fill…

A:

Q: (3) Q3 MULTIPLE CHOICE One answer only Let I = (0, 1). There exists a continuous function f : I → R…

A: Answer is (a)

Q: 9.24. Let K be the splitting field of Xª – 2. In Section 9.10.1 we explicitly computed the fixed…

A: First of all, you should have provided section 9.10.1 for the reference and context. So as it is not…

Q: Find the sum: 200² - 1992 +1982 - 1972 +1962 - 195² +...+ 2² – 1.

A: We have to find sum of given series.

Q: Let f(x) = x, 0 ≤ x ≤ 1,0 otherwise. Find f3, the orthogonal space V3, in terms of the projections…

A: The Haar approximation space is a sequence of finite-dimensional subspaces of the space of…

Q: Activity 9.1.6. In the following questions, we investigate the use of traces to better understand a…

A: (a) The given function is fx,y=x2sin2yg . To identify y=0.6 trace for the given function. (b) And…

Q: Consider If 25* 11* = 4 mod 3, find x. 25 = 1 (mod 3) and 11 = 2 (mod 3),

A: a≡bmodmc≡dmodm⇒ac≡bdmodm

Q: The graph on the left below was the logo of the 9th Quadrennial Internatio Conference in Graph…

A:

Q: 10. F= (y2 +2²)i + (x² + z²)j + (x² + y²)k C: The boundary of the triangle cut from the plane x + y…

A: The given problem is to find the circulation of field by using the surface integral over the given…

Q: 2. Let f: RR be defined by x EnQ f(x) = { 4x, x² +4, x EQ Use the sequential criterion to show that…

A: f:ℝ→ℝfx=4x, x∈nℚx2+4, x∈ℚ

Q: A certain college graduate borrows 7752 dollars to buy a car. The lender charges interest at an…

A:

Q: 1) a) Using the Cauchy Integral formula (or otherwise) dZ compute the following integrals ez COSTIZ…

A:

Q: 6. Which of the following is NOT a tautology? OA(-4)-1 OB. AV (4) OC. [(AAB)-C] + [4-(BVC)] OE…

A: A tautology is a logical statement that is true under any interpretation of its terms.

Q: The r’s complement of an n-digit number N in base r is defined as r^n - N for N ≠ 0 and 0 for N = 0.…

A:

Q: The ciphertext 75 was obtained using the RSA algorithm with n = 437 and e = 3. You know the…

A:

Q: What are the dimensions of the following matrix? -9-2 685 -2 5 6 -3 X 8 -7 8-3

A:

Q: (b) F(p, u,x) = √√/p²+u²

A: Fp,u,x=p2+u2

Q: A third-order homogeneous linear equation and three linearly independent solutions are given below.…

A: Introduction: The particular solution of the homogeneous differential equation is the linear…

Q: Constants: a = 2, b = 2 Solve the following homogeneous system: x1 + x2 + 2x3 + x4 + x5 = 0 bx1 −…

A: The given problem is to find the solution for the given system of linear homogeneous system. Given…

Q: z = 12x₁ + 45x2 Subject to: 110 X2 10 12 ≤ x₁ + x2 ≤ 18 X1 x₁ ≥ 0, x₂ > 0 x2

A:

Q: Evaluate the integral 169 dx S 13 x(Inx) 4

A:

Q: = ant(n-1) ·+an-kt(n.

A: According to the question, To prove that the function fr_i(n) = r_i^n satisfies the given recurrence…

Q: Convert from spherical to rectangular coordinates. (Use symbolic notation and fractions where…

A: A coordinate in spherical coordinate system is given.

Q: cos(nπ) n+1 What is the nature of the series a. It does not converge, but does not diverge to +∞ or…

A: Series: A series is represented by ∑n=1∞ bn=b1+b2+b3+..., where bn is the function of n. A series…

Q: 19. A set of 8 numbers has a median of 19. If the numbers are arranged from largest to smallest,…

A: Given, a set has 8 number and has median 19. The numbers are arranged in descending order (largest…

Q: 4.7 Let S and T be nonempty bounded subsets of R. (a) Prove if S≤ T, then inf T ≤ inf S ≤ sup S ≤…

A:

Q: x"+2x'+x=t^2+1-e^x x(0)=0 x'(0)=2 solve the ivp

A:

Q: But the Mean Value Theorem only applies if the function is continuous AND differentiable.  Not…

A: For Mean value theorem, function should be differentiable on open interval (a,b) and continuous on…

Q: B) Find the cost function if the marginal cost function is C'(x) = 6x-2 and the fixed cost is $12.…

A: We have to find cost function in each part using given data.

Q: 5. -6-5-4 -3-2 نها Z .. 6

A: Given Graph --

Q: Find the area of the surface given by z=f(x,y) over the region R. f(x,y)=xy R= {(x, y): x² + y² <81}…

A: I have explained everything with in the solution. Please go through that.

Q: 4 sin(0) cos(0) + 2 cos(0) - 2 sin(0) - 1 = 0 Step 1 Begin by factoring the expression on the left.…

A:

Q: Consider the two vectors u=-4i +3j - 4k

A: Given the vector                            u=-4i+3j-4k. To find a unit vector in the direction of…

Q: i don't understand the last step ( expective value) $6 - $11) how did you get $6  and $11?

A: Find expected value of given game

Q: 7. Let x ER and A be a nonempty subset of R. If x is not a limit point of A then x is an isolated…

A:

Q: 5. Use an interval of 0.001 to determine the instantaneous rate of change of the function g(z) = 3z³…

A: To find the instantaneous rate of change of the function g(z) at z = -3, we need to use the…

Q: Show that the statement is true by drawing Venn diagrams and shading the regions representing the…

A: The statement is: A'∩B∪C=A'∩B∪A'∩C. We have to show that the given statement is true by drawing Venn…