1. Which of the following is the product of complex conjugates? a? - b? O a² + b²) O Va? + b² )(a² – 6²) O a? + b2 O Va? – bº) |

Q: Evaluate the line integral, where C is the given curve. (x + 5y) dx + x2 dy y (5, 1) (6, 0)

A:

Q: Find the maximum volume of sphere that may be completely submerged in a cone of height 5 m. Express…

A: To find the maximum volume of the sphere that may be completely submerged in a cone of a height of 5…

Q: Calculate the circulation of the field F around the closed curve C. Circulation means line integral…

A: Please check your options.

Q: 2. Let A:= {1,2, 3, 4} =: B and T:= {(a, b) E A x B | l e Z}. (a) Find A x B. (b) Find T (c) Check…

A:

Q: Using the laplace transformation formula, ∫ f(t) e^−st dt evaluate L[3 sin(-3t) – 4 cosh(-4t)]

A:

Q: Prove that the randomized Hadamard transformations are orthogonal transformations. Assume that the…

A: Given that Handmard  transformations Therefore, we assume that H2N=HnHnHn-Hn with H1=1 Therefore,…

Q: Find the simple interest on a loan of P65,000 if the loan is given at a rate of 20% and is due in 3…

A: Since you have posted multiple questions and we can answer one question. So, answering the first…

Q: Calculate the flow in the field F along the path C. Flow means line integral F = y 2 i + z j  + x…

A:

Q: Solve the following PDE: а. у иху +и %3D 0 a²u a2u + at2 = 0 b.

A: Solution :-

Q: Prove that 3 is irrational number.

A:

Q: Find the Laplace transform of f(t) = t´ using direct integration. Show your solution. 1 s4 2 2 s4 1

A:

Q: ry? V1+ x²

A:

Q: 14 (1). If f (x, y) = -x³ + y* - 3xy + 9x? + y, then in the process of obtaining its critical points…

A: Given that fx,y=−x3+y4−3xy+9x2+y

Q: 2x y +1 Consider the following statements about the surface of equation In(y) + 1 and the point…

A:

Q: е problem. ) An elliptical riding path is to be built on a rectangular piece of property that…

A: Solution

Q: ||r(t) x r"(t)|| Use the formula k(t) to find k(t). r(t) = 11 cos(t)i+ 11 sin(t)j + 6tk K(t):

A: Given :  r(t) = 11 cos(t)i + 11 sin(t)j + 6tk To find :  We have to find k(t),   where   k(t) =…

Q: 5. 10 20 60 30 40 50 200 230 264.5 304.17 462.61 y 349.8 402.27

A: We have, For Linear the rate of change test is  y2-y1x2-x1=fx2-fx1x2-x1=m For exponential functions,…

Q: A point is translated 7 units down and 3 units to the right resulting in the coordinate (-12, 1).…

A: The given point is (-12, 1)

Q: Consider the linear system X' = AX of two differential equations, where A is a real coefficient…

A: Solution

Q: matix for a game is given by 2 -3 Compute the expected payoffs of the game for the pairs of…

A: Given : The payoff matrix 2-3-31

Q: Determine the vector field of F. F(x, y) = 6i – 2j

A: The general form of a vector-valued function in two dimensions is given by F=F1i+F2j, where F1 and…

Q: For the following matrix, do a valid row operation to get a 00 in row 2, column 1:     11 −2-2 00…

A:

Q: QUESTION TWO A company has three main departments, which are Sales & Marketing, Inventory and…

A:

Q: pivot in the simplex tabléäu. X1 X2 X3 $1 $2 S3 6. 2 4. 4 6. 1 1 6 1 1 1 - 3 1 0 1 e pivot is…

A: In this question, the pivot in the simplex table is determined. Simplex Method A simplex approach is…

Q: luate the surface integral. // (x + y + z) ds, S is the parallelogram with parametric equations x =…

A: Sub x= u+v  y= u-v  z= 1+2u+v

Q: Use induction to prove 12 + 22 + · . . + n² n(n+1)(2n+1) 6.

A:

Q: Test the applicability of the second mean value theorem to the functions (i) f(x) = cos x and g(x) =…

A: The given functions are                          (i)  fx=cosx and gx=x2                        (ii)…

Q: 1. When is the null hypothesis rejected? 2. What conclusion can be derived if tcomputed= 2.13 and…

A:

Q: Maricopa's Success scholarship fund receives a gift of $ 120000. The money is invested in stocks,…

A: To find the money invested in three different form with some given conditions. Here we will use…

Q: π L1 2. z(4 +s),

A:

Q: 1. The position function of a particle is given by s(t) = t³ – 6t²+9t – 60, t > 0 is given in…

A:

Q: Find the area enclosed by one loop of the lemniscate with equation r2 = 49 cos 20 shown in the…

A: To find the area enclosed by one loop of the below polar curve. r2=49cos2θ

Q: Definition 12.1.5. If two sets can be put into one-to-one correspondence then they are said to have…

A:

Q: You save 500 each month by depositing into an account earning 7% monthly. After 15 years you stop…

A:

Q: Find the truth value of the given statement. Assume that p is true, q is true, and r is false. p-(q…

A:

Q: Prove that if A, B, and C are n × n non-singular matrices, then (ABC)-1= A-1B-1C-1

A:

Q: The velocity function of a moving particle on a coordinate line is v(t) = t2 + 3t − 10 for 0 ≤ t ≤…

A: Given that The velocity function of a moving particle on a coordinate line is v(t) = t2 + 3t − 10…

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

A:

Q: Alice chooses her password using Pokemon name. She randomly picks X Pokemons, take the first 3…

A: WPA2-PSK password can have minimun 8 character to 63 character. Alice choose he password using…

Q: Consider the following initial-value problem. -1 -2 X' = + X(0) = (:)- Find the eigenvalues of the…

A:

Q: 2. Find the volume of the solid contained in the cylinder æ? + y? 1 below z = (x+ y)? and above z =…

A:

Q: B. Find the area of the region bounded by the following: 19. inside =5sin O and outside =2+sin 0

A: Area between Polar curves

Q: Let V be the subspace of R' spanned by vi = (1, 3, -2, 2, 3 ), v (1, 4, -3, 4, 2 ), v3 (1, 3, 0, 2,…

A:

Q: A spring with constant k = 2 is suspended in a liquid that offers a damping force numerically equal…

A:

Q: 2 1) 3

A:

Q: 2s-1 's²-6s+18*

A:

Q: 3 2(5 + V4i) i=0

A: Given series is ∑i=135 + 4i

Q: Describe the graph of the equation. r = (7 – 21) i + 10rj O It is a line in 2-space through the…

A: We have to describe the graph of the given equation

Q: Write the Egyptian numeral using a Hindu-Arabic numeral. The symbols are shown below. 10 100 1,000…

A:

Q: 22 Describe how we would prepare the following 22 solutions: (a) 250 mL of a 3.6% w/v solution of…

A: (a) Given  Volume of thesolution to be prepared = 250 mL Concentration of solution in water to be…