3. Answer the following questions. Show all solution steps: x3√ √y6 z4 a. Simplify: xm y² z-5 X 2(x4y7)⁰ ÷ 16+m x-2 (m+5) b. If an agriculture land with perimeter equal to (2 meter. Find the length of the land. (Hint: the land is rectangular in shape and it's perimeter can be calculated by: perimeter =2 (length+ width). meter and its width is (

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

A:

Q: is the curved line enclosed by the circle.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: BA)Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: Given  function f(x,y,z) =x2y2z2-4     …………………………i ∇f=2xy2z2 i^+ 2x2yz2 j^ +2x2y2z k^ ∇f|at…

Q: 8. What is the period for this relation y = cos(4x)

A:

Q: Use a variation model to solve for the unknown value. The body mass index (BMI) of an individual…

A: If a varies directly  as b, then it can be written that a∝b. If a varies inversely as b, then it can…

Q: 4- For the equations shown below, use the simplex method and find the values of the key column for…

A: Given:MaxP=10X+10Y+30ZThe constraints are300X+10Y+20Z≥30020X+10Y+20Z≥10050X+40Y+30Z≥80We have to…

Q: this is copied from chegg. Not even the same question

A: As per the question we are given a function as : f(x) = 4cos(x) And we have to find the maximum…

Q: 1. If x and y are two unit vectors such that (x + y) is also a unit vector, then find the angle…

A: As per our company guidelines we are supposed to answer only the first question. Kindly re Post the…

Q: Let 21 = 2(cos(267) + sin(267)) and 22 = 18 (cos(60) + i sin (60°)). Compute each of the following…

A:

Q: ! The Taylor series of the function f(x) = cosx at x=0 is (1)nx²n Σn=0 (2n)! Option 1 (−1)nx²n Σ=0…

A:

Q: Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial…

A:

Q: If you are going to fill up all the squares in a chessboard. By filling up the first square with…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Consider the taylor expansion of f(xo-Ax) in the neighborhood of Xo, the coefficient of Əx is

A:

Q: Q5A) Find volume of body from above Z=√√4-x² - y² and below Z = 1 using Triple integration.

A:

Q: Choose the correct sum of the following geometric series Σο(!)" Option 2 Option 1 Option 3 13 3 1|2…

A: I have given the answer in the next step . Hope you understand that

Q: let a=2+7i b=4-2i Choose the correct result of a/b* O (6-361)/20 O (-6+361)/20 O (-6-361)/20 O…

A:

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: Glenn and Kim are members of a comedy troupe that has 10 members in all. How many ways can the 10…

A: Given that total member in comedy troupe is 10. In the line up Glenn and Kim stand side by side.

Q: Use the limit comparison test to determine if the following series converges or diverges. Σn=1…

A:

Q: Q3A) Find normal line and parallel plane to the function f(x, y, z)= x³y²z² - 4 At point (1,-1,2).

A:

Q: D) Consider the following expressions for the initial conditions: f(x) = 0 and g(x) = ) = 0 and g(x)…

A: As per the question we are given the infinite series solution u(x,t) of a damped vibration wave…

Q: Choose the correct solution the following differential equation * x²-x+1 y(1) = // x

A:

Q: Q2A)Matrix A = [43],find Eigen values of A².

A:

Q: (a) i. Determine the bilinear transformation that maps the points 1 - 2i, 2 + i , 2 + 3i…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 36. The problem below shows steps in finding the product of two two- digit numbers using this…

A: First we need to find first entry and then we do normal multiplication as always do.

Q: a. 36. The problem below shows steps in finding the product of two two- digit numbers using this…

A: We find first blank space and then do normal multiplication. For finding first entry let it is x_1.

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

A:

Q: TRIANGLE METHOD: 1. Given two vectors A = 70 m 60° N of E and B =35 m 30° S of E. Determine their…

A:

Q: 3. Find the correct form of x(s) and stop. State x(s) as a single fraction. x" +7x' + 6x = 2t x(0) =…

A: Explanation of the answer is as follows

Q: T²- sin x 3 √(x − 1)² - =dx

A:

Q: Q2: Find a root of Xlog 10 X - 1.2 = 0 using Newton's Raphson method correct to three decimal…

A:

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" +…

A:

Q: (sin³r} = {1-co52} and find the Laplace transform: S 1 2 -3²+2 S 1 2 O 1(1 1/1 S +4 +2

A: Given formula of sin^2 t is in terms of cos2t. For detailed solution, visit step 2.

Q: Find the solution of the initial value problem y" - 2y3y 15te²t, y(0) = 2, y'(0) = 0. = NOTE: Enter…

A:

Q: b) Use the Gauss-divergence Theorem to find the surface integral ff, F.n ds, where S is cylinder x²…

A: As stated in question we will use Gauss-divergence Theorem to solve this question.

Q: 2. Suppose a large mixing tank initially holds 300 gallons of water in which 40 lbs of salt have…

A:

Q: what is the result of the lirectional multiplicaciohof herectors =3₁-1₁2] [ 4.2.1]

A:

Q: Solve differential equation dy -(x²+y) x+siny

A: We have given a differential equation , dydx = -x2 + yx + siny This is exact differential equation.…

Q: Assume A and B are independent events with P(A)= 0.6 and P(B) = 0.7. Find (a) P(An B), (b) P(A U B).…

A:

Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

A:

Q: Integrate f(x) = 0.5 + 20x + 3x4 from a=0 to b=3, given N=12 by using a) Simpson's 3/8 approximation

A: Simpson's 38 rule: ∫abydx=3h8(y0+2(y3+y6+...+yn-3)+3(y1+y2+y4+y5+...+yn-2+yn-1)+yn), where h=b-aNand…

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y"…

A:

Q: Q6A)If y = sin¯¹(-) find Zxy .

A:

Q: f L{f(t)} = y(s), then L{ƒ'(t)} = sy(s) + y(0) y(s) - y(0) s²y(s) sy(s) - y(0) خبار 2 الخيار رقم 1

A:

Q: (a)Let f(x, y) be defined on (a, b) x (c,d). (i)Give an example to show that existence of partial…

A:

Q: II. Prove the following assertions using indirect proof. a. If x² is integer greater than zero, then…

A:

Q: Prove the following assertions using a direct proof. d. If x is odd integer, and y is even integer,…

A:

Q: Let 21 = 2(cos(267) + i sin(267')) and 22=18(cos(60) + i sin (60°)). Compute each of the following…

A: Explanation of the answer is as follows

Q: B)Convert r = √2 cos(0-) to cartesian.

A:

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y"…

A: