Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas of the labeled regions are A3 10 15 A2 7 4 A1= 8, A2-4, A3=1 and A4-1 10 10 (figure is NOT to scale) V = 3.

Q: 10. Let o: Q(V2) → Q(/2) be the map given by ø(a+bv2) = a-bv2. Show that is a Q-linear field…

A: We have given a map ,  ϕ : ℚ2 → ℚ2  such that , ϕa + b2 = a - b2 We need to show that , ϕ is an…

Q: s(s² + 4) - f(t) = ;(1 – sin 2t) . f(t) =(1 – cos 2t) C. f(t) = (1+ sin 2t) D. f(t) =(1+ cos 2t)

A:

Q: Si6-X2 dy dx q +x?+y

A:

Q: Brent Pickett borrowed $7000 from his brother Dave. He agreed to repay the money at the end of 5…

A: It is given that Brent borrowed $7000 from his brother Dave. He will repay the borrowed money at the…

Q: Show that the Substitution XZe e reduces the eguation y=9G) ()6 =fっ+,パx9+パで6

A:

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -8, 4), and the plane given by…

A:

Q: EULER DIAGRAM. Determine if the following arguments are valid or invalid. 1. Some skaters drink…

A:

Q: Solve the differential equation with the appropriate method. Finalize answer equated to y.…

A:

Q: (b) Let k E Z. Show that {x E Z | x divides k}C {y €Z ] y divides k2}. (c) Show that the set {x E N…

A: The answers are in the next steps.

Q: (a) Plot the point with cylindrical coordinates (2, 27/3, 1) and find its rectangular coordinates.

A:

Q: Compute ten convergent iterations using Jacobi and Gauss-Seidel method for the following sy stem of…

A:

Q: whathis the chifHfeme betueen Cautinity gnal Vaitamıy Continity?

A: Use definitions to write the difference.

Q: Use the present value formula to determine the amount to be invested now, or the present value…

A:

Q: A recent high school graduate received $600 in gifts of cash from friends and relatives. In…

A: Here given is The student has a total principal amount, P=$600+$250+$300+$1500=$2650 Interest rate…

Q: Using of fourth oxdese with Ringe-kutta method Solve dy (0)%3D1at 2. | 22 2. 2=0.2,0.4

A:

Q: From the system x' = -x + 5y og y' = -y We know that the vector function (top of picture) is a…

A: We have to find the general solution of the given system.

Q: Determine the intervals on which f(x) is positive and on which f(x) is negative. f(x)=x*-3x+8x-10x-S…

A: Given function is fx=x4−3x3+8x2−10x+8. We have to determine the interval on which fx is positive and…

Q: dv 18, 000 – 0. 150? dt 3000 – 6t and solve this numerically using Euler's method in MATLAB with the…

A:

Q: E =U E, E; E;= 0, i ± j. Ej, %3D

A:

Q: Queston1 use the Subititution Iy =u 9) (xy41) dx +2x²y=0,

A:

Q: Evaluate the Legendre symbol (55|179) using only the definition and multiplicative and mod p…

A: We need to evaluate Legendre symbol , 55179 We know that , Quadratic reciprocity law ,  If p and q…

Q: 2 ft P 3 ft Q 1 ft 2 ft 4 ft R 6 ft 3 ft 4 ft

A: Here the given rectangles are

Q: What effective rate is equivalent to a nominal rate of 5-% compounded quarterly? Select one: O 5.35…

A: Given: Nominal rate=514==214=5.25%

Q: to wex'tan'! ( x+y" ×キツ

A:

Q: 5s s+4 s2 + 16 -f(t) 3e 4t-5 cos 4t C. f(t) = 3e¬t - 5 sin 4t .f(t) = 3et-5 cos 4t D. f(t) = 3et - 5…

A: Given Laplace transform is F(s) = 3s + 4 - 5ss2 + 16

Q: Verify the Stokes's Theorem for the calculation of the work done by the vector field: F = (r, y²,…

A:

Q: G8. Construct the graph where the vertices are you, your parents, and your grandparents with a…

A: Given : Vertices- you, parents and grand parents Relationship- born in same state.

Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (6,…

A: The equation of plane parallel to YZ plane

Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's…

A: Introduction: Simple interest is a way of calculating the amount of interest charged on a sum at a…

Q: 2. Find the centroid of the area bounded by y = 4x – x² and the x axis. a. Sketch the area and find…

A:

Q: A class has 14 girls and 12 boys and a committee of 5 is chosen. What is the probability that this…

A: Use the given information.

Q: Q2\ Solve the following linear programming problem by using the simplex method: Max P = 3x1 + 2x2 +…

A:

Q: Evaluate by Exact D.E. (2xy – 3x²) dx + (x² + y)dy = ( Oc= =y+x² + % 2 Oc = x²y – x³ + y? %3D 2 Oc =…

A:

Q: 1. (3x'+ 2y')dx + 2xydy=0

A:

Q: 0, 2) → R defined by: -1 0<x <1 1<r< 2 Sketch the Half-Range cosine series forf | = { Calculate the…

A:

Q: 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the…

A:

Q: [4 -2 2 A = 2 2 -2 4 Step 6: Find the matrix P-1. a Answer: P-1 de f g h i First row of P1: a= -1 ,…

A:

Q: Shiing Shen Chern's credit card company determines his minimum monthly payment by adding all new…

A: The complete solution is in given below

Q: x9 denctes (ptq)/q. (a). Find the value of x when X* CO =4 6) Solve the equation 2* x=x * 32

A: The property of the operation * states that p*q=p+qq. Use the property of the operation * to…

Q: Given the function f(x) = cos(x) - sin(x) defined on the interval [0.0, n/2]. The angle is in…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Solve for the following application of first order differential equations. Show your solutions. 2.…

A:

Q: Find E[Y(z)] when Y(z) is given by 2z' + 6z² + 5z + 1 2(2z + 1)

A:

Q: How many committees could be formed from 10 students if: a) there must be at least 8 people? b)…

A: Introduction: The number of different ways in which r different objects can be selected out of n…

Q: H.W 1-Find a point that belongs to the curve y 2x + 12x + 2 where the tangent at this point is…

A: Given curve is y=2x2+12x+2 and a line x+3y+1=0. We have to find the a point that belongs to the…

Q: A cake valued at $90 is divided among five players (P1, P2, P3, P4, P5) using the last diminisher…

A: Given: There are five players on the team, each with a cake value.At the end of round 1, their…

Q: Determine the effective annual yield for $1 invested for 1 year at 3.9% compounded quarterly. The…

A:

Q: 2. Let 3nr? + cos nr In (r): %3D (a) Find the pointwise limit of (gn) on R. (b) Is the convergence…

A:

Q: Write the expression below in the form (a+ b) 1296x2 - 4320x°y + 5400xy 3000x'y + 625y

A:

Q: Instructions: Find the integer value of 16y(/3) 3/3 if y solves the initial value problem y" +y = 0,…

A: