Show that the differential form in the integral is exact. Then evaluate the integral. st (4,0,3) sin y cos x dx + cos y sin x dy + 6 dz (1,0,0)

Q: 1. N 2. 3. 4. X # X XX D E B :: C O ماده با - C ? D E ? E ? ?

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

Q: Use separation of variables to find a product solution to the following ди ди = дх ду И=c - (;) Pu=q…

A: Partial differential equation is a differential equation in which there is one independent variable…

Q: Use Simpson's Rule to evaluate the following. n = 10 3 1 dx -3 1+x²

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

Q: K be a field extension of a fi is algebric over F if and only of 5 that [56)

A:

Q: 8. Let F be a field and let f(x) be an irreducible polynomial in F[x] Then if the characteristic of…

A: Let f(x) be an irreducible polynomial in Fx. The characteristic of F is zero. To show: f(x) has no…

Q: 5. y=x³, x = 0, y = 8; about X = 2

A: The region is

Q: Find general solutions for the given differential equations 6. (x+22³)dx + (y-2y2)dy = 0. 7. y' -…

A:

Q: 5) Suppose that f(0.75) = f(0.25) = ß if the composite trapezoidal rule with n=2 gives the value 4…

A:

Q: Craig, Daniel and Edward shared an amount of money. Craig took 1/3 of the total amount of money.…

A: Let x be some number  1n of the number means 1n x Twice of the number is 2x

Q: Find Oun equation of the tangent Lime to the curve given by - equation x³_ 3y - xy² = - 3x at point…

A: The tangent is the line that just touches the function at a single point. In this problem, the…

Q: A purchase order for the book The Mathematics for the Modern World by Dale Hathaway with the ISBN…

A: Each edition and version of a publication is given its own ISBN. A distinct ISBN will be assigned to…

Q: The temperature, 7 °C, in an office is controlled. For a particular weekday, the temperature at time…

A:

Q: find the residue at each pole of the function 1 f(z) = (2² - 2x + 2)² 2z

A:

Q: Let g and h be both differentiable functions. Also g, h e R. Suppose that g' = h and h' = -g on R.…

A:

Q: Solve differential equations 1. y - xy = 0; M(1,1). - 2. y4y² = 1; M(1,0). 3. y 4. yy ry³ = 0;…

A:

Q: Find the unit vector in the direction of v. v = -6.7i + 3.7j

A:

Q: 2. Write the following double integral ye dA R in iterated form where R is the region bounded by y =…

A: This is a question of multi-variable calculus.

Q: 3. a) Compute: f (Rez-32) dz where I is a directed line segment from z=0 to z=i. b) Let C be the…

A:

Q: s+10 B:1: Solve 1. L { t²cosat) 2. L-1{2+₂} (s²-s-2)

A:

Q: On a college campus of 3000 students, the spread of flu virus through the student is modeled by…

A: The logistic growth rate model always produces an exponential function. If the model contains the…

Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. y = 2², x² + z²₁ y =…

A:

Q: Solve equations: 10. y == y x+y 8. y 3y+M(1;1) x M (0; 0). -; 9. xy = x + 29: 11. g =2ry+1;M(0;0)…

A: Note:-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: A 25 C 75 3 ull₂ = 8,ab= 25 then (a + b)2²= B 100 D 50

A: The solution is given as

Q: Example 8.27. Using trapezoidal rule, evaluate I = 1²₁² dxdy, taking four sub-intervals. r+ v

A:

Q: Let D be the portion of z = 2z + 5y inside z² + y² = 1, oriented up, and let F = (y, z, -z). Compute…

A:

Q: Let the total population size at time t be denoted by N(t). We divide the population N(t) into four…

A: As per the question we are given a population model through a system of dynamic equations relating…

Q: Find the curl of = pz²cos(p)a+zsin²(p)a₂ O None of the choices O2zsin (4)…

A:

Q: The table below represents the number of loans approved for different amounts during the second half…

A:

Q: s+10 B:1: Solve 1. L { t²cosat) 2. L-102)

A:

Q: ds dt dQt dt dP dt = μ-μP-BPS, :-(µ + y) S + BPS + αSQ₁ = = −µQ₁ - αSQ₂ + y(1-0) S.

A: As per the question we are given a population model in terms of dynamic system. And we have to find…

Q: 7. Let A and B be sets, and let f: A → B and g: B → A be functions. Suppose that: • go f(a) = a for…

A:

Q: An open box with a volume of 128 cm3 can be made by cutting a square of the same size from each…

A: Square: A closed and two dimensional shape with four equal sides is called a square. Each angle of…

Q: 3) For the function f(x)=2* the two-point formula to approximate the first derivative of fat xis…

A: Solution

Q: Write the general solution if the ODE and its solutions are given as follows. y (4) + y" = 0 ;…

A:

Q: Let x, y € R" be given. (a) If ||z||||y||=1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1 and ||y||…

A:

Q: 2) f(x)dx= 0.5 by using Simpson's rule with h = 0.5 then b= A 15 B2 CI D 2.5

A: Option c is correct

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 246 cm.…

A:

Q: 10. Use a number line or an illustration to solve the following problem. Also state what division…

A: Total weight of turkey is given as 234 pounds and the weight of turkey 38 pounds.

Q: Consider the sequence of functions {f} defined on the interval [0, 1], where fn(r)= nx 1+n²r²¹ Vx €…

A:

Q: consider the following: u = , v = (a) Find the projection of u onto v. (b) Find the vector…

A:

Q: Directions: Translate each argument into symbolic form (using the suggested letters) and determine…

A: We need to translate given argument into symbolic form and then we need to determine the validity of…

Q: Example 10.20. Using Milne's method find y(4.4) given 5xy + y²-2=0 given y(4) = 1, y(4.1) = 1.0049,…

A: Solution : Given, 5xy'+y2-2=0 ⇒y'=2-y25x Table of x and y x 4 4.1 4.2 4.3 y 1 1.0049 1.0097…

Q: Let A € M₂ (R) be given. (a) If AA 0, prove that A= On. Does this hold if A € M₂, (C)? (b) Suppose…

A: These are the problems from linear transformation.

Q: Find general solutions 17. y" - 4y = -12r² +6x-4; 18. y"+y+y = -13 sin(2x); 19. yy=e+xz; 20. y" - 4y…

A: 19)  We have given a differential equation ,  y'' - y = ex + x First we will find complementary…

Q: If H₁ and H₂ be two subgroups of group (G,*), and if H₂ is normal in (G,*) then H₂H₂ is normal in…

A: When a non-empty subset of a group follows all the group axioms under the same binary operation, the…

Q: s+10 (s²-s-2) B:1: Solve 1. L{t²cosat} 2.L-¹ { {}

A:

Q: is R* is contractible?

A: This is a problem of Topology.

Q: Determine the convolution of the following signals using z-transform: 1,(0)-(-)-(4-1). 20)-[1-()*1.0…

A: As per the question we are given two discrete signals x1(n) , x2(n) And we have to find their…

Q: Let K be a field extension of a field F and let alpha in K. where a neo and a is algebric over F.…

A:

Q: C: 3:Use Gamma & Beta properties to evaluate : 2x¹e¹-x dx

A: