3. Let V = 6xy?z³ + 5 In(x² + y? + 3z²)V in free space. Evaluate each of the following quantities at P(2,3, –1), find: a. V b. E c. |J|| d. D

Q: Consider the series > 1 + x7n. n = 1 (a) Find the series' radius and interval of convergence. (b)…

A: Here we determine the radius of convergence using root test. Every power series is absolutely…

Q: Element X is a radioactive isotope such that its mass decreases by 26% every year. If an experiment…

A: Given that a radioactive element whose mass originally was 490 grams is reduced 26% every year. To…

Q: Why did the solution stopped at 6th iteration

A: The given system of equations is given below. 15C1  −3C2   −C3=3800−3C1+18C2 −6C3=1200−4C1…

Q: Use the model found above to answer this question. What is the estimated revenue of Amazon in 2049?…

A: Solution

Q: (a) The speed of a motor supplied with a voltage input of 30V, assuming the system is without…

A: Given: 30=0.02dwdt+0.06w To find: a) Euler's method and Heun's method b) Reducing the error

Q: Element X is a radioactive isotope such that its mass decreases by 26% every year. If an experiment…

A: Solution

Q: s - 11 s2 – s - 12 2. Find L-1

A:

Q: Sin/n Converges Showthat the series fcx) = uniformly R. n=1

A: We have to show that the series  f(x) = ∑n=1∞sin xnn converges uniformly on ℝ.

Q: (a) Discuss the two expressions -2 (x;- F )² and -7), both of which are uscd (n –1)=1 (n-1 to…

A:

Q: Given a sphere in center-radius form, how will you get an equation tangent to only one of the…

A:

Q: Use a triple integral to determine the volume V of the region below z = 6 - x, above z = -2Vx2 + y2…

A: The given curves are z=6-x, z=-2x2+y2 and x2+y2=3 with x≤0. To find: the volume of the common…

Q: 2" + 7" Determine whether the series 9h converges or diverges. If it converges, find its sum. n = 1…

A:

Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y'= eV1--, y(0) = 0…

A:

Q: Solve the following system of equations by the elimination method. Check the solution(s). 3x + 4y =…

A:

Q: 00 Jerror| < 0.0007 n=1 Term: n =

A:

Q: Abstract algebra higher level 1. If A and B are both normal in G. then 1. AB is a subgroup of G 2.…

A:

Q: (b) Let R be the region in the positive quadrant bounded by the straight lines 4x, and by the…

A:

Q: Utt || for 0 < x < T u(x, 0) = x? u:(x, 0) = }cos(8x) Uz(0, t) = u„(r, t) = 0

A:

Q: Given the following: 1u and v have an angle of 70° between them il. Jul = 40 and v = 30 ili, w = u+V…

A:

Q: Find the area a) Inside the lemniscate r = 6 cos 20 and outside the circle r = V3.

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: A pet toy manufacturer is designing a plastic ball for dogs that will float in water. In order for…

A: Solution

Q: Using Laplace Transforms Method, solve the following Differential Equations 1. y' = 2et with y(0) =…

A:

Q: also forgot part c) The interval of convergence is:

A: Solution

Q: Lak at lhe function fou- x for os 2-X fos I<X<2 for otherwise Find ao, Qn and bn

A: Given the function is fx=xfor 0≤x≤12-xfor 1&lt;x≤20otherwise

Q: A basic cellular package costs $30/month for 60 minutes of calling with an additional charge of…

A: In this question, the cost function is given. For the corresponding bill, the maximum number of…

Q: 1. through the points P(1, -3, 2) and Q(9, 2, 0) [vector equation] 2. with direction vector d (5, 3,…

A:

Q: Find the indicated area: - 9. The area common to the circle r = 2 and the cardioid r = 2(1- cos0).…

A:

Q: Solve the differential equation below over the interval from x = 0 to 1 using a step size of 0.2…

A: We have to solve the given problem analytically.

Q: The sum of three numbers is 6. If we multiply the third number by 2 and add the first number to the…

A:

Q: if the function (value) is increasing over an interval, then the average rate of change for what…

A: The average rate of change is f'x If a function is increasing for a&lt;x&lt;b then f'x&gt;0 for a,b…

Q: Use determinant to solve the system 2x + 3y = z +1 3x + 2z = 8 - 5y x - 2y - 3z = -1

A:

Q: b) Abigail (A) and Balan (B) want to share a pizza of size 1. Suppose both agents have the same…

A:

Q: $8,000 is invested in an account earning 8.7% interest (APR), compounded continuously. Write a…

A:

Q: A region is enclosed by the equations below and contains the point (2,8). y = 8 sin y = 8(z- 2)°, y…

A:

Q: Use the power series TiE(-1)x", \x| < 1 n- 0 1 + x to find a power series for the function, centered…

A:

Q: 1 1 in M22. Given the vector -2 1 The system you need to solve to determine whether the given vector…

A: Let V be a vector space and S be a finite subset of V,  If v  be a vector of V span by the element…

Q: dt b) + 5y = 2, y(0) = 0 dt c) 3+y = 2, y(0) = 0 dt d²y dy d) 4, y'(0) = y(0) = 0 dt2 dt

A:

Q: f(t) = [1 – u2m (t)](2 sin t – sin 2t)

A:

Q: If Two Entire Functions Agree On A Segment Of The Real Axis, Must They Agree On C? Jse

A: Let f and g be two entire functions agrees on a segment of the real axis. Without loss of…

Q: 2- The sequence 0-A B C-0 of R-modules is exact if and only if, fis injective, g is surjective, and…

A:

Q: sin(x ) Evaluate: [ - dx 2 x cos 4

A:

Q: 4. x"(t) – x(t) = 4Cost with x(0) = 0, x'(0) = 1 5. y"(t) – 6y'(t) – 9y(t) = 6t²e3t with y'(0) =…

A:

Q: 0. F A particie moves along a norizontal line. Its position function is s(t) problem, find the…

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

Q: Compute the area enclosed by the curves. You must show your work. Express your answer as a fraction.…

A:

Q: 3 Celia plans to invest £4500 that offers r% nominal an. compounded monthly. Aft has £5803.94 in the…

A:

Q: x(t) = cos(2nt + 1)

A:

Q: 8. Use finite differences method to classify the following relations as linear, quadratic or…

A: In this question, the concept of the finite differences method is applied. Finite Difference Method…

Q: Letf(x) be defined for all x>0 and be continuous. Let f(x) satisfy f =Ax)-fy) for all x, y and f(e)…

A:

Q: Solve the initial value problem (3+x*)y" + 4y = 0, y(0) = 0, y(0) = 12. If the solution is y = co +…

A:

Q: Find the LU-decomposition of the 3 x 3 matrix 6 -9 A = 2 5 -3 -4 1 10 The triangular matrices L and…

A: