Find the curl and the divergence of the vector field. F(x, y, z) = x²yzi - x³y k i + Submit Answer (div) Xj+ X k (curl)

Q: Evaluate S√√5- -2

A: topic:- integration

Q: Define the points Q(3,2) and R(8,- 10). Carry out the following calculation. Find the unit vector…

A:

Q: The graph of the function f(x) is shown below. At which point(s) is f not differentiable? At which…

A: Given the graph of a function. To find the points where the function is discontinuous or not…

Q: (8) A ITI system is described by the D.E. y +6 Y+8y=2XL) find h(t) then find y(t) if X(t) = té²t…

A:

Q: #2. Find the sum of the 8 n=1 1 (3n+ 1)(3n+4)

A: In given series we break the nth term of series as addition of nth term of two different series…

Q: aunauna Question 2 of 10 al a) Given the following piecewise function, evaluate each limit below:…

A:

Q: The graph of f is shown in the figure. The shaded region A has an area of 5.5, and Ja (6) (c) (d)…

A:

Q: Let f(x) = 4x6 In x f'(x) = Rounding to 3 decimal places, ƒ' (e²) =

A:

Q: -10 -9 N -8 -6 -5 10 6 8 7 6 5- 4 3 9 1 0 2 3 4 6 8 9 10 Т

A:

Q: Evaluate f cos*x sin² xdx. 1 16 A B O A 1 -x+ sin 4x 48 1 =x+ 16 1 8 sin 4x 1 64 1 sin³ 2x + C sin³…

A: We need to evaluate integral.

Q: 1. y" - 2y' - 3y = 5e¹, y(0) = 1, y'(0) = 0 2. y" + 2y + 5y = 3 sin(2x) 3. y" - 4y + 4y = -7x+4x²,…

A: Since you have posted multiple questions. As per guidelines we"ll solve only  first question. If you…

Q: Find a basis for the row space and the rank of the matrix. -2 -4 4 4 3 6-6-9 -2 -4 4 5 (a) a basis…

A: Use the fact rank(A)= dim rowspace(A)

Q: n = 2 ( xcct) · cos (nwot) at O = 2 + 25² 25+ (1+) Cos (2nrrt) dt 1² (1-6) -2 = 21 - ² = 2) - (t-1)…

A:

Q: Estimate the slope of the tangent line of the function y(t) = √√/4t + 1 at the point t = 3. (Use…

A:

Q: Find the area of the region bounded by the graphs of the equations. 9 x = 1, x = e, y = 0 x

A:

Q: doesn't

A:

Q: Graph the line with slope 3 passing through the point (-2,-2). 4

A: NOTE: Refresh your page if you can't see any equations. . the given slope is  and the given point…

Q: 3. The value of A. B. C. D. [xsản xdx (1 - x²) 3/2 + C -sin-¹ x - √1 − x² + ² - (1-x²) ³/² + C sin-¹…

A:

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A:

Q: Hannah can paint a room in 8 hours. Destiny can paint the same room in 10 hours. How long does it…

A: Given that Hannah can paint a room in 8 hours.and Destiny can paint the room in 10 hours.Our Aim is…

Q: A juice company has found that the marginal cost of producing x pints of fresh-squeezed orange juice…

A: The given data is: C'x=0.000007x2-0.0035x+5, for x≤350 Approximate the total cost of producing 279…

Q: Crystal made equal deposits at the beginning of every 3 months into an RRSP. At the end of 6 years,…

A:

Q: Sketch the graph of the function by first making a table of values. f(x) = 1

A: This question can be solved using the concept of plotting of graphs.

Q: 12. Consider the differential equation: 2a + (b₂+ a(a +1) df dz Z d² f dz² + a(a + 1) √(z) = 0₁ Z a,…

A:

Q: To evaluate the integral 3 100 + x² -dx, which of the following substitution shou be used? Select…

A:

Q: Find d79 dx79 (-7 cos (x)). Provide your answer below: 879 dx79 (-7 cos(x)) =

A: The answer is given below:

Q: Write an equation (any form) for the quadratic graphed below 4 3 2 -5 -4 -3 -2 -1 y = 1 -2 -3 1 2 3…

A:

Q: Find the surface area of a cylinder with a base radius of 2 in and a height of 6 in. Write your…

A: base radius = 2 in height = 6 in find the surface area of cylinder = ? surface area of cylinder = A…

Q: Drug Sensitivity One hour after a dose of a milligrams of a drug Predamestane is administered to a…

A: Let's find sensitivity of the body to a dose of 2 milligrams of predamestane.

Q: Find the areas of the regions enclosed by the following curves. (a) r= 1+2cosł

A: Given :r=1+2cosθ

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A:

Q: 00 Σ (5 sec1(k+1)-5 sec -¹k) k=1 Sn= Select the correct choice below and, if necessary, fill in the…

A: For a series ∑an the sequence of partial sum Sn is just the sum of the series for first n  terms.see…

Q: Find the solution of the given initial value problem in explicit form. 114 y(x) = y' = (1 – 3x)y²,…

A:

Q: Find a formula for the nth term of the sequence. 1, 4, 9, 16, 25,... Determine the sequence's…

A:

Q: For the polynomial below, -2 is a zero. f(x)=x² - 4x² - 6x + 12 Express f(x) as a product of linear…

A:

Q: Question vector equation r(t)=. Show that the point Let C be a curve defined by the P(-5, 11, ¹) ies…

A: Solution of given question is written in below steps.

Q: Alfredo and Alicia are having an ice skating contest. They skate along a long, straight track and…

A:

Q: Calculate the appropriate limit to determine the equations 32³+2+1 f(x)= ar 2-1³ asymptotes for of…

A:

Q: Evaluate the limit using the Basic Limit Laws and the limits limx→ (Use symbolic notation and…

A:

Q: The distance between cities A and B on a map is 12.75 in. The distance from city B to city C, is…

A:

Q: 1. Write the x and y coordinates of any point on the unit circle in terms of the angle corresponding…

A:

Q: Determine the general solution of the given differential equation. -t y""+y" + y + y = et +9t NOTE:…

A:

Q: 2 (x + 1)(tan y)y = x

A:

Q: 1o₂ = 2 · (² x (t) ·cos (nwot) at + = + [² 2 a 2¹ (1-4) Cos (2nit) dt =21 (1-t) 2 [- (t-1) Sin…

A:

Q: Find the least squares regression line for the points. (0, 0), (1, 1), (3, 6), (4,7), (5,8) y= Use…

A: The given points are 0,0,1,1,3,6,4,7,5,8

Q: 2 (sin x cos x + x) + C - 2 (sin x cos x + x) + C (sin x cos x + x) + C -(sin x cos x + x) + C [(cos…

A:

Q: state the domain and range for each of the following:

A: Given set of points S={(-3,-2),(-2,-1),(-1,0),(0,1),(1,2),(2,3),(3,4)} We know that domain is the…

Q: Determine whether the alternating series Σ (- n=1 COMING (-1)+1 8 converges or diverges. Choose the…

A:

Q: Write an equation for the quadratic graphed below x-intercepts: (-3,0) and (1,0). y-intercept:…

A:

Q: Use the rational zeros theorem to list all possible rational zeros of the following f(x)=-3x² -…

A: