Given: Let B (x, y, z) (xz, yz, 3x² - z²). 1. The task is to identify the work done by B on a particle going from point (-1,1,-2) to (2,4,4) along the curve R (t) = (t, t², 2t) =

Q: Find the length of curve x = t², y = t³ from x = 0 to x = 5.

A:

Q: hand written plz 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = (a) Sketch…

A:

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. X₁ 1 y=6 1…

A:

Q: y = (b) -8 -2 ere to search - 6 y 2 -4 -6 -8 1 -4 2 4 1 y 2 61 -4 6 8 O 6 2 8 DELL X X 3. A

A: We have to find the equation of graph

Q: hich among the sets is open? (,1) 1/n.....1/3,1/2,1}

A: Open sets are those sets which does not include the indicated values.

Q: Y 3 -3 -2 -1 2 1 -5 1 2 3 4 -1 -2 -3 The function graphed above is: Increasing on the interval(s)…

A: If value of y increases as x increases then function is increasing in that interval. If value of y…

Q: дz For z = x² + xy³; x = uv² + w², y = u + vew, find when u = 2, v = 1, and w=0 dv

A: Let's solve given derivative functions.

Q: Solve for y at x=2: (x5 + 3y) dx - x dy=0; x=1, y=2

A: Rewrite the differential equation in standard form and solve it

Q: (y² + xy) dx-x² dy = 0, when x = 1, y = 1

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

Q: What is the second derivative of the function y = -7 sin x cos x where x is ? Round your answer to…

A:

Q: For items 22-23: The equation of a curve is y = 5tanx. 22. What is the slope of the tangent line…

A:

Q: d the characteristic equation of the matrix by inspection. -4 2 67 -5 0 0 0 60 0 03] e…

A: As we have see that given matrix is upper diagonal matrix and we also now that eigen values of upper…

Q: What is f' (5) given the function f (x) = O 0.48 O 0.048 O No correct answer O 0.049 0.49 /x-3 √T+3…

A:

Q: Find the force on one side of a plate bounded by x = y² and x = 2 - y² which is submerged vertically…

A: Given the plate is bounded by x = y2 and x = 2 - y2 and the plate is vertically submerged such that…

Q: Use Cartesian coordinates to evaluate JIJ y² dv 2 D where D is the tetrahedron in the first octant…

A:

Q: Find v. v=-4i-j ||v||=| (Simplify your answer. Type an exact answer, using radicals as needed.)

A: Here, the given vector is: v=-4i-j=(-4)+(-1)j

Q: For the curve xy + x2y - xy² = 1, use implicit differentiation to find the equations of the tangent…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Consider the basis S - (V₁, V₂) for R², where v₁ - (1, 1) and v₂ - (1, 0), and let T:R² R² be the…

A:

Q: QUESTION 2 Given: 2y (y2-x) dy = dx ; x(0)=1 Find x when y=2. Use 2 decimal places.

A:

Q: Integral Evaluate the √x (x-²) ³ dx

A:

Q: (2xy-sinx) dx + (x² - cosy) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: Consider the basis S = {V₁, V₂} for R², where v₁ - (1, 1) and v₂ - (1, 0), and let T:R² R² be the…

A: Explanation of the answer is as follows

Q: ,19 The estimate of an integral of of f(x) dx is given as 1860.9 using 1-segment trapezoidal rule.…

A:

Q: 11. Oil is being pumped continuously from a Texas oil well at a rate proportional to the amount of…

A:

Q: 22. CHALLENGE If rectangle ABCD has coordinates A(0, 0), B(0, 4), C(4, 3), D(0, 3), find the…

A:

Q: Which among the sets is open? a. [0,1) b. {0,...,1/n,...,1/3,1/2,1} c. R\[a,b] d. None of the above

A: The objective of the question is choose the correct option that is a open set.

Q: Find the area of the region using a double integral. The region bounded by y = 4x5, 2x + y = 6, and…

A: To find the area of the region bounded by given curves.

Q: Calculate A) the divergence. B) the curl. C) the potential function f. D) Use the clause (C) to…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: luate 2 Af ² (x-1) 25 dx 7 S² √4+3x dx 1 x² (1+22³)5 dx esinx cosxdx O 플 the definite O inte

A:

Q: Solve Zxy and Zyx when Z=2xy³ - 3x²y²

A: To find the partial derivative

Q: In(3x) EXAMPLE 3 Calculate lim x → 00 SOLUTION Since In (3x)→ ∞o and In (3x) 1/x lim x → 00 = lim…

A: Topic = Limits

Q: Evaluate the following integrals: a) b) ex² Jy/2 dx dy dy dz dx 2y

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

Q: Evaluate [(x +2y) ds, where C is the curve defined by y = √√4 – æ², for x = [0, 1

A: Here ds is arc length.

Q: Find the eigenvalues of A² for Enter the eigenvalues in increasing order. Eigenvalues of A² are: i A…

A:

Q: Find a scalar equation for the plane that contains the points P, Q and R

A: We know that equation of plane passing through three points A(x1,y1,z1),B(x2,y2,z2), C(x3,y3,z3)  is…

Q: con 2. 體 + dt +13y = 3sin(2t)

A:

Q: - show that V(x,y) = x 'f (2x+y)

A:

Q: The function f(x) Find it. X = = (4x4)e5 has one critical number.

A:

Q: Region R is a plane region bounded by the curve y = 32, the y-axis and the lines y = 1 and x = 4.…

A: We have to find the area and volume.   According to our guidelines we can solve only three subparts…

Q: S dx √4x² - 49 x > 7

A:

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 3x)y², y(0) = = 2…

A:

Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following…

A: I have just use the methods and easily find the all solutions. Main solutions are in the boxes.

Q: Solve the following using Cramer's rule: (Show your solution) 6.r y = 0 2x 4y 1 { (c)

A: In this question, we will find the solution of the given system of equations using Cramer's rule.

Q: s projected that x years from now the population of a certain city will be changing at the rate of…

A:

Q: It is projected that x years from now the population of a certain city will be changing at the rate…

A: To find out the population 3 years from now.

Q: Find a vector equation for the plane that contains the points P, Q and R Find a scalar equation for…

A: Given points: P(2,1,1),Q(0,4,1),R(−2,1,4) and S(1,5,−4) Equation of a plane in cartesian form…

Q: Find the area under/bounded by the given curve. Show the graph (you can use any graphing software,…

A: To find the area under the given curve.

Q: Find the derivative of ƒ (x) = 8ª ln (x).

A:

Q: Consider the basis S- (V₁, V2, V3) for R³, where v₁ -(1, 1, 1), v₂-(1, 1, 0), and v3 - (1,0,0), and…

A:

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: We have to set up the integral for volume.