(Section 17.7) Use Stokes' Theorem to find the work done by =< -yz, xz, 2² > in moving a particle once around the boundary of x + 3y + 2z = 6 in the first octant counterclockwise when viewed from above.

Q: (8) Given that f(x) = 2x+8 g(x) = 5x−2__ and h(x) = 2x + 6 4 X Find:- 1. hof(x) 2. h-¹(x) =

A:

Q: Find the Area and Circumference of the Circle Below. Area Exact (use in your answer) A =…

A:

Q: Evaluate the following A SALLE MORES RELIGIO CULTURA 2x² - 3x + 7 lim x→∞ x² + 47x + 1 Ilim ( x + ²)…

A:

Q: Determine a lower bound for the radius of convergence of series solutions to (4+x²)y" + 2xy + 4x²y =…

A:

Q: solve the differential equation given by хчу" + 3ху - чу - 0

A: Given differential equation is x2y''+3xy'-4y=0 --- (1) Let assume y=xλ then ⇒y'=λxλ-1⇒y''=λ(λ-1)xλ-2…

Q: Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly…

A: Note:  “Since you have posted multiple questions, we will provide the solution only to the first…

Q: Evaluate (x + y)ds where C is the straight-line segment x=t, y = (4 – t), z = 0 from (0,4,0) to…

A: We have to find the given line integral.

Q: Prove that the equation x^3 + x^2 -1 = 0 has a solution between x = 2/3 and x = 1.

A: The given problem is to prove that the equation x3+x2-1=0 has a solution between x=2/3 and x=1.

Q: V = {a, b, c, d, e, f, g} E = {{a, b}, {a, c}, {a, d}, {a, f}, {b, c}, {b, e}, {b, f}, {c, d}, {c,…

A:

Q: A metallurgist has one alloy containing 40% aluminum and another containing 66 % aluminum. How many…

A: Given a metallurgist alloy contain 40% and another is 66% Let a be the number of pounds of alloy…

Q: (5) Graph f(t) = tsin. Find the average value of of t sin limit of this average as N→∞.. over [0,…

A:

Q: Consider D2 a. + 4 4 9 Sketch and describe the graph b. Find the equation of the tangent at the…

A: The given function is: x24+y24-z29=1. To Do: (a) Sketch and describe the graph. (b) Find the…

Q: Find the triple integral dV by converting to cylindrical coordinates. Assume that E is the solid…

A:

Q: Consider r(t) = (2t, 3 sint, 3 cost). a. Find the equation of the tangent line to the curve at the…

A: The given position vector is, r(t)=2t,3sint,3cost. (a) To Find: The equation of tangent line to the…

Q: let v ，w be vector space over F prove v *w is isomorphic to w*v

A: Given: v and w are vector space over the field F.To prove: v·w is isomorphic to w·v

Q: Money is transferred continuously into an account at the constant rate of $80,000 per year. The…

A: At the rate of $S(t) per year, if a person continuously deposited money to the bank for T years and…

Q: (a) Evaluate the following double integral to 3 decimal places ry= LL* (2xy + ²) dydx =0 y=1 y

A:

Q: Determine whether the line integral of each vector field (in blue) along the semicircular, oriented…

A: Given: Vector fields with semicircular oriented paths. To find: Whether the corresponding line…

Q: Show that an is decreasing and bounded from below where an+1 = (1+a^2n)/3 and a1 = 1. Then determine…

A:

Q: Find the missing side of the triangle shown below, if the perimeter is 89. 37 ? 22 a

A:

Q: You owe $2300 on a credit card with 21% APR if you want to pay it off in 18 months, how much would…

A: Loan amortization formula is  A=Pi1+in1+in-1 Where A is periodic payment amount, P is loan amount,…

Q: Let P(Z) = 0.45, P(Y) = 0.36, and P(ZnY) = 0.17. Use a Venn diagram to find (a) P(Z'nY'), (b)…

A:

Q: A forest fire is found at midnight. It covers 1100 acres then. It is spreading at a rate of f(t) =…

A: Fire has covered 1,100 acres in midnight.

Q: The folloiwng illustration is drawn scale. y = 119 in 71 in A = X 123 in y Find the Missing Lengths.…

A:

Q: Find the Laplace transform, F(s) of the function f(t) = t¹. t> 0 F(s) = s> 0

A:

Q: Find the volume of a pyramid with height 15 and rectangular base with dimensions 4 and 7 using…

A:

Q: y= 2sin 1/2 x   FInd the 5 key points

A:

Q: Find the present value of an ordinary annuity which has payments of $800 per year for 16 years at 9%…

A:

Q: Let N, K be two normal subgroups of a group G. Show that NK is a normal subgroup of G.

A: Given that N and K be two normal subgroups of a group G Since N and K are normal subgroup of G…

Q: Find the Laplace transform, F(s) of the function f(t) F(s) = " s> 0 = 8t² - 5t - 5

A:

Q: A video store manager observes that the number of videos sold seems to vary inversely as the price…

A:

Q: 3. Here is an equation, f(x) = − ½ (2³x−3) + 5. 3x-3 A) Rewrite the equation with following…

A: The function is given. The objective is to find the new function g(x).

Q: 4) F (s) = = 5) F(s) = 6) F(s): = 3s s²+2s-8 10-4s (S-2)² s+12 s²+4s

A:

Q: a) Find the coordinate vector of x = o the ordered basis of R³: E = [x] E = A 2 {8-1-8} -5 F₁ 4 with…

A:

Q: The U-Drive Rent-A-Truck company plans to spend $10 million on 260 new vehicles. Each commercial van…

A:

Q: (b) If the temperature u(x,t) at any time satisfies the pde separation of variables to find u(x,t)…

A:

Q: 3. Prove that for all n EN+, i=1 2 3² = 1 1 37

A: As per the guidelines I am answering only one question. [3] We have to prove for all n∈ℕ+…

Q: Price Refer to Figure 3-1 above. A decrease in the price of the product would be represented by a…

A:

Q: Find the area of the region enclosed by y x = 3.5y². 41 2 3.5x and Use horizontal strips to find the…

A:

Q: Solve the differential equation, y"+y by variation of parameters ту and Y₂2 and U₂ identify y W₁/W…

A:

Q: Suppose that f is a function with f'(4) = 0 and f''(4) = 7. Then f has a relative maximum at x = 4.…

A:

Q: Give a parametric representation r of the spherical cap left when the sphere 2² + y² +2²=8 is cut by…

A: (a) The equation of a sphere given is as follows: x2+y2+z2=8 We are asked to find the parametric…

Q: 2 =and cos y = -3, where x, y € 1,37], 7 2 Find the value of sin(x + y) and tan(x - y) If tan x =

A: Trigonometry means the measurement of the sides of a triangle and the angles of the triangle.…

Q: An election ballot asks voters to select six city commissioners from a group of twenty two…

A:

Q: 7. Passes through P = (2, 1, 5) and Q = (7,-2,4).

A:

Q: en (1) Σ n!γη n=1 (e) Σ n=1 In(n) η

A:

Q: Let {f} be a sequence of continuous functions which converges uniformly to a function f on a set SC…

A:

Q: ) The portion of the cylinder x² + z² = 10 between the planes y = −1 and y = 1.

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Use spherical coordinates to find the triple integral. (Give an exact answer. Use symbolic notation…

A:

Q: On March 11, 2011, Japan suffered an earthquake and tsunami that caused a disastrous accident at the…

A: In an exponential growth, firstly the quantity increases slowly over time and then, it increases…