★ 3. Use Stokes' Theorem to compute as F. dr F(x, y, z) = (z², x², y²) on the region bounded by z = 4-x² - y² for z≥0 as oriented clockwise when viewed from above 85 F.dr = SS curl F-n dA

Q: -10x² +18x - 2 x(x + 2)(2x + 1) Determine the correct partial fraction decomposition for the…

A: The given expression is: -10x2+18x-2xx+22x+1

Q: 24) Find the area, in square units, bounded by f(x) = x² - 4 and y = 0 over the interval [-2, 2].

A: To find the area of the region

Q: Solve a differential equation using Laplace transform:

A: We have to solve the differential equation using Laplace transform.

Q: A university alumni group wants to provide a semiannual scholarship to current students. If the…

A:

Q: Use l'Hôpital's lim X-0 Rule to find the following limit. 5 sin (x) - 5x 3 6x

A:

Q: In the previous Problem Set question, we started looking at the position function s (t), the…

A: we need to find out the velocity and acceleration function.

Q: The polynomial f(x) given below has -2 as a zero. f(x) = x³ + 12x² +54x +68 Find the other zeros of…

A:

Q: Get the Maclaurian series for cos² x. (Hint: Find first the Maclaurian series for cos 2x)

A:

Q: Given the following functions, compute the composition (fog)(x). f(x) = 8x + 5 g(x) = 9x - 3…

A: To find (fog)x

Q: = // F S F.ds Use the integral above where F(x, y,z) is equal to and S is the upper hemisphere of a…

A:

Q: 18. Find the Taylor series centered at x = a for the following functions: a) f(x) = 1 (1-x)² ; a = 0…

A: The given function is; f(x)=1/(1-x)2, a=0

Q: EXAMPLE 7 Sketch the conic below and find its foci. 25x²9y²-150x + 36y + 414 = 0 SOLUTION We…

A:

Q: Convert the following equation for a hyperbola into standard form, and graph it below using the…

A:

Q: asing, the circumference at that moment is: 01/ 27² O

A: Given query is to find circumference p.

Q: Find the radius and interval of convergence of the following ∞ Σ n=1 n X 3" (n²+n)

A:

Q: Suppose that the radius of convergence of the power series    cn xn is R.      What is the radius…

A:

Q: Solve the following initial value problem. 3 y'(x) = 8x³-12x,y(1)=0 y(x) =

A: given   y'(x)=8x3-12x-7  ,   y(1)=0we know  ∫xndx=xn+1n+1+c

Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

A:

Q: Inverse Laplace transform, 1 (s²+1)(s-3) x^~^ ( = Select one: O True O False cos(t) 3sin(t), e³t +…

A:

Q: b) f(x)=e*; a = 2

A: Find the Taylor series centered at x = a for the following functions: For Part B only

Q: Given the triangle 22/ X = 37° 16° answer to 4 decimal places. X 3 find the length of side using the…

A: To use the law of sines and find the value of x

Q: Find the area of the surface. The part of the plane z = 9 + 3x + 5y that lies above the rectangle…

A: Given  plane z =9 + 3x + 5y  lies above the rectangle [0,9] x [1,4]

Q: If you drive 98 miles and use 7 gallons of gas, what is your rate of gas consumption? miles per…

A: Given query is to find the rate of gas consumption.

Q: Consider the following function. f(x) = sin(x),    a = pi/6,    n = 4,    0 ≤ x ≤ pi/3     (a)…

A:

Q: Find the most general antiderivative. + dx .. O = + 2% + C O. 3/% + C + O 2•lk j + C 2-√√xx o c

A:

Q: The supply for a particular item is given by the function S(x) = 19 + 11x. Find the producer's…

A: formula for producer surplus is =(p)e(x)e-∫abs(x)dxgiven  s(x)=19+11x

Q: Evaluate the integral 121 dx S 11 x(In x)²

A: Given integral:- ∫11121dxxlnx7

Q: ے و رو .. + + - + - + 4 T*/

A:

Q: [re" da O True False - 1 x²e + C

A:

Q: The first term of an arithmetic sequence is 11, and the tenth term is 3. (a) Find the common…

A:

Q: find the orthogonal 2 2 x² + 3y² = C trajectory of the family OF Curves

A:

Q: Decide which of the three lines, taken two at a time, are parallel, intersect or are skew to eac…

A: We have to check if lines are parallel, intersecting or skew.

Q: The population of a bacteria doubles in 30 minutes. How many minutes will it take to make the…

A:

Q: Given that sin Find cot 0.

A:

Q: 1. Evaluate fF.dr, where O F(x, y, z) = (-7 sin (ra)-yz, n cos (ry) - yx, -ry), and C is any path…

A:

Q: Find the limits. 4x³+3x+1 x-7x²³² +2x²+x a) lim (b) lim √9x -x x²³+1 x³+x²³²+x x-xx²-x²+1 (c) lim

A: Here is the solution:

Q: Question 2 1/3x³-2²-5x + 1 dr Using Long Division to evaluate the integral

A:

Q: The natural resources of an island limit the growth of the population to a limiting value of 4,526.…

A:

Q: NOTE:S-4r and Va +6) 13. A rancher wants to construct two identical rectangular corrals using 200…

A: Dimensions

Q: h (t) = 9t³ - 7t +5 t³et 8 5t5

A:

Q: A golf ball is hit horizontally at 50 m/s from the top of a hill that is 1.5 m high. If the terrain…

A: When the ball rolls off the edge of the hill, it will continue moving forward at 50 m/s until it…

Q: A(x) = -0.015x³ +1.05x gives the alcohol level in an average person's bloodstream x hours after…

A:

Q: Find the sum: 6 + 11 + 16 + ... + 76 Answer:

A: First term of the sequence, a = 6 Last term of the sequence, l = 76 Common difference, d = 11-6 = 5

Q: Which one of the following Riemann Sums approximates S. e dx using 4 subintervals of 3 equal length…

A:

Q: True O False dy [ƒ (x)] dx = d [f(x)] dx

A: To find whether the following statement is True or False. dydxfx=d[fx]dx

Q: 6. f(x)=x+√1-x (1) Find the intervals on which f(x) is increasing or decreasing (2) Find the local…

A: first derivative

Q: Evaluate: [; 1 1+x+|x| dx

A: To evaluate the given integral

Q: If the supply function for math anxiety pills is p = S(x) = 30 + 20e0.082, determine the producer…

A: Given that Supply function p=S(x)=30+20e0.08x Aim: find Producer surplus at x=130

Q: = 1₁²₂ x 3. Define F(x): 1 /1+t² dt. Find F(8) and F'(8).

A:

Q: Write a polar equation of a conic with the focus at the origin and the given data. ellipse,…

A: As we know that polar equation is r( θ ) = ed1+ esinθGiven ( r , θ ) → ( 1 , π2 ) e = 0.1