Using cylindrical shell method, find the volume of the solid S: R is the region bounded by x= y²+1 and x= 9-y² and revolved about x = 9 and y = 3.

Q: For what values of x does the series converge conditionally? Σ = 1 (x-6)" √n A. x=7 B. x = 5 O C. x…

A:

Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If value…

A:

Q: formula

A: Solving the problem

Q: Down hill 109 cm / 4.42 sec = 24.66 cm/sec 63 cm/2.54 sec = 24.80 cm/sec

A:

Q: (8) Find y' using implicit differentiation method: Sin(y) =sin(x) cos(y) + 4

A: To find

Q: x sin x lim x-0 1- cos x

A:

Q: A region bounded by f(x)=√x + 2, y = 1, x = 1, and x = 4 is shown below. Find the volume of the…

A: Given that ,Find the volume of solid.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

Q: Find the indefinite integral using the substitution x = 4 tan(8). (Use C for the constant of…

A:

Q: 1. Determine the derivative of each function. (DO NOT SIMPLIFY) c) y = 2-x² d) f(x) = sinx cos2x

A: To determine the derivative of each of the following function.(c) (d)

Q: Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from…

A: We need to choose correct integral option.

Q: Sxcos 4x dx

A:

Q: Find the slope(s) of the tangent line(s) to f(x)=x³ that contains the point (2,0)

A:

Q: Use Lagrange multipliers to find the points on the cone z² (x, y, z) = smaller z-value larger…

A:

Q: Find the limit. lim (x,y) →(18,18) x+y #36 O A. 6 O B. 12 x + y - 36 x+y - 6 OC. 0 OD. There is no…

A: We need to find the value of the given limit.

Q: 1) 2) 3) Find: lim x → 1 Find: lim x→6 Find: lim x-5 x² - 1 x - 1 x² - 36 - 6 x² - 25 x - 5

A:

Q: 2. Copy the vectors in the figure and use them to draw the following vectors (a) b2c (b) 2b = a + c…

A:

Q: Assume that the recursively defined sequence converges and find its limit. 80 a₁ = 3, an+12+ an The…

A: Given

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=5e-5ye* Select…

A: Given function:-

Q: Determine whether the series O A. Select the correct choice below and, if necessary, fill in the…

A:

Q: (b) x² + y² = 9, z = 4

A: Here we have to describe about the equation. Please select text to grab.

Q: On the grid below, a) label the axes: x, y, and z b) plot the point P(0,4,0) c) draw the vector OR =…

A: Here we show that in three dimensions given point and vector.

Q: Find the area of the triangle with vertices P(1, 0, 2), Q(3,3,3), R(7,5,8).

A:

Q: Given the function f(x)=x²-3 a. What is the domain for f(x) What is the range for f(x) b. Find f¹(x)…

A:

Q: Use a graph or level curves or both to find the local maximum and minimum values and saddle point(s)…

A: Function :f(x,y) = 3(x – y)e–x² – y²Find Local Maximum, Local Minimum and Saddle Point.

Q: y = 7 cos(x), y = 7 - 7 cos(x), 0≤x≤ π

A:

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. an 11 9 13…

A:

Q: find the area of r= 1+ Sin in the first guadrant

A: The given curve is:

Q: (b) Describe the relationship between each pair of planes, and determine any intersection: (i)…

A: (i)Here we have given a equations of pair of plane.Now, comparing their coefficients and constants…

Q: b. SET-UP only the definite integral using cylindrical shell method that will give the volume of the…

A:

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 [25 + 1 (1 − z)6 dz

A:

Q: 23. (In x)² dx

A: We are required to find:

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: Evaluate the integral. π/4 1² tan (0) sec²(0) de 0

A: Given

Q: π Find T, N, and k for the plane curve r(t) = -5ti- 5 In (cos t) j, −2 <t< T(t)=)i+)j RIN 2

A:

Q: A region bounded by fly) = -y² + 4 and x = 1 is shown below. Find the volume of the solid formed by…

A: A region bounded by  and  is shown below. To find the volume of the solid formed by revolving the…

Q: ¬ f(x, y) = −1+7x − 6x² - 7y+5y² -

A:

Q: Find the measure of in degrees. If necessary, round to four decimal places. 17 12

A:

Q: S x cos 2x dx

A: We are required to find:

Q: Which of the following functions have at least one asymptote? ¡)f(x)=-x f(x): ii) ²/ x ›-() f(x)=…

A: and The line x=L" data-mce-style="box-sizing: border-box; margin: 0px; padding: 0px; font-style:…

Q: detremine a reduced fractions that has this deminam exapnsion  0.313131...

A: The given expression is:

Q: Find of/ox and af/ay. f(x,y)=3x3 Зу ?x af ду 11

A:

Q: f(x) = In(2x + 4), 9x - k, x -1

A:

Q: x1 x³ - 1 D)] sin x - cos x 13. tan x - 1 Svig SIUSI PH e21 HI -1 15. lim lim x→/4 We

A:

Q: Find the derivative of the function at the given point in the direction of A. f(x,y,z) = 5x+10y-8z,…

A:

Q: The base of a three-dimensional figure is bound by the line x = y + 2 on the interval [1, 9].…

A: The volume of a three-dimensional figure can be found by integrating the area of the cross-sections.…

Q: 3. Find the equation of the line or plane ( c) The line that is perpendicular to the line 2x-3y +1=0…

A: Find The Equation of the Line or Plane :c.) The line that is perpendicular to the line 2x – 3y + 1 =…

Q: Express the area of the region b The lines x = 0, y = 3x, and y = 10 10 y/3 A. S S 0 0 B. O C. 3…

A:

Q: 5. Given a = 47 - 7k in R³, determine a) a in component form b) la (exact value)

A: