6. Use the disk washer method to set up the integral which calculates the volume of the region bounde by y = x + 1, y = 0, x = 0, and x = 2 when rotated about the x-axis.

Q: Find the point on the sphere x2+y2+2²=100 that is farthest from the point (-14,15,-18).

A: Let farthest point on sphere px,y,z from point -14,15,-18By distance formula…

Q: The total surface area of the box is 5400 square centimetres, let x be the width of the box and h be…

A: The total surface area of the box is 5400 cm2

Q: rmine the x-coordinates of any vertical asymptotes or removable discontinuities for the following…

A: fx=x-12x-32x-42x+53x-42x+14x-23

Q: firm can produce only 2500 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A: A firm can produce only 2500 units per month. The monthly total cost is given by C(x) = 400 + 200x…

Q: If the region under the graph of y = x² + from 1 to x = 5 is rotated about the x-axis, - then the…

A:

Q: The improper integral (2-3 dx equals Select one: O None of the others 00 ○ In 2 O -∞

A: Given integral: ∫0312(x-3)dx The given integral is an improper integral because the function 12(x-3)…

Q: Find the following using the table below. 1 2 3 4 f(x) 3 1 4 2 f'(x) 3 1 2 4 g(x) 2 1 3 g'(x) 4 4 1…

A:

Q: Given f(x) = 8e²x df dx = Use parantheses when typing in the exponent.

A: Given that we need to find the f(x)=8e2x derivative of f(x). We will solve by using derivative…

Q: Use the Divergence Theorem to compute the net outward flux of the following field across the given…

A:

Q: -π t= Q.11. Find the coordinates of the point P (x, y) on the unit circle determined by 4 . Round…

A: The coordinates of the terminal point would bewhere angle =-π4x=cosθy=sinθ

Q: Find the volume of the region bounded a above by the elliptical paraboloid z = 10 + x² + 3y² and…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Find the point on the surface z=x2-y2 at which the tangent plane is parallel to the plane…

A:

Q: Find (4x + 2y)dA where R is the parallelogram with vertices (0,0), (5,-5), (2,1), and (3, 4). R Use…

A: Use the given transformation x=5u-2v and y=-5u+v to find the given prallallograme integration value.…

Q: Let F(x) = f(x) and G(x) = (f(x))³. You also know that a = 3, ƒ(a) = 3, ƒ'(a) = 11, f'(a³) = 9 Then…

A:

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 300 + 800t 120t², where t is…

A:

Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

A: The function is fx=6xx2+2, 1≤x≤3.

Q: Evaluate the limit. limx→-1 f(x), f(x) = O-8 0-9 O 4 Does not exist. x²2 - 6x 10,x ≤ −1 X {₁ -2,x>-1

A:

Q: 8.3.15 Find and plot a particular solution of the following ODES and give all details for the…

A: We need to solve D.E. General solution of such D.E are sum of complimentary and particular solution.…

Q: k+1 For f(x) = = 2x of k if the average value of f(x) over the interval [1, e] equals to 1 is:…

A: Given, the function is fx=k+12xcontinuous on [1,e], and the average value is 1.

Q: Let g be a continuous function, and suppose we know the following: f*9(x) dx = 12 ²9² g(x) dx Then,…

A:

Q: Rewrite the integrand in terms of u so that the X integral IT da takes the form f(u) = 3x² +10…

A: Given indefinite integral ∫x3x2 + 10dx

Q: f(-2)=-13 and g(-2) = 11

A: f-2=-13 and g-2=11

Q: Approximate 1 S e2x dx using three equal subintervals. -2

A:

Q: Evaluate √a²-x² -√√a²-x² { 2xy dx dy

A: The given integral ∫0a∫-a2-x2a2-x22xy dx dy.

Q: Work Problem 1 a) Sketch the region S enclosed by the curves y=x²-3x and y = 2x - 6. b) Find the…

A: NOTE: Refresh your page if you can't see any equations. . the given equations are

Q: 3. The function v(t) = t² - 4 is the velocity of a particle moving along the x-axis, where t is…

A: Given :- The velocity function of the particle is vt=t2-4. a) The velocity function of the particle…

Q: Suppose that f(x, y) = 3x + 6y at which {(z,y) | -2 <≤ x ≤5, -2 ≤ y ≤ 5}.

A:

Q: 22. Find the are length of the graph of the function over the indicated interval. [1,27]

A:

Q: 44. dt cos²t√1+tan t CO

A:

Q: If the region under the graph of y = √√√x+2 from x = 0 to x = 1 is rotated about the x-axis, then…

A: Consider the curves y = x+2 0 ≤ x ≤ 1 Rotate about the x-axis.

Q: 4. f(-2)=-13 91-2)=11 (f/g)(-2)=

A: A function is a relation such that each and every element in the domain has a unique image in the…

Q: A O $5 O $1 O $910 O $10 the Rumber of toys produced. In the long run, what will be the average cost…

A:

Q: 12. sint√/1 + cost dt

A: let  H=∫sint1+costdt

Q: 8) (a) State the Mean Value Theorem. (b) Iff is a continuous and differentiable function on the…

A: Given data:-

Q: The function f(x) = 2x³-42x² +270x-3 has two critical numbers. The smaller one is x = and the larger…

A:

Q: Find Use the transformation = -10 (4.2 + 2y)dA where R is the parallelogram with vertices (0,0),…

A: Use the given transformation x=5u-2v and y=-5u+v to find the given prallallograme integration value.…

Q: Find the curvature of the space curve. r(t) = -10i + (t + 6)j +(ln(cos t) + 7)k x = sin t x = csc t…

A:

Q: Suppose (t) satisfies the following conditions: dx dt || 7e 7, x(0) = 5.

A:

Q: Evaluate the integral. 12 F(X). f(x) dx where f(x) if -2 ≤ x ≤ 0 (6x² if 0 < x < 2 = {2-x²

A: Given: f(x)= 2 for [-2,0] and f(x)=6-x2 for (0,2]  We have to find the value of integration of f(x)…

Q: The rate of expenditures on public elementary and secondary schools, in billions of dollars per…

A: st=4.08·e0.074t from 1990 to 2010 , therefore total 20 years

Q: A can of red bull without a top is made to contain 355cm3 of energy drink. Find the dimensions that…

A:

Q: 12) Evaluate the following: (a) Evaluate the definite integral: f¹(7 √x + 3x • √x) dx (Leave answer…

A:

Q: 3. A projectile is fired with an initial velocity of 128 ft/s from a cannon at time t = 0 from a…

A:

Q: Need an help The height of an object t seconds after it is dropped from a height of 280 meters is…

A:

Q: Determine whether the given differential equation is exact. If it is exact solve it directly. If it…

A:

Q: Q4.1 | VR ² - 4t4 t Ot5/35 t + C 03/12/3 - 14 + C +2/3 - 4 +C 3/2 2 Q4.2 10t5/3 - 8t5 5t² O None of…

A:

Q: Find the surface area of the portion of the bowl z = 10+ x² + y² that lies below the plane z = 15.

A:

Q: The graph of y = f(a) is shown below. How could we restrict the domain of f(x) so that it is…

A: given function has domain [-7,5]

Q: 12. A toy factory is trying out two different production methods. The rate of production (in toys…

A: A toy factory is trying out two different production methods. The rate of production (in toys per…

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A: f'x=12x2