9. This composite object is formed by a cone with a hemisphere on top. A formula for the volume of this object a) Factor this formula (find the GCF). b) Use both forms (given from and factored form) of the formula to calculate the volume of this composite object with radius 4 cm and height 10 cm. Leave your answer in terms of 7.

Q: Evaluate the definite integral. 4 4 12(In x)5 X 12(In x)5 X dx dx= 0 (Round to three decimal places…

A:

Q: 7 Use geometry to evalute S (|x-1|-3) dx 0 This solution must include a graph a graph of the…

A: ∫07x-1-3dx

Q: 4. Evaluate the indefinite integral 2 x² _dx 3 √x³-5

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) /sec²() tan (+) dx

A: let  K=∫sec2(x14)tan(x14)dxformula of terivative use→(i) d dx(xn)=nxn-1(ii)  d dx(tanx)=sec2x

Q: 1. The series meets the conditions to use the ratio test, and lim 11 00 A. M8 an converges n=1 B.…

A:

Q: After substitution is performed, which of the following is equivalent to S² x√√4x²+9 dx?

A: To calculate ∫02x4x2+9dx.

Q: Determine the volume of the solid of revolution generated when the flat region bounded by the curve…

A: The region bounded by the curve y=x,the x axis and the line x=6

Q: Sketch the region R whose area is given by the iterated integral. 16 *16 - X [²[* y 8 6* [* d 16 14-…

A: To sketch the region R whose area is given by the iterated integral: ∫08∫0x dy dx + ∫816∫016-x dy dx…

Q: Compute the gradient vector fields of the following functions: 2 - Vel Tuy it A. Ja, y Vƒ(x, y) = B.…

A:

Q: After substitution is performed, which of the following is equivalent to S 0 S² O √2² 2 du O S²2 du…

A: Consider,

Q: Pollution levels in a lake have been modeled by the equation x = 0.03 + 0.18e−0.35t where x is the…

A: The given equation x=0.03+0.18e-0.35t, where x is the volume of the pollutants and t is the time in…

Q: 00 4-3 Determine whether the series > 5n n=0 Select the correct choice below and, if necessary, fill…

A:

Q: If  z = 8x2 + y2  and  (x, y)  changes from  (1, 1)  to  (0.95, 0.9),  compare the values of Δz…

A:

Q: A solid lies between planes perpendicular to the x-axis at x = − 12 and x = 12. The cross-sections…

A:

Q: Find a potential function for F. 2 3-4x² 2 y 8x F=- -i y -j {(x,y): y>0}

A: The given conservative vector field is:F=8xyi+3-4x2y2j        (x, y): y>0

Q: Given the function f(x) = , compute the left-endpoint (Riemann) sum using n = 4 on the interval [-2,…

A: f(x)=1x2+3, sub-intervals=n and interval=[-2,2]

Q: 5. The graph shows the derivative, f'(x), of a function f(x). What do you know about f(x)? YA 8…

A:

Q: Determine whether the series is convergent or divergent. Name the test. n² + 1 +1 14) [ n=1 n

A: We have;

Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Answer the following questions for the function f(x)=x√x²+4 defined on the interval -7 ≤ x ≤ 5. f(x)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Consider the function f(x) = 4 − |x| defined on [−4,4]. (a) Compute the left Riemann sum L12. L12 =…

A: We have to find the value of left Reimann sum and right Reimann sum and compute the area under the…

Q: Consider the function Evaluate the definite integral. f(x) = (x x 5 [f -2 if x 1 f(x) dx

A: We have a function f(x)  f(x)= x      if x<1 f(x) = 1/x    if x=>1

Q: iM8 (-1)" n-1 √n + 1

A:

Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 200 mph and…

A:

Q: Find the vector that has the same direction as (6, 3, -2) but has length 2.

A: Any vector in the direction of <6,3,-2> would be given by <6m,3m,-2m>.

Q: S6 (6x⁹ + 7x5) dx =

A: This by FTC WE GET

Q: Find the general solution. y(6) — 64y = 0

A:

Q: QUESTION 4 Find the critical points and determine if the function is increasing or decreasing on the…

A:

Q: A6. Ms. Whitmell and Ms. Carone are building a rectangular prism-shaped shed, that will be at least…

A: The volume of the shed is given by the function:V(x)=108x-27x3+2x3where x is the height of the shed.

Q: I-up-1 + u^ з (ы

A:

Q: 1 x+12' Given f(x)= find the average rate of change of f(x) on the interval [9,9+h]. Your answer…

A:

Q: Costas and Sheila bought a raffle ticket for a charity. The grand prize is $1000.00. Costa…

A: Costs and sheila bought a raffle ticket for a charity. And the grand total prize is $1000 Costa…

Q: The graph of f is shown below. (Click on a graph to enlarge it.) Evaluate the following integrals by…

A:

Q: 1. Use the ratio test to determine whether the series -13 is absolutely convergent, conditionally…

A: The given series is: ∑n=1∞ en+1n 3n

Q: You have answered 0 out of 2 parts correctly. Let A(x) = f f(t) dt, with f(x) as in figure. 2 II 110…

A:

Q: Find dy dx by implicit differentiation. x5-5xy = 29

A: We can solve the given problem by using the implicit differentiation method

Q: [² (12)dx 1₂ (6x) dx -2

A:

Q: The direction angles of a nonzero vector a are the angles a, ß, and y (in the interval [0, m]) that…

A: We need to find direction cosine and angles.

Q: 4. Σ sink (1), k=1 xk

A:

Q: Use properties of integrals to determine the value of when S² se I = √₁²5 (² f(x) dx = 12, f(x) dx […

A: given→  I=∫05f(x)dxwhen  ∫07f(x)dx ,  and  ∫57f(x)dx

Q: For the point (r, 0), r is the [Select] [Select] [Select] directed distance directed angle from O to…

A: For the point r,0, r is the __________ from O to P and 0 is the _________ counterclockwise from the…

Q: The equation y= 2e65 is a particular solution to which of the following differential equations? B D…

A: An equation,

Q: Identify the field below as conservative or not conservative. F = (9z+9y)i + (5z)j + (5y + 9x)k

A: The given vector field is:F=9z+9yi+5zj+5y+9xk

Q: let a₁, a2 and a3 be the columns of A, let B = {a1, a2, a3} and let H = span(B).

A:

Q: Consider the following series. n! n Using the Ratio Test, find the following limit. (If the limit is…

A:

Q: Show that the limit does not exist x^4-18y²/x² +9y²

A: We have to find if the limit exists.

Q: Find the total area of the shaded regions. Ay 3- 2- 0- -1- 5 C... Q Q The total area of the shaded…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is and the given…

Q: 3 Consider the function f(x) = x³ + 2√√x. Let F(x) be the antiderivative of ƒ(x) with F(1) Then F(x)…

A:

Q: Shown above is a slope field for which of the following differential equatic A B U dy dr da dy dr =…

A: SOLUTION:-   Given,    A slope field of a particular differential equation. We need to find the…