Use polar coordinates to find the volume of the given solid which is below the plane x+2y+z=5 and above the disk x²+y²<=4

Q: Set up triple integrals (with bounds) to find  (a) The volume of the solid enclosed by the cylinder…

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Q: 12y 10. Section 7.7 Evaluate: [[(x² - 4y)dxdy -10

A: ∫-11∫02yx2-4ydxdy

Q: Find the derivative of the function. h(x) = x² arctan(9x)

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Q: The unit cost, in dollars, to produce bins of cat food is $19 and the fixed cost is $9450. The…

A: Unit cost = $ 19 fixed cost = $ 9450 Price demand function p(x) = 423x - 2x

Q: Find y @) y ² y's SX-2 Sin (x) b) 2 Y = 2 cos (x)-x

A: To find the derivative each of the following functions. (a) y=5x-2 sinx (b) y=2 cosx-x2

Q: The number of bacteria in a refrigerated food product is given by N(T) = 20T2 - 126T+52,6 <T < 36…

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Q: Consider the function 567 f(x) = 7x + X 9 X = 0 < x < ∞. This function has an absolute Select an…

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Q: Σ²n=0 n(x+2)" ΠΞΟ 3n+1

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Q: Find the average value of f(x) = = 9 x3 Average value = + 7x on the interval [1, 2].

A: given,  f(x)=9x3+7xformula for average value of f(x) on [a,b] is favg=1b-a∫abf(x)dx

Q: For the function f(x) = 2x³ − 24x + 7, find all intervals where the function is increasing: f is…

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Q: Verify Green's Theorem by evaluating both integrals [ 1² dx + x² dy = [₁ ] (aN_AM) da dA əx ду for…

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Q: write the total cost C as a function of the number of CD's produced. C(x) = 13x + 25000 Oº Write the…

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Q: Find the area of the following surface using the given explicit description of the surface. The…

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Q: Find the values of t if Solve 144t³ ÷ 4t-4 √(9t8 (9t8 x 27t7) 314

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Q: A rectangular tank with a square base, an open top, and a volume of 32 ft is to be constructed of…

A: To find out the dimensions of the tank that has minimum surface area.

Q: Question 10 lim (1 + 5x) ¹2 x →0 =

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Q: Use the intermediate value theorem to show that the polynomial function has a zero in the given…

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Q: Find or evaluate the integral by completing the square. (Remember to use absolute values where…

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Q: concavity (if possible) at the given value of the parameter. (If an answ arameter t = 9

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Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: From the given table

Q: A surveyor standing some distance from a mountain, measures the angle of elevation from the ground…

A: Given angle of elevation.

Q: Question 15 Let u be a nonzero constant and let f(x) = 2+1. Suppose that f is decreasing on (-∞,0).…

A: fx=x2+1x2+u

Q: se Heron's formula to find the area of the triangle with side lengths 8, 17, and 20, as shown below.

A: Triangle with side lengths 8, 17, and 20By heron's formula = ss-as-bs-c

Q: 32 Determine the maximum and minimum values of the function f(x) = 2x+² on the interval -2≤x≤8.

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Q: A function f is shown in the graph at right. The domain of the function is all real numbers except x…

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Q: For the given function, determine the following if possible. If it is not possible, explain why. You…

A: .

Q: Calculate the area between the curve y= x^3 - x^2 -2x and the lines x = - 1 x = 2 and y = 0.

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Q: 1. Integrate f fe²+³dA where R = {(x, y): x² + y² ≤ 1}. Oa. (e-1) Ob. π(e-1) OC. TE c. Od. Te ле Oe.…

A: ∫∫Rex2+y2 dA where R=x,y: x2+y2≤1

Q: The derivative of f(x) = 18xe is-18xe (Type an exact answer in terms of e.) +18e

A: We know that the product rules of the derivative d/dx(uv)=u*dv/dx+v*du

Q: (1) Is the etatement 3p € Z such that Vq € Z, pq = q true or false? [Select] V (2) Is the statement…

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Q: A lighthouse is on an island 400 meters east of the shore of Lake Latasha. The lighthouse beam makes…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Given curves are x+y2=20 which is a parabola symmetric w.r.t. x axis. And x+y=0 is a straight line.

Q: a. Find the Jacobian of the transformation x = 2u, y = 4uv and sketch the region G: 2 ≤2u≤ 4, 4 ≤…

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Q: Suppose a product's cost function is given by 8q² + 1000q, where C(q) is in C(q) dollars and q is…

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Q: The Maclaurin series for f(x) = cos(x) is x² (-1)" (x) 2n (2n)! 1- 2! n=0 T(x) = By transforming the…

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Q: Suppose a product's revenue function is given by R(q) = −8q² + 200q. Find an expression for the…

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Q: The efficiency E (in %) of an automobile engine is given by: E= 0.736 s-0.00005 s3 where s is the…

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Q: Given and f'(-1) = Find f'(x) = -5 and f(-1) = 0. = and find f(1) = = f"(x) = 5x + 1

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Q: I X 8x² +9 -dx =

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Q: A population of squirrels in a forest is observed to be 190 squirrels at time t = 0. After a month,…

A: We have to find P(t) and predict the population size after 2 years.

Q: dx x 3 +3= = 2x¹y4 dy y

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Q: Estimate the area under the graph of f(x) = 10√x from x = 0 to x = 4 using four approximating…

A: Given function f( x ) = 10x from x = 0 to x = 4 using four approximating rectangles and right end…

Q: In the expansion of (2+2cx)6, the coefficient of the x³ term is the same as the coefficient of the…

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Q: Please solve question D.  What does Y = ?

A: f(x)=-10x+352x+83

Q: Suppose that the position of a particle is given by s = f(t) = 3t³ + 6t+9 (a) Find the velocity at…

A: given,  s(t)=3t3+6t+9

Q: 3. Answer each of the following with complete sentences, providing the Calculus expression needed…

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Q: 8 If f is continuous and f²f (t) f(t) dt = 10, find the following integral. [²1² f(t³). dt = ||

A: We have to evaluate the integral. For this we will use substitution method to convert the integral…

Q: Find the indefinite integral. (Use C for the constant of integration.) 1₂ e2x dx 9 + e4x

A: let  H=∫e2x9+e4xdx

Q: Use the transformation u = x + 3y, v=y-x to evaluate the given integral by first writing it as an…

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Q: Find the indefinite integral. (Use C for the constant of integration.) x² + 5 - 5x+/-In(x² +51)+c C…

A: Consider