Find the volume of the solid E whose boundaries are given in rectangular coordinates. {(x, y, z) |√√x² + y² ≤ 25 √49-x² - y²₁ x 20, y 20} V

Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} D

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Q: Simplify the ratio of factorials. (9n + 1)! (9n + 3)!

A: Given: (9n+1)!(9n+3)!

Q: For the function below, determine each of the following. f(x) = 6 x³ + 9x² - 756x (a) Find all…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: Please see the below picture for detailed solution.

Q: Which of the following is the partial derivative with respect to y of the function: Select one: fy O…

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Q: Find the volume V formed by rotating the region enclosed by the curves: y³ = x and x = 4y with y ≥…

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Q: Calculate y() (0) for 0 ≤ k ≤ 5, where y = 4x² + ax³ + bx² + cx + d (with a,b,c,d the constants) y…

A: Given:- y=4x4+ax3+bx2+cx+d

Q: Use spherical coordinates to evaluate the triple integral  (e-((x^2)+(y^2)+(z^2)))/sqrt(x2+y2+z2)…

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Q: B: Find Inverse Laplace Transformer for the following function:- 3s3-s²-3s + 2 F(s) = s² (S-1)² 5

A: According to question,Given function,Fs = 3s3-s2-3s+2s2s-12

Q: 1) ƒ(2) = ƒ(4)=0 max /mm f(3) is defined f'(x) 0 on (3,∞) inc f'(3) is undefined f"(x) < 0 if x #3

A: We have to Sketch a graph of this function based on the info given.

Q: Write the sum using sigma notation: 1 + + +...+ Σ 1 + 109-110 = ₁ B, where 2-3 1-2 A = B = 1 3-4

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Q: Let u= (−6, −2) and a = (3,-9). Find the vector component of u along a and the vector component of u…

A: There are two components in a vector. One is horizontal and other is vertical. The vector component…

Q: 1 1 x+a x+b 1 b-a 1 (x+a) (x+b)

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Q: A small business buys a computer for $2500. After 4 years the value of the computer is expected to…

A: Note : as per guidelines we support only three subparts of the question. Kindly repost next question…

Q: Find the volume of the solid obtained by rotating the region bounded by the curves: y = x²/9, x =…

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Q: Assume that the fucntion f is continuous for all x. If f´ (3) = 0 and f´´(3) > 0, then the point (3,…

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Q: The body mass of a certain type of sheep can be estimated by M(t) where M(t) is measured in…

A: Given: m(t) = 26.4+0.4t - 0.001t2 where M(t) is measured in kilograms and t is days since May 25.…

Q: Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that…

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Q: Solve the initial value problem below using the method of Laplace transforms y" +9y=45t² - 54t+ 64,…

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Q: The graph f(t) is given in the figure. Represent f(t) using a combination of heaviside step…

A: see below the answer and explanation

Q: Find D53 te (₁² +²²²) 20-²). Note: Read "D" f(x)" as "the nth derivative of f(x)"

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Q: a. Find a power function that models the data below. b. Find a linear function that models the data.…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  x 4 5 8 9 y 6.7…

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: I have appended the formula used in the solution part of the question

Q: A manufacturer sells video games with the following cost and revenue functions (in dollars), where x…

A: Given:- The cost function in dollars Cx=0.19x2-0.00002x3 The revenue function in dollars Rx= 1.054x2…

Q: Given y = 4x² + 5x, find dy dt dy dt when x = 1 and (Simplify your answer.) dx dt -=4.

A: Given: y=4x2+5x, x=-1 and dxdt=4

Q: Find the minimum and maximum values of the function y=-3x² + 2x - 4 on the interval [-1,4] by…

A: Given that function is y=-3x2+2x-4 on the interval -1,4. It is required to find the maximum and…

Q: Evaluate the triple integral (x+4y) where E is bounded by the parabolic cylinder y=5x2 and the…

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Q: In the following figure, the cadius is 1cm, and the base is 8cm. a) Find the missing 0 b) Find the…

A: Given, Radius, r = 7cm                                 Base ( Chord length ), l= 8 cm

Q: Suppose the function f(x) has a domain of all real numbers and its derivative is shown below. f'(x)…

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Q: 4 2 Find all of the critical points of 2 = =+ = -xy. Identify each point as a Y local minimum,…

A: Find all of the critical points of z=4x+2y-xy. Identify each point as a local minimum, maximum ,…

Q: Find two numbers differing by 42 whose product is as small as possible. Enter your two numbers as a…

A: We can solve the given problem by using the second derivative test.

Q: Which of the following are geometric series?

A: Here we have to choose the correct option.

Q: Which of the following conditions form the HYPOTHESIS for the basic form of L'Hopital's Rule? Let f…

A: Use the concept of L’Hopital’s rule when determining a limit.

Q: Approximate R10 and L10 of v(t) over [0, 5] and interpret their meaning physically.

A: If a function is defined on an interval a,b then Rn=b-anfx1+fx2+fx3+...+fxn and…

Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $29.04 per…

A: It is given that, At the price of $29·04, 180 shirts are sold and at the price of $21·84, 280 shirts…

Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,…

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Q: Differentiate y = ln(2e¯ª + xe y' = 0 xe¯x).

A: y=ln2e-x+xe-xd dx(lnx)=1xd dx(ex)=exd dx(a.b)=a×dbdx+b×dadx

Q: Find the minimum and maximum values of the function y = 10t - t² on [6, 10] by comparing values at…

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Q: If f(t) = (t² + 6t+4) (2t² + 2), find f'(t). Find f'(3). Question Help: Video Message instructor…

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Q: The slope of the tangent line to the curve In (xy) = y² — 1 at the point (1, 1) is m =

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Q: e volume of the frustum of a right circular cone with height h = 71, lower base rac

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Q: particle moves according to a law of motion  s = f(t),   t ≥ 0,  where t is measured in seconds and…

A: Here we have to use application of differentiation.

Q: Question 2 Consider the following table of values: X 4 f(x) 3 4 2 1 f'(x) -5 -6 -7 11 3 g(x) 4 1 2…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: The sequence have alternate negative and positive terms. This is possible only when we introduce…

Q: If g(x)=√1+tdt, then find the derivative g'(x).

A: Given :- gx=∫0sinx1+tdt

Q: Consider a price-demand model for tickets to see a specific hockey team play. The price p of a…

A: Given cost function C( q ) = 54q + 50000demand function p = 148-0.01q

Q: Integral using Evaluate the integral of even and odd functions the 2 S.x² -2 x² (x² +₁) dx…

A: Given query is to find the value of the integral.

Q: 6x-7 The total cost (in hundreds of dollars) to produce x units of perfume is C(x)= 5x+1 (a) Find…

A: C(x)=6x-75x+1(a) aversge cost(C¯(x))=C(x)x

Q: Evaluate the integral. 4 [ f(x -4 f(x) dx where 4 ) = {16-; f(x) = if -4 ≤ x ≤ 0 16x² if 0 < x≤ 4

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Q: The height h (in feet) of an object falling from a tall building is given by the function h(t) = 144…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…