trahedron enclosed by the coordinate planes and the plane x+2y+z= 8.

Q: dx | | dt dy dt dz dt = 3x + 2y + 4z = 2x + 2z = 4x + 2y + 3z

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Q: Eliminate the parameter t to find a Cartesian equation in the form * = f(y) for: [x(t) = −2+² ly(t)…

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Q: 4

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Q: 5. Set up an iterated triple integral in the order dædzdy that gives the volume of the solid in the…

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Q: Please

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Q: 4) A manufacturer has determined that the total cost C of operating a factory is C = 0.5x^2 + 15x +…

A: Given, total cost C of operating a factory is C = 0.5x^2 + 15x + 5000  where x is the number of…

Q: Analyze and sketch:  x- and y-intercepts  Critical Numbers  Table for increase/decrease + local…

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Q: 5TT Without using a calculator, compute the sine and cosine of 6 What is the reference angle? In…

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Q: 16+19+22+25+...Which one of the following is the sum of the first 90 terms of this series? a)16,701…

A: Concept: Arithmetic Progression: Arithmetic Progression (AP) is a numerical series in which the…

Q: e the differential equation e2x dy +2e²x y = 2x

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Q: 7 x² + 3x +3dx 14 22 (277)+ Option 1 1/2 tan-¹ (2(w + 3)) + 1 √3 Option 3 None of the above ا tan +C…

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Q: Q1: A- Write the following algebraic expression in its simplest form: 5x+3x²+5x+6 X *+3 25x²-9

A: Please refer to the image below

Q: 1 -~-² ( 5 (52² + 4) = = = √( ² ) 6' +4' sin2t.dt

A: As per the instruction, we will be answering the first question. For (1), We need to verify the…

Q: Let Sketch the curve and find the length of this curve. r(t) = (t, 3 cost, 3 sin t), 0≤ t ≤ 2π.

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Q: Find the area of the region bounded by y = 3x - x² and the x- axis. 9/4 9/7 9/2 9/5

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Q: 2. Evaluate Solve all parts or I'll dislike. If you can't solve all parts just skip it da da d. +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: In spherical coordinates, the equation below describes what? O a plane O a cone O a sphere O a…

A: topic- spherical coordinate system

Q: Evaluate the following integrals: a) b) ex² Jy/2 dx dy dy dz dx 2y

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 5. Set up an iterated triple integral in the order dxdzdy that gives the volume of the solid in the…

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Q: An open box is made from a square sheet of cardboard, with sides 3 meter long. Squares are cut from…

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Q: d. e. f. 1 R, Re 1 1 + 4.5×10²2 9.4×10² (1.7×10³ J)-(3.3 × 10² J) (1.7×10³J) = - e= (1.33) sin 25.0°…

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Q: Round-off your final answer to two decimal places 5. √3x + 4dr

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Q: 5) A Cramer's Rule question: Suppose tickets to a football game are priced according to whether the…

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Q: If s(t) = 6t³ - 9t² - 36t+6, where t≥ 0 represent the position of a particle traveling along a…

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Q: y = In (cot 8x)

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Q: Question 2 Use Euler's method with step length h = 0.5 and determine an approximate value for y(3)…

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Q: 1. Find the Inverse Laplace Transforms of the following. 3s 2) s²-4

A: Given :L-13ss2-4

Q: √ √(x²-1)dx

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Q: #3) find the dimensions of a rectangle with perimeter 100m whose area is as large as possible. a)…

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Q: Sketch the function f(x): x² +1 4x²-9

A: We need to sketch the function.

Q: p and q are complex numbers such that pl = 7√2 and p+ql = 12√//3. On what interval must g fall on? O…

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Q: State what the Divergence Theorem says, using your own words. You may assume that E is a solid in R³…

A: We can state the Divergence theorem .

Q: X=(1)+ wam (xf pulf Z-x7=(x)₂ + £I-E#

A: Topic = Integration

Q: 3. I. -1 2 Evaluate each determinant. 5 3

A: Given,-1523

Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: The region trapped between y 4x - 2x² and y 2x² - 1³ = y= 4х-2х² у=2х2-х3 a) Set up the integral…

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Q: Find the indefinite integral. √4x In (7x) dx √4x In (7x) dx =

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Q: d. dx 2√x+3+x

A: Given,∫12x+3+xdx

Q: Find the CP of the following and classify it using FDT and SDT y = 2x^3 +9x^2-13

A: Find out the critical point and also classify it using the first derivative test and second…

Q: hich among the sets is open? (,1) 1/n.....1/3,1/2,1}

A: Open sets are those sets which does not include the indicated values.

Q: Using integration by parts for getting the integral of ex cos 2x will give way to another…

A: To find  ∫excos 2x dx we use the integration by parts and it will give another integral in which we…

Q: 4. 2-5 2 -1

A: Given: ∆=|2-52-1|

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: A-1 =1AadjA .

Q: xy² (xdy + ydx) = (xy - 2)dy

A: We have to solve given Questions.

Q: Ice O 3.19 O 13.9 O 12.6 O 16.1 O none of the above (ezt - e-²t)² dt

A: Given that a integration and we solve this integration by using general formula of integration. Here…

Q: The radius of a circle is increasing at a rate of 9 centimeters per minute. Find the rate of change…

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Q: The given definite integral is equal to x3 dx Jo x + 1 O 1.23 O 0.43 O 0.18 O 1.42 Onone of the…

A: The given integral:∫01x3x+1We need to evaluate the definite integral.

Q: Find the Fourier transform of Hint: Use the integral formula Se-¹² du = √π e-a²₁²

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Q: Find lim f(x) given the graph of f(x) shown above. (If the limit does not exist, enter Ø.) x-1+…

A: We have to find value of given Limit.

Q: -6 +][]+ 3 5 0 3 -2

A: