a dV E where E is bounded by the cylinder a? + y? = 9, 0< z< 2x, and x > 0.

Q: In constructing an open rectangular box from 588 ft of material, what dimensions will result in a bo...

A: Given problem:- In constructing an open rectangular box from 588 ft² of material, what dimensions wi...

Q: Determine the function f satisfying the given conditions. f'(x) = -sin(x) f (7/3) %3D = 3.5 f (x) = ...

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Q: Hw. Find dw and dw for the following functions

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Q: x²-1 dx 1. S

A: Given: I=∫x2-1xdx   ...1   We know that the trigonometric identities; (1). The Pythagorean identitie...

Q: (i) f(t) = (t³)(t°) is an odd function. (ii) L",(sin x) dx # 0 . (iii) Given the Fourier transform p...

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Q: H.W: Solve-Using D-operator dy dx + dt + 3y – 5x – e-t = 0 %3D dt

A: Given: - The differential equation is, dydt+dxdt+3y-5x-e-t=02dxdt+dydt+x+y-3=0 To solve: - The solut...

Q: PERFORMANCE TASK Create a general rule in finding the limits of transcendental functions by stating ...

A: Limit of transcendental functions.

Q: The points A(1, 0, 2), B(2, 0, 1) and C(1, 2, k) from a triangle of area √6. Determine the value(s) ...

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Q: Determine the function f satisfying the given conditions. f'(x) = ex/5 f (0) = 15 f (x) = A eBx + C ...

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Q: 6.2 Show that the Lorentz-transformations connecting the S' and S systems may be expressed as = x1 c...

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Q: Find the relative extrema of f|S in Exercises 8 to 11. 11. f: R3 → R. (x, y, z) → x² + y² + 2, s = {...

A: Given that: f:ℝ3→ℝ, x,y,z↦x2+y2+z2,  S=x,y,z|z≥2+x2+y2. We have to find the relative extrema of f|S.

Q: 9. An amount of $12,000 is deposited in a bank that pays interest at a rate of 3.5%, compounded cont...

A: Given query is to find the the amount after 4 years and the interest earned.

Q: Evaluate the following limits. + Vw)(2 – w² + 3w*) 1. lim (1

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 1. Given y = log3 9. The value of y= 2 2. If log(x + 2) = 4, then the value of a is 9998 1 3. If log...

A: Given problems:- 1. Given y = log3 9 The value of y 2. If log (x + 2) = 4 then the value of x 3.1f l...

Q: Evaluate [sec^2 (-1-0.1i)][tan(12-36i)]. Express your answer in rectangular form in 4 decimal places

A: The given expression is sec2-1-0.1itan12-36i. We have to find the rectangular form.  

Q: EF = (6x – 4y, z – 4x, y – 8z), then V × F = 0.

A: Topic:- application of derivatives

Q: Determine whether g(x) is continuous on the following intervals. 1. (-5, -3) g(x) 2. (-3, -1) 3. (1,...

A: Given :   g(x) is a function that is :

Q: Given: sin A = ! and cos x = - ; evaluate the following expression. %3D (8: Quadrant I, x : Quadrant...

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Q: Your equation to represent the amount of money that Dahlia earns for babysitting as a function of ti...

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Q: what is sin^-1(cos^-1((1))

A: Letcos-1(1)=x⇒1=cosx⇒cosx=1we know that ,cos0=1⇒x=0⇒cos-1(1)=0sin-1(cos-1(1))=sin-1(0)let sin-1(0)=y...

Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the v...

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Q: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. ...

A: topic- logarithmic values

Q: (x² + 1)y' + 2.xy + 2x = 0

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Q: The sin(5x + 2x) dx cos5xcos 2x is equal to 2 In(sec 5x) + 5In(sec2x) +C А. 10 In(sec 5x) + In(sec2x...

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Q: Find all critical points of the following function. 4 f(x,y) = - 8xy + 2x* +2y*

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Q: How do I input the numbers?

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Q: 7. Fill in the boxes below to create an equation equivalent to the equation x = 40. %3D log

A: 7. The equation is given by x3 = 40                         ..........1 To evaluate: An equation equ...

Q: Initial value Problem : Find the particular solution given the initial values in explicit form

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Q: Expand the function in a power series E a„x" with center c = 0. Find a,x". 7+6x n=0 (Express numbers...

A: Radius of convergence of the power series ∑n=0∞anxn is given by, R=limn→∞anan+1 The series ∑n=0∞1np ...

Q: Evaluate the following integral xVx + 1dx 5/2 (x+1)^(2/5) -2/3 (x+1)^(3/2)+c 2/5 (x+1)^(5/2) + 2/3 (...

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Q: Evaluate the following limits a) limx-0- 5 b) lim, 5 c) limx-o

A: limx→0-5x2For x approaching 0 from the left, x&lt;0  ⇒   x2&gt;0,The denominator is a positive quant...

Q: f (x) = 2x2 – x + 6 -

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Q: Consider the region R bounded by the line = 42- 8x and the parabola y = 27 – x². %3D To find the vol...

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Q: Please answer with solution help

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Q: The cos'ydy is equal to 3 A. siny + sin?y +sin³y - sin'y+ C sin'y + C 3 1 B. siny – sin³y + siny -; ...

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Q: Determine the equivalent when (8+8i) is raised to 1-i. Express your answer in a rectangular form in ...

A: We have to find 8+8i1-i=?   The magnitude of 8+8i is = r=82+82=128=82 The argument of 8+8i is = θ=ta...

Q: Let y =(f(x) + 5x2)4 and suppose that f(−1) = −4 and dy/dx = 3 when x = −1. Find f‘(−1).

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Q: 2x dæ (ӕ — 1)* (а? + 1)

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction  ..................

Q: Find the limits of the functions below a) limx-3 x* sin x b) lim,

A: We can find the limit of both the question as below.

Q: evaluate fsin.x dx inx dx JT+sin x A secx- tanx - x +C B secx + tanx +x+C C) secx + tanx - x + C

A: Here we have to evaluate, I=∫sinx1+sinxdx

Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of an...

A: Solution is given below:

Q: M. F. Given the equations y = Inx +1 on the interval 1 <x< 2, set up but do not evaluate the integra...

A: We have to find the surface area.

Q: A box with a top is constructed from a piece of 200-cm by 400 out and the flaps are folded to make a...

A: Given: - A box with a top is constructed from a piece of 200 cm by 400 cm cardboard. The shaded regi...

Q: Activity 3) Calculate mentally using compatible numbers, special factors & properties. Show all work...

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Q: Consider the following functions. f (-3,–2), (2, 0), (1, – 1), (–2, –5)} and 8 = {(5,0), (0, 1), (1,...

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Q: Find the Area of the region enclosed by Y=JT +1 and y=X, and y-axis (sketch)

A: This question is based on application of integration.

Q: Evaluate the following limits by constructing the table of values. 1. lim 3" 5. lim tan r 2. lim 5" ...

A: 1. f(x)= 3x x 0.99 0.999 0.9999 1.01 1.001 1.0001 f(x)= 3x 2.96722 2.996706 2.99967 3.03314 3.0...

Q: Find the second-degree Taylor polynomial for f(x) = 4x? – 3x + 8 about a = 0. P2(x) = What do you no...

A: Taylor polynomial

Q: Write a function in any form that would match the graph shown below. 20 16

A: Given: - The graph of the function is, To find: - A function in any form that would match the graph...

Q: Consider the graph below and find the limit of f(x) as x approaches to c. graph of f(x). -3 -2 -1 0 ...

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