SS (27y²-4x) dA (27y² - 4x) dA R: 0≤x≤3, 0≤y≤2 R

Q: H.W/ Maximize QuiZ 1/ 2= 80×1+ 60 X ₂ X₁ + X₂ 15 100. subj to: + X₂ 15 150 X₁ + 10X₂ If Boo الاحدا

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Q: Consider the function F(x, y) = xy2 + 2xy-6y2-8x-12 y + 54. (a) Find the critical points, where Fx…

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Q: Factor each of the operator: SHOW YOUR COMPLETE SOLUTIONS 1.) 2D²5D-3 2.) 3D² + 7D + 2 3.) D³4D²+D+6

A: The factorization is done by splitting the middle term of the quadratic polynomial/operator.

Q: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

A: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

Q: Differentiate the following: (a) x² cos(cos(x)) (b) eesin(x)

A: These are different  question  and not sub part of one question,  so we have solved first 2…

Q: Use upper and lower sums to approximate the area of the region using the given number of…

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Q: Let an = 1 for n = 1, 2, 3, ... . Write out the the first three terms of the following sequences. 3n…

A: Given  To find (a)  then find (b)  then find (c)  then find (d)  then find

Q: A golf ball manufacturer knows the cost associated with various hourly production levels, given…

A: Production cost for golf balls is given as,

Q: Consider the following. Find y'(x). y'(x) = y = X = X x² +9 Find the critical numbers of y(x).…

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Q: y = sin-¹(6x + 1)

A: y=sin−1⁡(6x+1)

Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: 10 P.M. an oil tanker traveling west in the ocean at 15 kilometers per hour passes the same spot as…

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Q: A large tank is partially filled with 150 gallons of pure water. Brine containing 2 pounds of salt…

A: Let A(t) be the amount of salt at any time t According to Question Rate of pumping in  gal/minRate…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: 7. 10 Consider the function f and the point Po given below. Find a unit vector u in the direction in…

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Q: ind the limit if it exists. lim (12x+11) elect the correct choice below and, if necessary, fill in…

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Q: 5. Find the outward flux of the field F = xzi+yzj+k across the surface of the portion of the sphere…

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Q: Form a polynomial whose real zeros and degree are given. Zeros: -4,0,1; degree: 3 C Type a…

A: we are given the zeros, and we need to find out the function.

Q: Isolate 9.\ 2 5 = 22 gt² + vt gt² + avt ??? 25 = 25= 2 ut(+ +2 g = expected: -avt + $25 t²

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Q: Consider the following. f(x) = √√49 - x² Find the critical numbers. (Enter your answers as a…

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Q: Solve the following differential equations using HOMOGENEOUS DE. Show your complete solutions. 2.…

A: To solve the following differential equation by using Homogeneous DE.

Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: Let f(x) = 2x + 3 and g(x) = -3x - 6. Compute the following. (a) (fog)(x) (b) (fog)(9) (c) (gof)(x)…

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Q: Let g(x) = ² + 12 Ax² + B (x²+12) C A = B = C= = D = E = F = g"(x) = x(x² + E), where (+²+F)G where…

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Q: The following integral is an improper integral. ( Explain why it is improper, (b) determine whether…

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Q: Consider the graph of y = y 3 2 1 -1 -2 -3 f(t) dt, where f is a piecewise constant function. 2 3…

A: The graph of a piecewise function is given as,

Q: Find the derivative a. f(x)= 6/(3x2-pi)4 b. f(x)=((3x2-pi x)4

A: (a) given,

Q: Find the equation of the tangent plane to the surface determined by x³y² + z-30 = 0 at x = 3, y = 5.…

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Q: f(x) = x³ - 27x + 8

A: f(x)=x3−27x+8

Q: Find the interval containing x = 0 where f(x) = 81x - tan(x) is increasing. Write your answer as an…

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Q: 9. Locate all relative maxima, relative minima, and saddle points of the fol- lowing function f(x,…

A: The given function is

Q: If f(x) = f'(x) = f'(4) = tan x - 5 sec x 3x² tan(x) sec(x) X

A: The Quotient Rule:Use the common derivatives:

Q: Given the graph of f(x) shown, sketch the graph of the function described. y=f(x+4) Which of the…

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Q: 3) Prove the following statement using the Intermediate Value Theorem (IVT): 2+3* = 4* has a…

A: Question No. (3):To prove the following statement using the Intermediate Value Theorem (IVT):  has a…

Q: Let f (x) 8-x-x² if x ≤3 2x-7 if x>3 Calculate the following limits. Enter "DNE" if the limit does…

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Q: (a) Find parametric equations for the line segment that joins the point P(-1,-4,-3) to the point Q…

A: Question no. 1(a):To find the parametric equations for the line segment that joins the point .Note:…

Q: Is the series convergent or divergent? If convergent, is it absolutely convergent? cos (πn) e-n COS…

A: Consider the series

Q: At what point(s) on the curve x = 6t² + 9, y = t³ - 5 does the tangent line have slope 2 (x, y) =

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Q: Consider the curve r(t) = (t² + 1)i + tj + (2t² + 3t)k. What is the velocity? What is the accelera…

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Q: Let g(x) = 2x² - 216x. Find the relative maximum and minimum values of g. Also find the intervals on…

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Q: dz Find when u = 0, v = 3, if z = sin (xy) + x sin (y), x = 3u² + v², and ди y = 2uv.

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Q: Question 6 Calculate the resultant of the forces shown in the concurrent force system. 6N 40% 30N…

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Q: Evaluate the following limit. lim x→0 3 (²2 x 3 sin(2))

A: L=limx→0(3x−3sin⁡(x))

Q: 2. by (No need to justify for full credits if your choice is correct.) A. B. C. Which of the…

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Q: Given that (fog)(x)=x-8, which are correct rules for f(x) and g(x) that result in this composite…

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim (15 tan…

A: y=limθ→π2−(15tan⁡θ)15cos⁡θ

Q: Find F'(x) given S*** (6u + 4)du. Select one: a. b. C. d. e. F'(x) = 6 F'(x) = 4+6u F'(x) = 4 + 6x…

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Q: Find f'(t) if f(t)=4t² +8t+3.

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Q: The total cost (in dollars) of producing x food processors is C(x)=2300+60x-0.3x². (A) Find the…

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Q: Find the value of an investment of $20,000 for 14 years at an annual interest rate of 3.85%…

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