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Q: Consider two nonnegative numbers x and y such that x+y=3. What is the difference between the maximum…

A: The given  equations are x+y=3 and the maximum and minimum quantity is 4x2y2 to find the maximum and…

Q: Evaluate ff, x² In(y + 1) dA where R = [0,1] x [0,1].

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Q: 'ind, from first principles, f.(3, –1) for f(x, y) = 4x²y² + e%.

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Q: * Evaluate. 2t |4 + et| dt

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Q: Solve diffesential earuation by the separating the variables dy3= %3D

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Q: Express in terms of i. 1. V - 100

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Q: For what numbers​ x, −2π≤x≤2π​, does secx=​1? For what numbers x does secx=−​1?

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Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 5u − 2x = 3v + w

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Q: Find mZQ. 3 R. 1 mZQ = %3D Submit

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Q: r(t) = ( tan(7t), sec(8t), -'(t) =

A: rt=tan(7t),sec(8t),1t2 We have to find r'(t)

Q: By using the substitution method, show that for any positive numbers x and y

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Q: Find the Domainand Rang e .y--2 Sec 2(층-곳) +3 TT 2 Sec 2¢ |

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

Q: find the value of so that ky'=3 at y =1- For --=1 x y O 12 3 O o

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Q: Solve for x: 42x – 20(4*)+64 = 0 [HINT: let u = 4*] %3D

A: Given, 42x -204x +64 = 0 We have to find the value of x

Q: The total revenue and total cost (both in dollars) for selling q Objects are given by TR(q) 800g –…

A: when a function is increasing its derivate is >0 but when its decreasing its <0

Q: Prove that Σ", (2i-1)-. .

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Evaluate ze -dz, where C is z+ 2 ((+2+2)?

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Q: 25, a = 13, b = 18, A = 45° %3D %3D

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Q: = Express by ¡y¡ in the terms of x variables where y; = C₁jx; and bicik = 8%.

A: express bijyiyj in the terms of x variables where yi=cijxj             ...i and bijcik=δik…

Q: Fiud He solution to Hil equetion iultrat ccudiitrou I loleo adduciing that R= 150 Sz, V (t) IJ…

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Q: Express ow/ds in terms of r and s if w = x² + y², x=r-S, y=r+s A) 4s B) 4r C) 4sr O O

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Q: Find mZG. E 35-/2 F 70/2 mZG %3D Submit

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Q: 17. Find x if mRTU = 11x-7, MZSTR = 2x + 16, and mZSTU = 152°. w %3D S T. U

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Q: "x is between c and d" translates to csxsd O True O False

A: Given query is to find statement is true or false.

Q: 5. y' = 2x?y – 4y %3D

A: 5 Given differential equation is y'=2x2y−4y......1. We have to find the solution of the given…

Q: Compute: (i-2) (i+2) Answer: 2.

A: Solution: The objective is to compute the given equation

Q: 1 -dz O Vīo O vī2 VīI 6,

A: By see this solution below

Q: drant x = drant

A: Trigonometry: a) For angle A: Quadrant 3, x=-4,y=5For angle B: Quadrant 4, x=-3,y=4

Q: ex g. y = In ex-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: ABCD is a Rectangle 1. If AC = 2x +3 and DB = 4x – 1, find x.

A: It is given that,ABCD is a rectangle. If AC=(2x+3) and DB=(4x-1),then find x.

Q: Evalu‎ate ∫C (x + 2y) ds, w‎here C is the cu‎rve defi‎ned by y = √(4 − x2), for x ∈ [0, 1]

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Q: 5. Solve: 4xy2(3x³y – 5xy) = 0, Let y = 2 %3D

A: A detailed solution is given below

Q: dr if r= Vs+1 dt and s=16r² – 20r 1. Find - %3D

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Q: Show that if (x.g) m. is re<rz, it is 8lx,r) C Blx,g) for x Ex. U.

A: Metric or Distance: A metric or distance is a function ρ :X×X→ℝ such that ρx, y represents the…

Q: Express the following functious by Cartesian equetion r=4 tano seca r= 4 CSCO 2 t=l+2rcosa

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Q: I can't understand the answer because the text wan't correctly formatted.

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Q: z+2 dz I cot (z?+4z-3)

A: ∫z+2cot(z2+4z-3)dzSubstitute u=z2+4z-3→dudz=2z+4→dz=12z+4du=12∫1cot(u)duWe know that…

Q: Use the substitution u = (x – 1) to find S Tx-1) dr, |(x-1) giving your answer in terms of x.

A: Substitute as given in the question Take the derivative on both sides to write it in differential…

Q: Express by ¡y; in the terms of x variables where y; = C¡¡x; and bicik = 8k.

A: Given equations as yi=cijxj and bijcik=δki

Q: Use substitution method to prove step-by-step that (PAQ)^(P = –(Q^R))^(S = R) = ¬S.

A: We are asked to prove the following using the substitution method, P∧Q∧P⇒~Q∧R∧S⇒R⇒~S We will show…

Q: Use Example 4 to calculate -(r x r'), where r(t) = {t, t2 , et)

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Q: de J 2- 3sin(e)

A: Given that: ∫dθ2-3sinθ

Q: Com Pare with C.R.I (n) fc2) AZ 27 %3D

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Q: min 40x, + 30X; ニ 281 t X2 z 20 2xx + 3x2 2 30 X,, X ZO

A: We have to minimize the objective function Z=40x1+30x2 with the given constraints and x1, x2≥0 using…

Q: S 1+ Vxdx 3

A: We need to evaluate the integral

Q: proof ACC >

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Q: 3,,7 _29 Simplify: V64x³y' z2º.

A: We have to simplify the following expression: 64x3y7z296

Q: Solve for v in terms of r, s, t, and u. ru = tsv %3D V =

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Q: Prove that

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