Find the centroid of the region. NOTE: Enter the exact answers. (x, y) (?, ?) = y y=x8 1 8

Q: Find the partial sum Sn of the arithmetic sequence that satisfies the given conditions. a2 = 7, a5…

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Q: Can anyone please help me to solve this problem

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Q: Construct the truth table for each of these compound propositions: a. (pvq) → (p @q) b. (p^q) → (pv…

A: We have to find the truth table for the given compounded prepositions.

Q: Find the arc length of the graph of NOTE: Enter the exact answer. L || r(t) = √²ti + e-√²tj + 2tk,…

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Q: Using trigonometric substitution to evaluate, 2 5² dy y√√y²-25

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Q: etes the stateme I all the intervals w

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Q: [ sin³(2x) dx

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Q: Verify Green's Theorem by evaluating both integrals [1²0x + x² +1 = [] (2012 - 31²) A dy (ON-OM) dA…

A: Greens theorm is varified.

Q: long as 1 235 times as long 235 times as long 235 times as long 360 235 times as long 2π 360 times…

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Q: Verity Green's Theorem by evaluating both integrals ƏN [x² dx + x² αy = [] (2 - 0) A √y² dy dA ax ду…

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Q: Σ (1 + 28) n=1 n =

A: Solution: ∑n=1∞(1+x8)-n is an infinite geometric series with the first term b=1x8+1 and the common…

Q: Jinny and Bing You has a total of 172 dollars. After Bing You spent 1/4 of his money and Jinny spent…

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Q: 1. x +4 √x -dx

A: We will use substitution method.

Q: xdy-[y+xy' (1+ In x)]dx=0 is

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Q: Describe the graph of the equation. r = − 17i + tj + (t²-1) k It is a parabola in the x = It is a…

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Q: xy + 1 lim (x, y)→(1, −1) x² − y²

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Q: 4. dx +

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Q: Evaluate the limit below for f(t) = √t and x = 3 in two steps by using algebra to simplify the…

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Q: Solve the equation. Give your answer correct to 3 decimal places. 10,000 = 1500e0.07x

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Q: r₁(t) = 9ti + 4t²j + 3t³k, r₂(t) = t¹k d # [r₁(t) · r₂(t)] = = dt d dt [r₁(t) × r₂(t)] = r(t) x

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Q: Calculate the following derivative if h(w) = √weów¸ (Use symbolic notation and fractions where…

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Q: dx S x² √√16-(x-3)² Let x 3 = 4sec 0 dx = 4 sec 0 tan 0 de Is the solution on the right track? If…

A: We have to find the integral.

Q: Derive the following functions. Basic Rule should be applied.  y= x^5 - 3√x

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Q: Given f(x,y,z) = x³yz². Find fy(1,1,1)

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Q: 2ydx + x(x² In y-1)dy=0

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Q: 21. SHOW YOUR WORK Solve the system of equations in three variables: x - 3y + 2z == 10 2xy + 3z =- 9…

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. - 4x…

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Q: The function f(x) is described by the graph below. 6 2- -1- -7 -6 -5 -4 -8 -2 -1 0 4 5 6 -1- -2- -3-…

A: Draw the tangent to the curve at x=1.5 & x=2 as shown:

Q: 3x hp Find for 2 Әх (2x + 3y) 5. Select the correct answer below: 15(2x + 3y) O 10(2x + 3y)4 О Зу 2x…

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Q: (d) r(π/6 + At) - r(π/6) = √3 2 cos At sin Ar-1+(cos Ar i+ At + 2 3√3 2 -sin At 1 3/-)1 2 X

A: We can solve as follows

Q: A large tank is partially filled with 400 L of fluid in which 5 kg of salt is dissolved. Brine…

A: The number of kilograms of salt in the tank after 30 minutes is 133.18 kg.

Q: Find a simple closed curve Cwith counterclockwise orientation that maximizes the value of { v²dx + (…

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Q: sides and an angle are given. Determine whether the given information results in one triangle, two…

A: Given query is to find there is one triangle , two or zero.

Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y = 4 -…

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Q: Derive the following funtion. Basic rule should be applied. y=x+ √ x

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Q: Find the arc length L of the graph of r(t). 1 r(t) = t³ i + t j + = √√61² k, L = i I 2≤1≤7

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Q: 4. f cot³ 2x csc¹ 2x dx = f cot² 2x csc4 2x cot 2x dx = f(csc² 2x - 1) csc* 2x cot 2x dx Let u =…

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Q: Question The total monthly cost of a family plan depends on the number of phones, p, and the GB of…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: The manufacturer of color televisions can sell 1600 sets to his dealers at $427 each. If the price…

A: The manufacture of color televisions can sell 1600 sets to his dealers at $427 each. If the price is…

Q: Recall that an angle making a full rotation measures 360 degrees or 27 radians. What is the degree…

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Q: 3. Sketch the graph of y=-2 sin Show evidence of transformations. Clearly plot your points. y=-2 sin…

A: Given:       y=-2sin2θ-π3+4  This is in the form of y=asinbθ-c+d       Here a=-2                b=2…

Q: 3. In evaluating the integral S fractions. Let x² dx (x-1)²(x²+1)' you will decompose x² dx…

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Q: Evaluate [sin2xcos2x, dx 1 Acos4x+C 1 ® - cos4x+C B 1 -cos4x + C Cos 1 -cos4x + C

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Q: = cot = C C In (x² + y²) + 4 arccot =

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Q: Evaluate [12x. (2x - y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 32)

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Q: The volume of a cube is increasing at a rate of 60 in3/sec. At what rate is the length of each edge…

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Q: Calculate the first five derivatives of f(x) = sin(x). Then determine f(24) and f(25). (Use symbolic…

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Q: The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the…

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Q: Evaluate the iterated integral. 7 2 z z [ [²] ² 1 -1 J-y Y (-72+3 ln (7)) x dx dz dy

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