Find the area of the region bounded by the curves 1 y (x+4)²² y = 4 and the x-axis using vertical strip.

Q: Using dA = dx dy, set-up the double integral that will find the volume of a solid bounded by z = 1…

A: We need to setup integral.

Q: Given f(x) = a-1 5xª−1(1 − x)b−¹,0 0. Evaluate ſ*x* f (x)dx. HINT: Express B (a,b) (¹ rk f(x) dx as…

A: Let's evaluate given  expression.

Q: 4. x-1 x² + 5x+8 Ja da

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Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to s = 112t -…

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Q: Find the area of the region bounded by the curves y = the x-axis using vertical strip. (x+1)2/ = 4…

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Q: e same overtime Create Workflow xb₂) 5(21 @ (1) The volume of the solid obtained by rotating the…

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Q: The substitution = 2x -y and v= x + y make the region R (see figure) into a simple region S in the…

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Q: P 2. ( a) Find the average value of f on [9,25]. b) Find all c in [9, 25] such that f(c) = favg.…

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Q: 7. Sara wants to show that (ā × b) × ĉ ‡ ả × (ỉ × ĉ). Yasmina says that it is impossible and comes…

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Q: hat is the concave up and concave down?

A: In terms of the second derivative Concave Up, Concave Down, Points of Inflection,  The graph of y =…

Q: Define R as the region bounded by the functions f(x) = 3 and g(x) = x + 1 between x = 0 and x = 1.…

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Q: ng a trig substitation, the integral (A) / sec(0) do dr can be transformed into one of the

A: Please refer to the image below

Q: 5. If Evaluate the following. (a) F' (9) (b) F (0), by interpreting F (0) as an area x) = √25-1² dt.…

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Q: Find the volume of the region bounded above by the elliptical paraboloid z=6-2²-2² and below by the…

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Q: For the following graph of a function, estimate the area under the curve in the interval [-4, 2]…

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Q: Suppose the ball is dropped at rest from the top of the house 64 ft above the ground and the only…

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Q: Get general equation of this DE: (1 + y^2)dx + (x^2y + y + 2xy)dy = 0

A: Solving the DE by seperation of variables

Q: 10. Consider the function f(x)=2x^2 +(0.4)x If the constant of integration is C=7.2, what is the…

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: Given that      Region R : 0≤x≤1 , 0≤y≤1-x2 , 0≤z≤4-x2+y2    Now, we take…

Q: 3 Evaluate: 2₁ (4x²yz - 2 ) dz dy dx 4

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Q: Explain why the equation 7 = (-1,0, -1) + s(2,3,-4) + t(4,6,-8) where s, t ER does not represent the…

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Q: Do as indicated. a. Find the equation the tangent line and normal line to the graph of f(x) = x³ at…

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Q: 11 12 13 14 15 Solve Solve Solve Solve Solve ((AND)U(CNA))-(CNB) (BUC)-(DNA) (BUD)-(ANC) (ANB)U(DNC)…

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Q: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are chosen from…

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Q: 2. S 2x 2 5+2x+x -dx

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Q: What is the equation of the tangent line to the curve y = at point (0,0)? O none of the choices O y…

A: Tangent line

Q: 4. An object is moving along a horizontal line according to the position function s(t) = 2t³ - 21t²…

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Q: e2x 1. Evaluate the indefinite integral -1 dx. ex-1

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Q: Which of the following true about the function a(x) = 21² +1-6 T-+-2 O A. a(z) has an infinite…

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Q: Set up the triple integral that will give the following: the volume of the solid B that lies above…

A: Given

Q: v (2uv²-3) du + (3u²v² − 3 + 4v)dv = 0 Ov(u²v² +3u + 2v) = c Ov(u²v² - 3u- 2v) = c Ov(u²v² - 3u+ 2v)…

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Q: Evaluate the double integral: y LL (Hint: Change the order of integration to dy dx.) dx dy.

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Q: Prove that dx x(1+x²) 5 = lnx - 1²/2² (₁4²2²2) + ( C. +x²

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Q: In Evaluate the integral: ₁²t² fln s t teu du ds dt

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Q: -3 Evaluate the integral: ³ ft t² et du dt

A: We know, ∫emxdx=emxm , for any real number m. ∫xndx=xn+1n+1, for any real number n.

Q: 3 If the total cost function is given by TC = 300+5g + then the marginal cost function MC = I 3 O a.…

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Q: PLEASE SHOW COMPLETE SOLUTION.   Find the area bounded by y = 1/4 x^4 − x^2 and y = x(x − 2)(x +…

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Q: Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given

Q: y = 1 1+ u 1 1-x

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Q: What is the magnitude of a projection p = (7,3) on a = (-4, 2)

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given that  The Region bounded by the curves  y = 4 + sec(x) , y = 6 ,  -π3≤x≤π3  about y = 4…

Q: Find the volume of the solid generated by revolving 1 the region bounded by y = e¯x², the x-axis and…

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Q: 3 Evaluate the integral: Soft²eu du dt

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Q: 1. Evaluate the assigned limit using L'Hopital's Rule. lim [cos (2x)]¹/(*-*) 2--

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Q: Please do this typewritten only for upvote. I will not upvote if it is handwritten. Make sure you…

A: Given that,

Q: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

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Q: dx √ex +1 S=

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Q: Q3. Evaluate : IL (2) * dy dx

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Q: 4 nd the area of the region bounded by 2x = y²+1 nd the y-axis using the horizontal strip.

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Q: There are two 12-hour clocks, Clock A and Clock B. One clock is broken and it runs at a different…

A: Concept: There are two clocks A and B, one clock is broken and another one is normal which means…