Evaluate (2xy³ − y² cosx) dx + (1 – 2ysinx + 3x²y² )dy y² from (0,0) to (ñ/2, 1) along the parabola 2x =

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Q: Find the iterated integral. (Give an exact answer. Use symbolic notation and fractions where…

A: Solve the following

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Q: 1. Let b, c, d be real numbers, and let a be a nonzero real number. Consider the function f: R → R…

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Q: D Question 10 Find the derivative. y = Š O 02 √8x+9 dt √√8x+9 (8x +9)3/2 +9 O√√√x+9+√9

A: Given query is to find the derivative.

Q: 9. Passes through the points (1, 2, 3), (3,-1, 4) and (1, 0, 1). ✔ 23

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Q: Use the divergence theorem to write a triple integral that is equivalent to the flux integral F.ds,…

A: Divergence theorem

Q: 11. 7(t) = (cost, e¹, Int)

A: Given rt=cost,et,lnt We know that dcostdt=-sintdetdt=etdlntdt=1t

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A: Please see the below picture for detailed solution.

Q: Suppose w = 8x² + 2y², X = 3 cos(t) + 9 sin(t), and y = 3 cos(t) — 9 sin(t).

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Q: Given the following vectors, calculate −7u+4v U=(2,9),V=(-8,0)

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A: Prove; Cos(pi/2 -x)=Sinx.

Q: 75 (B) H (C) (D) 45 (E)

A: Topic:- application of derivatives

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Q: Evaluate Answer: 6 Soº da √196+x²

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Q: The Maclaurin series for sinx can be written as ...? a) Oa) O b) Oc) o d) 18-00 (-1)'+1x2r+1 (2r+1)!…

A: To determine the Maclaurin series for sin x.

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A: As we know from the definition of the dot product of the two vectors. If the given vectors are a=a1,…

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Q: lim (x,y)→(0,0) 1 - cos(7xy) ху x-y lim (x,y)→(9,9) x4 — 4 - = m m www m

A: We need to evaluate limit.

Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. […

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Q: 4 Find the equation of each graph after the given transformation. a y = 3x² after a stretch parallel…

A: Let's find equation of each graph after the given transformation.

Q: Inventory Control Jesaki Publishing sells 50,000 copies of a certain book each year. It costs the…

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Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 7, b) a sum not…

A: A pair of dice is rolled.

Q: Developing Find f'(x) 1) f(x) = sec(x)e* 2) f(x) = 2* + 4x²

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Q: Find the mass of a ball of radius 7 if the mass density of the sphere is proportional to the square…

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Q: Use the ratio test to determine if the series converges or diverges n (1+27) ² Σ ∞0 n=2

A: The given series is  ∑n=2∞ 1+2nn2n

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Q: 6. A particle moves along the x-axis. The velocity of the particle at time t is 6t - t². What is the…

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Q: Solve the matrix equation. - 1 -2 1 0 3-2 2-2 1 X = y Z 3 25 3 OA. There is one solution. The one…

A: Let's solve Matrix equation.

Q: Find the average value of the function f(x) = 3x¹ on the interval 2 ≤ x ≤ 5. Round your answer to…

A: Given query is to find the average value of the function.

Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x² xy lim (z,y) → (9,9) √√T √y…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the length of the curve F(t) = (3 cos (3t), 3 sin(3t), 2t) for-9 ≤ t ≤ 5 Give your answer to…

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Q: Given the following vectors, calculate 5u + 3v. Answer u = (7,0), v = (-8, 10)

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Q: 1. 4× 22 || Decenas 4 x 22 = 4x decenas + || || Unidades + unidades) (_________ decenas) +…

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Q: launched straight up in the air from a height of 6 feet. Its velocity (feel/second) t seconds after…

A: Given query is to find the average velocity.

Q: Let f(x) = = 3x + 8 √x+26 I-12 2 if x -1 if x = – 1 Select all statements below that you agree…

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Q: Determine the form of particular solution for the following differential equation (do not solve):…

A: The differential equation is given as , D2+9y=5ex-162x2 Determine the form of particular solution.

Q: Graph the set {xx<-1} on the number line. Then, write the set using interval notation. {x|x<-1}=

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Q: Use Green's Theorem to evaluate SF F.ñ ds, where F = √x + 5y, 4x + 5y) and C' is the boundary of the…

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Q: A company's revenue from selling x units of an item is given as R=1000x-x^2 dollars. If sales are…

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Q: Given r= 1 and r = √2 cos 0 Find all the intersection points of the following curves.

A: Given           r=1    ..........(1)           r=2 cos θ  ..........(2)   Equating equations (1) and…

Q: Find the iterated integral. (Give an exact answer. Use symbolic notation and fractions where…

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Q: A volume is described as follows: 1. the base is the region bounded by y = 9 - 1x² and y = 0 2.…

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Q: Determine which of the following is the particular solution for the differential equation (D² - 3D +…

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