Current Attempt in Progress Sketch the curve by eliminating the parameter, and indicate the direction of increasing t at t=0. x = Vi. y = 41 + 2

Q: Sketch the region R of integration and switch the order of integration. P(x, y) dy dx F(x, y) dy dx…

A: Given: I=∫-22∫x24fx,ydydx The region bounded by the curves y=x2, y=4 from x=-2 to x=2 is shown…

Q: Calculate the (f(g(x)))' and (g(f(x)))' derivatives if f(x) = x8 1 g(x) 5x + 1 (Express numbers in…

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Q: Determine the derivative of у. /20x+6 y = ev y =

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Q: n/2 c sine Evaluate the iterated integrals J. r cos e dr de 0. A 1/6 B 1/2 c) 6 D) 11/9

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Q: 34 Count lim (1+x) F b) lim (1-x)* メ→0 The limit in (a) determines e. What special number does the…

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Q: Inx Evaluate the limit using L'Hospital's rule: Lima0 cosh

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Q: Find V. (V × F), if F(x, y, z) = e²i+ 3xe"j – 7ev*k. - V · (V × F)

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Q: Evaluate the integral by choosing a convenient order of integration: x cos(xy) cos' (Tx) dA; R 0, x…

A: Given

Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each…

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Q: Evaluate the iterated integral. J. J, J vz dx dz dy A 45 в) 34 (© 47/3 D) 5

A: Topic = Integration

Q: (b) Ir(t) x u(t)] dt (i) Find the product first, then differentiate. (ii) Apply the properties of…

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Q: 2. A rocket is launched in the air. Its height (in meters above sea level) as a function of time t…

A: To solve the following problem

Q: Find the interval and the radius of convergence for the series n=1 n2"

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Q: Evaluate JJ xy dA , where R is the region in ху ´(1, 3) (5, 3) R (2, 1) (4, 1) A) 56 в) 67 38 D) 90

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: For each of the following series determine if the series converges or diverges. 00 In(n) Σ n n=2 n3…

A: The given series,1. ∑n=2∞ln(n)n2. ∑n=0∞n3n4+1

Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

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Q: Use the formula k(t) = |r(t) × r"(t)|| ||r(t)||° to find k(t). 13 r(t) = e"i+etj K(t)

A: Solving

Q: 1) lim x100+500 ex

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the area of the region enclosed by x² and y integrating with respect to y. the curves Y = 4x by…

A: A detailed solution is given below

Q: Evaluate the integral. NOTE: Enter the exact answer. c10 1 xe"y dy dx

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. p…

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Q: (b) Evaluate the velocity vector and acceleration vector of the object at the given point. %3D %3D…

A: As you mentioned part b is solved

Q: Directions: Evaluate the derivatives of the following functions with respect to x and simplify the…

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: Question 11 /4-x² c 3-x²-y² STS xdz dy dx Evaluate the iterated integral. J. J. -5+x²+y? 0, A)…

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Q: 1+9n² b) Determine whether the sequence a, = converges or diverges. If it converges, %3D 1+n find…

A: The given sequence is: an=1+9n21+n2

Q: Evaluate J xy dA¸ where Ris the region in y =x? 2 A 13/7 16/3 18 D) 20 B.

A: To find : ∬xydA where  R is the region of y=x2 and y=0

Q: Find the exact arc length of the curve over the stated interval. 1 1 Gy, from y =1 to y = 3 12 NOTE:…

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Q: Evaluate the line integral / (2x + 7y)dx + (4x – 6y)dy along the curve C: = 6 cos t, y = 12 sin t…

A: Let's find.

Q: 4 y=V4x- 2/2x

A: Topic = Derivative

Q: Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the lines x = 0…

A: Given: y=2x-6x=0 and x=4

Q: Find the area of the surface that is generated by revolving the portion of the curve y= x² between x…

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Q: Tabular representations for the functions f, g, and h are given below. Write g(x) and h(x) as…

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Q: Question 8 Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the…

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Q: | x2 In|4x| dx

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Q: Find the area of the region bounded by the graphs of f (x) = x° and g (x) = x. (А) 1 B c) 0.5 D 3

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Q: The point P(8, - 10) is on the terminal side of an angle e in standard position. What is sec(e)?

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Q: 27. | (u + 2)(u - 3) du 2+x 29.

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Q: ... 3x+ 2y + 4z = 12 12 15

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Q: Use Ore's theorem to prove that any n-vertex graph G for which |E(G)|> (",') +2 is Hamiltonian.

A: answer is in next step

Q: n/2 sine Evaluate the iterated integrals r cos e dr de 0.

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Q: 6. Find the length of the curve r(t) = t'i – 2/2tj + (t – 1)k for 0 st<1. |

A: To find the arc length of the curve rt=t2 i-22t j+t2-1 k for 0≤t≤1.

Q: Find V · (V × F), if F(x, y, z) = 7e**i+9xe³j – eu=k. V·(V × F) =

A: Given thatF→=7exzi+9xeyj-eyzkto find ∇.∇×F

Q: The position vector r describes the path of an object moving in the xy-plane. Position Vector Point…

A: Given :r(t)=6costi+6sintj

Q: n° 3. Determine whether the sequence a, - converges or diverges. If it n – 2n° converges, find the…

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Q: Where is each function continuous? (a) f(x) = Vi %3D

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Express the iterated integral as an equivalent integral with the order of integration reversed. 30…

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Q: Find V x (V × F) if F(x, y, z) = 4xyj+ 9xyz k. V x (V × F)

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Q: Consider the limits. lim f(x) = 6 x-7 lim g(x) = -8 x→7 Evaluate the limit using the limit law for a…

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Q: Evaluate the iterated integral. 4ze dy dx dz

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