3 5). | e2x dx -1

Q: Find the gradient of the function at the given point. w = x tan(y + z), (18, 4, –1) Vw(18, 4, -1) =|…

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Q: dx (x2 + 1)(x2 — 2х + 1)

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Q: Evaluate the definite integral. "1/4 9 + 5 cos?(8) cos?(e) de

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Q: Find the surface area of the sphere x^2 + y^2 + z^2 = 100 that lies above the cone z = sqrt(x^2 +…

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Q: Let A = (1,0, 2) and B = (6,-2,3). Solve for projĄB.

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Q: x² + 2 xp (х — 2)(x2 — 2х + 2)

A: The given integral is: I=∫x2+2x-2x2-2x+2dx   We know that; ∫1ax+bdx=1alnax+b+C

Q: Find if the sequence converges or diverges. If it converges, find the limit.  an=e2n/n+2

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Q: +00 (2х — 1)" n Σ V4n + 1 n=0

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Q: s given by Archimedes be the volume of the object, p the weight density of water, and g the…

A: Follow the procedure given below.

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = i

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Q: 5. v(t) = t2 – t – 12 is the given velocity function in feet per second for a particle moving along…

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Q: 6. lim e (x, y)→(1, –1) cos(x + y) -xy

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Q: Determine the derivative of each function using the limit definition. 1. Y = 2 – 7x - 2 = 4 – 5x –…

A: f'(x) = limh→0 f(x+h)-f(x)h.

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: dy Find dz and simplify: y=ln[tanh(ax)] where a = constant

A: Topic = Derivative

Q: Determine whether the following converges or diverges {(5) n 2n +1 n=1

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Q: Find the vector component of v = (4, – 1, 7) along b = (1, 2, –2) and the vector component of v…

A: Given v=(4,-1,7)      b=(1,2,-2)

Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+3k w = i+ 8j + 6k Find the…

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Q: A ski resort has a lift from A to C, as shown in the figure below. Angle DAC measures 40°. Mountain…

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Q: What is the volume generated by revolving about the x axis the area bounded by the y = 20 +1, y 0, e…

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Q: 4. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. r = cos“ 2

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Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci. Show…

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Q: fundam nob

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Q: alculate the integral, assuming that 6 f(x) dx = -13 and f g(x) dx = 36. %3D %3D Give your answer as…

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Q: (a) If = cos (2x), then y= xp (A)cos (2x)+C cos* (2x)+C (C) sin(2x)+C 2. 2. 2. (D) sin (2x)+C (E)…

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Q: Find the sum of the given convergent series. > [tan-1(2n – 1) – tan-1(2n + 3)] n=0

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Q: n+1 4) Para la serie de potencias (x-2)** halla el intervalo de convergencia. a) (-2,6) b) [-2,6] c)…

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Q: Find the derivatives using Trigonometric Functions 4 y = cos* t – sin* t \1/2 ソ= v = (2 tan² 20 –1)"

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Q: If f(x) = 4° + 81log4x. then = f'(2) (Answer accurate to 2 decimal places.)

A: Given  f(x) = 4x + 81 log4x We have to find f'(2).

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: Determine whether the pairs of the functions are linearly inde- pendent or linearly dependent on the…

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

Q: Q4. Solve the following problem using the simplex method: Minimize z = x- 4y Subject to 2x - 3y <6 x…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity, use variables  the given…

Q: Given f (x,y) =4e** In y with x = In(u cos t) and y = u sin t. The correct value of dz evaluated at…

A: Given fx, y=4e3x ln y, with x=lnu cos t, and y=u sin t.To determine the correct value of ∂z∂u…

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Q: 1. Using properties of definite integrals, given f(x)dx = 10 and | g (x)dx = – 2, evaluate 2 6. a)…

A: (a)∫26-f(x)+g(x) dx  = -∫26f(x) dx+∫26g(x) dx = -10 + (-2) =-10-2=-12∫26[-f(x)+g(x)] dx =-12

Q: (c) пcos (пп) 2n n=1 Hint: For part (c) write out a few terms to see the behavior of this series.…

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Q: t e dr (1 – e")2

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Q: The cost in dollars for removing p percent of pollutants from a river in Smith County is 72700p 100…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x + 45 dx

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Q: Graph the sinusoidal function using key points. 41) y = 1 + cos x 2- 1 -2n TC -1- -27 42) y = 4 sin…

A: Let's find.

Q: The blade of a windshield wiper sweeps out an angle of 135° in one cycle. The base of the blade is…

A: Follow the procedure given below.

Q: Consider a triangle where A = 30°, a = 1.8 cm, and b = 1.3 cm. A C (Note that the triangle shown is…

A: topic - Law of sines

Q: Evaluate the iterated integral. 5 dy dx dy dx i

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