Find the directional derivative of f at P in the direction of a. f (x, y) = 17 tan Р(-18, 18); а %3D —16і — 16ј %3D NOTE: Enter the exact answer. Duf

Q: 1 -dt , find g'(2). V4 +t5 If g(x) =

A: Let's find.

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: Question 10 2 c y? Evaluate the iterated integral. J. yz dx dz dy -1 A 45 В) 34 © 47/3 D 5

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Solving

Q: x-3 j. lim cose sine- sin 00 02

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Q: Find the area of the region inside the circle r = 30 sin 0 and outside the cardioid r = 10 + 10 sin…

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Q: Find the area of the region inside the circle r = 18sinθ and outside the cardioid r = 6 + 6 sinθ.

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Q: Use Green's Theorem to evaluate the line integral. | 2xy dx + (x + y) dy C: boundary of the region…

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Q: the first quadrant bounded by the graphs of y = V16 – x², y = 0, andx = 0 is revolved about (a) the…

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Q: Use the arc length formula to find the length of the curve y = 3x – 5, -2sxs 3. Check your answer by…

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Q: V4-x² c 3-x2-y² Evaluate the iterated integral. x dz dy dx -5+x²+y² A 128/15 в) 16/89 c) 23/6 6.

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Q: 1- Show that the following subset is a subgroup. H = {o e S, l0(n) = n}cS,

A: We have to show given subset is a subgroup.

Q: z = 16 - x2 - y2 10 -8 1768 46 8

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Q: Sketch the region in the plane consisting of points whose polar coordinates satisfy the given…

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Q: [r(t)xu(t)] , in two dilferent ways Find CHE).t)] and rt)- costi + sintj +tk, u(t)=j+Ek dt (i) Find…

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Q: 4. A commercial cattle company currently allows 20 steer per acre of grazing land. On average a…

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Q: Two particles travel along the space curves r(t)and u(t). (If an answer does not exist, enter DNE.…

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

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Q: Question 18 Find the surface area of that portion of the surface 2 = V4 -x that lies above the…

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Q: rl+ 4sino

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Q: NC2)=

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Q: Find the approximate area under the curve of (X) = x²+1 from x = 0 to x = 2, using 4 left- endpoint…

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Q: If g(x) J.J S. 1 -dt , find g'(2).

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Q: Using Sandwich Theorem 3n2 + 1 an = (-1)" n³ – 4 converges to 0 O converges to -1 O none of them O…

A: We have to find the limit by using sandwich theorem,…

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

A: We can solve as follows

Q: 1- sine Evaluate the iterated integrals J. J. r2 cose dr de̟ A ) 1 В 2 (c) o D 3

A: The integration of the double integral is r2Cos(theta).

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: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: We have to calculate volume of solid obtained by revolving the region enclosed by curves x=cosecy,…

Q: 3. The derivative of f(x) = In x at x = 3 when h = 0.002

A: 3) To find the true error and relative error of the function: f(x)=ln x, x=3 & h=0.002

Q: Find V x (V × F) if F(x, y, z) = 6xyj+7xyzk. V × (V × F)

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Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid…

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Q: Find T(t) and N(t) at the given point. r(t) = 3 cos(t)i + 3 sin(t)j + tk; t = T .2. NG) = .2

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

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Q: 'ind the area of the region that is enclosed by the cardiod = 20 + 20 sin 0. OTE: Enter the exact…

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Q: Use a triple integral to find the volume of the solid. The solid bounded by the surface y = x and…

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Q: Current Attempt in Progress Find the area of the region inside the circle r = 18 sin 0 and outside…

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Q: Determine the area of the region bounded by y=2x^2+10 and y = 4x+16

A: To find the area of the region bounded by the given curves.

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: Determine which value best approximates the area of the region bounded by the graphs of f and g.…

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Q: Question 11 Find the approximate area under the curve of f (x) =cos from x = 0 to x = Tt, using 4…

A: We have to find it from Trapezoidal rule.

Q: Find the volume of the solid that results when the shaded region is 7 revolved about the indicated…

A: Use the washer method to find the volume of rotation of the solid.

Q: Find the Taylor series centered at a = 0 for the following function: -7x f(x) = e 8. Answer: n=0 (Be…

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Q: Evaluate the triple integral. zy sin(yz) dV , where G is the rectangular box defined by the…

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Q: Question 16 Use double integration to find the volume of the solid bounded by the paraboloid z = 9x…

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Q: Find the volume V of the described solid S. A right circular cone with height 3h and base radius 4r…

A: Solving the problem by finding the volume of the cone.

Q: Find the area of the region inside the circle r = 30 sin 0 and outside the cardioid r = 10+ 10 sin…

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: We need to evaluate integral using Green's theorem.

Q: 11 Evaluate the iterated integral. JJ, J, (x² + y² + z?) dx dy dz A 5 в) з D 10 00

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Q: Question 13 2 Evaluate the iterated integral. yz dx dz dy

A: Evaluate the iterated integral .

Q: Verify Green's Theorem by evaluating both integrals v? dx + x2 dy dA ax for the given path. C:…

A: 9