10 %3D1

Q: Find div F and curl F if F(x, Y, z) = 11y°z°i – 3x*z°j – 6xy°k. - div F= curl F=

A: The given vector function is: F(x,y,z)=11y6z5i-3x4z6j-6xy3k Let, F(x,y,z)=F1i+F2j+F3k then…

Q: Find div F and curl F if F(x, y, z) = xz³i+ 4y°x²j+ 6z²yk. div F= curl F =

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Q: tdt 1-t4

A: Topic = Integration

Q: In(x) -dr

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Q: S csc³ 4x cot 4xdx

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Q: ||r(t) x r"(t)|| ||r'(t)||* Use the formula k(t) to find k(t). 13 r(t) = 10 cos(7t)i+ 10 sin(7t)j+…

A: Given; r(t)=10cos(7t)i+10sin(10t)j+3tk

Q: In x

A: A detailed solution is given below

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given a vector function

Q: dy (ay +3+x+3y) y(2) = 0 da 4(y+1) In x2+6x -12 a. y = + C O b. None of the choices is correct.…

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Q: Q2 Evauate : fx V+1 dx

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Q: Given the function g(x) = 4x° – 36x?+ 96x, find the first derivative, g'(x). g'(x) = (x),6 Notice…

A: Given that, the function is g(x) = 4x³ - 36x² + 96x We have to find the g'(x),g"(x) and have to…

Q: detailed computation in determining the height of the cabin or part of the Ferris wheel at a given…

A: We are given a ferris wheel with the following informational : diameter : 64 m No of cabins : 32…

Q: Find curl (3z i+ 4x j+ 5y k). curl(3z i+ 4x j + 5y k) = ( i )i + (i )j+( i )k

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: xー1 dx (x+1) (x-3)5

A: Use substitution method for solving the  integral.

Q: Find an equation for the plane tangent to the level surface x² + y? +z = 4 at the point Po(1,1, 2).…

A: Solving

Q: Find r'(t). r(t) = (tan¬(11t))i+t cos(t)j – vtk NOTE: Enter your answer in terms of i, j, and k.…

A: Here, the given vector function is: r(t)=(tan-1(11t))i+tcos(t)j-tk

Q: Find r'(t). r(t) = (tan¬(11t))i+t cos(t)j – vik NOTE: Enter your answer in terms of i, j, and k.…

A: This is a problem related to derivative of the function. Based on the general formula and concepts…

Q: Find the limit (if it exists) (а) lim x — 5 (b) lim 5 x-243 x2 + 6x + 8 (c) lim x--2 x + 2 sin x (d)…

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Q: Use Stokes's Theorem to evaluate F. dr. In this case, C is oriented counterclockwise as viewed from…

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Q: Consider the lines l : = 2 – y = z +1 and l2 : y - 2 3 1. Determine a direction vectors for the…

A: Consider the lines L1: x-12=2-y=z+1 and L2: 1-x2=y-2=z-33.1 To determine a direction vectors for the…

Q: dz Find given: dt z = ze", z = t°, y = 1+ 4t dz dt Your answer should only involve the variable t

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Q: 5) Find tue soletion of the differen tiel equation dr Sec't which paffes dt fant +1 turough the…

A: Solve the differential equation by separation of variables.

Q: Find r'(t). r(t) = (tan-(11t))i+t cos(t)j – Vtk | NOTE: Enter your answer in terms of i, j, and k.…

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Q: Describe the graph of the equation. r = 7 cos t i - 16 sin i j+k O An ellipse in the planex = 1,…

A: We have to describe the graph of the equation.

Q: 3 roblem 4. The third term of a geometric sequence is 9, and the common ratio is Find the fifth…

A: Given problem:- The third term of a geometric sequence is 9, and the common ratio is 3/2   Find the…

Q: Vcsc² 0 – 1d0 [In (sin 0)]² + 23

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Q: roduct directly and then by applying the formulas dr dr r(t) and dt dr, dr x ). dt Fi(t) - cos(t)i +…

A: To differentiate.

Q: Suppose that w = f(r, s, t), where r = r(x, y), s = s(r, y), and t = t(x, y). Which of the following…

A: Solution is given below:

Q: We want to fenca in a ne slide b up againd a lacae building and Idbesn't noedh fancing rechanguler…

A: This question can be solved using the concept of maxima or minima.

Q: Find the are lengtu of tue graph 10) of the fenetian y= x+5 over the imiterval [12, 14]. Anwens a) §…

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Q: Determine the vector field of F. F(1, y) = 9i – 3j

A: kindly attached following graph.

Q: 3) use implict differentiation to finol dd et the point (8.1). 4 xy+ slny=32 Anywery: 28 a) 37 り 36…

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Q: Evaluate the definite integral. i +e´j+tk )dt O e 7 – 1 e17 - (e-' – 1) + - (e~) - 1) j + k 17 O el7…

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Q: e the formula k(t) = F(t) × r"(t)|| to find k(t) r(t) = t’i+ t°j

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Q: 3. Use chain rule to find given w = Vx2 +2y2 + z² and a cos (st), y = -2s In t ane 2 = 3s?Vt. 3s2Vt.

A: Follow the procedure given below.

Q: Determine the vector field of F. F(x, y) = 6i – 3j

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Q: Colleen's office equipment is depreciating at a rate of 9% per year. She paid $24,500 for it in…

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Q: Find the value of the series: 1+2" 3n-1

A: We have to find sum of series.

Q: 8. Evaluate the double integral ry=2x L3) dydz. x=1

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Vector

Q: Use the Taylor series for f(x) = Vx, centered at a = 16, to approximate the numerical value of v17.…

A: This question can be solved using the concept of Taylor series centered at a.

Q: e cosx sin x dx 1-e2 cosx

A: Given problem:-

Q: x + 2y = 1 , x – 2y = 8 . Credit will be given for use of the method, and not for the so y =-7/4.

A: We will solve using cramers rule.

Q: S (1/(X(Im)*) dx X(Inx)

A: LetI=∫1xlnx2dxLet u=ln(x)differentiate 1xdx=duI=∫1xlnx2dx.I=∫1u2du.I=∫u-2duUse power…

Q: 24) use the Refio Test to determine tue canvergen ce or divergence of tue seri's 7n (~1)"(4)'…

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Q: Find div F and curl F if F(c, y, z) = 5y°z'i – 14x°z°j – 5xy°k. div F= curl F=

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Q: Determine if the following function is continuous or discontinuous at x = 0? 4 +5 f(z) = 9-3z

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Q: (2r+1)ar +2r+1

A: Given: ∫2r+1r2+2r+1dr

Q: Sy³/y² + 9dy

A: ∫ y3y2+9dyLet u=y2+9=∫u2-9u2du=∫ u4-9u2du=∫ u4du-∫ 9u2du=u55-3u3Substitute back…