Find the curl of the vector field F. F = (x-y+z)i+ (6x-y+7z)j+ (9x +6y + z)k curl F = i+

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Q: Use the matrix capabilities of a graphing utility to find the inverse of the matrix (if it exists).…

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Q: Find the divergence of the field. F = (2x+7y-8z)i + (5x +3y+6z)j + (-6x-y+2z)H div F =

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Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. Σ…

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Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A: To find the area of the region enclosed between the two curves.

Q: 4 Determine whether the alternating series E (- 1)"7 converges or diverges. 9 Inn n=2 Choose the…

A: FOLLOE NEXT STEP

Q: Use the alternate definition, lim Ax)-Aa) to determine the instantaneous rate of X- a change of Ax)…

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (3t + 4)i + tj, 0 <t<1

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Q: Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area x?…

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Q: Find the area of the region bounded by: r 9 cos(80) 0 < 0 < 2T

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Q: QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium. x =3. $2 $ 27 $9 $ 18

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Q: c). Find the area under the curve f(x) = 4x +2x over the interval (5,8)

A: Given,            fx=4x3+2x , the interval is 5,8To find : Find the area under the curve over the…

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Q: The winner of a "million dollar" lottery is to receive $40,000 plus $40,000 at the end of each year…

A: In our question we are given that winner receives $40,000 plus $ 40000 at end of each year for 39…

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

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Q: dx Va - x2 we may use x= and dx= substitutions to reduce the integral to San do. This step requires…

A: To complete the following statements.∫dxa2-x2we may use x=? and dx=?substitutions to reduce the…

Q: Suppose that z = x/y, where x and y are differentiable functions of u and v such that x = dx/dv 3, у…

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Q: 3) Determine if the series converges or diverges. If it converges, to 00 2* what does it converge?:…

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Q: Find T(t) and N(t) at the given point. r(t) = (t? – 3)i + tj; t= 3 T(3) N(3) =

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Q: Question Find dy and evaluate when x = -2 and dx = 0.5 for the function y = 10 sin (9x). %3D (Enter…

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Q: 12. S,(s² – 1) sds 13. (1² - t) dt

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Q: The discontinuities of the function f(x) =D 4x-9 are: x²-2x-15 Select one: O 5,3 -5, -3 -5,3 O 5,-3

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Q: Solve triangle ABC if ZA = a = 37.1°, b = 11.5 ft, and c = 13.6 ft. Using the Law of Cosines, ft.…

A: Using law of cosines;a2=b2+c2-2bc cosαa2=11.52+13.62-2(11.5*13.6)cos37.1a2=67.72575a=8.229a ~ 8.23…

Q: Question Find the Taylor polynomial p3(x) for f(æ) = 5x1/3 at x = 3. Provide your answer below:…

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Q: Evaluate the integral. (Use C for the constant of integration.) cos3 sin2 dt

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Q: a) Favoring convenience, should you integrate with respect to r or y? b) What are the limits of…

A: Follow the procedure given below.

Q: Verify Green's Theorem by evaluating both integrals ax dA ду for the given path. C: rectangle with…

A: From: (0, 0) to (5, 0)y=0, dy=0∫ y2 dx+ x2 dy =0From: (5,0) to (5, 9)x=5, dx=0∫09 x2 dy= ∫0925…

Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. A…

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Q: The total cost would be $ (Round to the nearest integer as needed.)

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Q: Write the logarithmic equation y = In (4x) in exponential form. The equivalent exponential form is

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Q: The solution of the initial value problem: 1 dy X +1 dx 1 for which y(1) = 1 is y

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Q: Q1) A) Find the tangent equation for the function: f(x) = Vx2 + 5 at x=2? %3D

A: To find the tangent equation for the given function.

Q: Find the maximum and minimum values of the function f (x) -3x on the interval 1+x2 0<x<6.

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Q: Determine the intersection point of the two lines or show that they do not intersect. a. The line…

A: Given problem:- Determine the intersection point of the two lines or show that they do not…

Q: 3 Evaluate lim et dt. e-t dt. 20 O a) -2 O b) 2 e O) 2 O d) 2 e e) None of these

A: Giveen query is to find indicated limit.

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Q: All edges of a cube are expanding at a rate of 5 cm/sec. Let the length of the edge be denoted by x.…

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Q: 5. Fill in the blank: For x, y ER. Equality in the Triangle inequality is satisfied, i.e. Ix+yl =…

A: x+y=x+ysquare on both the sides;(x+y)2=(x+y)2 x2+2xy+y2 =x2 +2xy+y22xy=2xyxy=xyis true only…

Q: 00 (x - 3)" n n105n n=1

A: x=8

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Q: Obtain the general solution for the following differential equation. (a) y" – (a + ß)y' + aßy = 0 (a…

A: To solve the higher order differential equation.

Q: Solve for the indicated higher-order partial derivatives, fæx, fæy, fyy- · f(x, y) = Vx² + y?

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Q: The world population was approximately 6.04 billion at the beginning of 2000. It has been estimated…

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Q: Solve e2x + 7e*+6= 0 Show every step.

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Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: Given problem:- Find exactly T(t) and N(t) for x = et cost, y = et sint, z = et for t = 0

Q: Question Two poles are connected by a wire that is also conneted to the ground between the poles.…

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Q: Find the exact length of the polar curve described by: r = 9e-0 5 on the interval -T <O<67. 6

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Q: Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 x} | about the x-axis.

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