2. Let S be the part of the cone z = √² + y² that lies between z = 1 and z = 3 with upward pointing unit normal. Compute the flux of curl F across S, where F(x, y, z) = (yz, -xz, 2³).

Q: Test Content Question 9 In evaluating Add your answer 5 dx is same as evaluating lim (In(f(x))).…

A: The integration of the integral is 1/sqrt(x2-9).

Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

A:

Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

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Q: y = 2 sin 3x 1+3 cos2x

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Q: Q2: Evaluate the following integrate: 2- S(2 + 5x) es dx

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Q: 3. 4. If =(-12, 4, 8) the position vector of u is.............

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Q: Find in each of the following. dx sin x 1. y = 1+cosx

A: We have to find the derivative

Q: The graph below is the function f(x) 5+ 4 -5 -4 -3 -2 -1 1 2 3 4 Find lim Find lim Find lim Find…

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Q: (1) (-³)) = the output value is the same as the input value. Composing a For sin (sin-1…

A: Composing of a trigonometric function with its inverse can be done in a lot of ways.    a)…

Q: Using integrals, find the area bounded by the following:  f(x) = 4x2 + 20 g(x) = 8x + 32 x = - 4…

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Q: 7. Find the points on the curve y ve y = -x where the tangent line is parallel to the line y=

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: Q1: Find the third Maclaurin polynomial to f(x) = sinx

A:

Q: 8. y = x ¹ Arctan 4(x4)

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Q: e. Find the second derivaitve. f''(x) = = f. Use parts b through e to identify maximums as points.…

A: e.fx=2x3+3x2-36x-54f'x=6x2+6x-36f''x=12x+6f. for maximum point f'x is +ve to…

Q: -1 (a) cos (b) log5 (25) -√√3 2

A: Solved below.

Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y+9y-10y = -40t²-72t…

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Q: Find the transition points. f(x) = x(11-x)1/3 (Use symbolic notation and fractions where needed.…

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Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A: The given problem is solved below in detail.

Q: culate √2-4i. Give your answer in a + bi form. In polar form, use the angle 0 < 2TT.

A: Topic:- complex number algebra

Q: What integration technique can be used to integrate: A Integration Formulas B) Integration By Parts…

A: Given: sec2xdx

Q: The position of an object moving along a line is given by the function s(t)= - 8t +72t. Find the…

A:

Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

A: The objective is to find the value of the variable x, y, z by using crammer's rule.

Q: Q14- If f(x, y) = 2xy - x² In y- 2y² + 3x + 4, then axy is : for the function

A:

Q: Rewrite the Cartesian equation y = r(0) = = Enter theta for 0 if needed. 2x² as a polar equation.

A: In this question, we need to convert the given cartesian equation to polar equation.

Q: (b) In +8 x² 2 - 36

A: We have doing solution useing logarithm laws

Q: In pair, study and find the integral of the following functions. You will be awarded marks for each…

A: We have to solve integration  As per Bartleby guidelines we have to solve 1 question if you need…

Q: 01: A. Find the general solution of the following Initial Value Problem (IVP): y+9y-10y = -40t²-72t…

A:

Q: A. Determine if p = ï - 3k and q = 61 - 3j - 4k are parallel, orthogonal or neither. 3. Find the…

A:

Q: 8 Find the area bounded by y y = 2x, y=0 and x = 3. X Using vertical element, what is the integral…

A:

Q: a. The object's velocity after 5 seconds is (Round to the nearest tenth as needed.) m/sec.

A: We have to find the velocity after 5 sec

Q: FCILICI B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

A:

Q: Question 38 What integration technique can be used to integrate: (A) Power Formula Integration By…

A: Here we have to determine the integration technique to solve the given integration. =∫5dx3+x2

Q: 6. Evaluate the volume generated by revolving the area bounded by the given curves using the washer…

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Q: Use Figure 1 to evaluate each trigonometric function of angle AA. The side adjacent to angle AA has…

A: Given; The side adjacent to angle A has length 4 and the side opposite angle A has length 14.

Q: a problem of physical  phenomena that can be solved as differential equation using Euler method.

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Q: Find the general solution of the following 2nd order differential equation: y* +2y + 2y = 0

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Q: Problem x√x+1 dr

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Q: 11. y = tan e³x + etan3x

A: We can find y' as below.

Q: (a) Find the slope of the tangent line to the given polar curve at the point specified by the value…

A: We have to find the slope of the given polar curve at the point specified.

Q: A landowner wishes to use 2 miles of fencing to enclose a rectangular region of maximum area. 1.…

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Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: What is the mass in both (a) slugs and (b) kilograms of a 4390-lb car? Answers: (a) m = slugs (b) m…

A:

Q: ·S. Given : 1 value of -AB AB. 3 72 40 8x + 1 20 3 280 3 4x - 3 4x - 3 dx. If we let the…

A:

Q: y = sin² (3x)

A: Topic = Derivative

Q: 3. y= (sec ³x + tan ²x)

A: Topic:- application of derivatives

Q: Find the determinant of A) -10 B) 0 C) 14 (D) 10 1 3 [42]

A: We can find the determinant as below

Q: Find the equation of the tangent line to 2²-3ry + y² = -1 at (2,1).

A: Application of differential

Q: Let f(x) = 2x³-9x² - 24x+2. a. Find all points on the graph of f(x) at which the tangent line is…

A: Topic = Derivative

Q: Evaluate Jx/2 6 sin x (cos x + 1)³ dx

A:

Q: Rewrite the Cartesian equation r(0) = Enter theta for if needed. = 3 as a polar equation.

A: Topic = Geometry