Find the curvature K of the curve. r(t) = et cos(t)i + et sin(t)j + et k

Q: A number is 8 more than another number. Twice the sum of the two numbers is 40. F numbers.

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Q: te the integral 2. 01 jjax + y + -1 -1 (x+y+1)dxdy

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: n=1 n√n Q5: Find the area shared by the cardioid r = 1 + cos and the circle r = 3 cos 0. Graph the…

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Q: 1. 2. 3. 1 | TV251 4. 5. 25²-4 dr -5 3* [cos (3*) - sin (3")] sin*(3*} 5v7,5v² Vr dr 3log(s) + secr…

A: Given ∫3x[cos3x-sin3x]sin2(3x)dxTo evaluate the integral:

Q: As the selling price of a product increases, demand decreases. Fewer people will buy a pro s more…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is  and the revenue…

Q: 1. 11 0 y x²exy dxdy

A: ∫01∫y1x2exydxdy

Q: Evaluate the following integral. S²²³ x² +48x-16 x-16x dx *** x²+48x-16 3 x³ - 16x (Type an exact…

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Q: For problems 1 - 16 use the method disks/rings to determine the volume of the sol the region bounded…

A: Here all question are not connected  According to bartley guidelines I am bound to solve only first…

Q: 2. S dt

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Q: i) Determine the following information for each rational function: -domain -x and y intercepts -…

A: According to the question, we can answer only first question and rest can be reposted.

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

A: y= x3/4 +1/3x , 0.6<=x<=3.7  Find arc length First solve √(1+y'2) .

Q: On his first three quizzes, Patrick earned a 15, 18, and 16. (A perfect score would have been 20…

A: On his first three quizzes, Patrick earned a 15, 18, and 16. (A perfect score would have been 20…

Q: H.W: find dz and əz | ди ὃν z = 4e* ln y, x = ln(u cos v), y = u sin v as functions of u and vif:

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: Integrate the integrand (x2-x+12)/(x3+2x) .

Q: = / y ²³. (X²+1) (3x+4) 5/ (2x-3)(x²-4) Find dy da

A: To find dydx:

Q: / Find Lim X. tan' 2 X X-100

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Q: dt u = xy + y z tzx x = tcost, y = tsint, z=t at t = a 4

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Q: Evaluate 4 2 4 X 13.402 -13.402 13.042 √x + 3 3 X 4 - 4 + 4 + 1 + x)\dx = None of them -13.420…

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Q: Consider the differential equation x²y" + xy + y = 0; cos(In(x)), sin(In(x)), (0, ∞o). Verify that…

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Q: Evaluate the limit using L'Hospital's rule 1 lim 6xe - 6x x →

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Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

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Q: 9x² +4y²-24y - 72x - 144 = 0

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Q: • (-1) k2k k² k=1 Use the Ratio Test to determine whether converges absolutely or diverges.

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Q: JO dt (Type exact answers.) The total amount of water that will drain from the pool is (Simplify…

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Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

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Q: S HENN -dx x4-4

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Q: Q1) Find the volume of the solid generated by revolving region bounded by curves (y =secx and y=cos…

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Q: Se³x cos (2x) dx 3x

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Q: 3x²³-2x² + 3kx + 18 by x- 6 to be equal to zero, k must be equal to.

A: Use division

Q: Find the equation of the line, in slope-intercept form, that TANGENT to f(x) = 3x² − 10x +1 at x =…

A: Given that fx=3x2-10x+1 at x=3Solution :equation of line in slope intercept…

Q: A study was made on the amount of converted sugar in a certain process at various temperatures. The…

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Q: H.W: Find the center of mass of a solid of constant density & bounded below by the disk R: x² + y²…

A: Solution

Q: Use the Midpoint Rule with n= 3 to approximate the integral. S √x + 1dx = [Please enter your answer…

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Q: Given the points A(7, -2, -9 ) and B( 7, −2, 2 ). Question 3 a) [:] Write parametric and symmetric…

A: We have to find the equation of line and intersection of line and plane.

Q: Let C be the curve y 12 11 10 9 8 7 6 5 15 4 + 25 1 3x for 0.6 x ≤ 3.7. Find the arc length of C…

A: Given that curve y=x34+13x  for 0.6≤x≤3.7Solution : y=x34+13x y'=3x24-13x2Simplify…

Q: IF Y=√√√xx-√√x²+√√2x³ 3 Find dy dx

A: Since you have asked multiple questions, as per our guidelines we are supposed to answer only one…

Q: Use the table of Laplace transforms to find the Laplace transforms of the following cos² 2t sint cos…

A: Topic:- Laplace transform

Q: If 2 [² then f(x)dx = 5 and is equal to 10 5 prox Select one: O 15 O none of the others O -5 5…

A: The given integral is f(x) limit from 1 to 2 equal to 5 and the integral f(x) limit from 2 to 5…

Q: The distance from the point K(3, -2, 0) to the xy-plane is Select one: 3 -2

A: Find out the correct option.

Q: Use the Midpoint Rule with n = 4 to approximate the integral. 11 K √x + 5dx = [Please enter your…

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Q: Find all values of x in the interval [0, 2(pi)] that satisfy the equation.  14 + 7 cos(2x) = 21…

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Q: can you please write it clearly for a better understanding

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Q: Use the matrices below to perform matrix multiplication. B If the operation is undefined, enter NA.…

A: Using Matrix operation

Q: Your college newspaper, The Collegiate Times, has fixed production costs of $7000 per edition, and…

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Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

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Q: True or False: We have Select one: O True O False 8 [√x dx √xdx = 12.

A: We have to find the given value of integration is true or false.

Q: 6. Evaluate lim no 3n²-7n +41 2n² +42n- en

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Q: Maximize B=2xy2, where x and y are positive numbers such that x+y2=10. The maximum value of B is…

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Q: 17. A cone was formed by rolling a thin sheet of metal in the form of a sector of a circle 72 cm in…

A: Firstly calculate length of the sector then height of the cone