Hiw/

Q: d y Find dx? |(-1,2) if x² + y' = 9

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Q: Determine whether (1+2)"}. u d Converges or diverges. n=0

A: Use the nth term test for the series divergence.

Q: Use the root test to determine whether >a, converges, where An is as follows. n=1 332. a, = n/ e"

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Q: 6: evaluate öz/du and öz/ðv at the given point (u, v). z = tan (x/y), x = u cos v, (u, v) = (1.3,…

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Q: Let f(r) = x³ on [0, 1] and let Pn be the arithmetic partition that splits [0, 1] into n equal…

A: Given

Q: 2 : x = 1 + 3t, y = 3 – 6t, z = 5 – 3t are parallel and find the distance etween them. FOTE: Enter…

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Q: Use Euler's Formula to express each of the following in a + bi form. Use symbolic notation and…

A: i) -e3π4iii) eπiiii) 5ie-π3i

Q: find the tangent to the curve f(x)e%*-2% at X=-1. Express answer exactly in terms of e (not a…

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Q: Evaluate/Find the following integrals. 1 dx 3. S- 3 1+ x

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Q: Write out the first four terms of the Maclaurin series of f if f(0) = 2, f'(0) = 3, f"(0) = 6, f"(0)…

A: Write out the first four terms of the Maclaurin series of f

Q: Suppose that it is given to you that f′(x)=(x+5)(10−x)(15−x) 1.The first inflection point (from…

A: Given that,     f'(x)=x+510-x15-x

Q: 19. (+ 2x 4) dx

A: ∫ af(x)±bg(x) dx = a∫f(x) dx ± b∫g(x) dx . ∫xn dx = xn+1n+1+C

Q: 2. Determine the equation of the line perpendicular to the tangent line to the function f(x) = e' at…

A: We will find the equation of the line.

Q: S 4x* sin2x dx A (2xª + 6x² + 3) cos 2x + (4x³ + 6x) sin 2x + C C (2xª – 6x² • 3) cos 2x + (4x³ –…

A: Integrating by parts : ∫u.v dx =u∫v dx -∫dudx∫v dxdx dxndx=nxn-1 ∫cos(ax)dx =1asin(ax)+C ∫sin(ax)dx…

Q: Given the surface x²y + y° z+ z?x = 38. Find the normal line and the tangent plane to the given…

A: A detailed solution is given below.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: We will create a Lagrange's function to solve the problem.

Q: Calculus the producer surplus for the supply function p(x) = 3+0.01x at the sales level X = 10. Show…

A: Here we have to calculus the producers surplus for the supply function p(x)=3+0.01x2 at the sales…

Q: I (z sin(x) + y² )dV Evaluate 5 5 B = {(x, Y, 2)|– as *<I<,4 < y< 8,4 < z < 6} . %3D 6. Round your…

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Q: If f(x) = 4x(sin x + cos a), find f'(x) = COS f'(2) =

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Q: Find the gradient of the function at the given point. f(x, y) = 3x + 4y2 + 10, (3, 4) ∇f(3, 4) =

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Q: 3. 8х' + 13 2. S 3 4x' + 8х + х + 2 2

A: integration

Q: A closed rectangular box with a volume of 1296ft is made from two kinds of materials. The top and…

A: answer is in next step

Q: What does the notation AV12, 2.5) mean? It is the instantaneous velocity O It is the average value…

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Q: Given f(z) = 1-홍(10 + 7z) + 응(10 + 7a)2 - (10+7 then f'(x) =, %3|

A: Find your answer below

Q: Determine whether each improper integral below converges or diverges. dx 3. S. x* + 2x – 3

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Q: Find the derivative of the following functions from first principles. (i) x? (ii) e* (iii) log (x+…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: A culture initially has 700 number of bacteria. At 1=5 hour the number of bacteria is measured to be…

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Q: 34. w/4 sec 0 tan 0 de

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Q: 5. у 6. уд 4+ y - 8x /y =x y- + 2| x= 3 4 3- = x i 2 3 2. 2. 4. 3. 2.

A: Note:- As per your demand we solve question 5 and 6 for you  Given problems:- use the method of…

Q: 3. y = tan (3x)cot (3x)

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: 4. Calculate the integral, f 4e" sinh x dx.

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Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6,3, –5). |(a) Find the volume of…

A: Let's find.

Q: 2.* 3 S(x* + 2x - 1) cos 4x dx 3x2 +. 16 13 х 13 sin 4x + 4 cos 4x + C 32 128 B 13 х (3x2 sin 4x + 4…

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Q: S(In x)³ dx

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Q: Integrate the ff.

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Q: 9. cos(x-)

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Q: 2²y ds, C:x = cos t, y = sin t, z = t, 0 < t < a/2

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Q: Determine whether the following functions are continuouuus or not. Are not, classify them as…

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Q: 12. f(a) = 2x" -x -3 12. f(x)- x+1 1-1 if x50 13. f(x)3= %D 4x if x>0 14. f(x)= x-1

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Q: 2 (In x dx U.

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Q: Use integration by part to obtain a formula for f x"e*dx and use it to find S x'e*dx. 3 5x

A: We have to find the integral

Q: 22. Which of the following statements about the functions y = f(x) and y f(x) is true? A. If the…

A: Here, to find the correct statement for the functions y=f(x),y=1f(x)

Q: 5. (x²y + sin æ) dy, Cis the arc of the parabola y = r² from (0, 0) to (7, n²)

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Q: y = 1 - x 2- 1- 3 -3-

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Q: 1. Determine the convergence or Divergence of Sequence with given nth term. If the sequence…

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Q: 5 dz Evaluate the integral: J1" (2+3z)³ (2+3x)³ O 22 O None of these 30 15 Clear my choice

A: Given query is to find the value of the integral.

Q: Find the derivative. y = e2= . 8x3 24x?e2 + 16x4e2« – 1 O 2e2a . 24x? 24x e2 + 16x³e2* O 2xe2a…

A: We will find the derivative using Chain rule.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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