Obtain the der a) cos(xy)=2y, find y'

Q: 2) x" = (Power RUle, n any nonzero integer)

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Q: Select the correct graph of y = sinx, y = 0.2, and y = - 0.2. Figure 1 Figure 2 651 Figure 3 Figure…

A: Here, the given curves are : y=sin x, y=0.2, y=-0.2

Q: 5. x = 8- y², x = y2 – 8

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Q: 9 checik whether the following statemects are true or False. lif En an is conditionally convergent,…

A: For (i), Let us take an=(-1)nn. So, the series ∑n=1∞an is conditionally convergent but ∑n=1∞an is…

Q: Ex filnd divergenceof f when yj at (o1). 2 e ( + 9 J

A: See the answer below

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given line, x-14=y2=z-36And given plane3x+4y=-7Any  point on the line isx-14=y2=z-36=tx-1=4t,y=2t,…

Q: 7. y = 4 e2x, 4th derivative 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative

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Q: Astivity 3 tind the deve of 2x-3 uwing 3x -2 the definition -

A: Given,f(x)=2x-33x-2We know that,f'(x)=limh→ 0f(x+h)-f(x)hTherefore,f'(x)=limh→…

Q: Air is being pumped into a spherical balloon at a rate of 5 cm3/min. Determine the rate at at which…

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Q: From among the 36 students in a class, one president, one vice-president and secretary are to be…

A: It is given that, there are 36 students in a class. Out of which one is elected for president, one…

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 18) 3 v = 6 O parallel O…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Find the equation of the tangent line to the curve y = 6 sec z – 12 cos z at the point 6). The…

A: y'=secx-12cosx' =secxtanx+12sinx Slope = secπ3tanπ3+12sinπ3=83. So, we have possible equation of…

Q: 4. y = 5 cos 4x, 3rd derivative

A: Since we are given with the multiple number of question answered according to the guideline

Q: Determine the equation of the line that is tangent to y = elan"(2x) at x = 8

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude ||v|| = 8…

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Q: Consider the following planes. -5x + y + z = 5 20x - 4y + 5z = 25 (a) Find the angle between the two…

A: Consider the following planes -5x+y+z=520x-4y+5z=25a To find the angle between the two planes.b To…

Q: Consider the function 1 1- x4 Write a partial sum for the power series which represents this…

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Q: dy + 74 - 7y = 0 dx 1st order, 1st degree O 1st order, 3rd degree 3rd order, 1st degree O None of…

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Q: 5. For the Parametric curve x = a(t – sint), y = a(1 – cost) where 'a' is a constant. Find y d?y at…

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Q: Why 3^(x+2)-10×3^(x)+1=0 is -2 or 0?

A: Put x=-2 or x=0 and check which 'x' satisfy the equation .

Q: The line passes through the point(7, 8, 9) and is parallel to the xz-plane and the yz-plane. 7,8,1 +…

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Q: Use the arc length formula to find the length of the curve y = 36 - x2, 0 s x S 6. Check your answer…

A: y=36-x2   , 0≤x≤6let f(x)=36-x2  Then  Arc length =∫061+(f'(x))2dx…

Q: Find the higher order derivative a. y = 49x49 ; find d50y (50th de dx50

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Q: (3k + 8)! Consider the series> ar k3k k-1 k-1 a) What is ak+1? ak+1 = aktl ? b) What is ak ak-1/ak =…

A: The given series,     ∑k=1∞ak=∑k=1∞3k+8!k3k

Q: Hello, I am stuck on the problem. I was hoping for some help. Thank you. MacQuarie Island is a…

A: MacQuarie Island is a small island about half-way between Antarctica and NewZealand. Between 2000…

Q: V4.x2 – 9 -dx

A: Solution of question is written in below steps.

Q: 8) Find the cross product a x b and verify that it is orthogonal to both a and b. a = (1, 1, -1),…

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Q: 10. y = -3 cot 2x, 2nd derivative

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Q: In how many ways can 3 boys and 2 girls sit in a row if a certain boy and girl must sit next to each…

A: Given that there are 3 boys and 2 girls to sit in a row. A certain boy and girl must sit next to…

Q: Find a particular solution to the nonhomogeneous equation corresponding to the given initial…

A: Find a particular solution to the nonhomogeneous equation corresponding to the given initial…

Q: Astivity 3 tird the dentve of 2メー3 うメー2 ensing the definitiom

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Q: |Test the series for convergence or divergence. n2 11. Σ (-1)"+1 3 n=1 n' + 4

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Q: Tutorial Exercise Find two numbers whose difference is 186 and whose product is a minimum. Part 1 of…

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Q: Given the piece-wise function x² – 2x + 5, 3x2 – 2x – 5 f(x) = 0 2 Determine whether f is…

A: G

Q: Find a set of parametric equations for the line passing through the point (8, 0, 9) that is parallel…

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Q: 2, 0 4 Evaluate a. lim f(x) X-4 b. lim f(x)

A: Given:        fx=x, x≤02, 0<x≤14-x2 , 1<x≤4-x+5, x>4

Q: If the Wronskian W of f and g is t'e, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: Use the method of reduction of order to find a second solution of th differential equation ty"-4ty'…

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Q: B a A Note: Triangle may not be drawn to scale. Suppose a = 2 and b 11.

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Q: O y" + xy" + 3y² = 5

A: Given that the four differential equations To find:- Which is 3rd degree differential equations

Q: The integral of the given function S cos$3ydy is a. sin 3y +sin 3y +sin 3y + C b. sin33y-중sin"3y + 는…

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Q: y' + y" = siny O 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree O None of the…

A: Given problem :- y''+y''''=siny  To find:-  order and degree of given differential equation

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)"…

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Q: In Exercises 19–22, state why it is difficult/impossible to in- tegrate the iterated integral in the…

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Q: dx + (x – y + 2)²dy = 0

A: The objective is to solve the differential Equation.

Q: (a) Find the dimensions of a box with a square base with volume 27 and the minimal surface area.…

A: This is an optimisation problem, we use derivatives to find critical points and use second…

Q: /4 tan x dx /4

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Q: It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100…

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