(а) dy/dat = sin 2x. (b) dx + e dy = 0. (с) zdy/dx — у. (d) cosec y dx + sec2 x dy = 0. dP (e) dt Р- Р?. |

Q: Let a 1+Vn" (a) Does the sequence {a,} converge or diverge? If it converges, find its limit. If it d...

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Q: 5. Determine whether the function f : R+ → R defined by the rule f (x) = positive real numbers x in ...

A: A function is said to be bijective if the function is both one one and onto. The given function is f...

Q: x² + 4x +4 x 1 -

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Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose volu...

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Q: yln" (I+ y?) dy I+ y2

A: Given:  Let I=∫y ln71+y21+y2 dy To Find: To evaluate the given integral.    

Q: Find Vƒ(P) and D7f(P). (a) f(r, y, 2) = yf + z² – 4xz; Ū = } i – $ j+ k; P(-2,1,3)

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Q: d²y = 5x? + 1 dx2

A: First we integrate both sides with respect to x and solve it. Follow 2nd step.

Q: evaluate fsin.x dx inx dx JT+sin x A secx- tanx - x +C B secx + tanx +x+C C) secx + tanx - x + C

A: Here we have to evaluate, I=∫sinx1+sinxdx

Q: The function below is a simplification of which integral?" 4. 4 a sin(2 3x) + 3 cos(2 3x) + c 6.

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Q: 2x – x° dx (x – 1)° (x² + 1) 8.

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Q: lim X->I 2 2 tan ()

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Q: tan e de (1+ In cos ele

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Given problem:- Sketch the region enclosed by the given curves. Decide whether to integrate with res...

Q: Step 2 of 3: Use the following information to find (g •f)(x). fte) = (r + 5)* and g(x) = x2-5 %3D An...

A: The given function is: fx=x+512 and gx=x2-5 To find the value of gofx.

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2x - 4xy + 3y -...

A: f(x,y)=2x2-4xy+3y2-4x+4y+5fx=4x-4y-4consider fx=0⇒4x-4y-4=0⇒x-y-1=0⇒x-y=1 fy=6y-4x+4consider fy=0⇒6y...

Q: If h(2) 9 and h'(2) = -4, find %3D %3D d (h(x) dx x = 2

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 2л3 + 4г2 + 7a - 6 dx 24 — За? — 4

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Q: In constructing an open rectangular box from 588 ft of material, what dimensions will result in a bo...

A: Given problem:- In constructing an open rectangular box from 588 ft² of material, what dimensions wi...

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to ...

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Q: 2e" dx (e – 1)2 1

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Q: Find the solution to the initial-value problem. y' = 3x2(y2 + 9), y(0) = 0 y

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Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the v...

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Q: A common complaint about income tax is "I can't afford to work more because it will put me in a high...

A: Answer to given problem is shown below - 

Q: Use separation of variables to find the general implicit solution to the differential equation. 9  d...

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy – x - 4y² +...

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Q: (16 In 2005, the summer uille Jarnalhad Il0,00 subsciptiou. The number of subacriptrons Sibaeah 8/ e...

A: NOTE: Refresh your page if you can't see any equations. . the exponential function is given by here...

Q: Evaluate the following integrals. 1 dr x²/r² – 9

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Q: 15. Write a value in the box below that make the equation true. 1 log, 18 = 2-log, 6 - 4 log, %3D 3

A: Given query is to find the unknown value of the box .

Q: Suppose that the graph below is the graph of f'(x), the derivative of a function f(x). Find the open...

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Q: (ii) L„(sin x) dx # 0 .

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Q: 5. If log, x = 0.3 and log, y = 1.24, then %3D the value of log, x°y = %3D

A: logax3y3=logax3+logay3 logax3y3=3logax+3logay using the given data, we have logax3y3=30.3+31.24

Q: Find all the values of x such that the given series would converge. n! n=1 IM:

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Q: t' sin (2t*) dt Evaluate O 1/8 t^4 sin(2t^4) - 1/16 cos(2t^4 )+c O -1/8 t^4 sin(2t^4 )+1/16 cos(2t^4...

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(8,0,8) on the su...

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Q: Question 3 ) For the function 4Vi + 2t + 1 f(t) = consider the definite %3D integral 2 - f(t) dt. a)...

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Q: Find y' and y''. y = lnx + (7+x^2)^1/2

A: We can find y' and y'' as below

Q: f = ((-3,-2), (2, 0), (1, – 1), (–2, -5)} and 8 = {(5,0), (0, 1), (1, 1)} Step 2 of 4: Find (f- g)(1...

A: We can find the answer as below

Q: Suppose (2, -3, 4) x (1, 7, a)= (-16, 12, 17). Determine the value of a

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Q: ) Sketch the region of Integration and write an equivalent polar integral. Then evaluate the polar I...

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Q: Step 1 of 3: Use the following information to find (f • g)(x). ftx) = (x + 5) and g(x) = x2 - 5 %3D ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: a) State if the following are True or False. You need not show any working. (i) z = 2 – 2i has magni...

A: To state whether the given statement is true or false.

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: z sin(2- 32)+cos(2 - 3a)+c | 4x cos(2 – 3x) dx 4x cos(3 3r) dx Option 1 Option 2 |4 cos(3- 3z) dr 4....

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Q: (i) f(t) = (t³)(t°) is an odd function. (ii) L",(sin x) dx # 0 . (iii) Given the Fourier transform p...

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Q: Consider the following functions. f (-3,–2), (2, 0), (1, – 1), (–2, –5)} and 8 = {(5,0), (0, 1), (1,...

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Q: c) f(x) = V3sinx d) f(x) = x³tan(5x)

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Q: H.W: 1. find the derivative of the function f(x, y, z) = xy+ yz+ zx ,at the point P,(1,-1,2) in the ...

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Q: Suppose Ryan borrows $9000 at an interest rate of 3% compounded each year. Assume that no payments a...

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Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation belo...

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