1+ In x Find f (x) so that when u = f(x) the integral dx can be rewritten as cot u du tan(f(x))

Q: Q3) Find the limit for the following function by using L'Hopital's Rule: x2. e* lim x→0 tan2 x

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Q: Use the Quotient Rule to find the derivative of the function. Re) = Sos(t) f'(t) =

A: We will find the derivative of the function f(t) as following.

Q: Find the derivative of the function without using the Quotient Rule. y 63 8(x)10

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Q: Find f(x)dx if 3. 3 4 f(x)dx = -7 and f(x)dx = 3 0. 4 f(x)dx %D 3

A: topic - definite integral answer is 10

Q: equations

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Q: If k-P converges, then k-p+0.001 converges. k=1 k=1

A: If ∑k=1∞k-p converges, then ∑k=1∞k-p+0.001 converges.

Q: Evaluate the following differential equations by method of variable separable. Show your solution. 1...

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Q: Consider the following sequence: 7" {an} 3n2 n=1 An+1 to show that the given sequence {an} is strict...

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Q: A man starts walking north at 6 ft/s from a point P. Five minutes later a woman starts walking south...

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Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y...

A: Solution is written in below steps.

Q: 5. 3xydx + (x2 + y?) = 0

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Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter UNDEFINE...

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Q: What is the value of 1/2 x(3 cos(x) + sin(x))dx ? -7/2 Give your answer as an integer or as a decima...

A: Topic:- integration

Q: Determine whether the alternating series converges. k + 1 E(- 1)*+1. 3k + 1 k=1 O The series diverge...

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Q: Consider the curve y = V 2x – x² where 0 < x < 2. -

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Q: EXERCISES 1. What value(s) of c, if any, will satisfy the IVT for the given function f and the given...

A: topic - intermediate value theorem

Q: Find the indefinite integral. sin 70 V cos 70 de Step 1 To solve the integral | sin 70 Vcos 70 de, r...

A: The given integral is sin3(7 theta)√(cos(7 theta).

Q: Determine whether the series converges. k 2 In(k + 3) k=1 O The series diverges. O The series conver...

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Q: 53. A statue 3 m high is standing on a base of 4 mhigh. IFan observer's eye is 1.5 mabove the ground...

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Q: Using the partial fractions technique, the function f(x) = 37x+82 can be written as a sum of partial...

A: ∫37x+82x2+2x-24 dxConsider 37x+82x2+2x-2437x+82x2+2x-24=37x+82(x-4)(x+6)37x+82(x-4)(x+6)=Ax-4+Bx+637...

Q: k+2 k=1 The series diverges.

A: To find rhe sum of series

Q: When the linear differential equation is multiplied by an integrating factor the equation will becom...

A: Answer of given question is written in below steps.

Q: Find the derivative of the function. (t) = (9t + 14)2/3 6 f '(t) = (9t + ly)1 3

A: Given that        f(t) = (9t + 14)2/3 Here we have to find f'(t) .

Q: Current Attempt in Progress Use the ratio test to determine whether the series converges or diverges...

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Q: Write the first five terms of the sequence: 11 ln 7n) +00 In n n Determine whether the sequence conv...

A: Given: ∑n=1∞11ln nn

Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: y = cos* (;x) dx

A: y=∫cos412x dx

Q: Find the derivative of the trigonometric function. f(t) = t° sin(t) f (t) = -1

A: Given query is to find the derivative of the expression.

Q: Suppose an object in circular orbit stops in a position where cos(0) The terminal point is 13 locate...

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Q: du Compute f CSC X u = f(x), then dx sin x – cos x 2 -

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Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

Q: Use the distance formula to find those points whose x coordinates are either -4 or 4 and whose dista...

A: Distance formula for the two points (x1,y1) and x2,y2is(x2-x1)2+(y2-y1)2let (x1,y1)=0,0    and   (x2...

Q: 8 구 6 5 4 10 -9 -8 -7 -6 -5 -4 -3 -2 2 -4 -6- -10- Find the parametric equations for the graph shown...

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Q: 5. у'+2у %3D х2

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Q: Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is f f(u)du. Find f ().

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Q: 2:(y-x² )dx+ dy =0 1.

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Given the line segment from the point (13, 7) when t = 0 to the point ( – 1, – 9) at t = 1, find the...

A: When t=0 then point (13,7) and t=1 then point (-1,-9)  

Q: Required information NOTE: This is a multi-part question Once an answer is submitted, you will be un...

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Q: p-

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Q: Determine whether the series converges using the Ratio test. Σ 4* k8 k=1 The series

A: Given query is to find series converges or diverges.

Q: obtain the Maclaurin series for V1+x.

A: We need to find the Maclaurin series for 1+x9

Q: Solution of the given differential equation. Assume dy + 30y = 12; dt -30 When y 30t dy !3! dt Thus,...

A: We will find the solution for the given differential equation. 

Q: I'm currently not understanding how you would do this problem.

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Q: 7 sin(t) + tan(t). tan(t)

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Q: Jse the difference an+1 decreasing. - a, to show that the given sequence {an} is strictly increasing...

A: Let's find. 

Q: (10xy + 8y - 32y +7)dx+ 2(x +2xy– 4x)dy =

A: To solve the differential equation , I have used the method of exact differential equation and then ...

Q: solve question 32 with complete explanation asap

A: Topic:- complex number

Q: A cylindrical tank of radius 20 ft and height 3 ft is two-thirds filled with water. Find the work re...

A: This question can be solved using the concepts of application of integral.

Q: The function f(x, y) : 1+2? +y? is 1-x2 -y? discontinuous at the points {(x, y)\æ² + y² # 1}. True F...

A: f(x,y)=(1+x^2+y^2)/(1-x^2-y^2)

Q: -1)k+12 11 17.-(6k – 7) Use the formula for the binomial series: (1+ x)" = m(m-1)2 t … + m(m-1)(m-k+...

A: Here, the given function is: f(x)=1+66 And, the given binomial expansion is: (1+x)m=1+mx+m(m-1)2!x2+...