Where:(25 degrees)

Q: (4t°y – 15t2 – y) dt + (tª + 3y² – t) dy = 0.

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Q: 3. Find from the following functions: dx y = (12x + 2)(7x + 3)3/2 18+2x+7 y = (i) (ii) (3x+6)2/3

A: 3)I) y=(12x+2)(7x+3)3/2 ii)y=(18x2+2x+7)/(3x+6)2/3.

Q: Using the tabular approach, evaluate lim X-1+ Inx

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Topic:- sequence and series

Q: 4. Given the function f(r) = 3 - 6.r+2, discuss its relative maximum and minimum points, the interva...

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Q: 6. Calculate the derivative by logarithmic differentiation and then evaluate g' at the indicated val...

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos 5 t dt COS V sin t

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Q: XP If x=Y Vi-y!.find d

A: x =y1-y2 dy/dx = ? now derivate with x dx/dx = (dy/dx)1-y2 - (2y2/21-y2)(dy/dx) 1 = (dy/dx)(1-y2 - 2...

Q: find as xm Plotes of the following carre then graß h them X-4

A: Given query is to find the asymptotes and the graph of the curve 

Q: Evaldate the Fallewing integ rals; (1-Sin 2t) cos2 t d t

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Q: A space shuttle carrying humans and science experiments contains an air ratio similar to (but not th...

A: To find: The volume of oxygen is in the space shuttle. Given information: A space shuttle carrying h...

Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: 4. Assume y(x) = eaª cosBx is one of the solutions of the DE y(3) – 3y" + 7y - 5y = 0. Then α+β= (A)...

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Q: An+1 to determine if the sequence { ne" } is strictly increasing or strictly decreasing. an Use the ...

A: By see this solution in below

Q: 4. For vectors ū and î as shown, a) Determine the magnitude and direction of üxv. 10 145° 8. b) Dete...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) 1 n = 4, c = 5 P4(x)

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Q: dx 3. S XVx-1

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Q: This is a differential equations problem. Solve the following IVP's using the Laplace transform met...

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Q: 1 dx x² – 1 C3 5. . J2

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: A force of 15.2 pounds makes an angle of 30 with the horizontal. Find the horizontal component of th...

A: Given force is 15.2 pounds Given angle is 30° Find the horizontal component of the force.

Q: The graph of a function f is shown below. x3 x4 x5 x2 At which of the labeled r-values is f(x) least...

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Q: Investigate the continuity of the function at x=3. S-2x +4 if x23 f(x)x-1 fx<3 At x3

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Q: f(x)-f(xo) f'(x) = lim 2. f(x) = x2-5x + 6 3. f(x) = Vx + 6 at x = 2 at x = 3

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Q: Find the indefinite integral. 2+ 4x + 3. dx B+ 6x² + 9x + 2 Step 1 du/dx dx Let u = Begin by rewriti...

A: The given integral,       ∫x2+4x+3x3+6x2+9x+2dx

Q: Find the derivative of the function y = sin^-1 x/sqrt 1 + x^2 – tan^-1 x. %3D

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Q: A series has n-th partial sum given by sn = 9+2e . Calculate the sum of the series. an n=1 Σ an

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Q: Using integration by parts, the integral Sxsec(2x) tan(2x) dx is equal to:

A: Integrating by parts : ∫u.v dx =u∫v dx -∫(dudx∫vdx)dx ∫sec(ax) tan(ax) dx= 1asec(ax) +C ∫sec(ax) dx ...

Q: By completing the square, dx the integral S is equal to: (x+5)Vx²+10x+21

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Q: Integrate S (a?- ) dv ; where " a" is constant O = - + C 3 =-{ (a? – v²)* + (a? – v²)* + C O = (2? –...

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Q: Find the radius of convergence and the interval of convergence. k(k + 5) k=1 Radius of convergence: ...

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Q: The growth of bacteria makes it necessary to time-date some food products so that they will be sold ...

A: Given query is to find the number of bacteria after indicated time.

Q: Use the limit comparison test to determine whether the series converges Σ 7k + 5 k=1 The series

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Q: Find y' for X= cos( sinx)

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Q: (y-2)(y²+4) 4. S x3-x2+1 dx (x²+2x+2)2

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Q: Fill in the table with the correct information by referring to the function f below. The table conta...

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Q: sin 0 d0 cos? 0 +5 cos 0 +6

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Q: Tutorial Exercise Find the indefinite integral. sin 70 V cos 70 de Step 1 To solve the integral sin ...

A: Given problem:- ∫sin3(7θ) √(cos(7θ)) dθ  

Q: inconclusive, then say so. 5* Σ 00 If p = + 0, enter "inty". i The series converges. The series dive...

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Q: Activity 3.3. Find the equation of the tangent line to the curve f at the given value of x. Show and...

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Q: 3. Find an equation of the plane passing through the points P = (5,1,1), Q = (1,1,2), R = (2,1,1)

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Q: A lighthouse rotates its light in a circular motion with a constant speed. If the beacon of light co...

A: Given ,  A lighthouse rotates its light in a circular motion with a constant speed If the beacon of ...

Q: di 4. The voltage across an inductor is given by v= L dt (4) Find the voltage across a 40H inductor ...

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Q: z" + 6z' + 9z = e-4t z(0) = z'(0) = 2

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Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions. ...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Given: f(x)=e3x, c=0

Q: The derivative of the function y = tan(In(vx2 –- 6x + 1)) is: |

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Q: The length () of rectangle is decreasing at the rate of 2 cm/sec while the width (w) is increasing a...

A: This question can be solved using rate of change of physical quantities.

Q: -dz :+ 5: + 6 2

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Q: What is the volume generated by revolving the shaded region around the x-axis? Use the Disk Method. ...

A: Here we know that Volume (V)=∫abπr2dxTherefore here,Given function y=4x-1V=∫14π(4x-1)2dx Take the co...

Q: Find the in tervals on which f are: (il In creassing and decreasing Con cave uP and con cave down an...

A: Here, the given function is: y=sin22x, [0,π]