(b) f(x) — (х + 2x*)", а %3 —1

Q: 2 y = | (x 3. 4x + 5) dx

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Q: - Show that lim sin a =D0.

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Q: Elimination of Arbitrary Constant: bxy +b*x+1=0;b is constant

A: We can find the answer as below.

Q: Which of the tollawing differential eouations corresponding to the potertial Vix) = 2x - x

A: Differential equation    Option  2nd  is correct   

Q: Solve the differential equation (7x – 4y + 15)dy + (2x – 5y + 12)dx = 0 when x = 3, y = 2

A:

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A:      

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

A: The given sequence is in Geometric Progression(GP).

Q: Solve the differential equation (7х — 4у + 15)dy + (2x — 5y + 12)dx — 0 when x 3D 3, у %3D 2

A:

Q: A straight metal beam leans against a building so that the angle between the ground and the metal be...

A: Given query is to find the length of the beam.

Q: Find the general solution of y"- 10y'+ 25y - 0 Oy= Ce- + C2ze* Oy - Ce + Cwela Oy- Ce a + C,ze be Oy...

A: Given,y'' -10 y' + 25y = 0     .......1this is homogeneous equation.Since,y" = D2yy'=DySo putting in...

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Q: 3. lim cos X

A: Given: limx→0cos(x)   We know that; cos-θ=cosθ   Let, fx=cosx

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A: Given  -ydx+(x+xy)dy=0 To find solution of this Differential Equation:

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Q: Consider the function T = xe3x+y? dy 5 and dt where x = Vt + 1, and when t O we have y -2. dT when t...

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Q: 5x dx 4. To evaluate the integral J which of the following formulas can be used? V9+x10 du In(u + vu...

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Q: Solve the following equation on (-o, co) 2 cos2 3x + sin3x = 1 %3D

A: Solve the equation 2cos23x+sin3x=1

Q: KLL- čircult C lonsider a

A: In this question we are given the RLC Circuit.

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A:

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: 4. Find the equation of the tangent line to the curve f (x) = (x² – 4)(2x + 1) at x : -2.

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

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x3 – 3x? + 4x – 12

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other que...

Q: Question 1 If T is a linear transformation such that T(1, 0, 0) = 2, T(0, 1, 0) = 3, and T(0, 0, 1) ...

A: A detailed solution given below.

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Q: 15 dx Evaluate V9+ x²

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Q: y'- 5y = x°e* – xes*

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Q: MY NOTES ASK YOUR TEACHER PRAC Find the exact length of the curve. y = In(1-x), o sxs OSXS

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A: If f(x y) is a function of two variables. Then  for fx(x y)=0 ......(1) and        fy(x y)=0 ..........

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A:

Q: Jacqueline took out a $30,000 student loan with a fixed interest rate to pay for college. Jacqueline...

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Q: k-1 10 %3D 11 k=1 The series diverges

A: By geometric series sum formula,           ∑n=1∞ -1011n-1=11+1011=1121 So, the series converges.

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³–2x)* 1. у- ; d'y/dx? 2. Y = (5x³ + 2)6 ;...

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Q: Express the repeating decimal as a fraction. 0.565656...

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Q: SOLVE FOR THE ORTHOGONAL TRAJECTORIES X'(3k-x) - ky = xy

A: Take first derivative and eliminate k. 

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Q: Eliminate the arbitrary constants y = Ce-3*sin2x + Cze¬3*cos2x

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A: The equation of the family of parabolas with vertex and focus on y axis

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A:

Q: A tank initially contains 100 gallons of brine whose concentration is Ib/gal. Brine whose salt conce...

A: