Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xcos2y dx + tany dy = 0

Q: 2. For g(x) = cos³ (2x - 1), find g' (#). %3D –

A: topic - derivative of a function

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Q: fcot(x) dx

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Q: 2 Represent the function as a power series f(x) : (1 – 7æ)2 n=0 e radius of convergence R

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Q: Evaluate the following integral using partial fractions: 2x2 + 1 (x – 1)(x - 2)(x - 3)

A: Topic:- integration

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Q: If 7x5 - 5y7 = 5x² + 7y°, find dy/dx. dy dx II

A: Given problem:- If 7x5 - 5y7 = 5x2 + 7y5 , find dy/dx.

Q: 6. DETAILS BERRAPCALC7 3.6.025. 0/2 Submissions Used For the equation, find dy/dx evaluated at the g...

A: We will find the implicit differentiation at a point. 

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A: Given f(x)=cot 8x

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Q: 1) (22 - ry + y?)dx - xydy 0, where y(1) = 0

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Q: Find dV, the estimated change in volume, if the radius of a sphere changes from 6 to 5.9. Round you...

A: Given problem:- Find dV, the estimated change in volume, if the radius of a sphere changes from 6 to...

Q: Compute the value of the improper integral. (If the integral diverges to o, type 00; if the integral...

A: Integral Test : Suppose f(x) is continuous , positive and decreasing function on the interval [k,∞) ...

Q: Find the fourth order Maclaurin series expansion of the function, f(x) = In(1 - 2x).

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Q: Let f(x, y) = xe*-y and P = (5, 25). Calculate ||V fpll- (Express numbers in exact form. Use symboli...

A: Solve the following

Q: 1. lim In (x –9) 2. lim log, (8x-x*) x3* x-2" 3. lim In (cos x) 4. lim In (sin x)

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Q: Find an equation of the tangent to the curve given by x = t* +1, y = t° +t at the point correspondin...

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Q: 6. lim In(2+x)-In(1+x) 5. lim In(1+x*)-In(1+x)]

A: Topic = Limits

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Q: Determine the particular solution. dy _' x = 1, y = 0 dx x O ev/x - In(x) = -1 O ey/x + In(x) = 1 O ...

A: To determine the particular solution of the following initial value problem.dydx-yx=eyx; x=1, y=0

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Q: I+1 5. h(z) at r 1 22-1 6. g(r) Vr-3 at r 4 7. g(r) = at r 8 %3D 8. g(r) = at z 0

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. • T/4 6 – 6 sin2 0 de ...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Determine the particular solution. v²dx + (x² + 3xv + 4y²)dy = 0; x = 2, y = 1

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Q: Find the directional derivative of f(x, y, z) = xy + z at the point P = (2, –6, –-1) in the directio...

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Q: Calculate the partial derivative using implicit differentiation of + = 10 at (x, y, w) = (1,2, 1). %...

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

Q: A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into ...

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Q: n Cos 3n (g) 2 1+ (1.2)" n=1 n ( 1 ) Σ (h) (1+2n²)" n=1 n 1. 3.5. .... (2n – 1) (i) - 5nn! n=1

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Q: 2 Given a circle with radius, r, and a sector with area, A, formed by angle of 0 radians. Find a for...

A: Here we have to find the area of the sector.

Q: If r = 26 cm, what is the area of this sector? Express your answer to the nearest tenth of a centime...

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Q: 5. (sinx + cosy)dxdy

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Q: dz a) $. Y z – 10

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart...

Q: The minimum hourly wage was P50 in 1960 and P257.50 in 2000. What is the average annual inflation ra...

A: Here we have to find the average annual inflation rate in the minimum wage.

Q: -1 (11) Find fo g* (2) =? (A) f•g* (2) = f( 2) = undefined; g(2) = 0 (B) f•g° (2) = f('lg2)= undefin...

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Q: Calculate M, for f(x) = 6 · In(æ³) over [1, 2]. M6 ||

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Q: For the curve x (t) = t², y (t) =t³ – 3t Given the curve crosses itself at (3, 0), a) Find the point...

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Q: Use the Integral Test to determine the convergence or divergence of the p-series. 1 n8 n = 1 Σ 1 dx ...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Determine the particular solution. (2xy)dx = (y² – x²)dy × = 1, y = -2 2 = 3x3y + y3 O 3 = 3x?y + y3...

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Q: Find the linear approximation of f(x)=sin(x) at x=2π3 and use it to approximate sin(121∘). Give you...

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Q: Find dy/dx at the given point without first solving for y x2 + 3xy + 11 = 0 at (1, –4) %3D dx II

A: To find: The value of dydx at the given point without first solving for y. Given information: The cu...

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A: Given :  z = < 3, 2, -7> Let's find the parallel vector-    

Q: Find the derivative of the function. (2) = earcsin(z) 3e arcsin(23)22 V1- 25 f'(z) = V1-26

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Q: A particle moves according to a law of motion s = f(t) = t3 - 15t2 + 72t, t2 0, where t is measured ...

A: Solution