dy Use implicit defferentiation to find if given 2xy-y dx = 1. O A. y-x O B. X. X-y OC. X. У -х O D. y X-y O E. None of the above. Click to select your answer.

Q: Evaluate the followin dx X dx%3D X- 3 (Type an exact answer.)

A: Integrate as general

Q: Sclve th initial valu e probi dy + 2 . 3. dx3 dx? Y'c0) = 8 y"(0) = -4

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Q: This question is designed to be answered without a If y = ex, then d"y - dx" O ex. O ex. O (-1)"ex.…

A: Our objective is to find the nth derivative

Q: az Q8: If z = x* + y3 – 2x'y, find and ay Q9: Find an expression of for y = e sin(e-(*). dx dy

A: Note -  Acc. to Bartleby guidelines we are supposed to do only one question. if you want more…

Q: S Evaluate: A None 1 dx (x-3)2 (в B D -I (E) ∞ (does not exist)

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Q: e dx tx- e-e, Given that use this result to evaluate Se + 2 dx.

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Q: xy(dx-dy) = x²dy + y²dx ; when x = 2, y = 0

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Q: d) Evaluate sech? (2x) e'anh(2x) dx by using a suitable substitution.

A: Given, I=∫sech22x etanh2x dx To evaluate I using suitable substitution.

Q: Se Ce cos (sin '(x)) COs (sin

A: We need to find the antiderivative of ∫ecossin-1xdv

Q: d?y What is the degree of the DE dy 3 dz 2 dx A 3 2 1/2

A: Degree: the degree of the differential equation is defined as the exponent of the highest order…

Q: 29. Evaluate I (x + y + z)dz dy dx. Jo

A: Consider the following integral:…

Q: Consider I = (2x – 1) dx with b > 0. If R21 = 2 then the value of b is: O 2 O 1 O 0.5 O 1.5

A: Given integral is, I=∫0b2x-1dx Now, integrating the given integral, I=2x22-x0bI=x2-x0bI=b2-b

Q: 5. Find (x +3)² dx, (be careful!) 5. e® + e¯ | cosh r de dx %3D

A: The complex form of integral can be converted to simple integral using integration by substitution…

Q: Find the values of a and b that make following D. E is exact ( - 4) dx + (xyo + 1) dy = 0 x2+2

A: Remark: A differential equation of the form M(x,y) dx + N(x,y) dy = 0 is exact if and only if dM/dy…

Q: Find ds/dx if= y= In[(2x^3+7) (9x-2x^2)]^5 Hint: Use the Tattoo and the Properties of Logs

A: Given y=ln2x3+79x-2x25 Using properties of ln, 1) ln an=n·ln a 2) lna·b=ln a+ln b  y=5…

Q: Evaluate the following and post your answers in (Activity 2.1) 1.dz 2. Sa dx 3. S(7y6 + 8y – 1)dy

A: 1. ∫13dz=13z+C2. ∫a3dx=a3x+C

Q: Suppose d a e R, where a > 0, a ± 1, what is (a*]? dx

A: Given,            Supose a ∈ R, where a>0, a≠1.To find : ddxax

Q: a) Determine x2+ 3 dy in the partivl fraction. id H en'ce ev aluate 4 X- 4 trigo nometric C) What is…

A: Reduction formula : ∫secn(u) du =n-2n-1∫secn-2(u) du +secn-2(u) tan(u)n-1. ∫sec(u) du =…

Q: d Suppose a E R, where a > 0, a ± 1, what is- - [a*]? dx

A: We need to find ddxaxwhere a>0,a≠1

Q: Answer the given DE below: x (dy/dx) +y=y^2

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Q: Find dy/dx for the given value of x y = tan-(In x) ; x= 1/e A. e В. е C. e D. Е. None of the above

A: To evaluate the derivative of the given function, apply the following formulas.

Q: II. Determine the order and degree of given DE d?y 1. dx2 = k[1+ dy/dx]³/2 Vdy/dx dx3 2.

A: Given Differential equation1.d2ydx2=k1+dydx32squaring on both…

Q: ? the O.D.E's below is exact (x³ + y³)dx – (3xy²)dy = 0

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Q: b) Si Va dx. (Recall that x = Vra = (V)" so could you rewrite this as a x°?)

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Q: d Suppose a e R, where a > 0, a + 1, what is [a"]? dx a" In(a) ... A ... e xa"-1 · In(a) ... ...…

A: Here we have to find d[ax]/dx .

Q: S Si dydx %3D 1-r

A: To evaluate the given double integral.

Q: Suppose a E R, where a > 0, a # 1, what is[a"]? dx a" In(a) © xa²-1

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Q: Q2: Evaluate o o" y*(x² + y²)dx dy 1 cV1-y? y² (x? + y?)dx dy

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Q: Consider I = (2x – 1) dx with b > 0. If R21 = 2 then the value of b is: O 1.5 O 2 1 0.5

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Q: 7 Let y Find values for A and B so that dy dx A where A B = || ||

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Q: d Suppose a E R, where a > 0, a + 1, what is [a*]? dx

A: We have to find derivative of ax

Q: dy -for the each of the following : dx 3. Find 1-3x (a) y = 1- sinx -X (b) y = u°+In(4u), where u =…

A: We have to solve given problem:

Q: Q /Find the next integral: E S /2m(E – æ)dx 2m(E – ºx)dx Vo a

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Q: -2 Given that dx = In|x + 1| – In|x – 1| +c ,find dx = (a) In9 (b) In4 (c)-In4 (d) -In3 (e) None

A: Given, ∫-2dxx2-1=lnx+1-lnx-1+c

Q: dy dy du and du' dx For the following find: for y = u' and u = x° + 4 dx dy du du dx dy (write…

A: Please refer to the image below

Q: determine an expression for dyl dx a)y= 2x*+ e*+ 2x² tan(x)+TT

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Q: SK S, (In y)-1 dx dy = e – 2 0.718 In² y cIn y 31.

A: We have to solve given double integral. ∫1e∫ln2ylnylny-1dxdy

Q: Show that given R: x € [0,1] ^ y € [0,2] 1133 3x²yexy dy dx = 6 R

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Q: If: y3 ax°+ bx? + bx? ca + x? ---- find the value of dy dx for a= 8, b = 6, c = 4, x = 7.23 Give…

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Q: Calculate dx and E at the points (1,649, 5) and (1,649, –5), where z is defined implicity by the…

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Q: o find d(tancsexx) dx O find ( 3 ton) X-1 2/3 O frnd dy if y = csc*J5x da ® find y if y= cot (- COSX…

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Q: e*dx by dividir a Simpson's rule i-

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Q: d Suppose a E R, where a > 0, a ± 1, what is[a*]? dx

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Q: B. (y + e*seny)dx + (x + e*cosy)dy = 0

A: First we will classify the differential equation then find the general solution using the method…

Q: Consider I = (2x – 1) dx with b > 0. If R21 = 2 then the value of b is: O 1.5 2 1 0.5

A: Use the following formula, to estimate the integral ∫abfxdx by Romberg integration method.…

Q: integrate the following:  Ue the U-substitution. ∫3/(√4x2-12x+9) dx

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Q: Evaluate: . dz dy dx x4+4 O T/24 O T148 O tan-(2)/24 O T/96

A: To evaluate ∫02∫0x3∫0y zx4 + 4 dz dy dx

Q: 8. Find for y = csc²5x dx a. 5 cot 5x b. 5 cot 5x csc 5x c. 10 cot 5x csc 5x d. 10csc25x cot 5x e.…

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Q: Consider I = (2x + 1) dx with b > 0. If R₂ = 2 then the value of b is: O 1.5 1 05 02

A: Solution :-

Q: Let @ = 7e* dx ^ dy + ae³ dx ^ dz and n = 7e*y dx + 14e* dy+ e³ dz, where a E R. Find the value of a…

A: Given: 2-form, ω=7exdx∧dy+αeydx∧dz. 1-form, η=7exydx+14exdy+eydz.  where α∈ℝ. To find: The value…