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: FIND THE POLINATIVE. fo = sinx/secx t x² %3D

A: Note:- Here i think problem is Type 1 f(x) = sin(x)/sec(x) +x2  Or  Type 2 f(x) =sin(x) /(sec(x)…

Q: Use one of the formulas in the equation A = fexdy = fc-y dx = 1/2 fex dy - y dx to calculate the…

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Q: f(In x)2 dx O-r(Inz)² - zlnz+z+C -z(lnx)² + zlnz+ 2z+C O-r(Inz)² - zlnz+z O None of the choices…

A: The objective is to integrate the given function Use integration by parts, which states that…

Q: x2 Evaluate : p.v J_∞ (x2+3)² dx

A: The integrals can be solved using the indefinite integrals. The limits for the infinite values can…

Q: Evaluate. Assume u > 0 when In u appears. fx²¹x¹² dx. ote √x¹¹ ex¹² dx = 0 (Type an exact answer.)

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Q: Evaluate. (Be sure to check by differentiating!) √3+4x² 8 + 4x dx, x# - 2

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Q: Integrate the following expression. 3 5 2 3x dx

A: The given integral is ∫x3+253x2dx ∫x3+253x2dx=3∫x3+25x2dx=3∫x3+25x2dx substitute u=x3+2…

Q: (ex – 1)² | dx 3ex

A: We have to evaluate the integral

Q: find the geeral aluten for d'y dy du Ay= eax (1+u*) du2

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Q: find dr>du.…

A: Givenr=4-u2sinuTo finddrdu

Q: Q3 Evaluate fII, xyz dxdydz, 3 < x < -2,0 < y < 1,0 < z S.

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Q: Evaluate. [5x-31 X dx

A: To evaluate the integration of (5x-3)/(x^2-x)

Q: Evaluate | 3xy dy dx. Write your answer as a number in decimal form.

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Q: Evaluate f Vr+ V?dx Oa. 3 am +2) +C (V2) +C can) Ob. 2 am +2) +C 30 om +C (25) Oc 2 an +m) +C O d. 5

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Q: Which of the following is equivalent to (-2x+2)dx? 02.4 O 0.5(10+6) O-2.-4 O 0.5(10+6)⚫2

A: Step 1: Calculation with explanation  Step 2: Calculation with explanation

Q: dz Let z = a? + y, x = 2st, y = s- t, s = u", and t= u sin w. Compute for and du %3D

A: We have that z=x2+y3x=2sty=s-t2s=uwt=usinw We will find ∂z∂w and ∂y∂u

Q: 3) Copy and complete the following table. g(x) f(x) (fo g) (x) |x| а. b. ? x - 1 x + 1 с. ? d. Va…

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Q: Let a=-1, b=1 and c=-1. The quantity -ac ae* + be¬x can be written in the form witanh(x))z for…

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Q: .5 S Ix – 2| dz

A: The given integral is ∫05x-2 dx. The function is given , x-2 can be written as, -x-2 , x≤2x-2, x≥2.…

Q: Write (2y · 2y · 2y) + 6 using exponents. 1. 4y° + 6 2. 3(2y)3 + 6 3. None of these 4. 4y? + 6 5.…

A: The exponent form for 2y.2y.2y will be (2y)3

Q: 5. Simplify the following expression: a-°y!4z7 (æyz)* yll -9,,14 xy222 -8 y8 29 7,7 x'y z11 O…

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Q: dx 19. S 16+9x² A. tan- () + B습tan-' () + ccot- () + c -1 В. + C 16 16

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Q: Solve the non-linear Differential Equation y"=-e xy = f(x) by explicitly following these steps:…

A: Use the following formulae, to obtain the solution.

Q: S. For x #9, X- 3)* -? (x-3) - ? x²-9 A A -1 - 3 1 C T-3 z+3 T-3 I+3 DE

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Q: Differentiate te R

A: The given function is fx=x+x.

Q: Evaluate f5ear² – 2 dx

A: In this question we have to find the integration.

Q: Simplify this expression. а. 3D - (D - d) b. i– (2 – 3i2) + iz 4 B+a+ 2B 3 - 2 4 B 3 - С. | 3

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Q: dx xV 8x + 9

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Q: dx Evaluate 2x – 10 (A B D

A: We have to solve the following integral, ∫15dx2x-10