3. J - dx =? (x² + 1) (x + 2)

Q: 7. Find the dy/dx of * y = In sin 5x

A:

Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

Q: Find the implicit deriviate (dy/dx) of (2x+3y)1/3=x2

A:

Q: What is dy/dx of 1/2e^2x

A:

Q: х2+1 dy 4) хеУ dy- *dx 5) х?у 3 (1 + х)Csc y y dx 6) хеУ dy + (*+1) dx =0 y

A:

Q: d sinh x) = cosh x dx

A: By using hyperbolic functions definition, sinhx =ex-e-x2   and coshx =ex+e-x2

Q: Q3) Find dy/dx if 1- y= In x 2- y=x sinx+1-x

A:

Q: Find dy/dx by implicit differentiation. 52) x3 + y3 = 5

A: Given implicit function : x3+y3=5

Q: Find dy/dx at x=0 if y= Cosu and y--3x

A:

Q: dy by implicit differentiation if dx 3 9. = 1. Find - -

A: The given function is 3y+9x=1

Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

A:

Q: 5y + sin y = x²

A:

Q: (2x-2) dx sinx dx 2. 3. √xdx 4. J² (²2x²+4x-2) dx 5. So (cosx+tanx)dx 1/1/4 6. Jo ¹/2_dx =dx √1-x²

A: Solve by integration

Q: find dy / dx if y2 - x2 - sin xy = 0.

A:

Q: Q3. Evaluate : IL (2) * dy dx

A:

Q: Find dy/dx at the point (2,1) if 4y3-x2y2=0

A: Given that: 4y3-x2y2=0

Q: 2e*/y dy dx 2.

A:

Q: Compute dy/dx for the function. 2. y sinh - 6x

A:

Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: Find dy/dx by implicit differentiation 7ysin(x2)=9xsin(y2)

A: Find dy/dx for the implicit function

Q: /4 - x2 the integral | dx, becomes

A: Given the integrationI=∫4−x2x2dx

Q: 4. FIND d²y BY IMPLICIT DIFFERENTIATION: x² + y² = 81 %3D dx2

A: Given: x2+y2=81

Q: Q2 Integrate by parts: ex sin x dx

A: find ∫exsinxdx we know, ∫u.vdx=u∫vdx-∫dudx∫vdx now, apply this on equation I=∫exsinxdx…

Q: √2xy dy/dx =1, given y=1 when x=1

A:

Q: 1. f In(x+2) dx 2x+4 2. fx² ex dx 3. f tan³x dx 12

A: We know that integration of xn is xn+1 /n+1. And integration of 1/x is lnx +c.   Here i attached the…

Q: 30. 5e dx 31. Зи du - 1 33. x² dx 35. (x+5)* 37. xp (3 In z + 2)4 39, -dz

A: We will solve the integration.

Q: To use differentials to approximate V9. You would use x = and dx

A: Solis as follows

Q: If tan2(2y) – S cost dt = 4 - x² %3D dx

A:

Q: Find dy/dx by implicit differentiation. 8x3 + 9y3 = 66 dy/dx =

A:

Q: Use Leibniz's rule to find dy dx dy dx for y= 8x-1 √ (t4-5) dt.

A: Concept: Newton Leibniz Theorem : Newton Leibniz A formula for differentiating a definite integral…

Q: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

A: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

Q: Find dy/dx of sin(x + y) = xy^2 − 2x^3

A: Differentiating using chain rule of differentiation

Q: 5. Solve dy dy + y = 2sin(3x) dx - dx? using the method of undetermined coefficient.

A:

Q: Find dy/dx if 5x1/2 + 6y1/2 =15. dy/dx=?

A: We have to find dydx for 5x12+6y12=15.

Q: -32e* – 140 -dx J e2x +9e* + 20

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: 5 dy of: y = |x sin 2 + tan (x") dx 4

A: Given function is y=xsin2x+tan4x75 We have to find dydx. Here, we have to use some rule of…

Q: In integrating the function fx cos(3x) dx using integration by parts, what would you choose for your…

A: Let ,I=∫ xcos3xdxSubstitute  u=3xdifferentiate du=3dx⇒du3=dxI=∫ u3cosudu3I=∫ucosu9duTake the…

Q: Find dy/dx by implicit differentiation. 4x° + 9y3 - 62 dy/dx =

A: We use Implicit differentiation

Q: Differentiate the following function.   y=ln(x+1)+ln7 dy/dx=?

A:

Q: In integrating the function fx In 5x dx using integration by parts, what would be your v?

A:

Q: dy Exc:" of y = tanh (x5 – 5x)² --

A: Solution:Given         y=tanh4(x5-5x)2  To find dydxFormula:ddx(xn)=nxn-1ddx(tanh x)=sech2x

Q: Find dy/dx of x siny + y = 4x + 3

A:

Q: Evaluate dy/dx at x=2 and y=3  if   x4 +  y4 =16.

A:

Q: 2) Integrate: S(29sinx + 6e + 5 cos x + Vx)dx

A: Given that, The integral ∫29 sinx +6ex +5 cosx+x5 dx By using ∫f(x)+g(x)dx =∫f(x) dx +∫g(x) dx ∫ 29…

Q: Find dy/dx by implicit differentiation. 72 – 5y² = 4 dy/dx =|

A:

Q: Compute both dy/dx and d^2y/dx^2 if x^3 + y^3 = x.

A:

Q: Find dy/dx of sin^2(3y)=x+y at (2 - pi)/4 , pi/4

A:

Q: 12. Differentiate.   y=4/2−7x dy/dx=nothing   Enter your answer in the answer box.

A:

Q: | (In x)2 dx Use integration by parts.

A:

Q: The second derivative d^2y/dx^2 of y^3 = xy + 1 at the point (0,1) is

A:

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.