QUESTION 5 dy If y=5sinu and u=4e%, then the value of Y dx 4cos(5x) cos(20x) • 20cos(4eX) 20cos(5eX)

Q: y = (sin x)e¯* find de sin-1y %3D d In x

A: y=sinxe-x. Then we have to find desin-1ydlnx.

Q: cos ( bVx3 f(x) = a ln sin(cx²)

A:

Q: dy Find if y = log(In x). dx dy dx

A:

Q: Question 9 Determine the value of: xeª dx O 1/e e 2/e 1

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Q: , π/2 cos x esinx dx=?

A:

Q: A. find dy/de if 0+5 y = 8 cos 0 y = ln B. find dy/dx if C. Using the rules of logarithms, rewrite…

A: Step 1:Let z(x)=f(g(x)). Then the chain rule states: z′(x)=f′(g(x)).g′(x) (A.) It is provided…

Q: 2. Show that P(1-x)° dx= x'(1-x) dx. %3D 0/

A:

Q: Question 4 Solve the following equations using the appropriate substitutions (a) = 5y + ey. (b) rdy…

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Q: Find  dy dx implicitly. ln(xy) + 6x = 70

A: The given function is: ln(xy)+6x=70

Q: dy Find dx y = 5 In x + 2 log 5× dy (Type an exact answer.) %3D dx

A: Explanation of the answer is as follows

Q: 2. J T(x+1)((tan-1x)+9) 4. Zin10 log10 dx

A:

Q: 1/2 Evaluate I = dx correct to 3 decimal places using Romberg's method. sin x %3D

A: Here A is the sum of the first and last value  B is the sum of other values

Q: Evaluate | e'(sin(1) + e*)°dt using an appropriate substitution.

A: Given : ∫etsin1+et9dt

Q: 1. Find dy/dx which x = -1 y = 1/x arc tan 1/x  2. Find dy/dx which x = 1/e y= arc tan (ln x)

A: 1. Find dy/dx which x = -1, y = 1/x arc tan 1/x  Differentiating y with respect to x.  Since y is a…

Q: sinh(In In a)da is equal to xlnx

A: To find:∫sinhlnlnxxlnx dx

Q: Question 6 Determine the equation whose Y'=Y/3x A y= 3. B . x² = y3 1. 3x2 = y

A: We have to solve

Q: 9. dx x log 10 x e" dr 1 + e" 10. dx 11. 1 + e*

A:

Q: 4 sin(A) – cos(A) | If tan(A) = , then %3D %3D 4 sin(A) + cos(A)

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Q: 15. P = 0.0089 and P = 0.3050 (a) (b) -3 /-2 -1 z =-2.37 J2-1 1 2 -3 -2 -1 3. z =-0.51

A: The P values are 0.0089 and 0.3050.

Q: Find y' for each of the following. e2x+3y = x2 - In %3D

A: Answer and explanation is given below

Q: find dy/dx for the given value of x.

A: Finding dy/dx

Q: Question 4 k Given y == where k is a constant. A small increment Sx in x cau 8y value of in terms of…

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Q: Question 38

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Q: (a) Suppose f(x) = cos (15x) b* and f'(0) = 2. Find b. 2 The value of b is e (b) Suppose f(x) = sin…

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Q: Find d dx -(4 ln(x))

A: To find the derivative of given function

Q: Calcu late D X Cos (X) dx

A:

Q: Simplify the expression without using a calculating utility. Ans. 1. log(256/3) 1. 4 log 2 – log 3 +…

A: We need to write down the given expressions in simplified form. We will use the following rules of…

Q: Calculate L4 for f(x) = 26 cos (等) over [李,李]. L4= %3D

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.