4. Use DSolve to find the solutions to the following equations. +(cosx)y=0 (²77) = -2 dy b. (6x + 1)y² + 3x² + 2y³ = 0 dx dy 1xxx+ dx a. sin x y y c. 2x + y² = 2x² d. dx = 3/² x dy dx

Q: d) sin (x)e3*+ dx dx

A: The given integral is definite integral because limits are given.  So integration value will be a…

Q: b. S dx cos2 x V9 + tan x

A: Using the substitution method and then find the given integration..... explanation of the solution…

Q: Let f ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)}  g=…

A: It is known that f-gx=f(x)-g(x) and f·gx=f(x)·g(x). The sets are provided as:…

Q: write answer as fraction -(1/2)^3

A: We know , (a/b)n = an/bn

Q: 2. Find each of the following derivatives: d 1 dx x° ,5 d x (י4x+ nא1 (3sin ,3 dx d (7) .3 dx d [tan…

A:

Q: -sin²x. fanx. co2x. tanx sinx

A: f(x) = sin2x.tanx.cos2x.tanxsinx

Q: 2. x´sin(y)dxdy

A:

Q: If the ratio of boys to girls in tennis camp is 3:5 if there are 64 campers, how many are girls 

A: We find out how many girls as follows:  • We first need to determine the total number of parts in…

Q: 7T 2 Find 35 cos(7x) dx 5π 2 7T 2 35 35 cos(7x) dx = -5π လ

A:

Q: IV. 4x + 2 dx x² + x + 5 V. 2x – 1 dx x² – 7x + 10 VI. | sin(3x) cos(5x) dr

A:

Q: 3. f cos¹ 20d0

A: We know, ∫cosnxdx=(cos(n-1)x*sinx)/n + (n-1)/n ∫cos(n-2)xdx

Q: 2. Evaluate each. (a) sin(y²) dy dr cln(2) -In(5) e2z+y dy dx (b)

A: We use change in order of part a