Consider the following differential equation. (sin(y) – y sin(x)) dx + (cos(x) + x cos(y) - y) dy = 0 Let M = sin(y) – y sin(x) and N = cos(x) + x cos(y) – y. Find the following partial derivatives. My = cos y – sin(x) Nx = -sin (x) + cos(y) = sin(y) – y sin(x). Integrate each term of this partial derivative with respect to x, letting h(y) be an unknown function in y. f(x, y) = x sin(y) + y cos(x) + hy) Find the derivative of h(y). h'(Y) = -cos(y) – cos(x) Is the given differential equation exact?
yes
no
Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.)

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.

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step-by-step explanation: