7. Suppose a joint pdf is given by f (x, y) = cæy for 0 < ¤ < 1, 0 < y < 1. %3D a. Find the value of c that makes this a valid pdf. C = P(x

Q: Evaluate 3 | ((2 – 1)32, (3 + t)2, 1)dx. 3/2 3/2 -3

A:

Q: pemplicit derivativeg 3 find y' if y is a function of x .

A: topic - implicit differentiation

Q: Differentiate. y= In [(x + 4)(5x– 6)(3 – x)] d dy In ((x+ 4)(5x – 6)(3–x))) = |

A: Given: To find: The derivative of the given function.

Q: -3 2. S x*Vx Vx²-9

A: Integration is the process of finding the anti-derivative function of the given function. The…

Q: Evaluate. x/x-4 dx=

A: Let us consider the given expression of integral as: I=∫ xx-4 dx After subtracting and adding 4 in…

Q: S5x sec?x dx 5.

A:

Q: Find √√3 x² +3 x² +1 dx

A:

Q: 1 = S V1- xV3+ x dx %3D

A: Use integration by part

Q: 1 x² +5 -dx 3√x

A: We need to find ∫x12+5x3dx

Q: 8. ²2(2x + 1) dx

A:

Q: Find / 5x dx

A: ∫Axndx =A(xn+1n+1)+C, where C is integration constant.

Q: Suppose X has PDF fX (x) = 4x(1 − x^2) for 0 &lt; x &lt; 1 (0 everywhere else). Find all mediansand…

A: Step 1:(a) Finding all medians of X:The median m of a continuous random variable X is the value that…

Q: dx 8. %3D

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.