2, (b) Prove that, for m - 1 Im-2 m Im= m 2,3,4,5. (c) Use (a) and (b) to compute Im for m = sin2 mx dx for m an arbitrary integer. 70. Evaluate 71. Evaluate sin x In(sin x) dx. Hint: Use Integration by Parts step. 72. Total Energy A 100-watt (W) light bulb has resist 144 ohms (2) when attached to household current, where t varies as V Vo sin(277 ft) (Vo joules) expended by the bulb over a period of T seconds is 110 V, f 60 Hz). The T U = Jo PO)dt where P = V2/R (J/s) is the power. Compute U if the bulb le 5 hours. tn. Use Eqs. (15)-11) 73. Let m,n be integers with m t

Q: Solve. m =n/2-n  for n

A:

Q: Rearrange this equation to solve for n.

A: Given that: Square on either end to eliminate square root.

Q: (d) Solve you х

A: d) From Part (a), it is known that the least square equation for the pairs (x,y) is: The value for…

Q: Solve y2 + 25 = 8y

A: To solve the provided equation y2+25=8y for the value y. Now, use the quadratic formula to find the…

Q: 1. Solve : 5(3**2) = 125

A:

Q: Solve for x. 10x-5 63 8 20

A: To solve for x

Q: solve for x, x+96=90

A: In the given diagram, we see that the measure of the indicated angle ( ) is .

Q: 10. Solve: 71+(-81)+35-(-18)-10 = %3D

A: Apply the BODMAS rule to simplify the given expression: 71 +(-81)+35-(-18)-10

Q: solve the equtions 31

A: Givent3y'=2ywhere y(1)=1and t>0

Q: Solve 6/x + 9 – 3 = - 1 for x

A: 6x+9-3=-1To solve for x

Q: Solve for æ. 8 2 66

A: Solve for x.

Q: Solve for x. 4(x + 4) - 26 = x+8

A: The given equation is: 4x+4-26=x+8   As we know from the distributive law: ab+c=ab+ac

Q: Solve for N 3n + 8= 20

A: Given, Solve for n 3n +8 = 20

Q: 5 = 4+ x +4 3 Solve for x:- x-2

A: Explanation of the solution is given below...

Q: Solve for x: A. 14.

A: Since AB is median so B is mid point  That means  2(4x+12)=112

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.