The limit of the function <span>( sin3x sin5x ) / x^2 as x approaches zero is evaulated by substituting the function by zero. Since the answer is zero / zero which is indeterminate. Using L'hopitals rule, we derive separately the numerator and the denominator. we all know that sin 5x and sin 3x are equal to zero. Upon teh first derivative, the answer is still zero / zero. We derive further until the function has a denominator of 2 and a numerator still equal to zero. Since the answer is now zero/ 2 or zero not zero/zero, the limit then is equal to zero.</span>

4 0

2 years ago

Prove that if b is a square matrix then b+b^t is symmetric

WARRIOR [948]

A matrix $\mathbf X$ is symmetric if $\mathbf X=\mathbf X^\top$ . We have

$(\mathbf B+\mathbf B^\top)^\top=\mathbf B^\top+(\mathbf B^\top)^\top=\mathbf B^\top+\mathbf B=\mathbf B+\mathbf B^\top$

and so $\mathbf B+\mathbf B^\top$ is indeed symmetric.

6 0

2 years ago

a computer store bought a program at a cost of $20 and sold it at a selling price$26. what is the percent markup

tekilochka [14]

it would be a 6 percent mark up :)

8 0

2 years ago

Plz help me giving brainliest

lianna [129]

Answer:

A. 80

Step-by-step explanation:

Count the first top half and you get 40 and you will know the bottom half is 40

which altogether is 80 or you can count the blocks one by one or count the blocks on the right side count the top blocks by five across.

V= l*w*h

V= 5*4*4

V= 80

Hope this Helps! :)

Have a nice day! :)

7 0

2 years ago