Provide an appropriate response.Rewrite tan x and use the product rule to verify the derivative formula for tan x.

What will be an ideal response?


tan x =  = sin x sec x
 (tan x) =  (sin x sec x) = sin x sec x tan x + sec x cos x =  ? tan x + 1 =  = sec2 x

Mathematics

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The amount A, in grams, of one radioactive substance remaining after t years is given by .

The amount B, in grams, of a second radioactive substance remaining after t years is given by .
When will the amounts remaining of each be the same? Round your answer to two decimal places if necessary.
?

A. After 3.01 years
B. After 14.14 years
C. After 0.46 years
D. After 15.23 years

Mathematics

State the y-intercept and slope of the graph of the given equation.y = 11x - 2

A. y-intercept 2; slope 11 B. y-intercept 11; slope 2 C. y-intercept 2; slope -11 D. y-intercept -2; slope 11

Mathematics

Find the derivative of the function.y = log3 (6x)

A.
B.
C.
D.

Mathematics

Write the augmented matrix for the system. 2x + 6y + 2z =  18 7x - 2y + 6z =  82 8x + 9y + 6z =  79

A.

B.

C.

D.

Mathematics