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  3. 1. which of the following is the linear approximat

1. Which of the following is the linear approximation of the function f ( x )...

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Basic Math

1. Which of the following is the linear approximation ofthe function f ( x ) = 2e^sin (7x) at x = 0?

Group of answer choices

y=cos⁡(7)x+2

y=7x+2

y=14x+2

y=2x+7

y=e^7x+14

2. Recall that Rolle's Theorem begins, ``If f ( x ) iscontinuous on an interval [ a , b ] and differentiable on (a , b)and ___________, then there exists a number c …'' Find all values x= c that satisfy the conclusion of Rolle's Theorem for the functionh ( x ) = x^3 − 7x − 9 on the interval [ − 2 , − 1 ].

3. At x = 1, the function g( x ) = 5x ln(x) −3/x

is . . .

Group of answer choices

has a critical point and is concave up

decreasing and concave up

decreasing and concave down

increasing and concave up

increasing and concave down

4.If x and y are two real numbers such that 8x − y = 48,what is the smallest possible value of their productxy?

Group of answer choices

12

−72

0

−24

−144

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