We are given the function
F(x) = 9 sinx + cot x

We need to take the first derivative of the given function so,
F' (x) = 9 cos x - csc² x

Next, we equate the first derivative of the function to 0 and solve for the values of x
0 = 9 cos x - csc² x
Solving for x
x = 2.04

Picking out an arbitrary value between 2.04 and π, say 3 and substituting in F(x)
F(3) = 9 sin 3 + cot 3 = 19.55

Therefore, the interval where the function is increasing is from 2.04 to π
Consequently, the interval where the function is decreasing is from -π to 2.04<span />

4 0

4 years ago

bought a soccer ball for 19.95 and bought a pair of sneakers that cost three times the as much as the ball she had 7.80 left how

lilavasa [31]

Answer:$87.69

Step-by-step explanation:

8 0

3 years ago

Find a • b. a = 5i + 7j, b = -4i + 3j

anygoal [31]

Answer:

$a \cdot b = 1$

Step-by-step explanation:

$a = 5i + 7j$

$b = -4i + 3j$

$a = a_xi + a_yj$

$b = b_xi + b_yj$

$a \cdot b = a_xb_x + a_yb_y$

$a \cdot b = (5)(-4) + (7)(3)$

$a \cdot b = -20 + 21$

$a \cdot b = 1$

4 0

3 years ago

Read 2 more answers

A calculus student takes a 20-question, multiple choice test with 5 answer choices for each question. find the mean and standard

mario62 [17]

Suppose the student guesses the answers, we shall consider this a binomial probability problem of success. This implies that getting a question right is p=1/5.
The number of questions is n=20 questions.
The mean of binomial distribution is
mean=n*p= 20*1/5=4

b] The standard deviation of a binomial distribution is given by:
σ=√(n*p*(1-p))
=√(20*0.2*0.8)
=1.79~1.8

Answer:
μ=4 ; σ=1.8

4 0

4 years ago