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4 years ago

Find F'(x) for F(x) = [x^3,1] integral cos(t^4)dt

1 answer:

4 0

The upper limit is constant, so the derivative of the integral evaluated there is 0. The derivative of the integral evaluated at the lower limit is the product of the integrand evaluated at the lower limit and the derivative of the lower limit.
F'(x) = 0 -cos((x^3)^4)·3x^2
Simplifying, ...
F'(x) = -3x^2·cos(x^12)

The appropriate choice is ...
B. -3x^2cos(x^12)

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The sum of two numbers is 55. The larger number is 17 more than the other number. What is the value of the larger number? (Let t

Elis [28]

X+y=55
Y= X+17

X+ X+17=55
2x+17=55
Subtract 17
2x= 38
Divide by 2
X=19
Larger number 19+17=36
36

6 0

3 years ago

HELP 6TH GRADE MATH<br> Enter the phrase as an algebraic expression. The product of 54 and c

Nutka1998 [239]

Answer:

54c

Step-by-step explanation:

The word "product" means that the operation is multiplication. So the two numbers need to be multiplied. In algebra, the way you multiply a constant and a variable is simply by putting the two next to each other with no other symbol.

5 0

3 years ago

Read 2 more answers

write an equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4)

dimaraw [331]

The equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4) is $y - 3 = \frac{-7x}{2}+ \frac{21}{4}$

<h3><u>Solution:</u></h3>

Given that we have to write equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4)

Let us first find the slope of given line AB

<em><u>The slope "m" of the line is given as:</u></em>

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Here the given points are A(-2,2) and B(5,4)

$\text {Here } x_{1}=-2 ; y_{1}=2 ; x_{2}=5 ; y_{2}=4$

$m=\frac{4-2}{5-(-2)}=\frac{2}{7}$

Thus the slope of line with given points is $\frac{2}{7}$

We know that product of slopes of given line and slope of line perpendicular to given line is always -1

$\begin{array}{l}{\text {slope of given line } \times \text { slope of perpendicular bisector }=-1} \\\\ {\frac{2}{7} \times \text { slope of perpendicular bisector }=-1} \\ \\{\text {slope of perpendicular bisector }=\frac{-7}{2}}\end{array}$

The perpendicular bisector will run through the midpoint of the given points

So let us find the midpoint of A(-2,2) and B(5,4)

<em><u>The midpoint formula for given two points is given as:</u></em>

$\text {For two points }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right), \text { midpoint } \mathrm{m}(x, y) \text { is given as }$

$m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Substituting the given points A(-2,2) and B(5,4)

$m(x, y)=\left(\frac{-2+5}{2}, \frac{2+4}{2}\right)=\left(\frac{3}{2}, 3\right)$

Now let us find the equation of perpendicular bisector in point slope form

The perpendicular bisector passes through points (3/2, 3) and slope -7/2

<em><u>The point slope form is given as:</u></em>

$y - y_1 = m(x - x_1)$

$\text { Substitute } \mathrm{m}=\frac{-7}{2} \text { and }\left(x_{1}, y_{1}\right)=\left(\frac{3}{2}, 3\right)$

$y - 3 = \frac{-7}{2}(x - \frac{3}{2})\\\\y - 3 = \frac{-7x}{2}+ \frac{21}{4}$

Thus the equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4) is found out

7 0

4 years ago

At the local video rental store,

Naily [24]

4 dollars and seventy six cents will be the total

7 0

3 years ago

Fill in the table using this function rule. Y=-5x-1

Vaselesa [24]

The function rule for the equation y = -5x - 1 is

(x,y) ⇒ (0,-1) , (-1,4) , (3,-16)

<h3>What is dependent variable and independent variable ?</h3>

In a mathematical equation independent variable is set by us to examine the give equation or function how it is behaving or it's value for a specific value being set by us.We can also think of independent variable as the input to a function and dependent variable as the output.

According to the given question

y = -5x -1 the table is illustrated below

x -2 -1 0 1 2 3

y 9 4 -1 -6 -11 -16

learn more about equations here :

brainly.com/question/14965473

#SPJ1

6 0

1 year ago