The least common denominator of 4/8 and 11/18

Use part 1 of the fundamental theorem of calculus to find the derivative of the function. g(x) = x t3 t5 dt 0

salantis [7]

Using the fundamental theorem of calculas the derivative of function g(x)= $xt^{3}+t^{5}$ at x=0 is $t^{3}$ .

Given a function g(x)= $xt^{3}+t^{5}$ .

We are required to find the derivative of the function g(x) at x=0.

Function is relationship between two or more variables expressed in equal to form. The values entered in a function are part of domain and the values which we get from the function after entering of values are part of codomain of function. Differentiation is the sensitivity to change of the function value with respect to a change in its variables.

g(x)= $xt^{3}+t^{5}$

Differentiating with respect to x.

d g(x)/dx= $t^{3}$ +0 [Differentiation of x is 1 and differentiation of constant is 0]

= $t^{3}$

Hence using the fundamental theorem of calculas the derivative of function g(x)= $xt^{3}+t^{5}$ at x=0 is $t^{3}$ .

The function given in the question is incomplete. The right function will be g(x)= $xt^{3}+t^{5}$ .

Learn more about differentiation at brainly.com/question/954654

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1 year ago

Write 26 as repeated multiplication?<br>

Harlamova29_29 [7]

Answer:

This is your answer

Table of 26 gives the repeated addition of number 26, repeated for a certain number of times. For example, 4 baskets of 26 apples each, gives the sum of 26 + 26 + 26 + 26 = 104.

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3 years ago

Please help I don’t understand number 16

Allisa [31]

Let's go step by step:

a) You are given four couples of x and y values which model the relationship between the number of drinks and their cost. So, the couple $(x,y)=(0,0)$ means that if you buy zero drinks, you spend no money. That makes sense. The next information we have is $(x,y) = (2,3)$ , which means that two drinks cost 3 dollars, and so on.

So, you simply need to draw on the grid the four points

$(0,0),\ (2,3),\ (4,6),\ (6,9)$

b) The domain is the set of inputs. Since we only know the value of the function on four different points (we know the price for 0,2,4 and 6 drinks), the domain is discrete. In fact, a continuous domain must contain an interval (for example, $[1,2]$ is a continuous domain), whereas if you pick a certain number of points (like in this case: we picked 0,2,4 and 6), the domain is discrete.

c) Once the points are drawn on the grid, you can see that they all lie on the same line. To find that line, we will only need two of those points (once two points are fixed, there is only one line passing through them). In general, the equation of the line passing through $P = (P_x,P_y)$ and $Q = (Q_x,Q_y)$ is

$\cfrac{x-P_x}{Q_x-P_x} = \cfrac{y-P_y}{Q_y-P_y}$

Let's choose, for example, the first two points. The equation is

$\cfrac{x-0}{2-0} = \cfrac{y-0}{3-0} \iff \cfrac{x}{2} = \cfrac{y}{3} \iff y=\cfrac{3}{2}x$

d) Now that we know the equation of the line, we can compute the cost of any number of drinks: the equation of the line is a function that associates a cost, y, with every possible number of drinks, x.

Of course, some associations will be odd - we can compute the cost of $\sqrt{2}$ drink, but what would it mean?

Anyway, the question about the cost of two drinks seems more than reasonable, so let's see which y value is associate with the particular x value of 2:

$y = \cfrac{3}{2} x \implies y = \cfrac{3}{2}\cdot 2 = 3$