Implicit expression refers to equation that are not strictly expressed in terms of y and x separately. In this case, the derivative of expression
<span>sqrt(xy)=x^2y+1 is

sqrt x * 0.5 y ^-0.5 dy + </span>sqrt y<span> * 0.5 x ^-0.5 dx= x^2 dy + 2xy dx
dy (x^2 - 0.5 (</span>x/y) ^0.5) = dx (2xy - 0.5 (y<span>/x)^0.5)
dy/dx = </span>(2xy - 0.5 (y/x)^0.5) / (x^2 - 0.5 (<span>x/y) ^0.5)</span>

3 0

3 years ago

Solve for x 14 x square+7x-6

irina [24]

Answer:

x=0.450765 or x=−0.950765

Step-by-step explanation:

14x² + 7x - 6

→ Find the product, sum and factors

Product = -6

Sum = 7

Factors = No factors

→ Since there are no factors utilise the quadratic formula

$\frac{-b+-\sqrt{b^{2}-4ac } }{2a}$

→ List the values of a, b and c

a = 14

b = 7

c= -6

→ Substitute into the formula

$\frac{-7+-\sqrt{7^{2}-4*14*-6} }{2*14}$

→ Simplify

x=0.450765 or x=−0.950765

8 0

4 years ago

Read 2 more answers

Morton needs to have his car repaired. The auto repair shop charges a fixed dollar amount for labor, plus another dollar amount

Mrrafil [7]

The y-intercept of the function is $50 and it represents the fixed amount for the labor charges.

<h3>How to find the y-intercept of a graph?</h3>

From the attached graph, we see that the x-axis is represented by time in hours while the y-axis is represented by labor charges in dollars.

Now, from the graph we see that the coordinates are;

(0, 50), (1, 125), (2, 200), (3, 275), (4, 350)

Now, the y-intercept of a linear graph is simply the point at which the graph crosses the y-axis.

In this graph attached, we see that the y-intercept is at the coordinate (0, (0, 50).

Thus, we conclude that the y-intercept of the function is $50 and it represents the fixed amount for the labour charges.

Read more about y-intercept at; brainly.com/question/26509774

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4 0

2 years ago