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3 years ago

gọi (c) là đồ thị hàm số y = x ^ 4 + x tiếp tuyến. tiếp tuyến (C) vuông góc với đường thẳng d: x+ 5y =0 có phương trình là

Mathematics

1 answer:

GenaCL600 [577]3 years ago

6 0

Answer:

l,l,l,

Step-by-step explanation:

n nn

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Based on the graph, what is the initial value of the linear relationship?

Fofino [41]

The initial value of the linear relationship is 5.

Solution:

The y-intercept is the point where the line crosses at y-axis.
The initial value of the linear function is the y-intercept.

On observing the graph, the line crosses y-axis at the point (0, 5).

So, y-intercept = 5

That is initial value = 5

Therefore the initial value of the linear relationship is 5.

4 0

3 years ago

A function f defined by f(x) = x² + px + q is such that f(3) = 6 and f¹(3) = 0. Find the value of q.

CaHeK987 [17]

Answer:

q = 15

Step-by-step explanation:

Given

f(x) = x² + px + q , then

f(3) = 3² + 3p + q = 6 , that is

9 + 3p + q = 6 ( subtract 9 from both sides )

3p + q = - 3 → (1)

---------------------------------------

f'(x) = 2x + p , then

f'(3) = 2(3) + p = 0, that is

6 + p = 0 ( subtract 6 from both sides )

p = - 6

Substitute p = - 6 into (1)

3(- 6) + q = - 3

- 18 + q = - 3 ( add 18 to both sides )

q = 15

5 0

3 years ago

What is 30/40 converted into a percent

juin [17]

75%

30/40 means its 75% out of 100%

75$ representing the 30 and the 100$ representing the 40

7 0

3 years ago

Read 2 more answers

1. (a). A police car, approaching right-angled intersection from the north, is chasing a speedmg

tamaranim1 [39]

Answer:

<em>The SUV is running at 70 km/h</em>

Step-by-step explanation:

<u>Speed As Rate Of Change </u>

The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.

This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

$d=\sqrt{x^2+y^2}$

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

$\displaystyle d\ '=\frac{x.x'+y.y'}{\sqrt{x^2+y^2}}$