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3 years ago

Write an expression for the calculation the sum of the products of 4 and 3 and 1 and 1

Mathematics

1 answer:

katen-ka-za [31]3 years ago

8 0

Answer:

The expression is $(4)*(3)+(1)*(1)$

Step-by-step explanation:

we know that

The algebraic expression of the phrase " the sum of the products of 4 and 3 and 1 and 1" is equal to

$(4)*(3)+(1)*(1)$

$=(12)+(1)$

$=13$

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assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28

melomori [17]

Given:

x and y are both differentiable functions of t.

$4x^2+3y^3=28$

$x=-1\text{ and }\dfrac{dy}{dt}=8$

To find:

The value of $\dfrac{dx}{dt}$ .

Solution:

We have,

$4x^2+3y^3=28$ ...(i)

At x=-1,

$4(-1)^2+3y^3=28$

$4+3y^3=28$

$3y^3=28-4$

$3y^3=24$

Divide both sides by 3.

$y^3=8$

Taking cube root on both sides.

$y=2$

So, y=2 at x=-1.

Differentiate (i) with respect to t.

$4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0$

Putting x=-1, y=2 and $\dfrac{dy}{dt}=8$ , we get

$4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0$

$-8\dfrac{dx}{dt}+9(4)(8)=0$

$-8(\dfrac{dx}{dt}-9(4))=0$

Divide both sides by -8.

$\dfrac{dx}{dt}-36=0$

$\dfrac{dx}{dt}=36$

Therefore, the value of $4x^2+3y^3=28$ is 36.

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Wrote an expression gor <br> m < RST

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The expression for the angle m∠RST from the given bisctor is; 6x - 18

<h3>How to find the expression for a given angle?</h3>

From the given image in the attachment we are given that;

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Read more about Angle expression at; brainly.com/question/16953095

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