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2 years ago

What does product mean

Mathematics

2 answers:

liubo4ka [24]2 years ago

8 0

Answer:

Product is the answer to a multiplication problem.

Step-by-step explanation:

cluponka [151]2 years ago

7 0

Answer:

product means times for e.g

Step-by-step explanation:

what is the product of 5 and 10

this means what

is 5 × 10

which equals to 50

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2 years ago

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1 year ago

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3 years ago

Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)

Dima020 [189]

Split $C$ into two component segments, $C_1$ and $C_2$ , parameterized by

$\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)$

$\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)$

respectively, with $0\le t\le1$ , where $\mathbf r_i(t)=(x(t),y(t))$ .

We have

$\mathrm d\mathbf r_1=(6,1)\,\mathrm dt$

$\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt$

where $\mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt$

so the line integral becomes

$\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)$

$=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt$

$=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6$

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2 years ago

PLEASE HELP ASAP!! WILL GIVE BRAINIEST + 30 POINTS!!

Goryan [66]

Given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

Given
Definition of rectangle.
Definition of rectangle.
By SAS Congruence Theorem.
By CPCTC.

<h3>What is a Rectangle?</h3>

A rectangle is a quadrilateral.
All four angles in a rectangle are right angles.
The opposite sides of a rectangle are parallel and congruent to each other.

Therefore, based on what we are given and the definition of a rectangle, we can establish that △URS ≅ △STU by SAS.

Since △URS ≅ △STU, therefore ∠USR = ∠SUT by CPCTC.

In conclusion, given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

Given
Definition of rectangle.
Definition of rectangle.
By SAS Congruence Theorem.
By CPCTC.

Learn more about properties of rectangle on:

brainly.com/question/2835318

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2 years ago