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Vladimir [108]
3 years ago
8

A triangle has an area equal to:

Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0
I think its D

Explanation:
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3 years ago
Evaluate the iterated integral 2 0 2 x sin(y2) dy dx. SOLUTION If we try to evaluate the integral as it stands, we are faced wit
nignag [31]

Answer:

Step-by-step explanation:

Given that:

\int^2_0 \int^2_x \ sin (y^2) \ dy dx \\ \\ \text{Using backward equation; we have:} \\ \\  \int^2_0\int^2_0 sin(y^2) \ dy \ dx = \int \int_o \ sin(y^2) \ dA \\ \\  where; \\ \\  D= \Big\{ (x,y) | }0 \le x \le 2, x \le y \le 2 \Big\}

\text{Sketching this region; the alternative description of D is:} \\ D= \Big\{ (x,y) | }0 \le y \le 2, 0 \le x \le y \Big\}

\text{Now, above equation gives room for double integral  in  reverse order;}

\int^2_0 \int^2_0 \ sin (y^2) dy dx = \int \int _o \ sin (y^2) \ dA  \\ \\ = \int^2_o \int^y_o \ sin (y^2) \ dx \ dy \\ \\ = \int^2_o \Big [x sin (y^2) \Big] ^{x=y}_{x=o} \ dy  \\ \\=  \int^2_0 ( y -0) \ sin (y^2) \ dy  \\ \\ = \int^2_0 y \ sin (y^2) \ dy  \\ \\  y^2 = U \\ \\  2y \ dy = du  \\ \\ = \dfrac{1}{2} \int ^2 _ 0 \ sin (U) \ du  \\ \\ = - \dfrac{1}{2} \Big [cos  \ U \Big]^2_o \\ \\ =  - \dfrac{1}{2} \Big [cos  \ (y^2)  \Big]^2_o  \\ \\ =  - \dfrac{1}{2} cos  (4) + \dfrac{1}{2} cos (0) \\ \\

=  - \dfrac{1}{2} cos  (4) + \dfrac{1}{2} (1) \\ \\  = \dfrac{1}{2}\Big [1- cos (4) \Big] \\ \\  = \mathbf{0.82682}

5 0
3 years ago
Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3.
Anon25 [30]
The first step in solving for f(g(x)) when x=3, is solve for g(x). The answer of g(x) when x is equal to 3 is -(5) multiplied by 3 add by 2. Therefore, g(x) is -13. Then substitute the value of g(x) to f(x). The answer of f(-13) is 2 multiplied by -13, then add 1. So, the final answer is, f(x)=-25.
3 0
3 years ago
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X and y vary inversely and x=50 when y=5 find y when x=10. what is k?
kenny6666 [7]
Y=1
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5 0
3 years ago
Units of Capacity
marysya [2.9K]

Answer:

            \large\boxed{\large\boxed{0.2deciliter}}

Explanation:

Build your conversion factors using the conversion table:

  • 1 cup = 0.237 liters\implies 1=0.237liters/1cup

From the prefixes used in the metric system, you know that 1 deciliter = 0.100 liters. Then:

  • 1 deciliter = 0.100 liters\implies 1=1deciliter/0.100liters

Arrange the expression to simplify the units and convert from cups to deciliters:

  • 9cups\times 0.237liters/cup\times 1deciliter/0.100liters=0.2133deciliter

Round to the nearest tenth: 0.2 deciliter.

4 0
3 years ago
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