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Vladimir79 [104]

2 years ago

6

Find the indefinite integral by making a change of variables. (hint: let u be the denominator of the integrand. remember to use

absolute values where appropriate. use c for the constant of integration.) 1 9 2x dx

1 answer:

andrey2020 [161]2 years ago

4 0

The value of the indefinite integral is

Given:- The integration of is given whose lower limit is and upper limit is .

To Find:- We have to find the value of the integration of is given whose lower limit is and upper limit is .

By using the concept of indefinite integral it will be solved.

According to the problem,

Therefore, the value of the indefinite integral is .

#SPJ4

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The dimensions of a closed rectangular box are measured as 90 centimeters, 50centimeters, and 90 centimeters, respectively, with

gogolik [260]

Answer:

184 cm²

Step-by-step explanation:

Surface area of the rectangular box is expressed as S = 2(LW+LH+WH)

L is the length of the box = 90 cm

W is the width of the box = 50 cm

H is the height of the box= 90 cm

If there are error of at most 0.2 cm in each measurement, then the total surface area using differential estimate will be expressed as shown;

S = 2{(LdW+WdL) + (LdH+HdL) + (WdH+HdW)

Note that dL = dW = dH = 0.2 cm

Substituting the given values into the formula to estimate the maximum error in calculating the surface area of the box

S = 2{(90(0.2)+50(0.2)) + (90(0.2)+90(0.2)) + (50(0.2)+90(0.2))

S = 2{18+10+18+18+10+18}

S = 2(92)

S = 184 cm²

Hence, the maximum error in calculating the surface area of the box is 184cm²

5 0

3 years ago

What is the measure of angle BAC ?

Eva8 [605]

An inscribed angle (BAC) is one half the angle of a central angle (BOC) that intercepts the same arc. Therefore, BAC = 34 degrees.

3 0

4 years ago

Read 2 more answers

Solve the inequality for x. show each step of the solution -12x-0.4>0.2(36.5x+80)-55

Darina [25.2K]

Let's solve your inequality step-by-step.

−12x−0.4>0.2(36.5x+80)−55

Step 1: Simplify both sides of the inequality.

−12x−0.4>7.3x−39

Step 2: Subtract 7.3x from both sides.

−12x−0.4−7.3x>7.3x−39−7.3x

−19.3x−0.4>−39

Step 3: Add 0.4 to both sides.

−19.3x−0.4+0.4>−39+0.4

−19.3x>−38.6

Step 4: Divide both sides by -19.3.

−19.3x

−19.3

>

−38.6

−19.3

x<2

Answer:

x<2

8 0

4 years ago

The point P(7, −2) lies on the curve y = 2/(6 − x). (a) If Q is the point (x, 2/(6 − x)), use your calculator to find the slope

NARA [144]

Answer:

a) (i) $m = 2.22$ , (ii) $m = 2$ , (iii) $m = 2$ , (iv) $m = 2$ , (v) $m = 1.82$ , (vi) $m = 2$ , (vii) $m = 2$ , (viii) $m = 2$ ; b) $m \approx 2$ ; c) The equation of the tangent line to curve at P (7, -2) is $y = 2\cdot x + 12$ .

Step-by-step explanation:

a) The slope of the secant line PQ is represented by the following definition of slope:

$m = \frac{\Delta y}{\Delta x} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}$

(i) $x_{Q} = 6.9$ :

$y_{Q} =\frac{2}{6-6.9}$

$y_{Q} = -2.222$

$m = \frac{-2.222 + 2}{6.9-7}$

$m = 2.22$

(ii) $x_{Q} = 6.99$

$y_{Q} =\frac{2}{6-6.99}$

$y_{Q} = -2.020$

$m = \frac{-2.020 + 2}{6.99-7}$

$m = 2$

(iii) $x_{Q} = 6.999$

$y_{Q} =\frac{2}{6-6.999}$

$y_{Q} = -2.002$

$m = \frac{-2.002 + 2}{6.999-7}$

$m = 2$

(iv) $x_{Q} = 6.9999$

$y_{Q} =\frac{2}{6-6.9999}$

$y_{Q} = -2.0002$

$m = \frac{-2.0002 + 2}{6.9999-7}$

$m = 2$

(v) $x_{Q} = 7.1$

$y_{Q} =\frac{2}{6-7.1}$

$y_{Q} = -1.818$

$m = \frac{-1.818 + 2}{7.1-7}$

$m = 1.82$

(vi) $x_{Q} = 7.01$

$y_{Q} =\frac{2}{6-7.01}$

$y_{Q} = -1.980$

$m = \frac{-1.980 + 2}{7.01-7}$

$m = 2$

(vii) $x_{Q} = 7.001$

$y_{Q} =\frac{2}{6-7.001}$

$y_{Q} = -1.998$

$m = \frac{-1.998 + 2}{7.001-7}$

$m = 2$

(viii) $x_{Q} = 7.0001$

$y_{Q} =\frac{2}{6-7.0001}$

$y_{Q} = -1.9998$

$m = \frac{-1.9998 + 2}{7.0001-7}$

$m = 2$

b) The slope at P (7,-2) can be estimated by using the following average:

$m \approx \frac{f(6.9999)+f(7.0001)}{2}$

$m \approx \frac{2+2}{2}$

$m \approx 2$

The slope of the tangent line to the curve at P(7, -2) is 2.

c) The equation of the tangent line is a first-order polynomial with the following characteristics:

$y = m\cdot x + b$

Where:

$x$ - Independent variable.

$y$ - Depedent variable.

$m$ - Slope.

$b$ - x-Intercept.

The slope was found in point (b) (m = 2). Besides, the point of tangency (7,-2) is known and value of x-Intercept can be obtained after clearing the respective variable:

$-2 = 2 \cdot 7 + b$

$b = -2 + 14$

$b = 12$

The equation of the tangent line to curve at P (7, -2) is $y = 2\cdot x + 12$ .

7 0

3 years ago

W+3 /3 = -4<br> Solve what (W) = <br> Im having trouble solving this can someone help <br> Thanks :)

poizon [28]

Answer:

w = - 15

Step-by-step explanation:

Assuming you mean

$\frac{w+3}{3}$ = - 4 ( multiply both sides by 3 to clear the fraction )

w + 3 = - 12 ( subtract 3 from both sides )

w = - 15

5 0

3 years ago

Read 2 more answers