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sukhopar [10]
3 years ago
5

Differentiate the function y = 2x*log[10](sqrt(x))

Mathematics
1 answer:
Brums [2.3K]3 years ago
5 0
We are given with the equation y = 2x*log[10](sqrt(x))  we use the rule of products of the differential equation to answer this problem. y' = u dv + v du. derivative of 2x is 2 while the derivative of log(sqrt(x)) with base 10 is 1/x ln10 * (0.5x^-0.5) in this case, 
y' = 2 log[10](sqrt(x)) + 2x* 1/x ln10 * (0.5x^-0.5)
y' = 2 log[10](sqrt(x)) + l/ ln 10 sqrt(x)
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The average of 8 scores is Q. If the average of 3 of the scores is Z, what is the average of the other 5 scores?
OLga [1]
\dfrac{s_1+\cdots+s_8}{8}=Q\implies s_1+\cdots+s_8=8Q
\dfrac{s_1+s_2+s_3}{3}=Z\implies s_1+s_2+s_3=3Z

Substituting into the first equation, this means

s_4+\cdots+s_8=8Q-3Z

Divide by 5 to get the average:

\dfrac{s_4+\cdots+s_8}{5}=\dfrac{8Q-3Z}5
7 0
3 years ago
Pls help me I have 5 min to do this!!!! PLS PLS PLS PLS PLS NO LINKS!!!! I can’t open them just pls give me the answer idc how y
dsp73

Answer:

reflected over x - axis

P(8, -6)

Q(5, -2)

R(-2, -1)

4 0
3 years ago
Write each fraction as a percent 4/100
nadezda [96]

Answer:

4%is the answer you are looking for

8 0
3 years ago
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A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
hjlf

Answer: 150mm

Step-by-step explanation:

Take the two adjecent sides of the triangle to be x and y and X is the angle opposite the side, x.

From the trigonometric identities for a right-angled triangle, it is known that

x=170sin X and;

y=170cos X

Thus the perimeter of the triangle is given by

170sin X + 170cos X + 170 = 400

170(sin X + cos X) = 400 - 170

170(sin X + cos X) = 230

sin X + cos X = 230/170 = 1.3529

Squaring both sides hence,

sin^2(X) + 2sin X.cos X + cos^2(X) = 1.8304

Recall that sin^2(X) + cos^2(X) = 1 and 2sin X.cos X = sin 2X.

Thus, the former expression gives;

1 + sin 2X = 1.8304

sin 2X = 0.8304

2X = arcsin (0.8304)

2X = 56.14° or (180 - 56.14)° = 56.14° or 123.86° for X existing within a triangle.

X = 56.14/2 or 123.86/2

X = 28.07° or 61.93°

Thus the two adjacent sides are ;

x = 170 sin (28.07) = 80mm

y = 170 cos (28.07) = 150mm

Using the value of 61.93° as X would give the same values but interchanged for x and y.

I hope you find this useful.

5 0
3 years ago
PLEASE HELP ME WITH THANKS :)
Maurinko [17]

Answer

12855.04 ft³

Step-by-step explanation:

regular Octagon consists of 8 congruent triangles

B = (13.28 x 11) / 2 x 8=584.32

V = BH = 584.32 x 22 = 12855.04

8 0
3 years ago
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