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jenyasd209 [6]
4 years ago
12

How can I become smarter in math

Mathematics
2 answers:
dlinn [17]4 years ago
5 0
Study and watch videos on the lessons
Afina-wow [57]4 years ago
4 0
Hey, you could study or have a friend help you. Hope this helps you
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Find the gradient of the function. Assume the variables are restricted to a domain on which the function is defined. z=2xe2yx+2y
Dmitry_Shevchenko [17]

Answer:

grad(z(x,y))=2[e^{2xy}+2xye^{2xy}]\hat{i}+[4x^{2}e^{2xy}+2]\hat{j}

Step-by-step explanation:

z=2xe^{2yx}+2y

The gradient of a function is

grad(z(x,y))=D_{x}z(x,y)\hat{i}+D_{y}z(x,y)\hat{j}

where Dx means derivative over x and the same for Dy. Hence we have

grad(z(x,y))=2[e^{2xy}+2xye^{2xy}]\hat{i}+[4x^{2}e^{2xy}+2]\hat{j}

where we have used derivative of a product anf of an exponential function

I hope this is useful for you

regards

4 0
3 years ago
Choose the smallest number on the number line?
lyudmila [28]

Answer:

-6

cuz I'm smart. big brain time

6 0
2 years ago
Find the exact value of the expression. Write the answer as a single fraction. Do not use a calculator.
Artemon [7]
Use:\\sin(x+y)=sinxcosy+sinycosx\\\\tan(-x)=-tanx\\tan(k\pi+x)=tanx\\\\cos(-x)=cosx\\cos(2k\pi+x)=cosx\\cos(x+y)=cosxcosy-sinxsiny


sin\frac{3\pi}{2}=sin(\pi+\frac{\pi}{2})=sin\pi cos\frac{\pi}{2}+sin\frac{\pi}{2} cos\pi=0\cdot0+1\cdot(-1)=-1\\\\tan\left(-\frac{23\pi}{4}\right)=-tan\frac{23\pi}{4}=-tan\left[6\pi+\left(-\frac{1}{4}\pi\right)\right]=-tan\left(-\frac{1}{4}\pi\right)=tan\frac{\pi}{4}=1

cos\left(-\frac{10\pi}{3}\right)=cos\frac{10\pi}{3}=cos\left(2\pi+1\frac{1}{3}\pi\right)=cos\left(1\frac{1}{3}\pi\right)=cos\left(\pi+\frac{\pi}{3}\right)\\=cos\pi cos\frac{\pi}{3}-sin\pi sin\frac{\pi}{3}=-1\cdot\frac{1}{2}-0\cdot\frac{\sqrt3}{2}=-\frac{1}{2}\\\\sin\frac{3\pi}{2}tan\left(-\frac{23\pi}{4}\right)-cos\left(-\frac{10\pi}{3}\right)=-1\cdot1-\left(-\frac{1}{2}\right)=-1+\frac{1}{2}=-\frac{1}{2}
6 0
3 years ago
What is 1 whole minus 5/6
Ainat [17]

Answer:

1/6

Step-by-step explanation:

1 - 5/6

We need to get a common denominator of 6

1*6/6 - 5/6

6/6 -5/6

1/6

7 0
3 years ago
Read 2 more answers
The length and breadth of a rectangle are in the ratio 3 : 1. If the breadth is 7 cm, then the length of the rectangle is
Rus_ich [418]

Answer:

the length would be 21

7x3=21

7 0
3 years ago
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