<span>2<span>x2</span>+xy+2<span>y2</span>=5</span>Implicit differentiation yields<span>4x+y+x<span>y′</span>+4y <span>y′</span>=0</span>Solve for <span>y′</span><span>.
answer is- y = 4x+ y /5x</span>
Answer:
256
Step-by-step explanation:
A calculator works well for this.
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None of the minus signs are subject to the exponents (because they are not in parentheses, as (-1)^5, for example. Since there are an even number of them in the product, their product is +1 and they can be ignored.
1 to any power is still 1, so the factors (1^n) can be ignored.
After you ignore all of the things that can be ignored, your problem simplifies to ...
(2^2)(2^-3)^-2
The rules of exponents applicable to this are ...
(a^b)^c = a^(b·c)
(a^b)(a^c) = a^(b+c)
Then your product simplifies to ...
(2^2)(2^((-3)(-2)) = (2^2)(2^6)
= 2^(2+6)
= 2^8 = 256
Domain includes all the x-values in the function. Range includes all the y-values in the function.
The first table has x-values of -1, 3, and 6, and y-values of 4, 5, and 6. This means that the domain and range would be given by the following sets:
Domain: {-1, 3, 6}
Range: {4, 5, 6}
The second set of points has x-values of -4, -4, -3, and 1, and y-values of 1, 1, 3, and 4. Duplicate points are not listed within the domain and range, so the domain and range would be given by the following sets:
Domain: {-4, -3, 1}
Range: {1, 3, 4}
Answer:
9383792994
Step-by-step explanation:
I the answer is 9383792994
Answer:
Surface area of cylinder= 211.5π
Step-by-step explanation:
Given,
Height of cylinder = 19cm
Diameter of cylinder = 9cm
i.e Radius of cylinder = diameter/2 = 9/2 = 4.5cm
Surface area of cylinder = 2πrh + 2πr²
Plug corresponding values of r and h in surface are formula.
Surface area of cylinder = 2πrh + 2πr² = 2π*4.5*19 + 2π*4.5²
Surface area of cylinder = 171π+40.5π = 211.5π
Hence we get surface area of cylinder= 211.5π