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What else can I help you with?
What is the integral of dy?
Ingetral(dy) = y + c (c is a constant. A point would have to be given to find the value of c.)
How do you differentiate xy equals logy c?
The differential of the product xy with respect to x is y + x dy/dx. The differential of logy with respect to x is (1/y) dy/dx. The role of c in this question is not made clear.
What is differential equation of x-y equals xy?
x - y = xydifferentiating wrt x1 - (dy/dx) = x(dy/dx) + y(x + 1)(dy/dx) + y + 1 = 0
What is the slope of xy in the xy plane?
The equation (xy = c), where (c) is a constant, represents a hyperbola in the xy-plane. To find the slope, we can implicitly differentiate the equation with respect to (x). This gives us (y + x \frac{dy}{dx} = 0), leading to the slope (\frac{dy}{dx} = -\frac{y}{x}). The slope varies depending on the values of (x) and (y), indicating that it is not constant across the hyperbola.
Why do you divide by 3 to get the volume of a pyramid?
It comes from Calculus. You are integrating a function which has some form of y²dy {dy is the height of a tiny horizontal slice, which is the shape of a square which is area y²}. The integral of y²dy is y³/3
How do you Differentiate and Integrate y equals 3x?
dy/dx = 3 integral = (3x^2)/2
How do you calculate slope of a curve?
If the curve is on the xy-plane, finding an expression for dy/dx will give you the slope of a curve at a point.
What is the derivative of xy-2y equals 1?
by implicit differentiation you have y+x*dy/dx-2dy/dx=0 solving for dy/dx you'll have dy/dx=y/(2-x) and solving for y in the original equation and plugging it back in, you'll get dy/dx=1/(-x^2 +4x-4) which is your final answer
What is the integral of 2?
The integral of 2 is "who gives a $%&#." You need to know what 2 is relating to and what the 2 means. If the question is "What is the integral of 2 dx" the answer would be "2x + c," with c being a constant. If you instead wish to know what the integral of 2 dy, the answer is very different. (2y +c)
How do you express an iterated integral in six different ways?
First, draw the region/solid being bounded by parameters say: y^2 + z^2 = 9, x = -2, and x = 2 Now analyze what possible iterated integrals can be used to find this region. the two "main" iterated integrals are: the triple integral from [-2,2] [-3,3] [-sqrt(9-y^2),sqrt(9-y^2)] dz dy dx and [-2,2] [-3,3] [-sqrt(9-z^2),sqrt(9-z^2)] dy dz dx Now, instead of sketching every region to find the different possible integrals, using the rules of triple integration, they will essentially be any legal alteration of the order of the "main" integrals. essentially, the first main integral can be rewritten as dx dz dy, and dz dx dy the second can be written as dx dy dz and dy dx dz.
Integral of sin square root x?
For ∫ sin(√x) dx let y = √x = x1/2 → dy = 1/2 x-1/2 dx → 2x1/2 dy = dx → 2y dy = dx → ∫ sin(x1/2) dx = ∫(sin y) 2y dy Now: ∫ uv dx = u∫v dx - ∫(u'∫v dx) dx → ∫(sin y) 2y dy = ∫2y sin y dy = 2y ∫sin y dy - ∫(2 ∫sin y dy) dy = -2y cos y + 2 sin y + C = 2 sin y - 2y cos y + C → ∫ sin(√x) dx = 2 sin(√x) - 2(√x) cos(√x) + C
What is the integral of 3 x square?
Int = 3x^(2) dy y = 3x^(3) / 3 + c y = x^(3) + C
