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You can't, unless it's an initial value problem. If f(x) is an antiderivative to g(x), then so is f(x) + c, for any c at all.

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Q: How can you calculate the arbitrary constant in the solution to an antiderivative?
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How do you solve g x equals -3x plus 1?

If: x = -3x+1 Then: x+3x = 1 => 4x =1 So: x = 1/4 or 0.25 ----------- I notice that the question requests a solution for g x = -3x + 1. It seems possible that parentheses around the 'x' after the 'g' have gone missing, along with a prime indicating the derivative of the function g. This being the case, we would be seeking the antiderivative of -3x + 1. The antiderivative of a sum is the sum of the antiderivatives. So we can look at -3x and +1 separately. The derivative of x2 is 2x. Therefore, the antiderivative of x is x2/2, and the antiderivative of -3x is -3x2/2. The antiderivative of 1 is x. Overall, the solution is the antiderivative -3x2/2 + x + C, where C is an arbitrary constant.


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Why molarity of a solution remains constant?

Molality of a solution remains constant as mass of a solution independent of temperature.


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What is the antiderivative of -cscxcotx?

First, antiderivative = a solution to the indefinite integral therefore to integrate -(csc(x))(cot(x)) first convert it to -cos(x)/sin2(x) To integrate ∫-cos(x)/sin2(x) dx, use substitution u = sin(x) and du/dx = cosx This will make it ∫-1/u2 du and the antiderivative is 1/u +c, therefore the answer is 1/sin(x) + c.


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Ion product constant is the product of the concentrations of the ions in a solution at equilibrium. In water, the ion product constant for pure water is Kw = [H3O+][OH-] = 1.0 x 10^-14 at 25°C. It is used to calculate the pH of a solution and can be used to determine if a solution is acidic, neutral, or basic.


What is 21.6g NiSO4 in 1.00 102g H2O assume 100 percent ionization compute the freezing point of this solution?

To determine the freezing point depression of the solution, you first need to calculate the molality of the nickel sulfate (NiSO4) solution. Next, using the molality value and the cryoscopic constant of water, you can calculate the freezing point depression of the solution using the formula: ΔTf = Kf * m, where ΔTf is the freezing point depression, Kf is the cryoscopic constant of water (1.86°C/kg), and m is the molality of the solution.


Trihydroxybenzoic acid is a not so weak acid with an ionization constant ka equals 0.021 calculate the H plus and the pH of a 0.050 molar solution?

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What is the boiling point of a 2.35 m solution of sodium sulfate?

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How much would the freezing point decrease if a 3.23 molal solution were achieved?

The freezing point depression of a solution is given by the equation ΔTf = Kf * m, where ΔTf is the freezing point depression, Kf is the cryoscopic constant, and m is the molality of the solution. With the molality (m) of 3.23 molal and the cryoscopic constant for water (Kf) being approximately 1.86 ºC kg/mol, you can calculate the freezing point depression.