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In order to answer this question you need to use integration by parts.Using the standard integration by parts formula: ∫u dv/dx dx = uv-∫v du/dx dx.Let:u=ln(x) v=(1/2)x²du/dx=1/x dv/d...

To find x, we need to create an expression from the information given. We know the area is 15 and that the area is equal to the length multiplied by the width. This gives us:(x+3)(2x-1) = 15Then we can ex...

3 ½ = 7/22 ⅓ = 7/3To add or subtract 2 fractions, the denominator (bottom number) must be the same. To create a common denominator we can multiply the first fraction by 3 and the second by 2.This gives us...

First rearrange to get 5x² - 10x - 4 = 0 , by subtracting 10x and 4 from both sides of the equation. Here, we can use the quadratic formula which is x = -b+- sqrt(b² -4ac) / 2a. In o...

First of all you must differentiate this function, as this will give you the gradient function necessary to find the gradient at the point (4,16). To differentiate it you use the formula dy/dx= a...