Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) √x-8√x+15 dx Need Help? Read It
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- A person standing at the edge of a cliff throws a rock upward from a height of 240 ft above ground level with an initial velocity of 48 ft/s. Calculate the velocity of the rock when it is exactly 32 ft above the person's hand. Separate multiple answers with a comma. (Hint: Use h(t) = − 16t² + 48t + 240 as the position function, where h is in feet, t in seconds. Ignore air resistance.) Answer ft/s Keyp- Keyboard ShortA person standing at the edge of a cliff throws a rock upward from a height of 180 ft above ground level with an initial velocity of 48 ft/s. Calculate the velocity of the rock when it is exactly 32 ft above the person's hand. Separate multiple answers with a comma. (Hint: Use h(t) = - 16t² + 48t + 180 as the position function, where h is in feet, t in seconds. Ignore air resistance.) Answer ft/s Keypa Keyboard Short-Which function has the roots 2/3 and -1/4? A. 12x2-5x-2 B. 12x2+5x-2 C. 2x2-5x-12 D. 2x2+5x-12
- A person standing at the edge of a cliff throws a rock upward from a height of 170 ft above ground level with an initial velocity of 64 ft/s. Calculate the velocity of the rock when it is exactly 48 ft above the person's hand. Separate multiple answers with a comma. (Hint: Use h(t) = − 16t² +64t + 170 as the position function, where h is in feet, t in seconds. Ignore air resistance.) Answer ft/s Keypa- Keyboard ShortcA person standing at the edge of a cliff throws a rock upward from a height of 180 ft above ground level with an initial velocity of 48 ft/s. Calculate the velocity of the rock when it is exactly 32 ft above the person's hand. Separate multiple answers with a comma. (Hint: Use h(t) = - 1612 + 481 + 180 as the position function, where h is in feet, t in seconds. Ignore air resistance.) Answer E Keypad Keyboard Shortcuts ft/sSupposing that the water from the bucket was released 333 ft above the ground. And the function d = - 16t2 −2t + 333 gives the d distance, in feet, of the water and the ground in t seconds. How long did it took the water to reach the ground?
- Evaluate f (3x? +1+ 4x) dx a. 166 b. 186 C. 176 d. 216A person standing at the edge of a cliff throws a rock upward from a height of 240 ft above ground level with an initial velocity of 48 ft/s. Calculate the velocity of the rock when it is exactly 32 ft above the person's hand. Separate multiple answers with a comma. (Hint: Use h(t) = − 16t² + 48t + 240 as the position function, where h is in feet, t in seconds. Ignore air resistance.)Differentiate. y = √x / √x+7