MA 121 ASSIGNMENT 1b

MA 121 ASSIGNMENT 1b - MA 121 ASSIGNMENT 1 Please show all...

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Unformatted text preview: MA 121 ASSIGNMENT 1 Please show all of your work in answering the following: 1. Solve for x : 7 x − x 2 = − x −5 4 2. Use rules of exponents to find the exact value of 16 3. Find an equation of the line that contains the points ( 1, -3 ) and ( -1, 5 ). x<0 ⎧ −x + 1 ⎪ −3 x=0 4. Sketch the function f ( x ) = ⎨ 2 ⎪x − 4 x + 3 x > 0 ⎩ 5. Suppose that $5000 is invested at 4% compounded monthly. How much money is in your account at the end of 3 years? 6. Compute the following limits: a) lim x→ 2 x 2 + 3 x − 10 x 2 + 3 x − 10 b) lim x→ 0 x−2 x−2 c) lim x →1 x3 − x + 6 x2 − 3 x 2 + x − 12 is continuous at x = 0 . Verify your answer. x−3 8. Use the definition of derivative to find f ′( x ) when f ( x ) = x 2 − 5 x + 1 7. Decide whether f ( x ) = 9. Find y′ when a) y = 5 x + 2 x − 6 x 3 2 3 b) y = ( x 3 + 5 x )( x 5 + 3 x 2 − 5) 8 3 2x 2 − 5x c) y = 3 x +2 ⎛ x 2 − 1⎞ d) y = ⎜ ⎟ ⎝x⎠ e) y = 2 x x3 + 4 x f) y = ( x − 2 )5 3 5x − 2 (OVER) 10. Find y′′′ when y = −5 x 11. Find an equation of the line tangent to the curve y = 12. Given a distance function s(t ) = t + t t = 1. 4 13. 2 3 4x at the point ( 0, 0 ). 1 + x2 Find the velocity and acceleration at Given a cost function C ( x ) = 600 x 3 + 2 and a revenue function R( x ) = 500 x 2 + 3 , find the marginal profit function. ...
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MA 121 ASSIGNMENT 1b - MA 121 ASSIGNMENT 1 Please show all...

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