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samw08m1

# samw08m1 - Sample Problems for Midterm I MAT 21B...

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MAT 21B Sample Problems for Midterm I 1) (True/False) Label the following statements as either true or false. (No explanation required. Each correct label is worth two points.) a: 3 summationdisplay k =1 ( k ) 2 = - 1 summationdisplay k = - 3 k 2 b: If f ( t ) is a continuous function, then integraltext b a f ( t ) dt exists. c: tan ( π/ 3) = 3 d: integraltext b a f ( x ) + g ( x ) dx = integraltext b a f ( x ) dx + integraltext b a g ( x ) dx e: 3 summationdisplay k =1 3( k ) 2 = 3 - 1 summationdisplay k = - 3 k 2 2) (8 points) Find the antiderivatives of the following functions: a: cost b: 3 x 3 c: 5 7 7 x d: e t 3) (6 points) If a ball is thrown upward at a velocity of 20 ft/s. How high will it go? 1

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4) (10 Points) Not using the Fundamental Theorem of Calculus, i.e. , using Riemann sums, do the following:
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