Simplify the following expression. d dx 6 (1412+t+5) dt d dx √(147 ·S (14t² +t+5) dt = ☐ ...

1. Simplify: a. (x2y)2 / xy = xy5 b. x2 X y4 X x3 / (2x2)2 c. (3x2y2)2 X x2y2 d. (2x3y)3 / x2y

Find: 7 A. ²¾½ ( x − 3 ) ² − § (x − 3)² + 6(x − 6 2 ²√x-3 dx =? B. 7 6 ¾/ (x − 3) ²¹ – §§ (x − 3) ž 5 7 c. ²/(x − 3 ) ² 2 + ½³² (x − 3)² 5 D. ² ( x − 3 ) ² + ¹⁄² ( x − 3)² E. NO correct choices 3 3) ²³ + c 3 + ² (x − 3) ² + c + c + ²½ (x − 3) ² 3 6(x − 3)² + c + + 6(x −

Find the error in the following work. Dx 2x + 5 2 X 1 = = (2x+5)(2x) - (x²-1) 2 (x²-1)² 4x² +10x-2x² +2 (x²-1)² 2x² + 10x + 2 (x²-1)² Choose the correct answer below. A. In the last step, the numerator should be 2x² - 10x + 2. B. In the first step, the numerator should be (x²-1) 2- (2x + 5)(2x). C. In all three steps, the denominator should be (2x + 5)². D. In the first step, the numerator should be (x²-1) (2x + 5) - (2x)2.

3.) Simplify (0.75x + 2y) - (0.3x – 0.6y)

Find the error in the following work. d 2x+5 dx 2 x 1 - (2x+5)(2x)-(x²-1)2 (x²-1)² 4x²+10x-2x²+2 2 2 2 (x²-1)² 2x²+10x+2 (x²-1)² Choose the correct answer. ○ A. In the first step, the numerator should be (x² -1) (2x+5)-(2x)2. 2 ○ B. In the first step, the numerator should be (x² - 1) 2-(2x+5)(2x). ○ C. In the last step, the numerator should be 2x² - 10x+2. ○ D. In all three steps, the denominator should be (2x+5)².

Integrate the given expression. бх — 7 dx A - (6x - 7) 3/2 + C none of these 1 (c) - (6x - 7) 3/2 + C D : (6x - 7) 3/2 + C E - (6x - 7) 3/2 + C B

Find the error in the following work. Dx 2x+5 = = = (2x+5)(2x) - (x²-1) 2 (x²-1)² 4x² +10x-2x² +2 (x²-1)² 2 2x + 10x +2 (x²-1)² Choose the correct answer below. O A. In the first step, the numerator should be (x² − 1) (2x+5)-(2x)2. O B. In the first step, the numerator should be (x² − 1)2-(2x+5)(2x). OC. In the last step, the numerator should be 2x - 10x + 2. OD. In all three steps, the denominator should be (2x + 5)².

evaluate SSD (1+4x34y²) ½ dA where O is the bottom half of x²+4² = 16

4ln(2x+3)=e?