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- Determine whether each of the following statements is true or false, and explain why. The derivative of 3 is 32.arrow_forwardEvaluate the following integrals. Give exact values for your answers. Explain the motivation for your work.arrow_forward2. Find the following definite and indefinite integrals. O Parts a, b, and c: For the indefinite integrals, you do not need to simplify your final O a. answer. Parts d and e: For the definite integrals, simplify your answer and write your answer in exact form. Do not use a calculator. [(x-3 + 5x5/2+√3)dx [(-e² +13) dx d. e. (²2-√x) dx (ex - x)dx L² (2x - J-3 (2x - 1)dx Oarrow_forward
- Show detailed solution for the following definite integral: (Non-anonymous questionO) 2/2 Vx2-4 dx 2arrow_forwardFind the Zeros of the following functions and show your complete solution. Answer a-c. a. – 2 cos 5/4 xb. 2 cos (x – 2π)c. 3 cos (x + π/6)arrow_forwardThe total sales in dollars of some small businesses fluctuates according to the equation S A+B sin x, where x is the time in months, with x= 1 corresponding to January, A 6,600, and B= 3,600. Determine the month with the greatest O A. December, $10,200 O B. September, $3,000 OC. March; S10,200 O D. June; $6,600 Click to select your answer.arrow_forward
- Find the Zeros of the following functions and show your complete solution. Answer a-d. a. –3 cos 6xb. – 2 cos 5/4 xc. 2 cos (x – 2π)d. 3 cos (x + π/6)arrow_forward13. Convert to degrees an angle of radians. Work this out "by hand", not using the conversion functions 12 in your calculator. You must clearly show all details of your reasoning in detail 14. Find the indefinite integral dx x* +1 Show all reasoning in detailearrow_forwardPlease help me answer this one. Please type it here, and if ever you want to handwritten it, make sure it's readable ? Evaluate each of the following indefinite integrals. NOTE: Show your solutions or answers. Type only your step by step solutions and answers here, do not handwritten. Failure to follow the above reminders and direction will be marked as not helpful. Thank you.arrow_forward
- A musician is playing a tuba. If she plays a note and holds it for a significant length of time, the air pressure near the opening of the tuba can be modeled by the following function. p(t) = 101,326.3 – 0.4 sin 345.6t In this equation, p (t) represents the air pressure in pascals, and t is the time in seconds. Find the following. If necessary, round to the nearest hundredth. Number of cycles of p per second: | Period of p : seconds Minimum air pressure: pascalsarrow_forwardEvaluate the following integrals: Show CLEAN AND CLEAR solutions also indicate what rules/formulas you used to obtain your answer (x-5) dxarrow_forwardPlease help me answer this one. Evaluate each of the following indefinite integrals. NOTE: Show your solutions or answers. Type only your step by step solutions and answers here, do not handwritten. Failure to follow the above reminders and direction will be marked as not helpful. Thank you.arrow_forward
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