This chapter covers anti-derivatives, definite integrals, and applications in Calculus. Please show all work and circle all final answers. Use correct limit notation and include units when applicable.
This chapter covers anti-derivatives, definite integrals, and applications in Calculus. Please show all work and circle...
Please show solution steps. Thanks! 11. Give the values of the definite integrals: 1., (x) dx = 12, 1,8(x) dx = -6, 5, 8(x) dx = 24 find: |.[2f(x) + 4g(x)] dx = b) {**$(x) dx = — c) | ,8(x) dx = 12. (8 pts.) The graph of f'(x) is given. Identify the following properties for f(x). YA y= f'(x) far a) What are the x-values of the critical numbers on the graph: b) Make a sign chart for...
4. [25 points) Solve each of the following definite and indefinite integrals. Show all of your work for full credit. For definite integrals, leave numerical answers in exact form (without rounding). Please double-check to make sure you copy the problems correctly, as minor typos could change the difficulty of these substantially. a. 1(413 – 1/3 + 1)dt b. Syndx c. S x cos(3x) dx d. S 6x sin(3x) dx e. 2y In y dy
PLEASE ANSWER ONLY #13. THANK YOU! 804 CHAPTER 13 Definite Integrals: Techniques of Integration EXERCISES 13.2 37. In the figures, D) has the area (a) (W) de Evaluate the definite integrals in Problems 1-32. 1. for de 2 (Bxdx 4 2dy 5. (dx 6 Izde 7. 36 de 9. (10 - 4x) dx 10. (8x – 9) dix 11. C'ex-? - 5x) dx 12. f**-5x + 2x) dx 13. Lavras 14. (Vada 15 ligdy 16. 17. / - 4) da...
Please help with 1-10 and please show all work thanks. Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...
Show all work in a neat manner. Use appropriate notations and correct math language. Circle your answers. No calculators. 1. The graph of a function f is given below. Showing the corresponding rectangles and assuming that one tick mark on the x-axis is 1 unit, estimate $(x)dx using four 0 subintervals with a) Right endpoints: b) Left endpoints c) Midpoints: Which method does give better approximation? Explain.
Please show ALL of your work as if you don't have a calculator. Thanks! Activity: A Journey Through Calculus from A to Z x g'(x) sin(x - 1) x-1 kx2 - 8x +6, * 1 1<x<3 -4 13 h(x) = f'(2) 14e2x-6 – x2 +5, x>3 108 2 3 e -1 Consider f'(x), the derivative of the continuous function f. defined on the closed interval (-6,71 except at x = 5. A portion of f' is given in the graph...
Please show all work for full credit, Circle or otherwise clearly indicate your answer to each question. Simplify all answers. Do not leave any negative exponents or complex fractions in your final answers. Compute the given derivative. 1) dx =-9 Simplify. 2) e4x - 1 Differentiate. 3) e3x ex 4) f(x) = 1 + x2
Please show all steps & work, thanks! 1. Use the given graph of y = f(x) to evaluate the following definite integrals, y = f(x) --4 a. -3 --2 L. f(a) de 5. Lflz) di « ["ra) de 1. (536) di 1 -3 -1 2 3 4 -1 -2 -3
calculus, integrals area and volume show all your solution clearly, please help, thx very much Task College requires a bottle, which will hold 750mL of liquid, for its official functions. This must be a runctional bottle, suitable for storing and serving the contents. Your task is to design such a bottle. You will need to construct a graph consisting of at least one, but no more than four curved functions (one of which should be degree 3, or higher), together...
Please show all work and answer 5) For each of the integrals in problems a c below, first sketch the corresponding area, and then approximate the area using the right and left endpoint approximations and the Trapezoid Rule, all with n = 4 . From your sketch alone determine if each approximation is an overestimate, an underestimate, or if there is not enough information to tell. Finally determine the value of n for which the Simpson Rule would approximate the...