
need help [45 pts) Find the following antiderivatives. a) [(10x°-5x² +3+xzdx b) c) flize lake
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need help with all of these
[55 pts) Find the following limits analytically (that is neither graphically nor numerically). a) lim x² – 2x- 8 x+2 b) lim 10x*-x 3х c) lim 9-x? x X-3
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b) (9 pts.) Find the intervals where f(x) is increasing/decreasing, and classify any local max/min. (c) (3 pts) Find f '(x) (d) (9 pts.) Find the intervals where f(x) is concave up/down and classify any inflection points. Using the information from parts a-d only, sketch the graph of y=f(x).
2. Solve the following equations: (4 pts ea.) a. 5x – 2y = 15 & 3x + 2y = -7 b. 2x + 3y = 3 & - 10x + 2y = -32
3. Given the following system of linear equation: (5x + 6y + 72 = 18 10x + 12y + 3z = 25 (20x + 17y + 192 = 56 (a) Solve the system using only Cramer's rule. (6) Solve the system using only Inverse Matrix Method. (c) Solve the system using only Gaussian Elimination.
2. 13 Given the following system of equations, 5x - 10y = 0 10x - 57y = 15 determine the unknowns x and y using Cramer's rule (IN PYTHON WORK) Help please.
Consider the following long division problem. 5x-3)25x3 +7x2 + 10x -5 Begin the division process by dividing bywhich obtains Write this result above in the dividend
pleas i need help the answers of this questions thanks
ich of the following solutions using the table below. Final Volume Questions: 1. (4pts) Explain how to make each of the following solutions u Question #1 Grams Solute 100ml of 250mM (0.25M) MgCl2 2 L of 100mM NaCl 100ml of 1% MgCl2 10ml of 4% MgCl2 2. (2 pts) Explain how to make each of the following solutions using the of the following solutions using the table below. Question #2...
For parts a, b, c and d, use the following function: f(x) = e-5x a) (3 points) Write the Taylor polynomial of degree four for f(x) centered at 0. b) (2 points) Use the Taylor polynomial from part a to estimate the value of e-0.5. (Hint: let find x). c) (3 points) Write the series generated by f(x) at zero in sigma notation. d) (3 points) Find the radius of convergence and state the interval of convergence. d) (3 points)...
Q#1
1. (10 pts) Find the error that was made in the work shown below and explain the mistake in your own words. Then fix the mistake and find the correct solution. Write your answer in the form dividend - divisor = quotient +- remainder divisor . -5x² + 3 2 x + 3 2x2 +1 -10x“+3x3-7x +5 -(-10x*- 5x2) 3x3 + 5x2-7x+5 -3x3 + 3x 5x2- 5.5x+5 - (5x+5) -5.5x +2.5
help!! please!!
3. Bernouilli Equation (6 pts) A ship is floating on a lake. The inside of the ship is empty and open to the atmosphere. The hull has a hole in it which is below the water line, so water leaks into the ship. The area of the hole is 0.0085 m² and it is located 2.0 m below the surface of the lake. (a) What is the velocity of the water coming in through the hole? (b) What...