Integrate the given expression. ſ(2x + 4)2 dx 4x3 + 16x2 + 4x + c 8x+ 16 + C x3 +8x2 + 16x+C x3 + + 4x + C
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1. Simplify: (5x + 3) - (4x + 1)(6 - x) (4 marks) Perform the indicated operation and simplify: -6V80 + 275- 8245 - 14 V108 2. (2√5 - 4√6) (3√3 + 8 √2) (8 marks) 3. Simplify, and state the restrictions on the variable x² - x-6x² - 2x+1 x2 - 4 x-1 8 9x +15x 3x + 5 (12 marks) Determine if the following expressions are equivalent. Justify your answer. 6x +...
Evaluate the following integral in cylindrical coordinates. 6 213 16x2 SS S -x2 - y2 dy dx dz e 0 0 X 6 213 16-X2 S ,-x2 - y2 dy dx dz = 0 0 x (Simplify your answer. Type an exact answer, using a as needed.)
Question 9 (6 points) Simplify and state the restrictions: X? – 6x +5 2x2 -11x + 5 - 4(x² - 1) 8x2 - 4x
Operations with Radical Expressions 4 6 Simplify the following. SIMPLIFY ALL RADICALS COMPLETELY - NO DECIMALS. 1.278 + 3V32 - 2/3 2. (2/5 + 3)(4 – 373) I 3 3-V2 4+13 4. 2/4x²y - 128x’y
Evaluate the function at the given values of the independent variable and simplify. f(x) = 4x -- (a) f(2) (b) f(-2) (c) f( - x) (a) f(2)= * (Type an integer or a fraction. Simplify your answer.) (b) f(-2)= 3 (Type an integer or a fraction Simplify your answer) (c) f(-x) = 4x+, 1 (Simplify your answer)
2.3.53 Let g(x) = - x2 + 4x +1. Find and simplify g(-2). g(-2) = (Simplify your answer.)
Rewrite cos 4x + cos 2x as a product and simplify if possible.
4 a) joy, using, implicit differentakel 6) If y = (4x+5) - ² + ln (4x+6) - ex-8 then sind go (derivative of
Solve the system by the addition method. 4x-5y 5 3x-7y-6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. There is exactly one solution. The solution set is O B. Simplify your answer. Type an ordered pair.) There are infinitely many solutions. The solution set is (xy)4x-5y 5) or (x y)3x-7y6) C. The solution set is Ø.