Algebra

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1. Math

   What is the simplified form of The quantity x to the fourth power minus 81 divided by the quantity x plus 3 ? A. x cubed minus 3 times x squared plus 9 times x minus 27 B. the quantity x squared plus 9 times the quantity x squared

2. Quick calc question

   Use geometry to evaluate the integral from 0 to 10 of the function f of x, dx for f of x equals 5 for x less than or equal to 5 and equals the quantity 10 minus x for x greater than 5 . 12.5 25 37.5 Cannot be found

3. Algebra

   Solve the given polynomial equation. Use the Rational Zero Theorem and​ Descartes's Rule of Signs as an aid in obtaining the first root. 2 x cubed minus 5 x squared minus 5 x minus 1 equals 02x3−5x2−5x−1=0

4. Calculus

   PLEASE HELP! Which one or ones of the following integrals produces the area that lies inside the circle r = 3 sin θ and outside the cardioid r = 1 + sin θ? (10 points) I. one half times the integral from pi over 6 to 5 times pi

1. Calculus

   Let F of x equals the integral from 1 to 3 times x of the natural logarithm of t squared. Use your calculator to find F″(1). A. 12 B. 6 C. 4 D. 1/9 Find the range of the function f of x equals the integral from 0 to x of the

2. Algebra help

   Solve by completing the square x2 - 2x - 5 = 0. Help please a)1 plus or minus√6 b)-1 plus or minus√6 c)-3 plus or minus 2√6 d)3 plus or minus 2√6

3. Calculus AB

   Which of the following functions is continuous at x = 3? (5 points) Select one: a. f of x equals the quotient of the quantity x squared minus 9 and the quantity x plus 3 b. f of x equals the quotient of the quantity x squared

4. Calculus

   Use the mid-point rule with n = 2 to approximate the area of the region bounded by y equals the cube root of the quantity 16 minus x cubed y = x, and x = 0.

1. Quick calc question

   Write the Riemann sum to find the area under the graph of the function f(x) = x2 from x = 1 to x = 5. 1. the summation from i equals 1 to n of the product of the quantity squared of 1 plus 5 times i over n and 4 over n 2. the

2. Algebra

   three times the smaller of two consecutive even integers is the same as -146 minus 4 times the the larger integer.

3. Calculus

   Use geometry to evaluate the integral from negative 3 to 3 of f of x, dx for f of x equals the square root of the quantity 4 minus the square of the quantity x plus 1 for x is between negative 3 and 1 including negative 3 and 1,

4. Calculus

   A wire 60 cm long is to be cut into two pieces. One of the pieces will be bent into the shape of a square and the other into the shape of an equilateral triangle, as shown in the diagram below: a diagram showing a 60 cm wire cut

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