In Problems 53 - 56 , (A) Graph f and g in the same coordinate system . (B) Solve f x = g x algebraically to two decimal places. (C) Solve f x > g x using parts A and B (D) Solve f x < g x using parts A and B f x = − 0.9 x 2 + 7.2 x g x = 1.2 x + 5.5 0 ≤ x ≤ 8
In Problems 53 - 56 , (A) Graph f and g in the same coordinate system . (B) Solve f x = g x algebraically to two decimal places. (C) Solve f x > g x using parts A and B (D) Solve f x < g x using parts A and B f x = − 0.9 x 2 + 7.2 x g x = 1.2 x + 5.5 0 ≤ x ≤ 8
Solution Summary: The author compares the functions f(x)=-0.9x 2+7.2x and
(B) Solve
f
x
=
g
x
algebraically to two decimal places.
(C) Solve
f
x
>
g
x
using parts
A
and
B
(D) Solve
f
x
<
g
x
using parts
A
and
B
f
x
=
−
0.9
x
2
+
7.2
x
g
x
=
1.2
x
+
5.5
0
≤
x
≤
8
Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
The following are suggested designs for group sequential studies. Using PROCSEQDESIGN, provide the following for the design O’Brien Fleming and Pocock.• The critical boundary values for each analysis of the data• The expected sample sizes at each interim analysisAssume the standardized Z score method for calculating boundaries.Investigators are evaluating the success rate of a novel drug for treating a certain type ofbacterial wound infection. Since no existing treatment exists, they have planned a one-armstudy. They wish to test whether the success rate of the drug is better than 50%, whichthey have defined as the null success rate. Preliminary testing has estimated the successrate of the drug at 55%. The investigators are eager to get the drug into production andwould like to plan for 9 interim analyses (10 analyzes in total) of the data. Assume thesignificance level is 5% and power is 90%.Besides, draw a combined boundary plot (OBF, POC, and HP)
4. Solve the system of equations and express your solution using vectors.
2x1 +5x2+x3 + 3x4 = 9
-x2+x3 + x4 = 1
-x1-6x2+3x3 + 2x4
= -1
3. Simplify the matrix expression
A(A-B) - (A+B)B-2(A - B)2 + (A + B) 2
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