Question

Solve for f(x)= -4x^2 +24x - 11 using the complete the square method. Put answer in f(x)=a(x-h)^2+k

Answer #1

Use substitution to solve the indefinite integral.
a. ∫24x^2/3+4x^6 dx
b. ∫ 21dx/(7x+2)^4

Differentiate the function.
a) f(x) = x5 − 4x + 5
b) h(x) = (x − 5)(4x + 13)
c) B(y) = cy−9
d) A(s) = −14/s^5
e) y = square root/x (x-8)
f) y = 8x^2 + 2x + 6 / square root/x
g) g(u) = square root/6u + square root/5u
h) H(x) = (x + x^−1)^3

2. Solve the following systems of equations.
y=x^2−4x+4and2y=x+4
Group of answer choices
(4,4)
(12,94)and(4,4)
(94,12)
3. The axis of symmetry for f(x)=2x^2−3x+4 is x = k. What is the
value of k?
4. The horizontal asymptote for f(x)=3^x+8 is y = k. What is the
value of k?
5. For which equation is the solution set {3, 4}?
Group of answer choices
x^2−9x=16
x^2+3x+4
x^2−7x+12
6. Find the smaller root of the equation
Group of answer choices
-2
2
-4...

Find f.
f ''(x) = −2 + 24x −
12x2, f(0) =
2, f '(0) = 14

solve the equations
a). 4x-(-3x-3) =2x +1-1/2x+1
b) 8x-x^2=2 solvee by completing square
c) x-2x^2=5 solve by quadraticformula

1. Put the following function in the form P=P0ekt.
P=8(1.3)^t
P=11(1.3)^t
2. For f(x)=(4x−1)3, find the equation of the tangent
line at x=0 and x=2.

Find f. f ''(x) = −2 + 24x − 12x2, f(0) = 4, f '(0) = 14

2.
Use the method of Laplace transforms to solve the initial value
problem for x(t): x′′+4x=16, x(0)=0,x′(0)=6

Show that the derivative of f(x) = 6+4x^2 is f' (x)=8x by using
the definition of the derivative as the limit of a difference
quotient.

Consider the function f(x)=6x^2−4x+11, on the interval
, 0≤x≤10.
The absolute maximum of f(x) on the given interval is at x =
The absolute minimum of f(x) on the given interval is at x =

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