Question

solve each equation. When needed write the exact answer with natural logs and then approximate the answer to three decimal places for parts (b) and (c) only.

a) 2^{1-x} = 3^{4x+6}

^{b}) log_{4}(x^{2} - 7x + 14) = 1

c) log_{3}(2x-7) - log_{3} (4x - 1) = 2

Answer #1

Determine whether the equation is exact. If it is exact, FIND
THE SOLUTION. If not write NOT EXACT.
A) (3x + 7) + (3y −
3)y' = 0
B) (7x2 − 2xy +
8) + (2y2 −
x2 + 7)y' = 0
C) (ex sin
y + 2y) − (2x
− ex sin
y)y' = 0
D) (y/x + 10x) + (lnx - 7) y' = 0 x>0

solve the exact equation
(7x+4y)dx+(4x+3y)dy=0
given -1<=x<=1,
-1<=y<=1
please explain details

Solve the following equations using step-by-step equational
reasoning, and list each step.
a) Solve the following equation for x ∈ ℤ/43ℤ: x2 ≡
25 (mod 43)
b) Solve the following equation for x ∈ ℤ/19ℤ: x2 ≡ 5
(mod 19)
c) Solve the following equation for x ∈ ℤ/55ℤ: x2 ≡ 1
(mod 55)
d) Solve the following equation for x ∈ ℤ/41ℤ: 3 * x2
≡ 7 (mod 41)
e) Solve the following equation for x ∈ ℤ/49ℤ: x2...

Answer each of the questions below. (a) Find an equation for the
tangent line to the graph of y = (2x + 1)(2x 2 − x − 1) at the
point where x = 1. (b) Suppose that f(x) is a function with f(130)
= 46 and f 0 (130) = 1. Estimate f(125.5). (c) Use linear
approximation to approximate √3 8.1 as follows. Let f(x) = √3 x.
The equation of the tangent line to f(x) at x =...

1. Find the quadratic product of each of the following
a) (x + 4)( x + 5)
=
b) (x – 4)(x – 5 )
=
c) (x – 4 )(x + 5)
=
d) (x + 4)( x – 5)
=
e) (x + 4)(x –
4)
=
2. Factorize the following
a) x2 – 4x –
12 =
b) x2 + 4x – 12
=
c) x² − 25
=
...

Each equation has one root. Use Newton’s Method to approximate
the root to eight correct
decimal places. (a) x3 = 2x + 2 (b) ex + x = 7 (c) ex + sin x =
4
**MUST BE DONE IN MATLAB AND NEED CODE

NO SOLUTION IS NEEDED. Please just give the answer. thanks!
The distance from the point (3, 2) to the line 3x 4y + 2 = 0
is:
(a) 19/25
(b) 3/5
(c) 3/25
(d) 19/5
(xii) The lines 2x 3y + 7 = 0 and 3x + 7y 2 = 0 meet at point
(a) ( 43/23, 25/23)
(b) ( 43/5, 139/35)
(c) ( 1/11, 25/77)
(d) (47/17, 107/119)
The derivative with respect to x of the function x2ex
is...

Each equation has one real root. Use Newton’s Method to
approximate the root to eight correct decimal places. (a) x5 + x =
1 (b) sin x = 6x + 5 (c) ln x + x2 = 3
**MUST BE DONE IN MATLABE AND SHOW CODE

NEED ANSWERS ASAP PLEASE
PROVIDE LETTERS ONLY
Part II. Multiple Choice:
Directions: Read each question carefully, and
then provide the answer that best fits the question.
1. What is the highest value of x that satisfies this equation
x(x+4) = -3
A. -1
B. 0
C. 1
D. -3
2. If x2 - 9x = -18, what are the possible values of
x?
A. -3 and -6
B. -3 and 6
C. 3 and -6
D. 3 and 6
3....

for 7-9 you will solve the following system of equation :
2x+3u+z=17 x-3y+2z=-8 5x-2y+3z=5 7) what is the solution for x? a)2
b)1 c)infinitely many solution d)no solution 8)what is the solution
for y? a)4 b)2 c)inifinitely many solutions d)no solution 9) what
is the solution for z? a)9 b)1 c)inifinitely many solutions d)no
solution

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