1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tensa zangetsu [6.8K]
2 years ago
6

Point A is located at (3, 4) and is rotated 90° counterclockwise about the origin. The new location, point A’, is (-4, 3).

Mathematics
1 answer:
Nana76 [90]2 years ago
8 0
True. The <span>90° counterclockwise rule is (x,y) -> (-y,x)</span>
You might be interested in
In the equation Y+8=2 what does y=?
Jet001 [13]
Y = -6 hope this helps
5 0
3 years ago
22
mina [271]

Answer:

b

Step-by-step explanation:

3 0
2 years ago
Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n
aliya0001 [1]

Answer:

f(x)=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}

Step-by-step explanation:

The Maclaurin series of a function f(x) is the Taylor series of the function of the series around zero which is given by

f(x)=f(0)+f^{\prime}(0)x+f^{\prime \prime}(0)\dfrac{x^2}{2!}+ ...+f^{(n)}(0)\dfrac{x^n}{n!}+...

We first compute the n-th derivative of f(x)=\ln(1+2x), note that

f^{\prime}(x)= 2 \cdot (1+2x)^{-1}\\f^{\prime \prime}(x)= 2^2\cdot (-1) \cdot (1+2x)^{-2}\\f^{\prime \prime}(x)= 2^3\cdot (-1)^2\cdot 2 \cdot (1+2x)^{-3}\\...\\\\f^{n}(x)= 2^n\cdot (-1)^{(n-1)}\cdot (n-1)! \cdot (1+2x)^{-n}\\

Now, if we compute the n-th derivative at 0 we get

f(0)=\ln(1+2\cdot 0)=\ln(1)=0\\\\f^{\prime}(0)=2 \cdot 1 =2\\\\f^{(2)}(0)=2^{2}\cdot(-1)\\\\f^{(3)}(0)=2^{3}\cdot (-1)^2\cdot 2\\\\...\\\\f^{(n)}(0)=2^n\cdot(-1)^{(n-1)}\cdot (n-1)!

and so the Maclaurin series for f(x)=ln(1+2x) is given by

f(x)=0+2x-2^2\dfrac{x^2}{2!}+2^3\cdot 2! \dfrac{x^3}{3!}+...+(-1)^{(n-1)}(n-1)!\cdot 2^n\dfrac{x^n}{n!}+...\\\\= 0 + 2x -2^2  \dfrac{x^2}{2!}+2^3\dfrac{x^3}{3!}+...+(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}+...\\\\=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^n\dfrac{x^n}{n}

3 0
2 years ago
PLEASE HELP!!!
Pachacha [2.7K]
1. AB 3-2/-1-1
-1/2
BC 2+1/1+3
3/4
AC 3+1/-1+3
4/2=2
It is a right triangle


2. JK -1-2/4+3
-3/7
LM -2+5/-5-2
-3/7
KL -1+5/4-2
<u>4/2=2</u>
JM 2+2/-3+5
<u>4/2=2
</u><u />The quadrilateral is a parallelogram
5 0
3 years ago
What is 1.9 million plus 8.7 million?<br><br> Thanks so much!!!!!
Tju [1.3M]
The answer is ten million six hundred thousand.
7 0
2 years ago
Read 2 more answers
Other questions:
  • What are the solutions of the equation?
    9·1 answer
  • 22 1/2 percent to a fraction
    6·1 answer
  • Please Help: Solve for x<br><br> x + 11 = 5x - 5
    5·2 answers
  • Which shaded region is the solution to this system of inequalities?
    15·2 answers
  • I need help Idk this one
    12·1 answer
  • What is the volume of the cube below?<br> A. 4x2<br> B. 16<br> C. 4x<br> D. 16x2
    11·2 answers
  • Two different red-light-running signal systems were installed at various intersection locations with the goal of reducing angle-
    6·1 answer
  • Math practice <br> Will give brainest if correct
    6·1 answer
  • Question 2<br> What is the y-intercept in the equation y = 4x - 3?<br> 4<br> 0<br> 3
    7·1 answer
  • Help for brainiest asap pleaseeeeee
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!