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
tigry1 [53]
3 years ago
7

What is the integral of -3x^3

Mathematics
1 answer:
Sati [7]3 years ago
6 0
\int -3x^3\, dx=-3\int x^3 \, dx=-3\cdot\dfrac{x^4}{4}+C=\dfrac{3x^4}{4}+C
You might be interested in
If your chances of losing the shell game if you randomly pick is 2 in 3. What are the chances that you would lose 5 games in a r
NISA [10]

Answer:

c

Step-by-step explanation:

4 0
2 years ago
Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 5 sin2 t, y = 5 cos2 t
rodikova [14]
\begin{cases}x(t)=5\sin2t\\y(t)=5\cos2t\end{cases}\implies\begin{cases}\frac{\mathrm dx}{\mathrm dt}=10\cos2t\\\frac{\mathrm dy}{\mathrm dt}=-10\sin2t\end{cases}

The distance traveled by the particle is given by the definite integral

\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

where C is the path of the particle. The distance is then

\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi
6 0
3 years ago
What is the axis of symmetry equation from f(x)=-x^(2)-6x
Sergeeva-Olga [200]

Answer:

  • \lim_{n \to \infty} a_n13

Step-by-step explanation:

6 0
3 years ago
An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create
neonofarm [45]

Answer:

The answer is 161.5

Step-by-step explanation:

Step-by-step explanation: The top half of the kite is 6 in times 17 in because 8.5 + 8.5 = 17 so its 102. Half of 102 is 51 so 51 is the area of the top half. The bottom half is 13 in times 17 in which equals 221. Half of 221 is  110.5. Then 110.5 + 51 = 161.5... So your answer is 161.5 square inches.

7 0
2 years ago
The number of text messages sent daily by a student is a poisson random variable with parameter λ=5 .in a class with 20 independ
Rudik [331]
This problem is a combination of the Poisson distribution and binomial distribution.

First, we need to find the probability of a single student sending less than 6 messages in a day, i.e.
P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
=0.006738+0.033690+0.084224+0.140374+0.175467+0.175467
= 0.615961

For ALL 20 students to send less than 6 messages, the probability is
P=C(20,20)*0.615961^20*(1-0.615961)^0
=6.18101*10^(-5)   or approximately
=0.00006181
7 0
3 years ago
Other questions:
  • Z=-302+19.3i<br> What is the real part of z ?<br> What is the imaginary part of z?
    12·1 answer
  • Find the equivalent expression to 3(4m-2) -2(m+5)
    15·1 answer
  • 3x² - 6x - 24 = 0<br> 0 4,-2<br> O 7.58,-1.58<br> O 2.65, 3<br> 0-30, 36
    10·1 answer
  • A pizzeria sells two types of pizza for lunch: pepperoni and cheese. The pepperoni pizza costs $8.50 and the cheese pizza costs
    5·1 answer
  • (6 Çarin has made a vase in clay that she will burn in an oven. The oven is heated with the vase in. When heating, the temperatu
    13·1 answer
  • Equivalent expression 5(2)=
    9·1 answer
  • Find the area of the shaded region:
    8·2 answers
  • Hello, i need help with this question
    11·1 answer
  • Joe Howard earns an annual gross pay of $955,520 as a
    12·1 answer
  • Choose an answer and tell me why you chose that :)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!