Billy-Sean O'Hagan has been using the company servers for his (classified) student intern work at Brain Cybernetics, and the bandwidth he is using has been growing exponentially, following the model q(t) = 5.8e0.1t + 3.3 terabytes per month, where t is time in months since the beginning of the year.   Calculate      q(t) dt. (Use C for the constant of integration.)      q(t) dt =   B.) What is the total bandwidth consumed Q(t) to time t given that Billy-Sean's internship started at the beginning of January? Q(t) =

Q: - Evaluate the indefinite integral as an infinite series, i.e., a power series. e 1 dx -

A: We have to find given integral. 

Q: Write the exponential equation as a logarithmic equation or vice versa. 1 lo94 16 (a) = -2 (b) 161/2...

A: Exponential and logrithmic equation are written.

Q: Find the volume. Round to the nearest hundredth. (Show your work! Circle your final answer.) 9) 10 m...

A:

Q: You are skiing down a mountain with a vertical height of 550 feet. The distance from the top of the ...

A: to find :-  Angle of elevation. concept :- Right angle triangle property.

Q: Plz solve step by step

A:

Q: Abs. Max and Min. Give clear steps and explanations

A:

Q: please sole this problem thank youuu

A:

Q: A population of insects currently numbers 22,100 and is increasing at a rate of  R(t) = 1237e0.15t i...

A:

Q: 37. (1 + /9 – æ²) dæ -3 Answer 9 3+ 4

A: sin-1(0) = 0 sin-1(-1) = -π2

Q: Use a third degree Taylor Polynomial to approximate the sin(0.5) O a. 23 48 (0.5)3. (0.5)5 b. (0.5) ...

A:

Q: Which of the following improper integrals converge? Justify your answers. I e* sin(e") dz 1. sin() d...

A: 1. The given integral is ∫0∞ ex sinex dx. This implies that, ∫0∞ ex sinex dx=∫0∞  sinex  dex=-cosex0...

Q: Find the area of the region. f(x) = 16 − x2 The x y-coordinate plane is given. There is 1 curve an...

A: Given,   f(x)=16-x2

Q: f(x) = 8x² In(x), ¤ > 0. (A) List all the critical values of f(x). Note: If there are no critical va...

A: You have posted multiple subparts. As per the instruction, we will be answering only the first three...

Q: Determine whether each sequence converges or diverges, and if it converges find it's limit.

A: Given that: an=nn+1+nn-1  for n≥2. Let , take the term in 'x' and then we will find the integration....

Q: Find the measure of theta to the nearest degree. C. 13cm 9.4cm 7cm Theta= degrees --.-

A:

Q: Please help thanks

A:

Q: show your work

A: Ratio test

Q: Q#5.

A:

Q: 10. Find f and then f: f"(x) = a - 20, f'(1) = 0, ƒ(1) = 2 %3D

A: Given f''(x) = x3 - 2xalso f'(1) = 0    f(1) = 2

Q: 4x2 f(x) x² – 25 (c) Calculate the second derivative of f. Find where fis concave up, concave down, ...

A:

Q: Q1:- Find the first order derivative of each of the following functions: e) y = 1 + x'nx

A: Given that y = 1 + xlnx . We find its first derivative. We know that d(xn )  /dx = nxn-1  Here i att...

Q: Look for the dy/dx

A: Given equation is y=log2sin5x3

Q: 1. a. 10 b. 5 c. 0 d. None of these 2. a. 5 b. 10 c. -10 d. None of these 3. a. 5 b. 10 c. -10 d. No...

A: Fundamental Theorems of Calculus : If f is continuous on the closed interval [a, b] and F is the ant...

Q: EXAMPLE 3 A wire takes the shape of a semicircle x² + y2 = 49, y 0, and is thicker near its base tha...

A:

Q: The gross tonnage G is a standardized measure of a ship's capacity. It is calculated in terms of the...

A: The volume of gross tonnage is given by formula G = V(0.2 + 0.02 log V) To find:  a) The gross tonna...

Q: Inverse Trigonometric Function Determine the derivative of the function.

A:

Q: A] Find the length of the arc of the semi-cubical parabola y2 x (1,1) and (5,5V5). 8250 between the ...

A: Solution:Given        y2=x3    between the points (1,1) and (5,55)To find the Arc length:Formula:Arc...

Q: The cost, in dollars, of producing x units of a certain item is given by C(x)=20x-4√(x-3). Find the ...

A:

Q: Integrate :

A:

Q: Find the root of the equation x ^ 3 + x-1 = 0 at the interval [0,1] by fixed point iteration. Do the...

A:

Q: Find all critical points and the extreme values of the function  f(x) = 2x3 − 9x2 + 12x  on the inte...

A:

Q: What is the equation of the drawn parabola? Notice that the green dot near the "f " marks the locati...

A: We can draw graph 

Q: Prove that for all x € [1, 00), – sinh (- |cosh'(x)|) = V -1. %3D Ouest!

A: Proving of function  sinh(cos-1(x))

Q: Please help me answer these problems.  Thank you!

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: Find all values of c that satisfy the conclusion of the Mean Value Theorem on the given interval, [-...

A:

Q: Find the area bounded by the curve given by f(x) = -x² – x + 2 and the x-axis on the interval [–2, 1...

A: Given. Area bounded by the curve. f(x) = -x²-x+2 Y = 0 -2<x<1 To solve this we need to use int...

Q: 45 . 15 28 75 Assume the position of a person traveling along a straight hiking trail is given by th...

A:

Q: : Find the general solution for the following differential equations:

A:

Q: please help q7

A:

Q: Calculate the Riemann sum R(f, P, C) for the function, partition, and sample points. f(x) = x, P = [...

A:

Q: Consider the function f (x) = 3 sin (x) – 2. Find the exact value(s) of C in the interval [0, T| suc...

A: We have to find value of c. 

Q: Find the quantity if v = 6i - 5j and w = -5i + 2j. 5v + 6w 5v + 6w = (Simplify your answer. Type you...

A: Use the basic concept of vector addition and multiplication of scaler with vector.

Q: Use power series operations to find the Taylor series at r =0 for the function r sin r. %3D Edit Vio...

A: To find the taylor series of the function

Q: Find the general solution of the following differential equations

A:

Q: The rectangular coordinates of a point are given. Find polar coordinates (r,0) of this point with 0 ...

A:

Q: Evaluate the definite integral by interpreting it in terms of areas. 8 | (2x – 14)dr 12

A:

Q: Find a power series representation for f(x) = x³ arctan(x2). Be sure to justify all your work, inclu...

A:

Q: If 3 f(2)dz = f(z)dr + f(x)dr –1, f(2)de, 3. what are the bounds of integration for the first integr...

A: We have to find a and b

Q: Determine whether the given series converges or diverges. State which test you used to reach your co...

A:

Q: A company's marginal cost function is given by: MC(x)=6e−0.02xMC(x)=6e−0.02x   where x is the number...

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.