4 6.

Q: Find particular solution of given ODE.

A: Given:

Q: Indefinite integrals Compute the indefinite integral of the following function.

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible out...

Q: In Exercises 33–46, find the derivative.

A: According to the question,we have to find the derivative of y=arctan x3 or it can be written as y=ta...

Q: A square with side length a is inscribed inside a circle. Denote by S the area of the region inside ...

A: Given,            A square with side length a is inscribed inside a circle. Denote by S the area of ...

Q: a.Find the solution of the given initial value problem in explicit form. b.Plot the graph of the sol...

A: a. The given differential equation is sin2xdx+cos3ydy=0,     yπ2=π3. Solve as follows. sin2xdx+cos3y...

Q: Determine whether the statement is true or false. dr is convergent.

A:

Q: 16-

A:

Q: Use the information about functions and their derivatives at x = 6 to find the derivative of their p...

A:

Q: Which are the three Boolean operations?

A:

Q: Q30. Please include any notes about each step

A:

Q: Please help with the image below. Please show work.

A: Given  The parent function, fx=x2 To obtain the given function gx=-x2+3 Step 1: Take the reflection ...

Q: Find the velocity of a particle when  S = t2 + 3t - 4 at t = 1 sec

A:

Q: Differentiate the function. P(w) =  (2w2 − 4w + 6)/sqrt of w

A:

Q: b Note: Triangle may not be drawn to scale. Suppose a = 3 and b = 7.

A:

Q: Explain it early and correctly.

A: The given differential equation is y''-6xy'-8x2y=0. Let y=xr. This gives  y'=rxr-1     and   y''=rr-...

Q: Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places : lo...

A: Evaluate: log5(13)

Q: Calculus Question

A:

Q: b) 3x(x-リを(x+2置6x-度(税)

A:

Q: A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The f...

A: Given, The rectangular area of the two separate regions. Let 'x' be the length and 'y' be the width ...

Q: Set up the integral used to find the length of the curve  y = sqrt(1 - x5) on the interval − 1/4 ≤ x...

A: The length of a curve y=fx over the interval a,bis given by the formula, L=∫ab1+dydx2dx  

Q: Differentiate the function y=xcosx  and y=(x+1)e2x.

A:

Q: - xS-1 5) Graph f(x) = 1+x x >-1

A:

Q: Evaluate the definite integral.

A:

Q: n = 5: Show that 1 + 2 + 3 + 4 + 5 = 5(5 + 1)/2.

A: we know that 1+2+3+4+5 is sum of first five natural numbers and sum of first n natural number is giv...

Q: What are the derivatives of the inverse trigonometric functions? How do the domains of the derivativ...

A: To find the derivatives of inverse trignometric function and compare the domain of the function with...

Q: Set up an integral for the area of the surface generated by revolving the given curve about the indi...

A: Given Data: The expression of the revolving curve is: y = cos x. The lower lit of the curvature is:...

Q: Intersection Points of Two Polynomials (a) On the same coordinate axes, sketch graphs (as accu- rate...

A: Given: y=x3-2x2-x+2 & y=-x2+5x+2To determine:a) Graph of both functionsb) At how many points do ...

Q: A volume is described as follows:1.  the base is the region bounded by x=−y^2+6y+110 and x=y^2−26y+1...

A: Given Data: The diameter of the semi circle is,  

Q: 22. [-/1 Points] DETAILS SCALCET9 3.1.071. Find a second-degree polynomial P such that P(1) = 3, P'(...

A:

Q: Find the derivative of the following function. 8x +1 h(x) = X +7

A:

Q: Find the volume of the solid described below: The base area is the region bounded by the graphs of y...

A: Given data: *The base area is the region bounded by the graphs, y=x=S1y=18x2=S2 *The cross sectional...

Q: Consider the graphs of equations of the quadratic form = ax² + bx + c that have two x-intercepts. Le...

A: First, we will plot the graph of quadratic equation ax2+bx+c=0.    Axis of parabola i.e. axis of sy...

Q: First-order linear equations Find the general solution of the following equation. y '(x) = -y + 2

A: Given that, y'(x)=-y+2

Q: A particle moves from point A = (-1, –4) to point B = (-9, -6) in 2 hours at a constant rate. The co...

A:

Q: The bar graph shows online ad spending worldwide, in billions of dollars, from 2010 through 2015. De...

A: The bar graph shows online ad spending worldwide, in billions of dollars, from 2010 through 2015. gr...

Q: Find the length of the curve. (2^(1/2)) t i + et j + e−t k,     0 ≤ t ≤ 9

A: Given curve is rt=2t i+etj+e-tk , where 0≤t≤9 Differentiating the given curve with respect to t,we g...

Q: Use the four-step procedure for solving variation problems to solve: The heat loss of a glass window...

A: Concept: The temperature of two systems is the same when the systems are in thermal equilibrium, phy...

Q: Do not integrate! Choose the best choice to set u.

A: Part a∫ln(x)x dxHere, we will substitute ln(x) =t then 1xdx=dt∴∫ln(x)x dx=∫t dtPart b∫31+2x  dxHere,...

Q: Use traces to sketch the graph of the function y = x^2+z^2. For each variable,sketch the traces seen...

A: By using traces to sketch the graph of the function y=x2+z2. and for each variable sketch the traces...

Q: A population of rabbits oscillates 18 above and below an average of 136 during the year, hitting the...

A:

Q: 42. A painter measures the height of an irregularly shaped wall that is 35 ft long. The height of th...

A: Given a wall is 35ft long.  The height of wall measured along base for every 5ft since the height is...

Q: Calculus Question

A: The given function is fx=3x46x2-1   product rule f·g'=f'·g+f·g'

Q: The number of CDs per hour that Snappy Hardware can manufacture at its plant is given by P=w0.6b0.4 ...

A: The number of CDs per hour manufactured by Snappy Hardware is given as: p=w0.6b0.4 where, w is the n...

Q: Find the volume of the solid generated by revolving the region bounded by x = y 2 2 , x = 0 , y = − ...

A: to find volume of solid x=y2, x=0, y=2, y=-2 about y axis  

Q: U-Substitution!

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.