Which of the following are solutions to the following differential equation. xy + y = x lnx;_y(1) = 0 Check ALL that apply. C Y 1 = (natr -(x ln x + 1 y = y = 1 Oy=2(²-2+3) x(lnx 1 2 1 x(lnx + -x ln x 1 2 X 1 1 1 2x² 1 =x+ 4 T 1 2x 1 12/2) 1 4x

Q: 1 se sec4 x tan x dx

A:

Q: Find the Taylor polynomial of degree 3 of the function f(x) = arctan(9x) at a = 0. T3(x) = ||

A: f(x)=arctan(9x), a=0

Q: Thank you but I believe you are missing the square in the question the question is (4x^2 +3)^2 dx

A:

Q: Find the slope of the line tangent to the polar curve at the given point. 7x (-3- r= 6 sin 0; Select…

A:

Q: Find T 1 = -1 wwwman x² dx + C

A:

Q: Convert the point with cylindrical coordinates 11π 13, 5 to Cartesian coordinates. Enter your answer…

A:

Q: Let g(z) = √√23 Determine the most general antiderivative of 9. | √dz = [

A:

Q: Find the volume of the solid generated when the shaded area is revolved about y = -1. y y = 2x y=x²…

A: To find the volume of the solid generated when the shaded area is revolved about .

Q: 7. Apply the test for divergence to each infinite series given below. Then using at least one…

A: Given:To Find: To apply the test for divergence, for each of the given series. Then to explain the…

Q: Express your answer as a polynomial in standard form. f(x)= x - 1 2 g(x) = 3x² - 4x – 12 Find:…

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: The objective of this question is to find the critical numbers of the given function f(x) = 12x -…

Q: The total revenue for a product can be calculated as the area under the demand curve. Suppose that…

A:

Q: (– ²/6) has exactly one point of inflection with a positive x-coordinate. What is the x-coordinate…

A: The given function is .The aim is to find the point of inflection.Definition:If  is an inflection…

Q: The position of an object in circular motion is modeled by the parametric equations x = 9 sin(2t) y…

A: Note: Due to guidelines, I can solve only first 3 sub parts.

Q: Suppose that lim f(x) = 10 and lim g(x) = -4. Find the following limits. X-3 X-3 a. lim [f(x)g(x)]…

A: According to the guide line we do only the first three parts of multiple part questions.

Q: 5. If A = (611). 0 then eª = e e (8 €) e

A: A=

Q: r = sin(20), r = cos(20)

A: Given that the polar curve

Q: 06

A:

Q: Find the unit tangent vector to the curve at the specified value of the paramet r(t) = t³i + 3t²j, t…

A: The given equation of curve

Q: Let sin A = -1/sqrt10 with A in QIII and tanB = 3/4 with B in QI. Answer exactly. Find tan (A+B) and…

A:

Q: Suppose that we're making and selling some widget and the cost (in dollars) when making a widgets is…

A:

Q: Consider the triangle below (not drawn to scale). ہے a= a Let b = 9, ZC = 40° and /A = 45°. Find the…

A:

Q: Consider the functions f(x) = 6 arcsin (6x) g(r)= 12arctan (a) Find the derivatives of f(x) and…

A:

Q: Evaluate the following: lim In(e+h)-in e

A: To evaluate the following limit.

Q: 6. Find the equation of the line tangent to the following functions ate the given points. a. y = x²…

A:

Q: Compute the curl ∇ ✕ F of the vector field. F =

A:

Q: Given f is concave down and ƒ (4) = −2 and f1 (4) = 3. What is the estimate for = 4? Is it an…

A:

Q: Suppose Find the product AB. AB= Find the product BA. BA= -9 - [3] and 9 A = and B = help (matrices)…

A:

Q: Find the second derivative of the following functions: a. f(x) = x5 + sin x b. f(x) = x² + == x c.…

A:

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. M8 Σ…

A:

Q: Air freshener A has a mass of 42 grams when opened and its mass decreases by 4.2 grams each day. Air…

A: The mass of the Freshener a=42 gmIf opened in the air decreases to  4.2% per dayThis means the decay…

Q: Given the parametric equations Compute the derivative dy/dx as a function of t. -t³, y = 6-3t x =…

A:

Q: Use the Ratio Test to determine the convergence of the following series. 8 Σ(-1)n+1 n=1 5 nn n!

A:

Q: Suppose value of [ f(x)dx 2 f(x)dx. f(x) dx = -1, [**f(x)dx = 4 and [ f(x)dx = 2. Find the

A:

Q: Let f(x) = x if x ≥ 5 5 if x < 5 a. Find f(1), f(5), and f(7). b. Sketch the graph of y = f(x).

A:

Q: 1. The general solution of the system [x' = y, y' is given by x(t) = C₁ cost + C₂ sint, y(t) = C₁…

A: x'= y..........(1)y'= -x.........(2)

Q: Evaluate in Cylindrical Coordinates D bounded by z= x² + y² and the plane z = 1 ff zdxdydz stealevi

A:

Q: Find the area of the region bounded by the graph of f(X) = Sin X and the X axis on the interval [-2…

A: Given:

Q: The cost for producing a thousand widgets is given by C(x) = 0.06x4 - 2x³ + 14x² + 400x, 0 ≤ x ≤ 60.…

A:

Q: A tall pipe is 30 feet tall. A person with a height of 6 feet walks away from the pipe along a…

A:

Q: Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = 4zi +…

A: We have to find the flux of the curl of the field F using surface integral in Stoke's Theorem.Given…

Q: Evaluate the following limits algebraically. 2. lim x---> 2^-      (x+4) / (x^2 + 2x - 8) 4. lim…

A: To evaluate the following limits.

Q: Breathing is cyclic and a full respiratory cycle from the beginning of inhalation (t =0) to the end…

A:

Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(-1). f(x)= x +5 g(x) = 2x² +…

A: The given function is .The aim is to find the .

Q: The figure below shows the graph of a function over the closed interval [-1,2] y = f(x) OU

A: As we can see from the graph, the function has a very sharp turn at x=0So at x=0, the function is…

Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

A: I have appended the formula used in the solution procedure

Q: 1. Solve the system of equations 7₁-272 +373 2₁-22 +22 271-72 +373 b₁. b₂. ba

A:

Q: When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium…

A:

Q: Sketch the graph of the piecewise-defined function. Write the domain and range of the function. |x,…

A:

Q: Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function.…

A: Horizontal asymptotes of the rational function:Vertical asymptotes of the rational function: The…