3. Eliminate the arbitrary constants by isolation of constant y = x + C₁e* + С₂e-²x

Q: A large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt is dissolved.…

A:

Q: Suppose that F(x) is a power series with radius of convergence R = 12. Which of the following is…

A: Here, given that F(x) is the power series with the radius of convergence R=12. Therefore, the…

Q: Determine if the series converges or diverges. If it converges, give its sum. 32n 53n+2 n=0 A.…

A:

Q: Find the derivative of fx Fx =(6square root x -2) (4 square root x +7)

A: Concept: Differentiation of function: A function's differentiation is a way to visualize the rate of…

Q: (x - 2)² + (y + 2)² = 8 The polar equation of the Cartesian equation r = 4r cos 0 - 4r sin 0 - A r =…

A: We need to find polar equation.

Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

A:

Q: Find the derivative f(x) = |x-21= X-2 -(x-2) ×22 x 22

A: To find the derivative and then to evaluate each intervals with derivate.fx=x-2=x-2,  x≥2-x-2,…

Q: Using the series ratio test 47 Σ=1 = 1 3n+1 L>1 -A L<1 -Β I = 1 -C not of above- D

A: Given :∑n=1∞4n3n+1

Q: If h(x) = x(2x + 7) 4(x - 1)², find h'(-3).

A:

Q: Find the measure of each angle indicated. Round to the nearest tenth. 2) 1) 12 13 HEMMUZ HAVA TOM T…

A: As per bartleby guidelines we only give three subpart question answers. Please repost for other…

Q: Use either form of Green's Theorem to evaluate the following line integral. $9x²1² 6 C $9x³y² dx +…

A:

Q: OAATTAM ni 9Tuoy casinu Find the measure of each side indicated. Round to the nearest tenth. 9) B…

A: As per bartleby guidelines we only give three subpart question answer. Please repost for other…

Q: Q3/Solve the differential equation (0²2 - 2x + 5 = e²xsinx)

A:

Q: (-1,4) onto the Question 2. Calculate the projection of the vector u = vector v = (-4,2). Also draw…

A: Projection of a vector on other vector

Q: If you apply the direct comparison test to assess convergence of 1 to which of these series would…

A:

Q: Q1/ A: Find: 1 1 L-1 55+4 53 2S-18 $²49 + 24-30 √S 54 2- L (t² cos at)

A: As per bartleby guidelines we only give first question answers.

Q: Determine the least upper bou You must fully justify your an

A: We have to find least upper bound of the given set

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

A:

Q: Q4/A: Find Fourier Series of the Function: f(x) = {- K (-K -<x<0 к 0 < x < n B: Solve the following…

A:

Q: Sketch a graph of f(x) 5 4 3 2 1 -5 -4 -3 -2 -1 Clear All Draw: -1 -2 -3 -4 -5 = 1 3 - 2x - - 1 if x…

A:

Q: The light intensity on a point is given 1()=5 ²+2/+16 1+2 Find the minimal intensity and the time at…

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. x…

A:

Q: Find the value of the following derivation y = x ln x sin x

A: use the product rule for finding the derivative.

Q: Find an explicit solution of the given initial-value problem. dx dt 8(x² + 1), ×(Z) = 1 4

A:

Q: A combination lock opens with the correct 5 digit code. Each wheel rotates through the digits 1 to…

A:

Q: Find the area of the region between the curves  y= x2 − 4 and y= 2 − x.

A:

Q: If it was f(x,y) = ln(xy) + tan(xy) so Fxy

A:

Q: (-2+2√3)³

A:

Q: Determine if the sequence converges or diverges. If it converges, state the limit. an nsin = in 1.²1…

A:

Q: 4. Find the derivative of f(x) = 7. A. 7 B. 0 5. What is the derivative of In(x)? B. 1/x A. xin(x)…

A: Let's find derivative of both questions.

Q: If sin t =1/ 5, and tt is in quadrant I, find the exact value of sin(2 t), cos (2 t), and tan(2 t)…

A:

Q: Q/ifituus fix) = [2014 -2x² +3 if x3 The value of (A) which makes the Function Continuous ? A A = 12…

A:

Q: The radioactive isotope of lead, Pb-209, decays at a rate proport lead to decay? (Round your answer…

A: Let  at time t amount of radioactive istope is  A(t)

Q: Problem Solving 1. Consider the function y-3cosx-2x]-1. a. What is the amplitude of the function? b.…

A:

Q: 1. Find a potential function for the vector fields a) b)

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Find the Fourier series to represent the function f(x) given by: -1 for f(x) = 0 for +1 for EINEIN -…

A: Given : f(x)=-1 for -pi&lt;x&lt;-pi/2 f(x)=0 for -pi/2&lt;x&lt;pi/2 f(x)=1 for pi/2&lt;x&lt;pi

Q: Part 2. Solutions to Some First Order DE. Solve the following DE: (x-1)² y+3 y(3) = -1 2. y' = y

A: A detailed solution is given below.

Q: Find the second derivative of fx Fx= -4/square root x + 4x3

A:

Q: Consider the following homogeneous differential equation. y dx = 2(x + y) dy Use the substitution x…

A:

Q: Solve the system by inverting the coefficient matrix and using the following theorem: If A is an…

A:

Q: The equation (y")^2 + (y')^5 - 7 = 0 is Nonlinear homogeneous linear homogeneous O Nonlinear non…

A:

Q: State the order of the given ordinary differential equation. (sin 8)y"" - (cos 8)y' = 7 Determine…

A:

Q: (x(t) = sin t ly(t) = sin 2t

A:

Q: find the volume in the first octant under the plane z=y and inside the cylinder y²=4-x.

A: Given that, the cylinder is y2=4-x and the plane is z=y. y2=4-xy=±4-x Note that, the volume is in…

Q: Find the area of the region enclosed by the functions. 6 3 y=x and y = 8x

A:

Q: The count in a bacteria culture was 200 after 10 minutes and 1700 after 30 minutes. Assuming the…

A:

Q: A tank contains 240 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

A:

Q: f(x) = x²+6x+5 2-1

A: I am attaching image so that you understand each and every step.

Q: In the following exercises, integrate using the indicated substitution. 361. 1. / 3 / + 1 dy; dy; u…

A:

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

A: