Question 9 Determine whether the DE has homogeneous coefficients. If so, find the implicit solution. (y² + 7xy + 16x²) dx + x²dy=0; x = 1, y=1 Ox-y=5(y + 4x) Inx Oy-x=5(y + 4x) Inx Ox-y=5(y-4x) Inx O x+y=5(y + 4x) Inx

Q: Evaluate f 5x√3+25x² Show ALL work clearly. If using the table of integrals for this problem, be…

A: Concept: Integrating the components into the whole is the process of integration. In the integral…

Q: Find the limit 13 a) lim x-3 X+3 2 x 9 c) lim X->0 3-) 2 b) lim (6x² - 6 cos x) = 17² ? X->0 2 5 COS…

A:

Q: Find the volume of the solid obtained by revolving the region in the first quadrant bounded by y =…

A:

Q: Use algebra to evaluate the limit. (1 + h)² − (1 − h)² 2h lim h→0 i |

A:

Q: 2. If r(t) = ti + cos(t)j + sin(t)k, evaluate (a) frit r(t) dt, (b) r' (t) (c) the parametric…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Evaluate f(x+3) when f(x)=x²-3x+4 (Be sure to simplify your answer)

A: Topic = Function

Q: Determine whether the integral is convergent or divergent. [. ; 00 73 x(In(x))³ convergent divergent…

A:

Q: Find the derivative of the function. J(0) = tan² (ne)

A:

Q: The graph of f(x)=-2x² + x²-2 is shown below. Use the tools to graph the line tangent to f(x)…

A: Given curve equation:- fx=-2x3+x2-2

Q: Af(x) X

A:

Q: Suppose f(t) 9t -t+9 Evaluate: lim f(t) = Question Help: Video Written Exam

A:

Q: 5. Radioactive decay. Gold-198 has a decay rate of 25.72% per day. The rate of change of an amount N…

A: This is a problem related to integration of the function. Please follow the procedure given below.…

Q: (-1)" n=0 6n

A:

Q: [4x 4xe³dx = + C

A: B=∫4xe3xdx∫xndx=xn+1n+1+c∫eaxdx=eaxa+c∫(a.b)dx=a∫bdx-∫(d dx(a)×∫bdx)dx

Q: Let u =(3, 1). Find the component form and magnitude (length) of the vector 5u. The component form…

A: u=<3,-1>

Q: Evaluate the integral. ثر (² 10 25+₁² dr

A:

Q: If f(t) is continuous for t > 0, the Laplace Transform of f is the function F defined by = 50° F…

A:

Q: {} n+1 •n=1

A:

Q: 2. Let f(x,y) = x2 + y xy³ (a) 0 (b) 1 (c)-1 (d) 1/2 (e) Does not exist. Find lim (x,y) →(0,0) f(x,…

A:

Q: Evaluate the integral. 29 fe 9s √s ds ds =

A:

Q: Let f(x) = 5x2-3x and g(x)=6x+5. Find f[g(k)]. f[g(k)]= (Type an expression using k as the…

A:

Q: Let A = 6.1 ag - 2.5ẩn and B = -2.9 ấg + 4ẩn given the unit vectors âg=0.60 +0.8ây and ân =0.8ân –…

A: GivenA→=6.1ag^-2.5ah^B→=-2.9ag^+4ah^ag^=0.6ax^+0.8ay^ah^=0.8ax^-0.6az^   We are required to…

Q: Consider f(x,y)=39−x2−y2, and let z=f(x,y). What is the z=9 level curve?

A: Given function:- fx,y=39-x2-y2

Q: d the indefinite integral. Remember to include a "+ C" if appropriate. Close arguments of functions…

A: Given query is to find the integral.

Q: Given the equation y = 4 cos (7x - 21) + 6 The amplitude is: The period is: The horizontal shift is:…

A:

Q: Evaluate cos¹ (5x) sin(5x)dx + C

A:

Q: Evaluate the integral: 2³√4 x³√4 - x²dx

A:

Q: It did not accept 824.77 as the answer

A:

Q: Find the velocity and acceleration vectors in terms of u, and up. r= a cos 30 and V= de dt v=4₁ + ¹₂…

A:

Q: Determine the points at which the function f to the right has discontinuities. For each point state…

A: Condition of continuity1. fa is defined2. limx→afx exists3. limx→afx=fa

Q: wrong equation???

A:

Q: dy The general first order linear equation can be written in the standard form+p(t)y=g(t). The…

A:

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A:

Q: Evaluate the integral 4 sec (4x) (4 sec (4x) tan (4x))dx. Se4 sec 4 sec (4x) (4 sec (4x) tan (4x))dx…

A:

Q: The graph of y = f(x) is given below. Answer each of the questions below the graph. 10+ -9 -8 -7 16…

A:

Q: Find the centroid of the thin plate bounded by the graphs of g(x)=x² and f(x) = -x +110. Use the…

A:

Q: dy dt Given y' + 2ty=2te-2, p (t) = 21 and hence the integrating factor is µ(1) = e 21 ore ¹². Given…

A: The given differential equation is: y'+2ty=2te-2t

Q: Find the volume of the shape created by rotating the region between sin x and cos x from [0,pi/4]…

A:

Q: 2. Prove that there is some positive number such that 07-20+ sin(0² + 1) = √5. Your proof mus quote…

A:

Q: f(x, y) = x² + xy + y² + 2y

A:

Q: Estimate the value of the limit (if it exists) by evaluating the function at the given numbers. (It…

A:

Q: K Find the unit tangent vector of the given curve. r(t) = 3t³i-12t³j+ 4t³ k 3 OA. T(t)= 1 13 3 OB.…

A: Option (B) is correct answer  For detail go through the solution I have solved step by step in…

Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. Co= C1 = C₂= C3=…

A: Given function:- fx=sinx

Q: Find volume of the solid of the region between y = x^3 and y = x^2 for [0,1] when rotated around y…

A:

Q: Find c such that the function x ≤ c [x² - 8 10x 33 x>c f(x) = is continuous everywhere. C = с

A:

Q: The area of a triangle with sides of lengths a and b containing angle theta is = 1/2absin(theta).…

A:

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A:

Q: Question Suppose that a revenue function is given by R(x) = e(x² - 1). 4 Calculate the marginal…

A:

Q: 15 -3 -2 -1 2+ 4 3 N -1 -2 -3 -4 2 3 JA -5+ In the above graph of y = f(x), find the slope of the…

A: Solution:

Q: Find the Maclaurin series for f(x) = 18 1+x

A: