3xydx+ (x² + y² )dy = C Answer: y² (4x² + y²)² = C²

Q: Solve y'' + 4y' + 4y = 0, y(0) = 3, y'(0) = y(t) = 9

A:

Q: Evaluate the integral in terms of the constant: S₁x5 dx =

A:

Q: I The vector in the opposite direction to ū= (2₁4) and half of its length is The vector of length 2…

A: Vector u→ in the same direction  of p→ with length of a=ap^=ap→p→ Vector u→ in the opposite…

Q: Leta = (5₁5) and b=<3₁-5) SO Why that Ba Sa+t6=<-4₁-207 S= +=D]]

A:

Q: Find the first partial derivatives for f(x,y) = 10x cos (xy). 4:0 | 빙 = 11

A:

Q: Give the particular solution of the given intial value problem. Show full solution. xy′+2y =…

A:

Q: Evaluate the integral 4 * √i(4+t) dt

A:

Q: Let f(x) 1 == +x. X 1. Find critical numbers of the function. Type your answer here to separate…

A:

Q: Consider the DE x³y' + 8x²yy' + 4xy²y³ = 0. Making the substitution v = y/x in the DE yields 1 + 8v…

A: We need to write that the equation obtained after substitution is true or false.

Q: The speed of an object being propelled through water is given by 1/3 v(P, C) 1 1 SECTION 14.5 The…

A: I have answered first three questions for you. Please re-post other questions again. The speed v of…

Q: Question Determine whether the series below is a geometric series, a p- series, an alternating…

A: The given series is cos(pi n)/(6n), n from 1 to infinity.

Q: 1. Calculate ›(3) (52 (a) (8) (b) (8) (52) (52)

A:

Q: Calculus Find the standard deviation of the scores: 5.5.5. 8. 11. 11. 11. Round to tenths A) 2.8 B)…

A: To find the standard deviations

Q: Question 2 Given: y' +=(1-2x)y4 and y(0) = 1, Fin O A.0 OB. 1 OC. 2 OD. 1/2 O E. None

A:

Q: Differentiate the given function using the appropriate rule(s). Your answer does not have to be…

A:

Q: 19. If z = f(x,y) has continous partial derivatives, x = s + 2t and y = s - - 2t, show that 2 2 2(0)…

A:

Q: 1.) xy3dx + ex^2dy = 0

A: We need to find out the solution of the differential equation.

Q: Solve y'' + y' 6y = 0, y(0) = 2, y'(0) = y(t) = 21

A: To find solution of differential equation

Q: A couple wishes to borrow money using the equity in their home for collateral. A loan company will…

A:

Q: Prove that the resulting series when x = 0 is conditionally convergent in the power series +00 (3x -…

A:

Q: Find the equation of the tangent line to the curve y = 2 sina at the point (,1). The equation of…

A: m=1.732 b=0.093 For detail...go through the solution...I have solved step by step in detail

Q: 3 Define Q as the region bounded by the graphs of u(y) = -²(y-2). the y-axis, y = 0, and y =…

A:

Q: Use the properties of logarithms to expand the logarithmic expression. Submit Answer x - 67 X X

A: Expand the logarithmic expression.

Q: Solve the differential equation. dy 2√xy = 1, dx The solution is (Type an equation.) x, y>0

A:

Q: Use the binomial theorem to expand the following: (a) (x + 2y)* (c) (3x + 1)4 (b) (x - y)6 (d) (x +…

A:

Q: Use logarithmic differentiation to find tan¹ a cos(csc−1r) sinh-

A:

Q: Find an open interval about x on which the inequality | f(x) − L| 0 such that for all a satisfying 0…

A:

Q: Sketch the graphs of the following functions. 9. f(x)=x³-6x² + 12x-6 10. f(x) = -x³ 12. f(x)= x³ +…

A: Sketch the graphs of the some given function. 9) f(x)= x3 -6x2 +12x-6 11) f(x)= x3+3x+1 13) f(x)=…

Q: Consider the function f(x) = 3x³ + 5x2 +15. For what values of k does the Intermediate Value Theorem…

A:

Q: What is the general solution of the given equation, cos(x + y) + 2x + (cos(x + y) + 4y)y' = 0 O A.…

A: solution of differential equation

Q: + 1, the x-axis, x = -1, and x = 2. Use the Define R as the region that is bounded by the graph of…

A:

Q: determine the first 4 terms of the taylor series: a. lnx centered at a=1

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

Q: Assume that the level surface equation x3+y3+z3+6xyz = 1 defines z implicitly as a function of x and…

A:

Q: Solve the following DE: (x²+1) dx + x²y² dy=0 Oxy³ = 2(1+Cx+x²) Oxy³=3(1+ Cx-x²) O xy2=2(3+…

A:

Q: Letū= (-2,37₁ v = (-5,27 and W = (-2₁4) Find the vector X that statif statisfies in this X = 1…

A: See this solution in below.

Q: Consider the following function. t(x) = (x − 4)² + 7 Step 3 of 4: Find two points on the graph of…

A: Given that t(x)=(x-4)2+7-(i)Our Aim is to find two points on the graph of the parabola other thanthe…

Q: x + 1 x-1 - Given: f(x)= -) solve: (f o g)(0) = and g(x) x - 3 x +3 b.) Find the domain of f, domain…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) [² Need Help? 8 - ex e5x dx…

A: Given : ∫8−exe5xdx

Q: Find f'(9) if f(x) = 7x² +6x + 2 √x f'(9)=

A: we know, ddx(xn)=nx(n-1) for any real n

Q: When a quarter is tossed four times, 16 outcomes are possible. HHHH HHHT HHTH HHTT HTHH HTHT HTTH…

A:

Q: Use the e-8 definition of a limit to compute the value of the following limits: 1. lim -3x+1 3

A:

Q: (a) Evaluate the following limits without using L'Hôpital's Rule: (i) (ii) (iii) x-1 lim x→0+…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: If f(x) = 7 sin x + 10 cos x, then f'(x) = f'(3) = (round to 3 decimal places)

A:

Q: Let f(x) = x³ - 2x². 1. Find critical numbers of the function. Type your answer here to separate…

A:

Q: Given that; f(2)=2, f'(2)=3 g(2)-6, g'(2)=4 Calculate the following (fg)/2= (f/g)'(2)= (g/f)'(2)=

A:

Q: Sketch the situation if necessary and use related rates to solve. Two buses are driving along…

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

Q: Determined of the following. Do NOT simplify your answers. y = cos (ln(3+sinx)+tanh) 1.

A:

Q: Find the derivative of the following functions using limits. 1. f(x)= 3x² + 4x-5 2. f(x)=x³2x²+x-3…

A: The given functions, 1. fx=3x2+4x-52. fx=x3-2x2+x-33. fx=x-12 We have to find the derivative of…

Q: If f(x)=6+(6/x)+(6/x^2)  find f'(x)

A:

Q: the above graph is the graph of f′(x), then f(x) has a local maximum at x=___, a local minimum at…

A: