Which of the following differential equation can be solved using separation variables? a. (x-2y)dx + (2x + y)dy= 0 b. y(lnx)(ny)dx+dy=0 c. 2xy dx +(y? +x? )dy=D0 d. (cosxcosy-cotx)dx-sinx sin y dy=C

Q: f(x) = x³ + 4.5x? – 12x – 2 a) Determine the intervals on which f is concave up and concave down. f ...

A: Answer A: f(x) = x3+ 4.5x2-12 x- 2  f'(x) = 3x2 + 9 x -12  f"(x) = 6 x + 9f"(x) = 0 = 6x + 9x =-32Co...

Q: Given the function below f(x) = V180x + 36 %3D Find the equation of the tangent line to the graph of...

A: We use the formula the equation of the tangent line is y-y0=m(x-x0)

Q: Evaluate the integral. Da

A:

Q: Express the repeating decimal as a fraction. 0.1111. . .

A:

Q: f(x+h)-f(x) The expression for h +0 is called the difference quotient. Find and simplify the differe...

A: .

Q: 14. The formula for exponential growth and decay is given by Y = C. True False

A:

Q: Evaluate the integral. Do NOT use inverse hyperbolic functions as your final answer. 1 x* + 6х + 7

A: ∫1x2-a2 dx = lnx2-a2+x +C ; where 'C' is an integration constant.

Q: A radioactive substance decays exponentially. A scientist begins with 110 milligrams of a radioactiv...

A: Given query is to find the amount of the substance after 29 hours.

Q: Complete the table. Use the resulting solution points to sketch the graph of the equation. y =-2x + ...

A: NOTE: Refresh your page if you can't see any equations. . the given equation of a line is  now make...

Q: The profit of a company, in dollars, is the difference between the company's revenue and cost. The c...

A:

Q: The graph of the acceleration a(t) of a car measured in ft/s2 is shown. Use Simpson's Rule with n- 6...

A:

Q: Evaluate the integral. Show all your work. ( tan-(5r)dr

A: Our Aim is to evaluate the integral given below:-∫tan-1 (5x) dx  -(i)

Q: INTEGRATE THE FOLLOWING FUNCTIC PROBLEM 1: int. sin^3 y cos y dy

A:

Q: In 2004, an art collector paid $60,791,000 for a particular painting. The same painting sold for $30...

A:

Q: A graphing calculator is recommended. An elastic band is hung on a hook and a mass is hung on the lo...

A:

Q: Find the equation of the line satisfying f(0) - 7 and f(7) 2. %3D f(x) = -

A: As we know that, The expression for the equation of the line (point-slope form); y-y1=mx-x1 Where; m...

Q: Solve a following ordinary differential equation y'' + 2y  = sec(x)

A: Given: - The ordinary differential equation is, y''+2y=sec(x) To solve: - The solution of the given ...

Q: Given f(x)= x-x^2 and g(x) = 4x-2 Simplify g(g(x)) - x

A: Given query is to find indicated function.

Q: Solve. 3r = 27r The solution(s) is/are. (Simplify your answer. Use a comma to separate answers as ne...

A: Given query is to find the solution of the expression.

Q: AL THEOREM OF CALCULUS I ,b] then the function g(x) = f(x)dx 1, differentiable on (a,b) and g'(x) = ...

A: We have to find the following conditions according to the given information

Q: The population of a country dropped from 51.5 million in 1995 to 45.9 million in 2009. Assume that P...

A:

Q: |l. Find for and fy for flx,)= cOs (x)) No need to simplihy -/2 fx = cos (xy)- 1x -(-sin (xy)- y. 1x...

A:

Q: 5. Find the differential equation of the family of straight lines with slope 1. с. у-1-0 d. y' +1=0 ...

A:

Q: x2+y (c) = 17 |3D x+y2 dy answer: dx 2x(x+y²)-(x²+y) x+y2-2y(x²+y) (d) In(x² + xy + y²) = 1 -(2x+y) ...

A: We have to find dydx of given function  

Q: 5. Given: r = -4cose Sketch the graph and find the arclength, ( using calculus)

A: Find your answer below 

Q: Differentiate. sin(0) f(0) 1 + cos(0) f'(0) %3D II

A: Differentiate 

Q: Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, or the ori...

A:

Q: Evaluate. Show all your work and make sure answer is in simplest form. 1 dx 9+16x?

A: Given :∫1(9+16x2)2dx

Q: Use any method to determine whether the series converge. 1 (a) E k° + 7k + 1 k=1 This series may or ...

A: If lim n tends to infinity an /bn exists or finite then an and bn converges or divergerges together....

Q: Find the limit. (If the limit is infinite, enter 'oo' or '-co', as appropriate. If the limit does no...

A:

Q: Given: r = 3 - 5 sine a) Sketch the curve and label 4 polar points. b) Find the slope of the tangent...

A:

Q: -de 2. S e-x+e*

A:

Q: 1. Find the zeros of f(x) = x³ + 4x? + 3x. x = 0, x = –3 || x = 0, x = –3, x = –1 x = 0, x = 4 %3D -...

A:

Q: Determine whether the series converges. 1 Σ k + 20 k=1 The series >

A: We are asked to  find the series is convergence or divergence.

Q: Substance A decomposes at a rate proportional to the amount of A present. a) Write an equation that ...

A:

Q: Activity 2: Determine the equations of the normal at each of the points indicated 1. f(x) = x² + 3x ...

A:

Q: 11. Given the quadratic function f (x) = 2x2 – 12x + 14 Express the equation in standard form (also ...

A:

Q: Direction: Evaluate the following indeterminate function. Once simplified draw the graph and checked...

A: Here is the solution of the given problem.  Limit evaluation at a given points x=16  Verification by...

Q: Use substitution to evaluate the integral 4 sec2 4xvtan 4xdx 4 (tan 4x) + C 3 15 (tan 4x) + C 2 (tan...

A: Given query is find the value of the integral.

Q: Ceate five questions on the following topic along with the correct answers that you would expect if...

A: We write the inverse of a function and inverse of a natural numbers in addition and multiplicative.

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable ...

A:

Q: Which of the following differential equation can be solved using separation of variables? a. (x-2y)d...

A: Topic:- differential equations

Q: 6. Consider the function f(x) = In(x + 2) – 2 arctan(x) a. Find all critical points in the domain of...

A:

Q: x³ + 3x dx. x2 + 1

A:

Q: 4k+2 7ペ-1 k=1

A:

Q: The following situation applies to the attached question The fluid pressure (in atmospheres) at the ...

A:

Q: petermine whether the seauence conve ges or diverges. If it conve ges, find the e?cos (amr)

A: Sequence

Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

A:

Q: 25. n- (1+) n = 1 M 8

A:

Q: Find the equation of a line tangent to the given functions at the given points of tangency. 1) f(x) ...

A: