Obtain the general solution. (HOMOGENOUS EQUATION) 3. ydx + (2x - y)dy = 0

Q: Obtain the general solution: (SEPARATION OF VARIABLES) 3. y' = y secx

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Q: Use the graph to determine the open intervals over which  is increasing, decreasing, or constant,…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use mathematical induction to prove that the statement is true for every positive integer n.…

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Q: Solve this differential equation.

A: We are required to find the solution of differential equation(6y2-7xy+x2)dy+xydx=0

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A: Let's solve given integration.

Q: What are the domains and ranges of the following functions? Function y = secx y = sinx y = tanx…

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Q: Consider the function f(x) 9x³ 2x² + 10x - 3. 3 An antiderivative of ƒ(x) is F(x) = Axª + Bx³ + Cx²…

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Q: Consider the following table, and assume that f(x) and g(x) are differentiable functions with values…

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Q: A circle is​ growing, its radius increasing by 4 mm per second. Find the rate at which the area is…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min.…

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Q: 2:² - 1 2003 +11 If the limit does not exist, type DNE. Compute the limit lim

A: S=limx→∞(x2-1x3+1)limx→∞(1x)=0

Q: A ball is dropped from a height of 121.3 meters. Its height above ground (in meters) t seconds later…

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Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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Q: Let the position of a swinging pendulum in simple harmonic motion be given by s(t) = cos(t) + sin(t)…

A: Given:- st=cost+sint

Q: Find the area bounded by the graphs of the indicated equations over the given interval​ (when…

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Q: [ Evaluate the given definite integral. [x³(2x+-1)³ dx Upload Choose a File Question 9

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Q: -T Which of the following represent the terminal side of a 6 A B angle in standard position? D с

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Q: A particular solution of x²y" - x(x + 2)y' + (x + 2)y=2x³, x>0, V₁(x)=x, V₂(x)= xex 2x²+x a. b.…

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Q: What is the value of the following limit? lim x-15.3 √x + 15.3 + 18.6 - 18.6 x + 15.3

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Q: The marginal price for a weekly demand of x bottles of shampoo in a drugstore is given by the…

A: Given  Find integration to get  the​ price-demand equation

Q: Let T be the tetrahedron with vertices (3, 0, 0), (0, 5, 0), (0, 0, 3) and the origin. Write f(x, y,…

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Q: ber of al real s) ber of qual/unique root(s) ber of ginary roots ber of s the graph ses the x- ber…

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Q: x²y² 4 (x,y)→✈(0,0) x² + 3yª Show that the limit does not exist lim

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Q: 9. Determine the domain and range of y = log(2x² - 50) and explain how you know this.

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Q: 5. Using n = 4 rectangles, estimate the area under f(x) = 2x² +5 to the x-axis on the closed…

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Q: A company's revenue for selling x (thousand) items is given by R(x) = Find the value of x that…

A: I have solved step by step in detail by considering exact value....with no any approximation...go…

Q: Consider the following table, and assume that f(x) and g(x) are differentiable functions with values…

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Q: Solve using Lagrange multipliers. (The stated extreme values do exist.) A one-story storage building…

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Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.014 per…

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Q: Consider the function f(x): x²8x + 15 - x + 5 a. Find the first derivative. f'(x) b. List any…

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Q: For the following function f, find the antiderivative F that satisfies the given condition. 1 F(v) =…

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Q: V. Use Variation of Parameters to find a particular solution for y" - 4y'-12y = et

A: Please see the below picture for detailed solution.

Q: question 11 The population of a city is 132,000. If the population is declining continuously by 3.5%…

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Q: Given the function graphed below, evaluate the definite integrals. -1 3 4 3 1 -1 -2 -3 -4 f(x) dx =…

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Q: If/Given that → F(t)=(5t+3,3t²,8-4t³), Find: - a) The first derivative: b) The first derivative: c)…

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Q: Consider the following. — -1 y -2 -4 y=x-x² 1 2 3 4 5 Lio 6 X

A: Given two equations y = x - x2y = x2 - 6x

Q: For the function f, given below, find the antiderivative F that satisfies F(1) = 1. f(x)=x²-3x 4+4…

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Q: Given f''(x) = = Find ¹ ƒ(7) = 4 sin(2x) and f'(0) = = 4 and f(0) = = - 1.

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Q: 4. y (x+y) dx + x(x²-5y³)dy = 0, y(a)=1

A: Please see the below picture for detailed solution.

Q: lim,→∞ is equal to [Select] is [Select] S V and it is

A: We can solve this as follows:

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: Use l'Hôpital's Rule to find the following limit. sin (x)-x 3 8x lim x-0

A: SOLUTION-

Q: A ball is shot from the ground straight up into the air with initial velocity of 40 ft/sec. Assuming…

A: Solution is done in step 2

Q: 17. Show that each of the following statements is true. a. b. log 15 a d. C. log, a log, a + = log,…

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Q: the area under the curve y = x² from x = 1 to with 6 Approximate x = 4 using a Right Endpoint…

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Q: Evaluate the given Laplace transform L{t² *te¹} a. b. C. d. a Ob O C Od -2 (S-1)²s 2 (5+1)²5³ 1 3…

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Q: Consider the following table xf(x)g(x)f'(x)g'(x) 02 502 11 -2 3 0 24 4 1 -1 33 -3 2 3 What is h' (2)…

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Q: A swimming pool is nearly empty, holding only 5400 gallons of water. A system is set up so that the…

A: Given that , Total gallons of water = 5400 After how many hours is the pool filling at a rate of…

Q: Evaluate the definite integral, So x(1-x)182 dx

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Q: A ball is dropped from a height of 149.7 meters. Its height above ground (in meters) t seconds later…

A: NOTE: Refresh your page if you can't see any equations. . the position function of the ball after t…