y"+y=csc²

Q: Identify and sketch the domain of f(x, y) = √4-x²-y In x

A: Given function : f(x,y)=4−x2−ylnx

Q: - given that 2 = 2x + 4y, x = 3 y = 1, and dx dt = 6

A:

Q: 2. Given g(x) = 2x5 + x² where b is a constant, find the value of b if g'(2) = 180. "

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Q: Evaluate fcos³ (42) sin(4x)da

A: here is the solution:

Q: 3. Check for homogeneity and obtain the general solution. (Let y=vx and 2C=C) dy x-y dx x+y

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Q: Oil spilled from a ruptured tanker spreads in a circle whose area mi² increases at a constant rate…

A: Using differentiation

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Q: = Let the graph of a piecewise-defined function f, from x x = 6, be the figure below. Evaluate So…

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Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

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Q: 2. Determine whether the following integral is convergent or divergent. If convergent, evaluate. 1…

A: Given query is to find integral converging or diverging.

Q: pls

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Q: If the average running speed of an amateur athlete (in miles per hour) after training for t days is…

A: Given Average speed:- ⇒St=0.39lnt+11.3

Q: Find the General Solution G.S. 1. (y² - 2xy + 6x)dx - (x² - 2xy + 2)dy = 0

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Q: Evaluate: [4 dx/(x²-4). A. In (x-2)(x + 2) + C C. 2 arc tan x/2 + C B. In (x + 2)/(x-2) + C D. 4 arc…

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Q: 2. Find_lim (3x³ + √9x6 − 2x³ ) ∞-1x 2

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Q: determine the general equation of the tangent plane to the surface of parametric equations: x = 1 +…

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Q: Is the following function homogenous or not? Prove your answer u = (x+y)¹/²

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Q: Find the limit: √√-8 lim 2-64 64 Give your answer to at least three decimal places: Submit Question…

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Q: Use a graph off to estimate lim f(x) or to show that the limit does not exist. Evaluate f(x) near x…

A: The given function is: fx=1-cos2x-25x-12; a=1 (b) To evaluate f(x) for values of x near 1 to support…

Q: Graph the parabola and find its vertex and the axis of the parabola.   ​f(x)=​(x−2​)2       Question…

A: Topic: parabola

Q: If f(x) = 4x²-x³, find f'(x), f"(x), f(x), and f(4)(x). f'(x) = f"(x) = = (x)... f(4)(x) =

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Q: 'he cost (in dollars) of producing x units of a certain commodity is C(x) = 4,280+ 13x + 0.03x². ind…

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Q: S+4 (s²+4s+8) 10. L-1 solve using inverse laplace

A: As we know the inverse Laplace transform identity;  1). L-1a·fs+b·gs=a·L-1fs+b·L-1gs 2).…

Q: plot 1 2√x+y + 1 2√x-y

A:

Q: Q3/ Use the l'Hopital's rule to find the limits x-8x² x→∞ 12x²+5x 2) lim

A: The limit is given by limx→∞x-8x212x2+5x To evaluate: The value of the limit using L'Hopital's rule.

Q: Q1/ Find of the following functions dx 1) y=²-1 and x=21+3

A:

Q: A group of winning ticket holders share equally in a ​$90,000,000 lottery. Before the money is​…

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Q: DIRECTIONS: Write down a differential equation of the form dy/dt =ay +b whose solutions have the…

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Q: Let f(x, y) = 4√xy² + 4y+exy¸ Use local linear approximation to estimate 4√(0.1)(0.9)² +4(0.9) +…

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Q: Find the average value gave of the function g on the given interval. g(x) = 2 cos(x),   (-π/2, π/2)…

A: Given query is to find average value of the function.

Q: Use the given graph to estimate the value of each derivative. (a) f(-3) (b) f'(-2) (c) f'(-1) y =…

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Q: If a ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t…

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Q: Initially, there is 60 mg of a certain radioactive material present and after two hours, it is…

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Q: Solve (d) de sete + 2y cot = csc .

A:

Q: Let f(x)= = [mx m = - 11 if x < -10 - - 10 x² + 4x 1 if x 2 If f(x) is a function which is…

A: Since the function is continuous everywhere, the value of f(x) at x&lt;-10 is the same as x&gt;=-10…

Q: The graph below is the function f(x) -5-4-3-2 Find lim #111 Find lim #111 Find lim x-1 3 2 1 ON B…

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Q: y" — y'=x

A: The given differential equation is: y''-y'=x So, we can also write as; D2-Dy=x The auxiliary…

Q: 0:0(0-¥x)+XP(46+2)

A:

Q: Use the graph of y=f(x) to graph the function g(x) = -f(x)-1. y = f(x) Ay d 2 Choose the correct…

A: y = f(x) g(x) = -f(x) -1 here f(x) graph is given  from that we have to find g(x) graph  here from…

Q: Algebra An airplane's altitude declines steadily by 29,750 feet over a 14 -minute period. Find the…

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Q: K Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use - ∞ and ∞o…

A: The graph of f(x) is given in question and we want to find the right hand limit of f(x) ar x= -2

Q: 1. Given that the position of a particle is given by s(t) = 3t4 + 20t³ − 48t² + 17t + e¹¹, determine…

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Q: Determine the solution of the DE=0. z = c + √t a. b. z = c√t c. z=c-√t d. z = c/ e. Cannot be solved…

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Q: 1(1)

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

Q: Show that the function f(x)= x^3 − 15 cos(pi x) + 1 has three zeros in the interval [−4, 4]. Do not…

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Q: the value X, I when solving the system X+27=82X+59= 21 in the manner of cards True Error -2,-5

A: we need to solve the system of equation.

Q: Q1/ Find of the following functions de 1) y=²-1 and x=21 +3 3) y=e* cos2x 2) y = sin(1+tan 2.x) 4)…

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Q: Show that the function f(x) = |x - 21 is not differentiable at 2. We have The right-hand limit is…

A: To show that the function fx=x-2 is not differentiable at 2.To find a formula for f' and to sketch…

Q: Let f(x) = 8x²+x+2. Then according to the definition of derivative (8(x+h)^2+x+h+2-(8x^2+x+2)) f'(x)…

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Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) (ii) (1)…

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