Find the area bounded by the curve x = y^2 + 2y and the line x = 4.   *Draw/Plot the diagram for the given curve. State the method used and find the areas bounded by the given equation.

Q: Q.17: Find an expression for the nonhomogeneous ODE whose general solution is given by: y = Ae³x…

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Q: Differentiate. g(x) = log 23 (5x-4) g'(x) =

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Q: Solve the Ordinary Differential Equation by Laplace Transformation y" - 2y' - 8y = 0 if y(0) = 3 and…

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Q: 2. Evaluate f(x) dx if f(x) dx = 5. 2 A. 5 B. -5 C. -2 D. 2

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Q: √x+1 - dx = y² + 4y+ 4in(y-1) + C, express the final answer in terms of x- √x-1 Using Rationalizing…

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Q: ODE  Solve the homogeneous equation  dy/dx = 4y-3x/2x-y

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Q: A tumor is injected with 0.6 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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Q: Decide from the graph whether each limit exists. If a limit exists, estimate its value. lim F(x) lim…

A: We have to find the limit

Q: 81-2 da Evaluate the integral: √√81 (A) Which trig substitution is correct for this integral? Ox = 9…

A: Solve the following

Q: Resolve, using homogeneous equations. dy/dx = - 4x+3y+5/2x+y+7   To reduce equation, consider a…

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Q: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

A: answer is in next step

Q: A circular swimming pool full of water has a diameter of 24 ft and the sides are 5 ft high. Set-up…

A: A circular swimming pool full of water has a diameter of 24 ft and the sides are 5ft high.

Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

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Q: Graph the given function and then find the specified limits. If necessary, state that the limit does…

A: This question is based on function and limits

Q: 1 f²2² ²¹ (x+y+z)dxdzdy 0 0

A: This question can be solved using the concept of evaluating triple integrals.

Q: √x²=1 The resulting value of the definite integral x where c and d are whole numbers. What is the…

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Q: (6) 6. 1 y z = -t Resolute Rebecca believes she is limitless moving forward along her path!…

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Q: d) an = 1 2² +1 ( ² + + - ₁ - ¹ ( ² ) ) n² + 1 2 1² + 1 + + 2 3² +1 + 1 4² +1 + ...

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Q: If ƒ (x) = (2x+1) ³ (x-3) 4 4 then f(0) =

A: Given:    f(x) = 2x+13x-34

Q: .729 dx "J64 √X-3√x" √ or(v)dy, and f(x). find = Using Rationalizing Substitution © 6y+6+ 6 y-1 6y²…

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Q: Determine whether the given equation is separable, linear, neither or both.  (t^2+1)dy/dt=yt-y

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Q: B. By using the n-th root test method, test the convergence of the following series: Σα-Απ n=1 Q.2…

A: Solve the following

Q: QUESTION 3 Find the particular solution for the given separable differential equation. dy 2x+y,…

A: We have to solve differential equation

Q: Q2, 2) State both the triangle inequality and Cauchy-Schwartz inequality in SIMPLE AND CONCISE AND…

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Q: For the given cost function C(x) = 32400+600x + x², First, find the average cost function. Use it to…

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Q: mula for calculating the magnitude of an earthquake is M = -210g (E) that uses the common 10)…

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Q: 1. Encuentre la ecuación del plano determinado por los puntos P(1,2,3) Q(2,3,1) R(0,-2,-1) 2.…

A: Vector equation of the plane passing through the three points with position vectors a, b and c is…

Q: Differentiate. 7 - 6x +2e¯x + +X y=xe Choose the correct answer below. O A. dy dx OB. dy dx OC. dy…

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Q: The equation N (t) 600 models the number of people in a town who have heard a rumor 1+49e-0.7t after…

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Q: Find sin 0 and cos 0 if tan 0 sin = 3/5 sin = -3/5 sin = 4/5 sin = -4/5 cos = 3/5 cos = -3/5 cos =…

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Q: 1) 3) (x-3)² (v-4)² + 16 196 (x + 1)² (y-8)² + 9 81 = 1 = 1

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Q: 1 sinx # 1-cos2x ẩu! (6 2

A: Given query is to find the value of the limit.

Q: particle moves along a straight line with equation of motion s = f(t), where s is measured in meters…

A: Topic:- application of derivatives

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x--3 x-1 (...) a. Find lim f(x)…

A: Limit of a function at a point will exist only if right hand limit is equal to left hand limit of…

Q: Find an equation of the curve. The tangent line to the curve at the point (1,2) also passes through…

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Q: af find given f (x, y) = e + 2xy² - 4y at (0,3) 9 ду O-12 O-7 O 8 O 4

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Q: The graph of a derivative f' is shown to the right. Use the information in the graph to determine…

A: The graph of the f'(x) is given as

Q: what is half of 3 and how

A: We can solve this as follows:

Q: If w = 2x² + 2y + 2z+ cost and x+y=t, find the partial derivatives below. G. (22) X.X C. a. (W) b.…

A: Note : As per our guidelines we are supposed to answer only first 3 subparts if there are multiple…

Q: Consider the following. u = 2i + 8k, v = 7i + 3k (a) Find the projection of u onto v. (b) Find the…

A: This question is related to vectors, we will solve it using given information.

Q: Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of…

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Q: Using Rationalizing Substitution S- O In(y) + C O Arctan(y) + C O2Arctan(y) + C O2ln(y) + C dx…

A: ∫dxxx-1Substitute y=x-1→dydx=12x-1→dx=2x-1dy=2∫1y2+1dy

Q: A producer has determined that the revenue generated from the production and sale of x units of a…

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Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

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Q: s 4+e 22 Im ez جامع dz

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Q: Find the area bounded by each of the following curves. Draw a graph and show complete solutions.…

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Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

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Q: Find the area of the plane region, 0≤x≤ π²-4 S.U. 4 1.111 s.u. 1 s.u. 2 S.U. bounded by y=sin X. X =…

A: This question can be solved using the concept of area under curves.

Q: 3. A function g(x) is a probability density function function g(x) = -&- 5z 5e is a probability…

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Q: Write a formal proof of the following statement. Don't forget to verify each step of your proof. in…

A: answer is in next step .please give a like!!