1. Solve the differential equation if y(0) = 1, and y'(0) = 2. y" + 6y' + 9y = cost

Q: Integrate the following Lid (z + 1)² L.r

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Q: 713 950 -153 -291 840 -262

A: The given problems are , , and.The aim is to find the subtraction of the given problems.

Q: (4) Find the area of the region bounded by f(x) = 12 - 3x², the x- - and the lines x = 0, and x = =…

A: The region bounded by functions  , the x axis and the lines  and

Q: If f(x)=x²-9, find f(x +h)-f(x) and simplify. f(x+h)-f(x) =

A: We have f(x)=x2-9And we want to solvef(x+h)-f(x) we find the f(x+h)I.e.  f(x+h)=(x+h)2-9=x2+h2+2xh-9

Q: The manager of a restaurant found that the cost to produce 200 cups of coffee is $19.52, while the…

A: To find out the cost function and also the fixed cost.

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Q: Find the exact length of the curve arc-length = Jx=e²+et y = 6+2t for 0 <t<=

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Q: Consider the following function. Complete the following table. (Round your answers to two decimal…

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Q: Calculate (-3.³√x) dx The solution to any indefinite integral of the type given above will always…

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Q: X (2x + lny)dx + = dy = 0 Y y(1) = 1

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Q: Sketch a graph of y = f(z) so that f is discontinuous at z = 2 but continuous from the left at z =…

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Q: One version of the Fundamental Theorem of Calculus can be stated as: q [F(a)adua f(a)da = F(q) -…

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Q: Given the series ∞ n= 3 8 n-1 Does this series converge or diverge? O converges O diverges If the…

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Q: Find the domain and range of the function. f(x) = -7+√√x

A: Domain is like the set of all permissible inputs you can feed into a function.Range is like the set…

Q: To determine whether the series T = geometric series ". What value of r should be used? Converges…

A: Solution is following in explanation step.

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

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Q: If f(x)=x²-9, find f(x+h)-f(x) and simplify. f(x+h)-f(x) =

A: we have given function

Q: (d) y = x², y = 4x = x² - (e) x = 2y², x = 4 + y² (f) y = x³, y = x

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Q: Use the power series method to solve the given initial-value problem. (Format your final answer as…

A: We have to use the power series method to solve the given initial value problem.…

Q: Verify that the Intermediate Value Theorem applies to the indicated interval theorem. C = f(x) = x²…

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Q: To test this series for convergence n=1 n /n³+1 You could use the Limit Comparison Test, comparing…

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Q: answer C and D of the same question. thanks

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Q: 4. Find the center of mass of the lamina that has the given shape and density. x = 0, x = 4, y = 0,…

A: The graph of region R

Q: Select all that apply: -7-6-5-4-3-2- LO ← Of(x) is continuous at x = 1. 3 N N 2 + 29 1 2 3 4 5 6 7…

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Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

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Q: Consider the function: f(x) Which of the following statements is (are) true? I. lim f(x) = 2 X→2 II.…

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Q: is wrong please can you check .

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Q: A baseball diamond has the shape of a square with sides 90 feet long (see figure). A player running…

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Q: Find the limit, if it exists. (If an answer does not exist, enter [ ( x + √x² √x² + 8x DNE lim 8118

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Q: Consider the rectangular corral with two partitions shown. If the fencing for the boundary of the…

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Q: Find the function y whose derivative y = dy -is 3.x²-6-x+4 and y has a value of 2 when x is 0 dx

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Q: C -6 -4 -2 احمد 1 I 4 10 9 -10 -9 -8 -7 -6 -5 -4 -3-2-10 8 6 4 32 1 -2 Use the graph to fill in the…

A: The given graph

Q: Calculate the area under this function over the specified interval: f(x)=3x² +6x + 1; [-4,2] Show…

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Q: Suppose and Then ((fog) – (g°f))(x) =| f(x) = g(x) 8 x+1 x+1 8

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Q: In a particular city, taxicabs charge passengers $3.80 for entering a cab and then $0.50 for each…

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Q: Find the area of the region described. The region bounded by y = √6x, y = 3x - 12 and y = 0 The area…

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Q: Find a vector of magnitude 3 in the direction of v = 12i - 9k.

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Q: Draw a graph that is continuous, but not differentiable, at x = -2. Choose the correct graph below.…

A: A function is not differentiable if left hand derivative is not equal to right hand derivative.

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Q: (5) Find the area of the region bounded by f(x) = 6-x, g(x) = x-2 and the lines x = 0, and x = 6.

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Q: Which of the following first-order differential equations are linear in y? Select all that apply. 0…

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Q: ] a) Determine the vector equation of the plane that contains the following two lines L1: r = (2,…

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Q: Solve the following equation for x. 91-x=81

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Q: Find the equation for the plane through the points Po(3,4,-4), Qo(-2,1,1), and Ro(-4,-4,4). Using a…

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