Complete the long division. x - 3 2 X + 3x + 2 + I

Q: Evaluate the integral. (Use C for the constant of integration.) √x² √/3+2x - x² dx 46²2-1 (2-4)…

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: Let a terminal point is denoted by ( x , y ) Then we can measure the terminal angle as follows

Q: (b) Show that 0 sin(x) cos(nx)dx 1+(-1)" 1-n²

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Q: e 0.5x 27. Consider the function: h(x) = a) Determine the properly simplified (factored) first…

A: The given function is

Q: 1. For each of the sequence (an} below, determine if the sequence an converges or diverges, and find…

A: The nth term of given sequence(b) (d)

Q: Solve the initial value problem. y'''-2y'' - y' + 2y = 0; The solution is y(t) = y(0)= 5, y'(0)=7,…

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Q: The graph of a periodic function f is shown below. -1 -1 -2 -3 -5 ƒ(0) 2 3 4 5 6

A: The graph of a periodic function f is shown below.(a) To find the period of f.(b) To find the…

Q: Evaluater(g(t)) using the Chain Rule: =(t) = (e¹, eº¹, −8), g(t) = 5t - 5 dr(g(t)) = { >

A: \)" data-mce-style="cursor: default;">r(t)=<et,e6t,−8> and g(t)=5t−5We have to find the…

Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are…

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Q: 1+x² What is the slope of the tangent to the curve y=- 2x when x = 3?

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Q: F(x) and G(x) are graphed below. Use them to answer the following. -1 y 5 H CO 2 3 6 x27

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Q: Example 3: Differentiate the Van der Walls equation, V = av van der walls constants, to derive an…

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Q: velocity (ft/min) It I 9 time (minutes)

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Q: Determine if the series converges or diverges.

A: Refer to explanation block Explanation:

Q: Find all functions whose derivative is −11sin (x). Your computer is able to provide a hint that…

A: The given derivative of thenfunction is

Q: Let C be the curve y = 7- 6 5 4 3 2 1 @ B +e 3 0.25 0.5 0.75 1 1.25 1.5 1.75 2 Find the surface area…

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Q: 4 7x Find the derivative of h(x) = 5 h' (x) =

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: 3 x-2x-4 limx→2 2x³+3x²-4

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Q: Suppose the function ƒ and its derivative ƒ' have values as given in the following table. f(x) ƒ'(x)…

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Q: SEQUENCE AND SERIES (b) Study the patterns in the table shown below, and on the answer sheet…

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Q: lim x-0 1 - cos x sin x

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Q: Solve the boundary value problem or show it has no solutions: y"+4y sin(3x), y(0) = 0, y(t) = 0. =

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Q: velocity (feet/sec) 30 20 10 10 20 30 time (seconds)

A: The given figure

Q: a) Make a sketch of: f(x)= x², if x 2 Clearly label each part on your graph. You must use graph…

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Q: Test for convergence or divergence with the Direct Comparison Test.

A: Refer to explanation block Explanation:

Q: Let f(x) = √1 − x over the interval [0, 1/2] . Find the surface area of the surface generated by…

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Q: The price-demand equation and the cost function for the production of table saws are given,…

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Q: Determine the convergence or divergence of the series.

A: The given series is convergent.Explanation:For any query at any step please ask.

Q: Let represent the radian measure of the angle below. By dragging the terminal point in the applet,…

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Q: Determine d²y of the curve x³y³ = 1. dx² d²y dx² X d²y_2y dx²x2 d²y dx² -x+y Odly - 36xy d²y dx²

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Q: Evaluate the following limits: x²-16 a) lim- x-4x²-x-12 b) ) lim (x-2)(x+2) x3-1.x A) A) 2 B) 8 B) 0…

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Q: 8 a) sin(3x) dx b) 69 0 (x-2)² dx c) S L5xdx d) f/²In x dx

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Q: If f (x) is continuous and 8 froa f(x) dx = 12, then find S²x² 0 x²f (x³) dx

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Q: 1. (b) Compute the integral Factor x² + 2x - 3. Decompose to Part(a)). x x x² + 2x - 3 x² + 2x-3 dx…

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Q: Compute f(g(x)), where f(x) = x and g(x) = 8x - 5. d dx To compute f(g(x)), first find f'(x) and…

A: Given Formulas we use:

Q: Find the volume of the parallelepiped determined by the vectors a 7 = (0, 3, 1), č = (2, 4, 1).…

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Q: For y = f(x) = 4x5, find Ax, Ay, and Ay Ax 1 given x₁ = 3 and X2 = 5.

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Q: let R be the region between the curves defined by the functions y = x2 and y = 6−x on the interval…

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Q: | √3 36 - 9x²dx

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Q: a. The region bounded by y = 2x, the x-axis, the line x = 1, and x = 3. A(x) = f₁³ 2xdx b. The…

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Q: 2/ Lift all 5 Possible -6x² +12x²-3x +2 Zeros (make list and Stop)

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Q: In this problem, p is in dollars and is the number of units. Suppose that the demand for a product…

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Q: Evaluate [²√₁-Pa dx °ex√1_(ex)2 ofile कस 0 √i-(ex)

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Q: Consider the functions: h(x) = f(g(x)) and Use the graphs of f(x) and g(x) to find the following •…

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Q: 7. y = 8x³-4x² +5x 9. y = (2x+5) (x-4) 8. 10. y = 3√6x +1 f(x) = 2x-1 x+6

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Q: a. Graph the function ƒ(0) = 6 sin(0). 8 f(0) 6 4 2 -Jt/2 J2 π -2 -4 -6- -8 + Clear All Draw: MM…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the average value of f(x)=e* - 2x on [0, 1].

A: The given function .The objective is to find the average value of the function over the interval .

Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 10 ln(x)…

A: The region is bounded by the curve  and x-axis for

Q: ind the derivative, r'(t), of the vector function. 8 r(t) = ( √t-7, 9, -3)

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