x³+4x²+x-6 3 sin(-x)+3x² et f be the function defined at f(x)

Q: 1. Evaluate the following integrals. [*(1+cos x)dx f. apa *1-√u -du

A: To evaluate the following integrals.

Q: 1. Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)…

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Q: 4. lim ¹-cos 2x x-0 sin 2x

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Q: Calculus 1. Consider the function f(x) = -5+7²-1. (a) Find the derivative f'(x) and hence the…

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Q: The piecewise function for the above table can be shown as: 95 110 150 160 220 f(x) = 240 360 10,…

A: A piecewise function is a function that has different definitions depending on the x value as in…

Q: 2 Write ftan² x sec⁹ xdx as a sum of integrals of odd powers of secant or cosecent. Start with the…

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Q: 2. Allen's small business has hourly costs (in dollars) of C(x) = x² +5, for x ≥ 0, where x is the…

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Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate…

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Q: Consider the given function shown on he graph. Identify three values of x at which f(x) is…

A: Topic:- function and limits and continuity

Q: In how many ways can we select 6 people out of 12, of which a particular person is not included? O…

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Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t) =…

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Q: Find the limit of the function lim x → − 6 ( 2 x + 12 | x + 6 | )

A: Find the limit

Q: B (7/12, -√2) D(3cos 8, 2sin ) are four points, then find the maximum area of quadrilateral ABCD,…

A: We have to find the maximum area of quadrilateral.

Q: Express the column matrix bas a linear combination of the columns of A. (Use A₁, A₂, and A3…

A: We can solve it by the help of augmented matrix.

Q: 1. Find the limit if exists or show that the limit does not exist 1-cos(x+2y²) (x+2y2)2 (a) (b) lim…

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Q: 5. K A decreasing function g satisfies g(4) = 6 and g'(4) = -2. Which of the following statements…

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Q: sin 3x x-0 tan 4x 3. lim

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Q: Write 11 Stan¹¹ iftan x dx in terms of 9 tan x dx

A: The integration of tan11x write in terms of tan9x.

Q: Consider the following. X-4 f(x) x + 5x - 36 Describe the interval(s) on which the function is…

A: Let's solve continuity and discontinuities of given function.

Q: Book Problem 19 (a) Find the average value of f(x) = 25 - x² on the interval [0, 5]. Answer: (b)…

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Q: A- Find (1) asymptotes for the following functions: x²-1 x²+2 (2) x³+x²-x-3 x²-1 x²-4 (1) f(x) =…

A: Note: Since, the student has posted four sub-parts with numbering (1) and (2). We are considering…

Q: Book Problem 31 Find a function f and a positive number a such that f(x): a = = + [² 2+ f(t) dt =…

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Q: Evaluate the integral: ³√1 + 100x² da

A: Need to find out the integration.

Q: 6. Let [√16-X² Find y(2√3) 16-x? 2 16

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Q: 1. Find the general solution to the differential equation x' = t cos(t²). Find the particular…

A: The given differential equation x'=t cost2use the integral formulas, ∫dx=x+C∫cos x dx=sin x+C

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

A: To Find: The Taylor Series of f(x)= lnx with center c= 1

Q: Find point D where D is a point on AB where AD 1 CD. Then compute A = |AB||CD||

A: See the details solution in below

Q: Use an inverse matrix to solve each system of linear equations. (a) x+2y=-1 x-2y - 3 (x,y) (b)…

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Q: 6. The value of a new speed boat depreciates at a rate of 7% per year. If the boat was bought for…

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Q: B- Use power series to evaluate the integral sin.x X -dx

A: We want to find integral of sinx/x using power series.

Q: Find all values x = a where the function is discontinuous. For each value of x, give the limit of…

A: We have to find all values x = a where the function is discontinuous f(x) = 3x2 + 8x + 4

Q: Determine whether the curve is the graph of a function of x. O Yes, it is a function. No, it is not…

A: Topic:- function

Q: (3) Find explicit particular solutions of the initial value problems below. (a) + 1 = 2y, y(1) = 1.…

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Q: A rectangular playing field is to have an area of 400 sq. meters. Fencing is required to enclose the…

A: Concept: Area of the rectangle is  A=length×width Fencing of the rectangle means covering its…

Q: B √√2 3 and D(3cos 0, 2sin ) are four points, then find the maximum area of quadrilateral ABCD,…

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Q: a) (b) (c) ê Sir COS -2s (²+4)² 8 (²+4)² 2s (s²+4)²

A: Topic:- application of integration and derivatives

Q: Find the limit using direct substitution. x-4-2 lim X-13 X

A: Find the limit using direct substitution limx→13x-4-2x=?

Q: Y+y-cos x + 3 sin 2x

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

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Q: A/ By using Exact equation solve the first order differential equation 2y² + ye* + (4xy + x² + 2y)y…

A: Topic:- application of differential equations

Q: Q4:B/Simplify [cos 20-i sin2018 [cos 30+ i sin30 1² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De…

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Q: Refer to the function f shown to the right. Use the graph to estimate the indicated function values…

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Q: Simplify the following: 5 2 + x² + 5x + 6 x² + 4x +3

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Q: 14. Estimate the area under y = 36-x² using 3 rectangles and the left endpoint method. y=M-2²…

A: Here we use the left endpoint method.

Q: DUE NOW. Please answer all the script part as the same as the process on what's in the sample…

A: The objectives are: Now we have to make a script as the following;

Q: Solve the standard equation of every circle that passes through the points P(1,-1) and Q(3,1) and is…

A: I am attaching image so that you understand each and every step.

Q: A torus is formed by revolving the region bounded by the circle x2(squared) +y2(squared) = 4…

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Q: Consider the function Evaluate the definite integral f₁ f(x) dx = Evaluate the average value of f on…

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Q: p.d.f. h(x) of the random variable x is defined by h(x) =3/(4(1-x²)),-1<x< 1,Calculate the expected…

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Let's find first six terms of the recursive sequence.