63. bn = 3-4" 2+7.4" n

Q: (b) (c) -2 (d) 1 f's 0 0 (a) f(x) dx = -2 -1 1 ['re f(x) dx = 2 fro -1 274 -2 f(x) dx = 10 f(x) dx =…

A: As per the guidelines we are supposed to solve only the first 3 subparts. Please repost the other…

Q: Let the vector v have an initial point at (-3,0) and a terminal point at (-4, –3). Determine the…

A: The initial point of the vector is x1, y1 = -3, 0 The terminal point of the vector is x2, y2 = -4,-3…

Q: The strength of magnetic force varies inversely with the square of the distance between the magnets.…

A: Force is given by÷ F=kx2  When both the magnet are 6 cm(0.06 m) apart there is a force of 4N.…

Q: (b) So = x-4 r2 – 52 + 6 dx

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Q: 1) Find the average value of the function f(x) = 3-4x + 5x² over the interval [-1, 3].

A: The function is given by fx = 3-4x+5x2 To determine: The average value of the function over interval…

Q: The next step is to find du = g'(x) dx. First find g'(x). g(x) = x + 9x 6.x³ +9 Therefore, we have…

A: Find where wrong Your wrong 1/u it is wrong Right is 1/u^2

Q: Find the first few terms of the Taylor series centered at x = 0 to evaluate: lim z-0

A: limx→0ex2-x2-1x4

Q: Evaluate f(1) and f(1.1) and use the results to approximate f '(1). (Round your answer to one…

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Q: L² 2 (2x² – 3x) dx

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Q: (A) Estimate the area under the graph of f(x) = 16 - x² from x = 0 to x = 4 using 4 approximating…

A: We have to find the area using the reimann left midpoint and right points of the rectang

Q: 27, 28, 29 and 30 Evaluate the indefinite integral as a power series. What is the radius of…

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Q: uate the indefinite integral as a power series. What

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Q: The rate of change of profit for a company is given by p(t) = 327 e thousand dollars per year, t…

A: Given that , pt=327e-0.21t

Q: Let R be the region bounded by the graphs of x=y^2-4 and 1/8 y^4-y^2+2 as shown below. Calculate the…

A: x=y2-4 and x=18y4-y2+2

Q: The initial and terminal points of RS are given below. Write the vector as a linear combination of…

A: An object with both magnitude and direction is said to contain a vector. The movement of an object…

Q: 1 Find the arc lengths of the curve y = ln (1-x²) on the interval 0≤x≤. Round your answer to 4…

A: The given curve is: y=ln1-x2     on the interval  0≤x≤12

Q: Solve the trigonometric equation for all values 0 < x≤ 6. 2 sin 2x = √3 ******

A: NOTE: Refresh your page if you can't see any equations. . the given equation is and the given…

Q: (2) g(x)) = f(z) g(z) + g(z) - f'(x). (a) For each of the following functions, use the Product Rule…

A: Note : As per our Guidelines , we can solve first part as your all parts are not small and also in…

Q: Evaluate the integral. (Use C for the constant of integration.) [7. 7z³e² dz

A: ∫7z3ezdz

Q: : + 8)³ + (x + 8)−¹ for 1 ≤ x ≤ 2. Find the arc length of y = 1/2(x + (Give your answer to three…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use the formula t = T(t) r(t): = r'(t) x r"(t) r(t) Ir'(t) x r"(t)|² 4t, t², to find the torsion of…

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Q: Find the volume of the solid formed by rotating the region enclosed by y=e¹ +3, y=0, x=0, x=0.8…

A: Consider the given function y=ex+3, y=0, x=0, x=0.8The volume about x axis is evaluated  as…

Q: Test the series below for convergence using the Ratio Test. 8 n+6 53n+4 n=1 The limit of the ratio…

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Q: Use the right endpoint approximation with n = = 10 to estimate the arclength of the curve y=xsin…

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Q: Given a = 3, b = 11, and c = 10, use the Law of Cosines to solve the triangle for the value of A.…

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Q: (c) \P) 3-X _x(x2 + 2) - dx

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Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph. (x-4)²-2(y+5)-0 vertex…

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Q: 79. Give an example of a divergent sequence {a,} such that lim |an| converges. n→∞

A: To find a divergent sequence whose absolute sequence converges

Q: Find the surface area of the portion of the plane z = -5x - 4y + 5 above the region {(x, y) 10≤x≤2,…

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Q: 2. For these systems of ODEs find the general solutions: 34 (a) x' = (3₁) x, x(0) = [1,1]T 32

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Q: answer the following:

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Q: Find the volume of the solid obtained by rotating the region x², y = 0, and x = 1, about the y-axis.…

A: NOTE: Refresh your page if you can't see any equations. . here we have ..............radius…

Q: S x³ +1 x² + 1 - da

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Q: Find the vectors T, N, and B at the given point. T = N B || || r(t) = (2 cos(t), 2 sin(t), 2…

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Q: Find the component form of vector with initial point (-6, 2) and terminal point (7, -3). O v = (-8,…

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Q: Exercises 77-78: Critical Thinking ing for the given graph of an exponential function f. (a) Give…

A: To find the following for the given graph of an exponential function f. (a) To give the domain and…

Q: are there any holes for this function,verticial or horizontal asymptotes?

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Q: xp zx^x 0/ S (a)

A: The given integral is xsqrt(1-x2), limit from 0 to 1 to

Q: The area below the graph of f(x) = √x and above the ï— axis, on the interval [0, 8], is to be…

A:

Q: Let G be the region in the plane the curve ▷ and x=1. ▷ bounded by y= ex and the lines y=-x+1 a)…

A: The given curves are: y=e-x,     y=-x+1     and    x=1

Q: Consider the following integral: fr.e-8 dr. Via method of integration by parts, fill in the blanks…

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Q: Find a polynomial equation f(x) = 0 satisfying the given conditions. (If not possible, enter…

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Q: 9) Use the table of values below to find the average value of f (x) over the interval 0≤x≤ 20. Show…

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Q: Find the first five non-zero terms of power series representation centered at x = 0 for the function…

A: The given series is: f(x)=51-x4

Q: Let the vector v have an initial point at (1, 0) and a terminal point at (4, 2). Determine the…

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Q: Use Newton's method with the specified initial approximation x, to find x3, the third approximation…

A: The given equation is, x5+4=0

Q: Find the centroid of the region bounded by the graphs of the functions y = 2x² x² +1 Y = The…

A: y=2x2, y=x2+1

Q: Tutorial Exercise Step 1 1 Use a definite integral to find the area under the curve between the…

A: We have to find the area under the curve.

Q: Find the fourth roots of +³ Write the roots in trigonometric form. ○ w₁ = cos(20°) + i sin(20°) w₂ =…

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Q: Determine if the vector pair are orthogonal or not. a = 6i 18j and - b = -8i + 3j

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