If lim x→±∞ X = -3, there is

Q: Let f be the function defined above. (a) Find the average rate of change of f on the interval -3 ≤ x…

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Q: 1. Find the limits. Show intermediate steps. For any step that uses L'Hopital's Rule, write L'H and…

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Q: Find the line integral of ​f(x,y,z)=x+y+z over the​ straight-line segment from ​(5,4,2) to (4,2,-2)

A: Note:- Since you asked multiple question ,according to our policy we can solve only first question…

Q: Aft 10 Un 10- 0 5 X

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Q: Evaluate the given integral by changing to polar coordinates. 1₂ (4x - y) dA, where R is the region…

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Q: Find the point on the curve y = 5-x^2 that is closest to the point A(6,2).

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √1+ex, 0≤x≤…

A: We know that the surface area about the x-axis formula S.A= 2pi int_a^b y sqrt(1+(dy/dx)^2) dx

Q: Determine whether the alternating series M8 n Σ (-1)^* ¹(210) n=1 converges or diverges.

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Q: 4. List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see…

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Q: Evaluate the given integral by changing to polar coordinates. 11.x² x²y dA, where D is the top half…

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Q: Differentiate 2 Y = t² + 5÷t² - 4t² + 3 Y' = ?

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Q: Shenika wants to monitor her daily calcium intake. One day she had 3 cups of milk and 1 cup of…

A: Let calcium in 1 cup of milk = x Let calcium in 1 cup of cooked spinach = y According to the given…

Q: Consider a triangle ABC like the one below. Suppose that c= 10, b= 18, and C=25°. (The figure is not…

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Q: Find the proper coordinates of the point labeled on the given unit circle. O

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Q: Describe how the graph of y = √x can be translated to the graph of y = √x – 11. A. 11 down C. 11 up…

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Q: S ㅋ K=l Veek

A: To determine whether the following sum diverges or converges. ∑k=1∞ 7k ek

Q: Find all the possible rational zeros of the following polynomial: f(x) = 3x³ - 20x² + 33x − 6 O ±1,…

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Q: 48. [(25 +42²³)(z³+1)¹² dz fox. 49. 51. 53. S 55. 57. (x + 2)(x + 1)¹/4 dx [ 59. (61) sin(8-30) de…

A: Consider

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following…

A: Given Marginal revenue function X = no. of gadgets R’(x) = thousands of dollars   R’(x) = 4x (x^2 +…

Q: Find an equation of the sphere with center (3, -11, 8) and radius 10. 4 Use an equation to describe…

A: Standard equation of sphere with center x1,y1,z1 and radius=r⇒x-x12+y-y12+z-z12=r2

Q: Fall Use the method of Lagrange multipliers to find the maximum and minimum of f(x,y) = 2xy subject…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 8 -…

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Q: Find the radius of convergence, R, of the series. n Σ(x + 4) n = 1 R = 8 Find the interval, I, of…

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Q: Solve the IVP g'(x) = (x² - 2x + 3)e-, and g(0) = 0.

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: Evaluate the indefinite integral as a power series. √x4 in (1 + උප f(x) = c + Σ n=0 + x) dx (-1)-6…

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Q: Farmer Ed has 500 meters of fencing, and wants to enclose a rectangular plot that borders on a…

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Q: Evaluate the indefinite integral as a power series. √x4 in (1 00 In(1 + x) dx n+5 f(x) = C + (−1…

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Q: Question Given the integral below, find the best lower and upper bounds for F that the comparison…

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Q: 1. Maple Scented Ambient Candles, Itd., have determined that the average price their large candles…

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Q: Esc Solve the following quadratic equation: -2x² + 3x-2=0 81°F Mostly cloudy F1 10 x= 0 x=(-²/+ F2 2…

A: -2x2+3x-2=0 Comparing this with the equation ax2+bx+c=0 We get,  a=-2,b=3,c=-2 So,  b2=32=9…

Q: Find the Maclaurin series of the function f(x) = (7x²)e-7 (f(x) = Σ ena") 71 0 C1 C3 C4 C5 || || ||

A: The given function is;  f(x)=7x2e-7x

Q: Write the first six terms of the arithmetic sequence with the given first term, a₁, and common…

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Q: Consider the vector field (2,0,0) xr, where r = (x,y,z). a. Compute the curl of the field and verify…

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Q: Use cylindrical coordinates. Evaluate 16π JE I x² + y2 dV, where E is the region that lies inside…

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Q: Find the average value of the temperature function T(x,y,z) = 80-20z on the cone The average…

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Q: 6 6 1 (2) dx = -4 and 1(a) de -2 g(x) dx = -3 -3 Suppose f(x) dx I Evaluate 6 [(4 f (x) – 4 g (x))…

A: ∫ab[cf(x)± dg(x)] dx = c∫ab f(x) dx ± d∫ab g(x) dx .

Q: Find the intersection of the plane x - X = y = - 4y - 5z = -137 and the line r(t) = (5, −5, −4)t +…

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Q: Using the given graph of f (t), evaluate 8 f f(t) d t = 0 Number

A: ∫abf( x )dx = Area under the curve f( x ) from the point a to b ∫08f( t )dt = ?

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

A: Using application of derivative, we can find maximum and minimum value of function.

Q: Consider F and C below. 1 F(x, y) = (7 + 6xy²)i + 6x²yj, C is the arc of the hyperbola y = — from…

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Q: Consider the following. Find g'(x). g'(x) = X = g(x) = Solve g '(x) = 0 for x. (Round your answer to…

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Q: If 10,800 cm² of material is available to make a box with a square base and an open top, find the…

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Q: T1. Solve the following differential equations d²y dx² +9y=9 sec² (3x) 2) dx² 3x dx + 4y = x²…

A: Since, you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: Find the compound amount for the deposit and the amount of interest earned. $750 at 6.3% compounded…

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Q: If we apply Rolle's Theorem to the function f(x) = 2x² - 12x - 2 on the interval [1,5], how many…

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Q: By the Fundamental Theorem of Calculus, Part 1 4 ["* vi(2+1)dt = ["^(2√²+11) de dt 4 - = ( 5 -t² +…

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Q: = $_² FAN- C &

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Q: Determine the area of the triangle formed by the following lines (can assume a > 0).

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Q: part. 3D Coordinate System - Spheres 3D Coordinate System - Spheres Part 3 of 3 Write an equation to…

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