What are the radius and the coordinates of the center of the circle with equation x2 +(y-2)2=30

Q: Find the point on the curve e +x where the tangent is parallel to the line y = x.

A: The given equation of the curve is  and the equation of the tangent line is

Q: Find the radius of convergence, R, of the series. R = Σ 5(-1)"nx" n = 1 Find the interval, I, of…

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Q: c) 4-x² 2x²-5x-3

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Q: The graph of a derivative f' (x) is shown in the figure below. LA 1 2 3 4 5 6 -3 Enter the exact…

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Q: Find the indefinite integral of the function g(x)=e^(2x) sin(3x)dx

A: The objective of this question is to find the indefinite integral of the function g(x) = e^(2x)…

Q: Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms.…

A: Consider the series

Q: 4x Suppose that Σε (9+ x) n=0 Find the first few coefficients. =

A: 4x(9+x)=∑n=0∞cnxnWe know that the Mclaurin series of 11+x11+x=∑n=0∞(−1)nxn

Q: Use calculus to show that if f(x) = (x − a)²g(x), where both f(x) and g(x) are polynomials, then…

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Q: Find the areas of the shaded regions in

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Q: Below is the graphs of fox & gcx), & their tangent lines at x=2. fy=1.8(x-2) 9 9= ²/3 (x-2) a) lim…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Consider the series. 8n (n+1)4²n+1 In this problem you must attempt to use the Ratio Test to decide…

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Q: Evaluate the integral: 0 x = (A) Which trig substitution is correct for this integral? Ox= 16 sin(0)…

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Q: b) 9-x² x²+4x+4

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Q: Find f. f(0) = f "(0) = sin(0) + cos(0), f(0) = 1, f(0) = 1, f'(0) = 3

A: Given that the expression

Q: Evaluate the integral. 1/2 12/23 dx 5/ 16x2 - 1 V2/4x5

A: To evaluate the following integral.

Q: Find the slope of the curve at the given point. 5y5+3x3 = 2y + 6x at (1,1)

A: We have given an implicit function5y5+3x3=2y+6x

Q: At which of the value(s) of x below does f(x) = ²³² +5x² + 25x + 1 have a horizontal tangent line? O…

A: Given that, the function is .We need to find the value of x for which the given function has a…

Q: The estimated change in area is m² (Type an exact answer, using as needed.) The estimated change in…

A: The radius of a circle is increasing from 9.00 to 9.09  mdr=9.09−9.00dr=0.09 mr=9 m

Q: Find the exact value of each of the following under the given conditions. 6√85 85 5 sin a = 13 (a)…

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Q: Find the point on the curvey=e* + x where the tangent is parallel to the line y = x.

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Q: Find a simplified series representation of x²e4 answer = n

A: The given function is x2e4x.

Q: The figure below shows human arterial blood pressure during the course of one heartbeat. arterial…

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Q: Estimate the average value of f(x) from x = a to x =b using the figure. The average value of f(x)…

A: We are given a graph of function . From graph it is clear that function is continuous on [a,b].We…

Q: Given the function f(x) = 5x² − 3x + 9 and the point P(-4, 101), which lies on the graph of f(x),…

A: The objective of this question is to find the equation of the tangent line to the function f(x) =…

Q: = 16 a Problem #3: Find the surface area of the part of the paraboloid z = 64 - x² - y² that is…

A: z=64-x2-y2x2+y2=16The surface area is given by

Q: Find the equations of the tangent and normal lines to the graph of the function at the given point.…

A: The equation of the tangent line  to the curve y= f(x) at x= a is  The equation of the normal line…

Q: What are the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

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Q: Graph the function for one period. =tan(лx/2) for 0.5 1.0 1.5 y y-intercept 1.0 vertical asymptotes…

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Q: didnt work

A: We have to find the rate of change of difference of temperature.

Q: ying Polynomials Simplify the product using the distril (x-2)(x+6)

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Q: et P(x, y) denote the point where the terminal side of angle 8 (in standard position) meets the unit…

A: The figure

Q: * Find dy dx = the general Solution of :- - X+3x2 √x² + 2x³² 2

A: We use the variable separable method to solve the given differential equation.

Q: Use Stokes' Theorem to evaluate f F · dR, where F = yi + zj + xk where c is the triangle given by…

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Q: Find the domain of f(x). f(x)=√x² + 7x + 10

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Q: 18. Find the volume of the largest right cylinder that can be inscribed in a cone of height 20.00…

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Q: 9. The angular displacement of a spinning shaft is given as = 0.7t² - 5t+3, where is in radians and…

A: Given that the angular displacement of spinning shaft is where  is in radians and t is in seconds

Q: sin²(x) — cos²(x) = 0.2

A: solve

Q: For the sequence defined by: a1 = 2 an+1 = Find: a2 a3 a4 = 4 an - 3

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Q: A company manufactures and sells x television sets per month. The monthly cost and price-demand…

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Q: ¡¡¡ ³² 2 cos (x²) 0 0 4у Evaluate the integral 2 cos (x²) 00 4y 5√√Z (Type an exact answer.) -dx dy…

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Q: Σ(17)

A: ∑n=1∞(3n+7n11n)

Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 4 ft/min.…

A: A circle has an initial radius of 50 ftr=50 ftRadius begins decreasing at the rate of 4…

Q: Find the limit of the sequence as n approaches infinity: 5n 3 5n+ 5 an - -

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Q: Prove that the volume of a sphere of radius r is r³ by evaluating the appropriate multiple integral…

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Q: The legs of an isosceles right triangle increase in length at a rate of 3 m/s.   Part A At what rate…

A: The legs of an isosceles right triangle increase in length at a rate of 3 m/s.Part A:To find the…

Q: Use the identity 2 sin æ cos x = sin(2x) to find the power series expansion of sin² x at x = 0.…

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Q: Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that…

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Q: If sin(-s) = 5/13, and (a) (b) (c) (d) sin s cos(-s) COS S 3πt < s < 2π, compute the following.…

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Q: 11. A car drives towards a 111 m skyscraper at 7.62 m/s. How fast is the car approaching the top of…

A: Given that :Height of the skyscraper =  mSpeed of the car =  m/sTo find :Rate of change of distance…

Q: 57. Orbital Launches In 2012 there was a total of 78 commercial and noncommercial orbital launches…

A: In 2012 there was a total of 78 commerecial and noncommerecial orbital launches worldwide. In…