As PQR in sicle Circl x²+4=25 Such that & & Rone (3,4) 8(-4,3) fmd

Q: 13. Σ n-2 -1. In n

A: Given a series  thenThe given series is convergent if p>1The given series is divergent if

Q: Use Theorem 1 to determine the limit of the sequence or type DIV if the sequence diverges. an √97³42…

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Q: Let lim g(x) = 5 and lim h(x) = 2 x→4 x →4 Determine the value of the limit h(x) lim x→4 x + g(x)…

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Q: Find the arc length of the graph of the function x = (y² +2)² over the interval 0 ≤ y≤5.

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Q: x 6. Differentiate: y = x² + 3x - 1 A. C. x²+1 x²+3x-1 -x²+1 (x²+3x-1)² 0 2x²+3 eldet 10-(x²+1) B.…

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Q: The velocity function, in feet per second, is given for a particle moving along a straight line.…

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Q: Region: y = 3x √₁+x3 x-axis, 0≤x≤3. √1+x³¹ Rotated about: y-axis

A: To find the volume of the following region.Region: Rotated about: -axis

Q: Convert the point from rectangular coordinates to spherical coordinates. (-1, 2, 1) (p, 8, 4) = ( X

A: The point in cartesian coordinate is given byTo determine: The point in spherical…

Q: Find the absolute extrema of the function h(x)= (x, y). Absolute minimum point: Absolute maximum…

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Q: The rectangular coordinates of a point are given. Plot the point. (-2√/2,-2√2) 2 4 X -4 -2 4 X

A: The given rectangular coordinate isSo here we have,

Q: The surface area of a cube is increasing at a rate of 489.1 cm²/s. At what rate is the side length…

A: The surface area of a cube is increasing at a rate of 489.1 cm2/s.To find the rate at which the side…

Q: 1. For the following exercises, graph one period of each given function. Be sure to clearly label…

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Q: Find equation of the tangent to the curve at the given point x=t^2-4t, y=t^2+4t+1; (0,33)

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Q: Find all critical points of the following function. f(x,y)=112x³ - 21x+5y² Select the correct choice…

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Q: What are the projections of the point (4, -4,5) on the coordinate planes? On the xy-plane: On the…

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Q: (b) The pitch of a note (how high or low the note sounds) is determined by the frequency f. (The…

A: As per your request, we can answer only part (B).The frequency is given bywhere L is the length of…

Q: Which of the following statements regarding absolute extrema is/are correct? An absolute extremum of…

A: The conditions for the existence of absolute minima and maxima in a closed interval for a continuous…

Q: 4. Students were asked to formulate the system of equations needed to solve the following problem:…

A: Let x = amount of beansLet y= amount of bread

Q: Suppose upon applying Cramer's Rule to a system of equations in x, y and z, you get: D = 0, Dx = 0,…

A: Given that by applying Cramer's Rule to a system of equations in x,y and zwe get

Q: Find two other pair of polar coordinates one with r>0 and r<0 for  (6,π/4) (-5,3π/2) (3,-π/3)

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Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges…

A: The given geometric series is

Q: Convert the point from cylindrical coordinates to rectangular coordinates. Зл (x, y, z)= 6, × )

A: Given  cylindrical coordinate is .We know in rectangular coordinates,

Q: Suppose that R is the finite region bounded by f(x)=√x and f(x)= =√x and f(x) = 3 Find the exact…

A: Find the point of intersection between two curves:

Q: Find the local maximum and minimum values of fusing both the First and Second Derivative Tests. (If…

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Q: A manufacture has been selling 1000 television sets a week at $450 each. A market survey indicates…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 3 sin(x) + 3 cos(x),…

A: Consider the function (a) The intervals on which the function is increasing or decreasing can be…

Q: 2x Use the function f(x) x² + 5 (a) Find the interval(s) on which f(x) is increasing. Number of…

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Q: Convert the point from cylindrical coordinates to spherical coordinates. (6,2,0) (p, €, p) =

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Q: Given that 1 1-x = M8 n=0 x" with convergence in (-1, 1), find the power series for 1 9-x with…

A: Given that

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -5…

A: Consider the fucntion

Q: Find all the values of x such that the given series would converge. 8 xn n=1 (6)" (√n+7) The series…

A: The given power series .The aim is to find the interval of convergence of the power series.

Q: You have 830 ft of fencing to make a pen for hogs. You have a river on one side of your property and…

A: Given Length of the field is l Given width of the fiels is w Total perimeter of the field is given…

Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

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Q: The region bounded by the curve y = √x, the x-axis, and the line x = 4 is revolved about the x-axis…

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Q: A ship's course is set at a heading of 192", with a speed of 30 knots. A current is flowing from a…

A: Velocity of ship is 30 knots with angle 192°And velocity of current is 14 knots with angle 112°. We…

Q: (x+b, x≤1 16. f(x) = ax², x>1' Let f is the function given above. What are all the values of a and b…

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Q: vnd line directional derivative of the function f(x,y)=In (1+x² + y²) where u= 0√10+2√√10x 10+…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = (a) Find the interval…

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Q: 7. Graph the piecewise function. f(x) = = 2x -2 (x²²=2 ) if -3 ≤ x < -1 ; if = 1 ≤ x Zo if x=0

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Q: find the derivative a. f(x)=[ln(5x^2+9)]^3 b.f(x)=ln(5x^2+9)^3

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 8x², z = 1, and y = 0,…

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Q: Use the first derivative test to locate the relative extrema of the function in the given domain,…

A: The given function is

Q: Given sin(a)= and 0 < a </2, find the exact value of sin(a/2). Note: You are not allowed to use…

A: Given that the expression

Q: A man plans to retire in 30 years. While working, he intends to deposit money each month into his…

A: Here we have, FV=1000000 (future value)r=6.75%=0.0675n=12 for the monthly payment.t=30 years

Q: Find the absolute maximum and minimum values for the given function over the specified domain. f(x)…

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Q: Find the derivative of the function f(x) = O 4x³ - 2e²x -sin 3x x4-2x sec Br O-4x³e-2x cos 3x -…

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Q: Consider the indefinite integral 152³ The integrand has partial fractions decomposition a b cx + d…

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Q: Solve the following integral: S ln cx) dx

A: The given integral is lnx.

Q: Use a calculator and evaluate A to the nearest cent. A = $5,000e1t for t= 3, 7, and 10 Ift=3, A $…

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Q: (8) Find the value of c guaranteed by the Mean Value Theorem for f(x) = 2/²/²/1 I [3, 5]. (A) 1+ 2√2…

A: Since you have asked multiple questions in a single request so we will be answering only first…