SHOW COMPLETE SOLUTION Find the points of intersection between the circle (x-2)²+(y-6)² = 40 and the line 3x - y = 0

Q: (5) Determine if the alternating series converges Σ(-1)^n. 8 n=2

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Q: The population of a country will quadruple in 2 years. If its current population is 13000, what will…

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Q: Let F(x, y) = (x + y, x²), and let 7(t) be the parameterization of the line segment from (0, 4) to…

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Q: Find f′(x) and simplify.   f(x)=6x5 (x 4 − 2)  F'(x)=.......?

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Q: (9) Determine whether the improper integral converges or diverges. Evaluate the integral if it…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: (c) f(x, y, z) = ln(x+y+z)+√√√x+y+z x+y+z xyz

A: As per bartleby guidelines we only give first question answer. Please repost for other parts.

Q: 3. Use the Ratio Test to determine the convergence or divergence of the series. 00 n! a. En=0 3"

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Q: (b) Hence find the value of S² S ²² 2y(1 + y²x) e¹²x dx dy.

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Q: A 16cm wire is cut in half and each half bent into the shape of a square. One bigger one smaller.…

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Q: Express the angle -150° in rad 1. 2. - 6. 5 1|32|2N|LA 6 3. 4. None of these 5. 11 6 k 11 7T kgk k…

A: We have to change in radian form from the given degree

Q: Problem 6. that the pattern of the first few terms continues. (a) { 1 1, Find a formula for the…

A: Given Sequence :- (a) 1,13,15,17,19,....... (b) 2,-43,89,-1627,3281,.....

Q: Find the equation of the lines tangent to the curve x² + y² = 4 and parallel to the line x = 3 ?…

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Q: Find y' if x = y*. C Note: Leave your answer in terms of ï and y. y

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Q: x) = (x-10) ¹

A: Given query is to find the critical points.

Q: Determine the type of conic section that each general equation will produce. a.)x²+y²+8-4y-2=0…

A: To determine the type of conic section.

Q: Problem 8. Write out five terms of the sequence bn approximate the logarithm terms using a…

A: Given; bn=ln(1+2en)/n

Q: Find a value of c so that f(x) is continuous at x = 1. f(x) = O c=1 O None of these Oc=0 ○ c= -1 O…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 2 - 1² st F(x) = F'(x) =…

A: Please see the below picture for detailed solution.

Q: 1. Evaluate the following integrals: 5/2 d. S3 1 1/2 2 2x -x -dx

A: The integral is  ∫1/25/2 12x3-x2dx

Q: a. 4x² + 12x + 4y² + 16y - 11 = 0 b. x² + y²-6x + 4y +4 = 0 c. x² + y²-4x-8y + 20 = 0

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Q: 1. Determine the type of conic section that each general equation will produce. Show your solution.…

A: As per the rules, we are supposed to answer the first question and rest can be reposted.

Q: A house was valued at $100,000 in the year 1991. The value appreciated to $175,000 by the year 2002.…

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Q: Consider the following. 4 + e¹- 4x = 25 (a) Find the exact solution of the exponential equation in…

A: To solve the given exponential equation

Q: 4. A parabola has focus F( 11, 8) and directrix x= -17. Find its standard equation

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x.  f(x)= 4+7ln;…

A: Given query is to find equation of the tangent.

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.…

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Q: Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t…

A: Given data as: and  Length of time interval∆t=10 sec.

Q: A stone is thrown vertically upward with a velocity of 96 ft/s from the top of the tower 112 feet…

A: Given query is to find equation of the motion.

Q: Find the coefficient of x18y¹2 in the expansion of (-2x6 + 2y³)².

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Q: Evaluate the following integral in spherical coordinates. 2 /4 4 csco 2 SS S p² sin o dp do de Ο π/6…

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Q: Question 1 [ a) [ b). Consider the function f(x)=x²+3x+c Find the domain of f(x) in terms of c on…

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Q: 6.) f(x) = HOLE(S) x²+x-2 (x+2)(x²-2x-15) VERTICAL ASYMPTOTE(S) HORIZONTAL ASYMPTOTE -10 10T 8- 8-…

A: The function is  f(x)=x2+x-2x+2x2-2x-15

Q: (c) Find the value of √a²-x² [₁ 2(x + y) x² + y² giving your answer in terms of a. 1+ -dx dy,

A: The given integral is:∫0a2-x2∫-aa 1+2(x+y)x2+y2 dx dy

Q: A bacterial culture grows according to the formula P = Poat. If it takes 9 days for the culture to…

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Q: Find x. Round your answer to the nearest tenth of a degree. 15 x 12

A: As we know from the trigonometric ratios:…

Q: Problem 3. evaluating them. ∞ 1 So₁² (2-3)³/2 5 dx Determine whether each integral is convergent or…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the velocity, speed, and acceleration of the following position vector (t). (a)_7(t)=(t³ +1)ī…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: lim (x,y)->(0,0) sin xy² 1² x² - xy lim (x,y)→(0,0) √x - √y

A: 1) Lim(x,y)-(0,0)Sinxy2/y2 2) Lim(x,y)-(0,0) (x2-xy)/(sqrt(x)-sqrt(y)).

Q: The Divergence Test for infinite series (also called the "n-th term test for divergence of a…

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Q: For an as follows, write the sum an as a geometric series. a1 = 1 17 and an an + 1 = −17 for n ≥ 1 ∞…

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Q: The matrices A and B are given by and C = BA. Give the value of c 2,1. a) 06 b) O-1 c) 00 d) 08 e)…

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Q: Suppose f''(x) = 42x + 16e-4x, ƒ'(0) - 14, and f(0) = - 9. Then f(x) =

A: See this solution in below.

Q: Graph the following function and find the area under the curve on the given interval. f(x) =…

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Q: 2. Evaluate = I= √²² + y² + 2² av where E is the region enclosed by the the sphere x² + y² + 2² =z.…

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Q: 9. Find the distance between (1,) and (1, π). (a) (c) √2 √3 (b) 2 (d) √π

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Q: Obtain the general solution by the indicated technique: separation of variables 1.1 adß+…

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

Q: By natural increase, a city, whose population is 40,000, will double in 50 years. There is a net…

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Q: Water is leaking out of an inverted conical tank at a rate of 8000 cubic centimeters per min at the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: If t = 3' a) sin t 1. 39463NT 2.0 3. 5. 7. 6. None of these 1 √2 005 (part 2 of 3) 1 1.1 2. 2936 co…

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