Find the sum of the convergent series. 6 0.6 +0.06 + 0.006 +. .

Q: 3x2 + 9x + 6 Given the function f(x) = identify the x2 +x - 2 following. a) y-intercept: (0,_) b) x-...

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Q: If 0 is a first quadrant angle where P(u, v) = (-1, -2), tan 0: 5 + V5 - V5 5 - 5 - V5 5 + V5 5 - V5...

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Q: Find the area of the surface obtained by rotating the curve y = 3x2 from point (4, 48) to the point ...

A: Let's find. 

Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a di...

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Q: 1 x =e" cos v, y=e" sinv uaz เมื่อ แ=1 และ "=- 3 และ ĉu Find

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Q: S-) dx 5.

A: Formula:∫ 1x dx = ln x+ C∫1a2+x2dx = 1atan-1(xa)+ C I=∫1x-5x2+1 dx=∫dxx - 5∫1x2+1dxI= ln x - 5 tan-1...

Q: a) y = cos(e 2x) (e2x) -1

A: Differentiate wrt x

Q: Find two points where the curve x + 5xy + y = 23 crosses the x-axis. The tangents to the curve at th...

A: The given curve,     x2+5xy+y2=23

Q: y' = 2aye (5)² 2 y²+y²e(#)¨+2»²e÷) 2 +2x?e(7)

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Q: Match the following improper integral with the improper integral below in which you can compare usin...

A: Need to check the convergence by comparison test. Given The improper integrals are  A∫1∞1xdx, B∫1∞1x...

Q: A train moves at a velocity of v(t) 3t 32007 km/sec where tin seconds is the time passed since the t...

A: We have a given velocity in term of time . We know , acceleration=dv/dt.

Q: A snowboarder slides up from the bottom of a half-pipe and comes down again, sliding with little res...

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Q: Find the quotient. Cos(pi)+isin(pi)/cos(5pi/6)+isin(5pi/6)

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Q: Find the interval of convergence for the given power series. Use interval notation, with exact value...

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Q: Consider the two-dimensional vectors a and b. a = ,  b = Find the measure of the angle ? between a ...

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

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Q: The points (4, 5, 2), (1, 7, 3) and (2, 4, 5) are vertices of alan h O Equilateral Triangle O Scalen...

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Q: The cylindrical equation z = r2 represents which of the following? O a paraboloid O a semisphere O a...

A: The cylindrical equation z=r2

Q: Find limit lim (x,y) -> (2,0)   ((Sqrt(2x-y)-2))/(2x-y-4)

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Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 65°C, it...

A: Given:    T (surroundings temp)= 20    T0 (initial temp)  = 95   Now      T = 65  dT/dt = 1

Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural nu...

A: 9. y =cosx nth derivative and n is divisble by 4  it means n is even number 4,8,12...ny so lets chec...

Q: Find y" if y = x + (x + 2)³ when x = 1 О а. 28 O b. 16 О с. 9 O d. 18

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Q: Consider the following function. g(x) = 220 + 8x3 + x4 (a) Find the intervals of increase and decrea...

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Q: QUESTION 1 What is y" if y = x2 when x = 2? О а. -3/8 O b. 1/4 О с. 3/8 O d.-1/4

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Q: Select a correct statement concerning the curvature of the graph y = x2 on the xy-plane. O The curva...

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Q: x +1 at (2,3) is x- 1 The equation of the tangent to the curve g(x) = 1) y = -2 2) y = 3x - 3 3) 2x ...

A: To find the tangent to the curve

Q: 1. Find the general solution of (y? – 1) = 4xy? dy %3D dx

A: Topic:- differential equations

Q: T "cos(x²)dxdy? What is the reversed order of integration of 'y a. I T cos(x²)dydx ST"cos(x²)dydx O"...

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 dv 3 V

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Q: What values of a and b maximize the value of (x-x²) dx.

A: Find your answer below 

Q: 87 1

A: Given query is to simplify the expression.

Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the...

A: we know that Z=x+iywe have the point as A=-1-i2 in complex plane =(-1,-12) in cartesian coordinate (...

Q: Rewrite the expression sin(x)tan(x) + cos(x) in terms of cos(x). sin(x)tan(x) + cos(x) Preview Box 1...

A: We have to write this expression in terms of cos x. 

Q: Find the quotient. 8(cos(40degrees)+isin(40degrees))/16(cos

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Q: Using double integration, find the volume of the solid bounded by the plane z = 0 and above by the p...

A: Using double integration, find the volume of the solid bounded by the plane z = 0 and above by the p...

Q: Give an example of a vector-valued function 7 (t) such that its unit tangent vector T(t) is defined ...

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Q: Set up the itegral that represents the length of the curve for 4=L x4 +L 4x2 for 12x< 2. Do Not eval...

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Q: State the domain, vertical asymptote, and end behavior of the function.   h(x)=−log(3x−5)+6   En...

A: The given function,     h(x)=-log3x-5+6

Q: A gardener wants to enclose the area outside of his house for his plants and flowers. One side will ...

A: Given that Area =150 m2Solution:Area =xy xy=150y=150xperimeter=2x+yp=2x+150xfor maximum perimeter dp...

Q: Set up (Do not Solvel) the volume of the sold whose base is bounded by the graphs of yx+1 and y x?. ...

A: Given y=x-1y=x2-1The cross section are perpendicular to the x -axis are equalatral triangles a=x-1-x...

Q: The equation a² + y? + 4z2 = 25 in R° describes

A: We have to describes the given equation in R^3

Q: Without solving the equation, determine the discriminant and the nature of the roots. x 2 + 7x - ...

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Q: Find the area of the surface obtained by rotating the curve y = sin about the x axis for 0 < x < 7n ...

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Q: Given the graph below, evaluate the following limits: y = b Retrieved from:basiccalc_initial_release...

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Q: Suppose that f(x) is a function with f(145)=31 and f' (145)= 9. Estimate f(149.5) f(149.5) = ______

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Q: 14. What is the first derivative of f (x) = (x²- 4)(3x - 2)? %3D a. 9x2- 4x – 12 С. 6х d. (x + 2)(x ...

A: first derivative of f(x) = (x2 -4)(3x-2) f(x) = 3x3 -2x2-12x +8 now df(x)/dx = 9x2 -4x -12 so answer...

Q: 9. A thermometer reading 34°F is brought into a room with a constant temperature of 80°F. If the the...

A: Given: Newton's Law of Cooling: u(t) = T+(u0-T)ekt Where u(t): Temperature after time t T: Temperatu...

Q: 22. If y = x+4 then what is 4Y? dx dy a. 4x(x + 4) dy С. dx -4Vx + 8 dx dy b. dx =-4(x + 4)= d. dx 8...

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Q: 1 x =e" cos v, y=e* sinv uaz == vuv เมื่อ แ =1 และ "= 3 Find และ

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Q: Problem Consider the surface defined by f(x, y) = ln(5y – 7.x). Find the equation of the tangent pla...

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