Write the complex conjugate of the complex number. 6 + 5i Multiply the number by its complex conjugate. (Simplify your answer completely.)

Q: Write the infinite series using sigma notation. 7 7+ Σ 7 7 + 625 7 25 125 = U ||

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Q: Let the region be bounded by the curves y= 2 /x and y = 4, and x 16. i) (ODraw this bounded region…

A: Given problem:- Let the region be bounded by the curves y = 2√x and y=4, and x = 16   i) Draw this…

Q: Given •7 6. f(x) dx = –10 f(x) dx = 8 %3D g(x) dx = –1 g(x) dx = -8 , %3| compute the following…

A: Integration

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Q: Find the total area of the region between the x-axis and the graph of y = - x´ - 3x, - 4 <x54.

A: Given query is to find the attached area of the region.

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Q: : Find the following indefinite integrals.

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Q: 1. dy for each of the following relations: dx Use implicit differentiation to find x' + y = 6 2xy –…

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Q: Let 8n an 1- 2n For the following answer blanks, decide whether the given sequence or series is…

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Q: 2x dx ∞ (x²+5)3 Evaluate the integrals that converge Identify the conic write in standard form and…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1 dx – 1 /3

A: The given integral,       ∫3∞1x-1dx

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Q: cos“ x 1- sin x

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Q: r = 3 - 4sine

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Q: A car rental agency rents 190 cars per day at a rate of $40 per day. For each $1 increase in rate, 5…

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Q: 4. The last major earthquake in the Bay Area was in 1989 and measured 6.9 on the Richter scale…

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Q: The marginal cost for a company to produce q items is given by MC(q) = 0.003q - 0.5q + 620. The…

A: Given: Marginal cost for a company to produce q items: MC(q) = 0.003q2 - 0.5q + 620 Company's cost =…

Q: What is the equation of the line that is parallel to line m and passes through (8,-7)? 10 8 4 2…

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Q: V(t) = 2tv/10 – t

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Q: -1 If f (x) = sin(x), then what is the value of f' () in simplest form? %3D

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Q: 2. A spherical snowball melts at a rate of 367T in /sec. At what rate is the radius of the snowball…

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Q: For all integers x and y, if 6x+y is odd, then x and y are both odd. True False

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Q: Use a linear approximation (or differentials) to estimate the number V100.5

A: To find 100.5Let y=xLet x=100 and ∆x=0.5⇒y=100y=10Differentiate…

Q: (5) Consider the several variable function f(x, y, z) = xe²y + yeš + ze¬². Give a general formula…

A: The given function,   fx,y,z=xe2y+ye3z+ze-x

Q: 4. If > Cn (T + 2)" converges for -5 < x < 1, find the radius of convergence of the series. n=1

A: The given power series is cn(x+2)n , n from 1 to infinity.

Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: Given query is to find the velocity after 5 second.

Q: Solve D.E using Exact from first order 2.xy dx +(x² +3y²)dy

A: To solve the given differential equation.

Q: The graph of f(x,y)=++13xy has X y -13ху O One local maximum point only. O One local maximum point…

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Q: Find the area of the region under the graph of f(x) = 2x² – 4x + 2 on [-2, 3].

A: Given query is to find the area under the curve.

Q: 1 f(z) = |, + tdt If then f'(x) = 3x^6 f'(-3) = 729

A: fundamental theorem

Q: (2.x* + 5x" – 11) dx = |

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Q: Find the point on the surface f(x,y)=x2+y2+xy-26x+29y at which the tangent plane is horizontal.

A: For Given surface f(x,y) The slope of horizontal tangent plane is equal to zero.

Q: Solve D.E using bernouliis equation r'y-x'. dy x'y-x' . dx = y* · cos(x)

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Q: Find the limit. lim (2 – x) tan(3«) %3D x>1

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Q: In practical applications the Richter magnitude depends on local geological factors and the average…

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Q: f (x) = 1/Va; [1,9]

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Q: A particle moves along the x-axis such that at any time t > 0 its position is x(t), its velocity is…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

Q: 2. Let g (x, y) = 2x² – y² . Compute 9(1, 2), g (2, 1), g (1, 1), g (–1, 1) and g (2, –1).

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Q: 8. y = x³ + x , 0 < x < 2

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Q: 2. sin 4x da =

A: Given query is to find the integral of the expression.