Find the center and the radius of the circle with the equation x2+12x+y2+6y−99=0   Enter the center as an ordered pair (x, y).   The center is        The radius is

Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Set up the…

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Q: 3. How much work does it take to pump the water in a full tank to 2 ft above the tank in the…

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Q: Using the letters in the word COSINE arranged in random order, what is the probability that the…

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Q: 100 (e) Σ199 2i(i3 – 1) i=1

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Q: 2. (4x³ - 3x² + 2x) dx

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Q: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√/s s4

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Q: cos 3t dt 5 + 3 sin 3t Ocos 3t

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Q: d. e. f. 1 R, Re 1 1 + 4.5×10²2 9.4×10² (1.7×10³ J)-(3.3 × 10² J) (1.7×10³J) = - e= (1.33) sin 25.0°…

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Q: Evaluate the integral √ (k+ 2) ( k + 3) dx

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: sin(7) 8 What is the exact value of Show your work for full credit.

A: Given sin7π8 sin7π8=sin-π8+2π=-sinπ8Find  sin ( π8 )  by using trig identity:cos 2 a = 1 − 2 sin2 a…

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: find inverse 5-11 -7-9

Q: Ice O 3.19 O 13.9 O 12.6 O 16.1 O none of the above (ezt - e-²t)² dt

A: Given that a integration and we solve this integration by using general formula of integration. Here…

Q: Determine the angle formed between the following two planes: T1: 5x - 4y+z=3=0 T2: 3x - 4y + 2z+8=0…

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Q: 1) If y = (x-a)√2ax-x² + + a is constant. x- -1(*-ª) ,then y' = 2√2ax - x² a² sin-¹ a²

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Q: Find the average value of the function on the given interval. f(x)=x²-7: [0, 1] Set up the integral…

A: Average value of a function f(x) on [a,b] is given by, V=1b-a∫abf(x)dx

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: topic- quadratic equations and derivatives

Q: * Let R be the region in the first quadrant bounded by x^2 +y^2 = 4, y^2 = -x+4 and y=0. Set up the…

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Q: Find dy/dx by implicit differentiation. (cos X + sin #Y)5 = 49

A: The given equation is;  (cos pi x +sin pi y) 5=49.

Q: Charles plots the point with the polar coordinates (-5,-). How does he plot this point? Drag a value…

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Q: The height of the ball when its velocity is 0 ft/sec. is feet.

A: First, we will find the velocity of the ball at t second. Then we will find the value of t for which…

Q: Find the area under the curve 4x2-3x+6 between x= -2 and x=3

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Q: I. 2.) Simplify. Write "undefined" for expressions that are undefined. 2 5 3 2 41610 + -6 -6 2 2

A: Given:26-64.53-62+1220We need to simplify.

Q: What constant acceleration is required (a) to move a particle 50 ft in 5 sec; (b) to slow a particle…

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Q: Find the present value of a continuous stream of income over 5 years when the rate of income is…

A: On solving this we will get

Q: Find the equation of the tangent line to right branch of the hyperbola π π x = sect, y = tant, ≤t≤at…

A: Given :x=secty=tant

Q: For the rose r = 4 sin(20) and circle r = 2 shown in the figure. Find the area inside the rose and…

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Q: Evaluate (2a² y +9y³)dA, D is the region bounded by y 33522 a. 5 Ob. 4811 5 C. None of the choices.…

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Q: cos sin-cos -d0

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Q: 3. I. Evaluate each determinant. -1 5 3 2 3

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Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y =…

A: follow next step

Q: The graph of a function y = f(x) on the interval [ - 3, oo) is shown below. Use the graph to answer…

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Q: 1. f³₂ (x² − 3) dx -2

A: Given :∫-23x2-3dx

Q: The equation y-(5)=2(x-(3)) in slope intercept form is y=?

A: The equation y-(5)=2(x-(3)) in slope intercept form is y=?

Q: Find the area of the region in the first quadrant bounded by the curve y = √x² +5, the x-axis and…

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Q: I. Solve the following Linear Systems of Equations by Gaussian Elimination: 1.) 6x + 2y4z = 15 -3x -…

A: To solve the system using the gaussian elimination method.

Q: tanx - x x-0 x - sinx 1. lim

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Q: Let f be a twice differentiable function on an open interval (a, b). Which statements regarding the…

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Q: The population of a city is 145,000. It declines continuously by 3% per year. ..... Assuming this…

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Q: The bacteria in a certain culture increase according to dN/dt = 0.25N. If originally N = 200, find N…

A: Integrate the equation.

Q: 3z (1-4z-2z²)² dz

A: Given, ∫3z1-4z-2z22dz Formulas used: ∫xndx=xn+1n+1∫1xdx=lnx

Q: 0<x (x^L - x)x = (x)ƒ

A: answer is in next step. please give a like !!

Q: Use finite difference approximation to find the values of y(0.25), y(0.5), and y (0.75) for the…

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Q: 1.) a function f f (x,y, 2) = 2-eªsing is given. of this function p= ((n 3, 31,-3) at the point what…

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Q: In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the population had…

A: Given  Population in 2000 = 45,000  Population in 2010 = 65148

Q: In 7 + 4√3 2.63391 ≈

A: The given expression is  ln7+43

Q: Given the definite integral, its limits are to be substituted to x³ dx x + 1 x² x² 2 x3 3 Option 1 +…

A: Given problem:-

Q: Given I(0) = cos (0 + π), (a) Find I(-) analytically. (b) Find I' numerically by using a central…

A: Given: Iθ=cosθ+π. (a) Differentiate with respect to θ, I'θ=-sinθ+π…

Q: Let p(t) represent the population of a major city t years after 1950, as shown in the table and…

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Q: 65

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Q: What is the solution of the given ODE * xy' + y = √x /2 x = {√x + ² y = {√x + = 2 y 1 x Option 1…

A: Given problem:- What is the solution of the given ODE*   xy' +y= √x