C. Find the standard form of the equation of a circle given the following conditions. 12. Center at (2, m), radius is twice the y-coordinate of the center, and passes through the point (0, 1)

Q: 1. 15mg of Carbon-14 decays at a rate of .012% continuously a. How long until you are down to 10mg…

A: Given problem:- 1. 15mg of Carbon-14 decays at a rate of .012% continuously a. How long until you…

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

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A: The given limit is: limx→0cosx-1x   As we know that; cos-θ=cosθ

Q: Find the decomposition a = ªb + ªь with respect to b if a = (x, y, z), b = (-1,-1,-1). (Give your…

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 lim 11 lim #→-1+ 54 4 3 2 |-1 -2 N -3 4 -5- f(x)…

A: Topic- Limits and Continuity

Q: D] Find composite functionsf(g(x)) and g(f(x)) for given f and g 1) f(x) = 3x + 1, g(x) = 2x² 2)…

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Q: Make a table of values for the equation. x + y² = 9 X Sketch a graph of the equation. у -2 -1 0 1 2

A: Substitute y=-2 in x+y2=9 and calculate the value of x.       x+y2=9x+-22=9       x+4=9…

Q: 2. Use the graph in Fig. 11 to determine the following limits. lim f (x) lim f(x) lim f (x) (b) lim…

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Q: 1. Solve the following initial value problems. (a) y = r cos(1²), y(√) = 1 (b) y" = r², y(0) = 3,…

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Q: 3. Doubling time is the amount of time it takes to double an initial deposit. You deposit $20,000 in…

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Q: The revenue function is given by R(x) = x p(x) dollars where x is the number of units sold and p(x)…

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Q: What is the range of the function shown? Y 1 1≤x≤3 1≤ y ≤3 -3 ≤x≤3 -3 ≤ y ≤ 3 I -2- 4

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Q: 65. Lim (1+h) ³-1³ ho h

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Q: numbers a and b, or k, so that f is continuous at every point. 4) x2, x -4 A) a = -9, b = 20 120 15)…

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Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

A: To find the slope of the secant line.

Q: A function is given. Determine the average rate of change of the function between the given values…

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Q: Determine the domain of the relation graphed below. Ⓒ (-4,5) KD 1-4 51 CHAUS SH TEAT 2 0 NE O E 2: m…

A: We can find the correct answer in the following steps.

Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: The objective of the question is determine the amount after the given year end .

Q: #4 The function E (t) = 4.66459 t4.4054 describes the available capacity (in kilowatt hours = kWh)…

A:

Q: 4. Evaluate: lim(x² - 10x) x→6

A: This question can be solved by replacing x by 6 in the expression x2-10x.

Q: Find a vector parametric equation (t) for the line through the points P = (1, −4) and Q = (−2, −9).

A:

Q: 1. Find the derivatives of the following function (a) y=4²+2

A: Given Equation: y=4x2x-3xx+2xx          .....................(1)y=2x+3x2+x+1…

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Q: A sphere has the equation  x^2 +4x + y^2 -6y +z^2=3 what is the center of the sphere please give…

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Q: Find a vector parametric equation r(t) for the line through the points P = (4, -3, 4) and Q = (3,…

A: Given:- Find a vector parametric equation r⇀t for the line through the points P=4,-3,4 and Q=3,-6,2…

Q: Determine whether the given points are on the graph of the equation. x² + y² = 9; (0, 3), ( · (√₂·…

A: To determine the points are in the graph of the equation we just put the points on the left hand…

Q: What is the general solution to the the differential equation3y" - y'- 2y = 10e *?

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Q: 1) Find the difference quotient of f(x)=x². That is, find f(x+h)-f(x) for h#0. Simplify so h that h…

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Q: Find the limit. Enter the exact answer. If the limit does not exist, enter NA. t³ + 125 lim 1-5 t +…

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Q: At what points is the function y = X 2 x + 5 - 13x + 40 continuous?

A: A rational function is continuous at all the points wherever it is defined.

Q: Find ||u₁y|| if u = (2,5), v = (8,2). # 5 -X (Express numbers in exact form. Use symbolic notation…

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Q: 10. Use the squeeze theorem to find lim f(x) if 2x+2 ≤ f(x) ≤ x² +3. x-1

A: Given: Use the squeeze theorem to find limx→1f(x) if 2x+2≤f(x)≤x2+3

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Q: In Exercises 1-8, find the domain D of the function. Give your answer in interval no X 1. f(x) = 3x³…

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Q: (5) A unit disk centered at the origin is sliced so that the right portion has width h. De- rive a…

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Q: Find the limit. lim √x+15 cos (x+4) X→-4t lim √x+15 cos (x + 4) = X--4t (Type an exact answer, using…

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Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

A:

Q: a) Find the area of the region enclosed by the curve y=x²-2 and by the line y = 2. y=x²-2 y=2 Co

A: Area of a closed region is given by  A=∬dydx, when the strip of area is parallel to y-axis.

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Q: Find the perimeter of the following closed figures

A: Finding the perimeter

Q: Graph the solution of the system of inequalities. x20 y2-1 y≤3 2x + y ≤ 7

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Q: 1. The population of a city is growing by the same percent every year. The population at the 2000…

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Q: 200N 30° 60° 300N 60° 300N 400N Find the resultant and Ø of the concurrent force system shown

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Q: ƒ(x)—ƒ(6) f(10) c) f(x) = =

A: To find f(x)

Q: 3) f(x) = 2x² + 4x Find a) f(3) b) f(x - 1) c) f(a+h)-f(a)

A:

Q: Given the function f(x) = 4x² - 7x + 5, which of the following is f(x+h)? OA. 4x²2²-7x+5+h OB. 4x²…

A: The function is given by fx = 4x2-7x+5 To evaluate: The expression of fx+h

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Q: Find the equation of the plane in xyz-space through the point P = (4, 2, 4) and perpendicular to the…

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Q: 10- x - x² if 3x + 13 if In(x-1)-2 if Calculate the following limits. Enter "DNE" if the limit does…

A: Topic - limits and functions