A, B, and C are mutually exclusive events and P(A) = P(B) = and P(C) ½, "(B'n c'). = find

Q: 5000 liters of the toxic substance Trioxin was dumped into the local swamp at the beginning of the…

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Q: Needed to be solved correctly in 10 minutes and get the thumbs up please show neat

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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: For the function f graphed in the accompanying figure, find the following limits. If a limit does…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1 Find the Domain and Range for y = 1-√5-x Graph and find the domain and range for y = sin²x + 1

A: 1) The given function is: y=11-5-x

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: On a dogleg golf hole, one golfer hits the ball 270 yards and then another 170 yards to reach the…

A: From the given details:

Q: 3π Convert the angle from radians to degrees. 4 degrees

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Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 5…

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Q: Use the quadratic formula and a calculator to find all real solutions, correct to three decimals.…

A: Given :

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…

Q: Let f(x)=10-3x². Find the average rate of change of f(x) on each of the following intervals. (S…

A: Function

Q: Function 1 t h(t) = sin t+=e 5 Point πT 1 I, -e 5 (a) Find an equation of the tangent line to the…

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Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

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Q: Use an appropriate Pythagorean identity to find the indicated value. Write your answer as a…

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Q: Make a table of values for the equation. 3x - y = 5 X -2 0 2 4 у

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Q: A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. f(x) exists.…

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Q: Use the definition of the derivative to find: f(x)= 1/x^3 g(z)= z^4 - 8z^2

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: a) f(x,y) = x³y² + 6xy b) g(x,y)= 6x-x²-8y-2y²

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Q: Determine f(5) if f is a continuous function that satisfies +sin(a) f+sin(a) f(t)dt = 22² for all x.…

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

Q: D The graph of the function h is shown. 3 2.5 2 1.5 1 0.5 O -0.5 -1 -1.5 -25 -5 -4 The limit is…

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Q: Given point A (6,5,8) and plane p with the equation 3x + 2y + 5z = - 24.

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Q: 3. Find the area of the region enclosed by the curves y = x² + 2, y = -x, x = 0, and x = 1. (a) (c)…

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Q: Function h(t) = sin t + et Point 1 Let (₁1¹) (ㅠ, 6 (a) Find an equation of the tangent line to the…

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Q: Find the taylor series of the given function: 2x Y = e²x @x, = 3

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Q: Let f(x) = √64 - x², 0≤x≤8. (a) Find f-1.

A: Topic = Functions

Q: H.W. Solve 3) (D² + 4)y = 8 sin(2x)

A: As per the company rule we can answer only first question and rest can be reposted.

Q: What is the area of the triangle? (-6,1) (-3,-5) (-1.1) square units

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Q: Determine the set of x-values where y = x - 4 r2 +9r+18 is continuous, using interval notation.

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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

Q: 4₁ An online company lets you download songs for $0.99 each after you have paid a $5 membership fee.…

A: 4. An online company lets you download songs for $0.99 each after you have paid a $5 membership fee.…

Q: Which of the following equations is NOT a variable separable differential equation? A B (x² − yx²)…

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Q: Let f(x) { Calculate the following limits. Enter "DNE" if the limit do f(x) = 10- x - x² if x ≤ 4 if…

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Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: 3. The graph of y = f'(x), the derivative of f(x), is shown below. List the intervals where the…

A: Graph of the function y=f'(x) is given we have to find the intervals at which fx is concave up.

Q: Find the value of c such that the function is continuous on the entire real number line. f(x)=…

A: Topic = Functions

Q: əz əs дz at 11 || z = e cos(8), r = st, 0 = √ s6 + 15

A: We can answer both the answer in the following steps.

Q: 1. Prove that for all x, y ER, max (x, y) x+y+lx-yl 2 x+y-lx-yl 2 and min (x, y)=-

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Q: B. Determine the center and the radius of the circle described by each equation. Then, sketch its…

A: Let's find radius and center of circle.

Q: K For the piecewise function, find the values h(-9), h(1), h(S), and h(7) -5x-9, for x<-3 H() = 5,…

A: Topic - Functions

Q: A water container has an open top and is accelerating at a = 4.4 m/s² along a slope with an…

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Q: Use Green's Theorem to evaluate 90 O O -384 O -48 fayd r²y² dr + (yr³+ y²) dy where C' is shown…

A: As we know from Green's theorem: ∫cMdx+Ndy=∫∫R∂N∂x-∂M∂ydA Where, ∬dA=∬dxdy or ∬dydx And We know the…

Q: 20. An aquarium contains 10 gallons of polluted water. A filter is attached to this aquarium which…

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Q: The functions f and g are determined by f (x) = 2x-4 and g (x) = 1 / 2x + 3. The area of origin…

A: Given: f(x) = 2x-4  g(x) = 1/(2x+3)             the area of origin f is Df:{x| 2&lt;x&gt;6}…

Q: - 24 (a) lim f(x) X-8 (b) lim f(x) X-8 -16 -8 16 BO -8 - 16 -24 00 8 16 24 X

A: Limit gives the approaching value of the function when you start going close to the point.  1. If…

Q: using

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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: ○ 0, 9]

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Q: A. Write ✓ on the line if the given equation is a circle; otherwise write x. If the equation defines…

A: The equation is given by x2+2x-y2+1-4 = 0                  ........1 To determine: Whether the given…

Q: Question 1 What is the exact value of csc 0_213 0 2√3 O 0-√√2 02 (167) ²

A: Let's find value of given trigonometric function.