Compute the indicated quantity. P(A) = 0.7, P(B) = 0.3.  A and B are independent. Find  P(A ∩ B).

Q: () B A 17- 26. F4 28 E 19 -25 29 I 27 H 14 G 24- 12- 15- L 23 K Find the shortest path from vertex A…

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Q: Consider the integral b Tot r92(y) 9₁(y) 4 ** f(x, y)dydar. Sketch the region of integration and…

A: The solution is given below

Q: 7 Find T, N, and k for the space curve r(t)=7i+j₁t> 0. T(t)= N(t) = i+ 1-1² 4 √√₁+1²-1² +t j 4…

A: Solve the following

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A: We have to estimate the distance traveled (in feet) by the car while the brakes are applied.

Q: A partial sum of an arithmetic sequence is given. Find the sum. 5 + 11 + 17 + . . . + 575 X S = 96

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Q: Suppose you deposit $1000 at 5% interest compounded continuously. Find the average value of your…

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Q: [²r(x) dx where 0-{²_, f(x) if -2 ≤ x= 4-x² if 0<x=

A: Topic:- application of integration

Q: sin [Arccos (-1)] 2

A: Given  sinarccos-12 We can write it as sincos-1-12

Q: Use u-substitution to find the integral of (2x+5) (x3+5x+3)4

A: ∫2x+5x3+5x+34dx=∫…

Q: Replace ? with an expression that will make the equation valid. d −(6x + 5)² = 7(6x + 5)6 ? dx The…

A: Given is to find the missing value.

Q: Find the a) 160° f) 4 reference angle for each of the following angles: b) -15° c) 500° d) 93 5T 6…

A: NOTE: Refresh your page if you can't see any equations. . the given angle is  (in degrees) . the…

Q: Suppose that a company needs new equipment, and that the machinery in question earns the company…

A: Given, Machinery earns the company revenue at a continuous rate of  Rt=58000t+39000,   0≤t≤0.568000,…

Q: 1. J1/2 cos(x-2) x3 - dx

A: To evaluate the given integral.

Q: Find d²y dx2 if y= = x sec(x)

A:

Q: 2 1.6 F(x, y) = (x² + ( ² ) ²) ** 3 af дх of ду 000 000 ---

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Q: Find the equation for the parabola that has its focus at the (-5/4,6) and has directrix at x=29/4

A: We have to find equation of parabola that has 1.focus at (-5/4,6) 2.directrix at x=29/4   Let's find…

Q: 14px 1.5pt : B US A A Dº X₂ 9. The cost of hosting a dinner in a particular restaurant is given by y…

A: Given query is to find the slope of the line and it's meaning.

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: NOTE: Refresh your page if you can't see any equations. . the given revenue function is  take…

Q: 6. The general term of a geometric sequence is t = 2(3), where is a positive integer. Show all steps…

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Q: Rewrite as single fraction  1/3 - 2/5 + 4/15

A: Given  1/3-2/5+4/15 =(5-6+4)/15 =3/15 =1/5

Q: Find the solution to the differential equation dy dx - In x csc y = 0.

A:

Q: -4x² + 10x - 5 x(x - 5)(2x + 1) Determine the correct partial fraction decomposition for the…

A:

Q: I Which of the following shows the simplified function of csc x sin 2 01 O-1 O tan x O cot x

A: Given query is to find the value of the expression

Q: For the following expression, find the correct partial fraction decomposition. -3x² 10x 38 (3x − 1)…

A:

Q: 3. Find the inverse function f-¹(x) of f(x)=3 sin 2x

A: The given function is: fx=3sin2x   To calculate the inverse function of the given function…

Q: What is one solution to the trigonometric equation sinx – cos2x – 1 = 0 in the interval [0, 2ㅠ]? ㅇㅠ…

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Q: In the related rates problems, what variable are we differentiating each function with respect to? O…

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Q: 6x Determine the area of the region bounded by y = (x - 1)e³x² - Area = and y = 0 on the interval…

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Q: 2/5 Find the cost function if the marginal cost function is given by C'(x)= x + 9 and 32 units cost…

A: To determine the cost function

Q: The general term of a geometric sequence is t = 2(3), where is positive integer. Show all steps to…

A: Given the geometric sequence is tn=23n-2

Q: We need to use implicit differentiation in these rates of change problems because we generally have…

A: To determine whether the following statement is true or false.We need to use implicit…

Q: 3) sin [Arccos (-1)] 2,

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Q: Find the value of at the point (1,9, 1) if the equation дz 12xz + y ln x - 9x² - 3 = 0 defines x as…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  and the given…

Q: x = y² and x = 9 YA 4 2. 0 -2- 4 x = y² 2 4 6 + 8 x = 9 10X

A:

Q: 25. Aviation When kerosene is purified to make jet fuel, pollutants are removed by passing the…

A: We have to find the exponential function that model the percent of impurity

Q: Find the interval of convergence of the series

A: Given : Ratio test

Q: Evaluate the definite integrals using properties of the definite integral and the fact that 3 3 f³s(…

A: A detailed solution is given below.

Q: If the function f(x) = ? (3ax² +2bx+1 if x ≤1 is differentiable for all real values of x, then b =…

A: To find the value of b

Q: A. Consider the function f(x) = x4 - 3x² - 6x² (a)Determine the domain of f(x) (b) Find the…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: What is an example of Leibnitz notation that's used to indicate rates of change? (See Strategy for…

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Q: 7x² +28x - 2 x(x + 2) (3x + 1) Determine the correct partial fraction decomposition for the…

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Q: K Find the derivative. f(x) = 8√√9x² +3 f'(x) =

A:

Q: To see where f is increasing/decreasing, we find critical numbers and then do what? O Evaluate f at…

A: To see where f is increasing/decreasing, we find the critical numbers and then to determine what…

Q: For the function f(x,y,z) = 4 + 5xy¹ − 32³, find fx, fy, and f₂. fx=0

A: Given function, f(x,y,z) = 4+5xy4-3z5   To be found - fx, fy, fz

Q: Find Vf at the given point. 3 2 f(x,y,z) = x³ +y³ - 3z² + z lnx, (1,2,4) Vf|(1,2,4)=i++)k (Simplify…

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Q: Solve for the general solution: y" + 3y = x + 1. Oy(x) = C₁ + c₂e-3x + 2x/9 + x^2/6 y(x) = C₁ +…

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Q: cos [Arc sin (-1)]

A: We can evaluate the answer in the below steps.

Q: In a town whose population is 3400, a disease creates an epidemic. The number of people N infected t…

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Q: ubes it mean in the context of the problem? 10. The cost of hosting a dinner in a particular…

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Q: An investment of $80,000 was made by a business club. The investment was split into three parts and…

A: Given. Total amount =$80000 Interest for 1st,2nd,3rd part is respectively 8%, 6%, 9% We have to find…