In the United States, 40% of the population has brown eyes. If 15 people are randomly chosen, what are the chances at least have 6 brown eyes?

Q: Find the limit by relating it to the definition of the Riemann integral for an appropriate function…

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Q: DETAILS TDOORS. (a) If f(x) MY NOTES find the Taylor polynomial centered at a=0. Write at least 4…

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Q: 7. Find the total differential of z = f(x, y) = x²/3y-1/2, use it to approximate f(7.99, -9.03).

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Q: [(x²y + Dinx) dy C is the arc of the parabola Y=x² from (0, 0) to (71, 71²)

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Q: If L : R² → R is a linear transformation with L L ([i]) 5 6 14 8 = 2, then what is L 2 ([³])) 4 ?…

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Q: Hi this is only the circulation. Can you also provide the flux for the problem? Please also keep the…

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Q: S H R To find the volume of the cone in the picture where S = 5 cm and R = 3 cm:

A: A cone is a three-dimensional structure having height, radius, and slant height where h denotes the…

Q: 5. Given f(x, y) = sin(xy) and that x = 3t², y = ts², and that s = ln(u + v), t = u¹². Draw the…

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Q: Let f: R\{3} → R\{5} be defined by f(x) = 5x/(x-3). Show that f is bijective and find f-¹.

A: Given f:ℝ\{3}→ ℝ\{5} defined by f(x)=5xx-3. We have to show that function is bijective, and we have…

Q: Σo (+) = 1 + x + ² + +... a) Use that fact to find the Maclaurin series of g(x) = e-7. b) Then use…

A: According to Bartleby guidelines I did the first three subparts

Q: 10. Let f(x, y, z) be the density function of the V where V is the solid enclosed by z = 4-x² - 4y²…

A: Given That : fx, y,z is a density function and V is the solid encloses by z=4-x2-4y2 in the first…

Q: 13. Which is an example of a veto power voting system? A) |{46 : 47, 4, 4, 6, 6, 7, 7} B) {32:11, 7,…

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Q: Consider the differential equation defined by the auxiliary equation (D3 - 4D)y = 0. Find the…

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Q: True or False? The vector (1, 1) is a linear combination of the vectors (a₁, a2) and (b₁, b2) if the…

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Q: Question 3. If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t) = 2e5jt…

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Q: Let A be a nonempty set and B be a fixed subset of A. Define R to be the relation on P(A) such that…

A: Given information A non empty set A and B is a fixed subset of  A. Power set of  A :- PA Relation R…

Q: (d) Explain why, if an is an decreasing sequence of real numbers between 0 and 1, then is also a…

A: Sequence: A function f from the set of natural numbers ℕ to the set of real numbers ℝ is called a…

Q: How do you graph the ellipse? (x-2)² 81 (y+8)² 100 Drag choices into the boxes to correctly complete…

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Q: 12. Use Green's Theorem to convert the line integral ſy³dx+ :+3xydy in to area-integral where C is…

A: we have to find the value of line integral by changing it into area integral ∫Cy2dx+3xydy where C is…

Q: A) Find x{(e-51-7)²} L B)[ Use the definition to evaluate the Laplace Transform of the function 2,…

A: FIRSTLY WE USE AN IDENTITY, a-b2=a2+b2-2ab ⇒e-5t-72=e-5t2+72-14e-5t⇒e-5t-72=e-10t+49-14e-5t AND THE…

Q: Use the given information to complete the following table. n(A)=50, n(B) = 60 n(AUB) = 95, n(U) =…

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Q: 8. Evaluate the line integral [x²dx + xe¯dy where C is the closed path along the triangle in the…

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Q: All of the functions below are even functions, except for one of them. Find the function below that…

A: EVEN FUNCTION-: A FUNCTION IS SAID TO BE EVEN IF WE REPLACE x BY -x AND THE FUNCTION DOES NOT CHANGE…

Q: If L : R6 → R³ is a linear transformation and dim(range L) = 2, then how many vectors are in the the…

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Q: Find the slope of the line tangent to the graph of the function at the given value of x.

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Q: PROBLEM #2: Kelso conservation area is currently designing a new hiking trail to complement the…

A: Given : Polynomial function : hx=ax4 + 52x3 - 3x2 - 16x + b   To find : The values of a and b

Q: Question The inverse Laplace transform L is equal to elf. -3s +36 s²+36 Select one: O True O False…

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Q: Shonte graphs the parabola (y + 2)² (y + 2)² = −12 (x - 5). How does she proceed? Drag a value,…

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Q: What payment, made at the end of each three months for 15 years, will accumulate to $10,900 at 3%…

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Q: The particular solution of the nonhomogeneous DE: y" - 4y - 5y = e* can be expressed as p = ₁ + ₂5x…

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Q: Simulate a ball dropped from 100 m over 10 s a. Plot the position vs. time b. Plot the velocity vs.…

A: Given: Acceleration of the ball is given asx''t=-9.81 with initial condition x(0) = 100. Our aim is…

Q: Inverse Laplace transform, 1 (s²+1)(s-3) el Select one: O True cos(t) _ 3sin(t) e3t + 10 10 5

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Q: 1) Given the nonhomogeneous DE: x²y" - 2xy' - 18y = 4x 1 5 X 2 A) Verify that y₁ = x6 and y2 = x³…

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Q: and P² = B C 0.20 0.52 0.28 0.21 0.31 0.48 A to state B in two trials is

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Q: Which of the following sequences represents an arithmetic sequence with a common difference d = −5?…

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Q: 15. The population of a large city is 425,000 in 2020. If the rate of growth each year for the next…

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Q: 18. An ecologist has received permission to fence in a small rectangular plot of land at a state…

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Q: Let L: R³ R³ be a linear transformation defined by What is the range of L? °{•[]+[]*R} t, s ER…

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Q: Let p(x) = a + a₁x + a₂x² and g(x) = bo + b₁x + b₂x² be vectors in P₂ with (p, q) = aobo + a1b₁ +…

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Q: 3- Using echelon form solve the following linear system o equations (c) 3x₁ + 6x₂ x₁ + 3x₂x₂ - 4x4 =…

A: Note :As per our Guidelines we can solve first parts as your all parts are not small. Please repost…

Q: Question 2. Given 2 0<t<4 0 elsewhere find F(w), the Fourier transform of f(t). Compute the values…

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Q: 1. Determine whether the given set of functions is linearly independent on the interval (-∞,00).…

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Q: If each of a, b and c is positive and a + b + c = 6, then show that 75 (a + b )² + (6 + ¹)² + ( +…

A: We have to solve given Questions.

Q: An experiment consists of rolling two fair dice and adding the dots on the two sides facing up.…

A: Given: The two fair dice are rolled and the event is equally likely.To find: The probability, PE…

Q: [ F.ds, where F(x, y, z) = xi+yj+zk and S is the part of the cylinder x² + y² = a² (a > 0) lying…

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Q: [1/2e 10 Determine the limit of this transform as e 0+ and discuss the result xe |xc|> €* Find the…

A: to find the Fourier transform of the function.

Q: Problem III Let A denote the matrix given below. (i) Find all eigenvalues of the matrix A. (ii) For…

A: Let  A=020101020           The characteristic equation of A is  A-λI=0                      ⇒…

Q: Find a power series representation for the function. f(x) = x6 tan−¹(x³) f(x) = n = 0 Determine the…

A: We find the power series and Radius of convergence.

Q: Bemi transvese axis of hypebola is 5. Tangent at point p and normal to this angrent meet conjugate…

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Q: If the set W is a vector space, find a set S of vectors that spans it. Otherwise, state that W is…

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