For the point P(-20, -3) and Q(-13,0), find the distance d(P.Q) and the coordinates of the midpoint M of the segment PQ What is the distance? (Simplify your answer. Type an exact answer, using radicals as need.)

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A: Given yp1=ddx1(x+1)3(2x-1)3

Q: random variable, y, has a known probability distribution given by Y :2,4,6,8,10 and P 0.17,0.23, 0.2…

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Q: Calculate the means and standard deviations of:1, 2, 3, 4, 5 O a. mean = 3; st. dev. = 1.414 O b.…

A: Let's find means and standard deviations.

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A: We need to create a piecewise function showing the rate of money f(x) that must be paid by a…

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A: To sketch the graph of the equation given.

Q: ¹{.(²-1)} = Q4. C-1 (a) cosht - 1 (b) (c) 1 2 (d) 1 - cosh t [cos 2t - 1] [sin 2t - 1]

A: Here, to find the inverse Laplace transform of the function: 1s(s2-1)=1s(s-1)(s+1) Now, using…

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A: Topic = Function As per guidelines , At a time only one question with three sub-parts can be…

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A: This is a problem related to probability. Please follow the procedure given below.

Q: 5) -4<|2x+2 | ≤6 -a -2-2 -622x34 axs

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Q: B. Write the recursive formula for each Sequence, Then determine the next two terms. 1:5, 9, 13, 17,…

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

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Q: 13. f(x)2(x-4Xx+3y³ a. b. C. lim x-2+ f(x) = f(x) =

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Q: 4. Now, let's assume that A, B, C, and D from above are each the resultant of 2 component vectors (x…

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Q: Q2:/ Sketch the region (R) of integration S x² dydx and evaluate the integration. Then reverse the…

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Q: .24. Use the definition of derivative to show the derivative of f(x)=√x is f'(x) 3/1²* [Use the fact…

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Q: Calculate the angle between the normals to the surfaces x²y + z = 3_ and x log z − y² = −4 at the…

A: Angle between two normal vectors a and b is  θ=cos-1±a·b

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Q: Determine the area, in square units, of the region bounded on the right by the line g(x) = -3x+27,…

A: Given thatgx=-3x+27fx =-x-52+16To find: Area bounded by the region with respect to y.Note: right to…

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A: This is a problem related to probability. Please follow the procedure given below.

Q: Question Calculate the area, in square units, of the region bounded on the right by the line g(x) =…

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Q: (3) Find explicit particular solutions of the initial value problems below. (a) + 1 = 2y, y(1) = 1.…

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Q: K The following graph is the result of applying a sequence of transformations to the graph of one of…

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Q: Find all critical numbers of each function: a) f(x) = [x^1/5]  b) f(x) = 4/1+[x^2]

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Q: Find the domain of the function. (Enter your answer using interval notation.)

A: Topic:- function          Definition:-   the domain of a function is the set of input values for f,…

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Q: Use expansion by cofactors to find the determinant of the matrix.

A: Given: 645  036  00-4

Q: 6 5+ 4+ 3+ 2+ 1 0 1 2 + 3 R 4 5 6 y=x-4 ·x=y²+2

A: Given, Area of R is 103

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Q: Book Problem 19 (a) Find the average value of f(x) = 25 - x² on the interval [0, 5]. Answer: (b)…

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Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: 17. Determine the equation f(x) = cosx as a sin function.

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Q: 393. lim x x → 0+ 1/x

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Q: 10. If h(x)=x-3 and g(x)= x. Find (hg)(x)

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Q: Find an equation of the tangent line to the graph of the function 2 x 4 2x+4 at the point (4, O Oy=…

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = √√/1+x f(x) = 1 + x…

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Q: (b) (c) Find the direction (a unit vector) in which f increases the fastest at (1, m, 0). Find the…

A: (b) We have to find the direction in which f increases the fastest at (1, π, 0), where…

Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. Answer the following questions…

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Q: An integrand involving a radical form √√49-16x² suggests the substitution ○ 4x = 7 sec Ⓒ O x = 4 sin…

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Q: 9X4) 10. If h(x)=x-3 and g(x)= x. Find (hg)(x) N O

A: Use the composition and multiplication property of function.

Q: X Given zx 2cos u; y = 3sin v, find y O-2cos u cos v 3 sin ² v O 2sin v 3 sin u O-2sin u 3 sin v…

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Q: Let g(s, t) = (sin(s)-t, e, s) and f(x, y, 2) = e²+²y+z Compute(fog) at (0,0).

A: See the details solution in belo

Q: Consider the function Evaluate the definite integral f₁ f(x) dx = Evaluate the average value of f on…

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Q: 2. If x² - xy + y² = 3 find y' and y".

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Q: Differentiate the following expressions and saveit under the given variables. 1. ур1 2. yp2 = 3. yp3…

A: Given data:- (1); yp1=x26-xx+2(2); yp2=ddxx24-x4+x(3); yp3=ddxx2-12x2-6x-1

Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

A: y =tanx y'''=2(y2+1)(3y2+1).

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Q: 2. Describe how the graph of y = 2ƒ (²x) — 3can be produced from the graph of y = f(x). List all

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