♡/ Find the Domain and the range of the function F(x)=√x-2

Q: Problem 1. Solve these integrals using substitution (a) x(x-2)³ dx, (b) text² di dt.

A: The given integrals:a∫xx-25dxb∫te3t2dtWe will solve them using substitution.

Q: Find the domain and range of the following function: f (x)  {(2,3),(3,4),(5,7),(10,3)}

A: Given: f (x) = {(2,3),(3,4),(5,7),(10,3)}

Q: 1. Evaluate the definite integral *2³²√³+1 dr. (a) ² (27+2√2) (b) (27-2√2) (c)(2√2-27) (d)/(2√2+27)

A: I have stated the used formula in the solution.

Q: Given f(x) = 3x+8, (a) Find f(x+h) and simplify. (b) Find f(x+h)-f(x) h Part: 0 / 2 Part 1 of 2 (a)…

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Q: Evaluate x/12 0 14√/1- cos 12x dx.

A: Given, ∫0π4141-cos12xdx

Q: Use the matrices below to perform the indicated operation if possible. 6 B-[-3.0-[1] C [89] -4 = If…

A: Performing the indicated matrix operation

Q: * The Simpson's Rule gives the exact result when applied to any polynomial .of degree-➖➖➖➖➖➖➖or less…

A: Simpson's Rule: It is a numerical method for approximating the integral of a function between two…

Q: Question 4. Determine if the series Σ n=1 5n+1 7-2 converges or diverges. If the series converges,…

A: We have to find the given series is convergent or divergent  , if the series is convergent give its…

Q: 6. Find the radius of convergence and the interval of convergence for E-0¹ (x-2)".

A: 6. The given power series     ∑n=0∞12nx-2n

Q: 15. y = (In x) Inz

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Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) y = 5 -4 -3 2 -- 1 4…

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Q: Let f(x, y) = ln(x + y − 1). The domain of f is {(x, y)| x + y > }.

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √7-x, 1 ≤x≤7

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Q: 2x² = x4+1 (a) Let f(x) = Find f'(x) and find the maximum value of f on [0, ∞) and show that it is a…

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Q: (C) For what values of x does the series 11=1 (D) Find Taylor series at x=2 for the function ala…

A: series and taylor

Q: The right-endpoint approximation of the area under the curve of f(x) = x² over the interval [0, 2]…

A: fx=x2 over the interval 0,2 for n=4

Q: Suppose that Mark is flying a kite with the string tied to his glasses (so that it’s easy to measure…

A: To find how far above the ground the kite is flying.

Q: x²y (z,y) (0,0) x4 + y² If it exists, find lim Answer: Write DNE of the limit does not exist.

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Q: A price p (in dollars) and demand x for a product are related by2x2−8xp+50p2=11400. If the price is…

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Q: Find the z - transform of IN k

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Q: 1-p p#1 u(c) = In c Show that limp-11-p C¹-p Given this result, is u continuous at p=1 ? p=1 = In c

A: Given that,uc=c1-ρ1-ρρ≠1ln cρ=1

Q: Evaluate each integral. √x+Yy dz Jx - "X rx + y 0 Jx-y y dz dy Now evaluate J = = y dV, where E =…

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Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

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Q: A region bounded by f(y) = √√√, y = 1, y = 4, and x = 0 is shown below. Find the volume of the solid…

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Q: Evaluate the integral. 2 - 121 y - 121 2 -dy, y> 11 dy=

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Q: a-limx. 1x-4 Tollowing b- limx-o (sin (sin x) c- limx→→z 5x²+x³ 10x +2x5,

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Q: The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. Use…

A: Topic = Derivative

Q: Evaluate the given integral by changing to polar coordinates. sin(x² + y²) da, where R is the region…

A: Given that,

Q: Use any method to evaluate the integral. dx X>11 (x²-121) 3/2

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Q: Let P be the set of points that belong to the shaded region imaginary The set P is (A) open (B)…

A: We can see that the outer boundary is not included in the region. So set is not closed.  We can see…

Q: B: Draw the function y = √√x-8

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Q: Assume that the random variable X is normally distributed, with mean μ = 70 and standard deviation…

A: To find the probablity P(X>a)  then we have to convert the expression into  Z-score value of the…

Q: Use a system of linear equations with two variables and two equations to solve. 204 students…

A: To find the pass students and fail students.

Q: 4. Given cos 2x = cos²x - sin² x. (Optional) (a) Verify sin 2x = 2 sin x cosx. cos 2x, (b) Express…

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Q: A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of 45° with respect…

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Q: Evaluate the integral. 2 Ỉ -1 7t sec ¯¹t dt 2/√√3 2 7t sec¹t dt =

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Q: 1. Equation of the plane passing through the points A, B, and C. 2. Equation of the straight line…

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Q: prove the following properties of the laplace transform, knowing that L{f(t)} = f(s)

A: Prooof of the above properties of laplace is given by

Q: 7. Let R be the region bounded by y = √cos x, generated when R is revolved about the x-axis. (a) V=…

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Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2. 2. Find the length of the r(t)= , 1 ≤ t ≤ 5…

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Q: Let f(x, y, z) = x arctan z. Then solution.] af Əzəy (2,3,1)= a In 2 where a = [Show

A: Find the value of a

Q: 5.2 Consider the curve that passes through the point (0,10) and is such that the slope of the…

A: We have to find the curve that satisfies the given conditions of the problem.

Q: CHECKPOINT 1.24 Integrate the function [²₂x³dx.

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 1x³/2, 0 ≤…

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Q: Complete the table for the equation y=x-2, and graph the equation. X -2 - 1 0 1 2 Use the graphing…

A: line

Q: T The position vector r(t) = 4ti + 2tj+ t´k describes the path of an object moving in space. Find…

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Q: y = 1/2 (e² + e^¹), − 1 ≤ x ≤1

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Q: Determine the longest interval in which the given initial value problem is certain to have a unique…

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Q: The base of a three-dimensional figure is bound by the line y = x + 4 on the interval [-3, 1].…

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Q: Consider the graphic representation of f 1 -3 According to the graph, which option is true? (Existe…

A: limit