f(x) = 1 1 x²¹/₂ 2

Q: Find the length of the curve x = 5-t, for 1 < t < 2. y = 3-t, z = 3t - 5,

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Q: (B) Find the particular solution to the differential equation: -X² when (-)-°

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Q: The height of an object tossed upward with an initial velocity of 80 feet per second is given by the…

A: Given, The height of an object tossed upward with an initial velocity of 80 feet per second is given…

Q: For the function f(x) = 4x² + x f(x + h) = f(x+h)-f(x) h = - 4, evaluate and fully simplify each of…

A: ** As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: A rectangular box with no top is to have a square base and a volume of 30 ft. The material for the…

A: This question can be solved using the concept of functions and its domain.

Q: Find the x-values (if any) at which is not continuous. If there are any discontinuities, determine…

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Q: Compute the length of the curve r(t) = (−4t, 4t + 3, −8t + 8) over the interval 0≤t≤7 L =

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Q: 2. f(t)=√t+ √VE

A: Domain of a function is defined as the set of values of input variable for which the function is…

Q: How would this process look should we try to do it via limit definition (IE, (f(x+h)-(fx))/h)?

A: Derivative of g(x) at x=a=limh→0g(a+h)-g(a)h

Q: 4) 10 x-31=-40 31 + 2x=46 깃

A: As per guidelines we can answer only one questions at a time, so if you need more answer kindly…

Q: Find the DE of the following by eliminating arbitrary constants. Reduce your final answer in…

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Q: 3. The position in meters of an object along a straight track after t seconds is modeled by the 16…

A: Need to use the limits to find  out the instantaneous velocity at t=2 seconds.

Q: Deposits of $850 per month are made into an investment account. The interest rate is 6.5% per annum…

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Q: Find the inverse of f(x) = 2/(x2+1) where x is greater than or equal to 1. State the domain and…

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Q: Verify the identity. 1 sin² y M 1 1-sin² y tan² y + 1 Use a Pythagorean Identity in the denominator,…

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Q: А A = e sin xda

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Q: Problem 2. Determine if b 665 is a linear combination of a₁ = دا بن a2 11 a3 =

A: To find- Determine if b = 665 is a linear combination of a1 = 12-3, a2 = -3-41, a3 = 216.

Q: 3 2. f(t) = (2t-1)-²; ƒ(1), ƒ(5), ƒ(13)

A: Given function is f(t)=(2t-1)-32 We need to find its value at, f(1), f(5), f(13)

Q: Find the domain and range of: 1) y = 區 2) y =√1-x², 3) y = x² - 2

A: See this solution in below.

Q: f(x) = @tann + In (sec x) - ex at x = T

A: We know that general formula of derivatives is -  d(lnx)/dx = 1/x ; d(tanx)/dx= sec2x d(secx)/dx =…

Q: Prove that: B(x+1; y ) + B (x,y+1)= B(x,y) let (x + 1) = X(X)

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Q: a) For x>, the derivative f'(x) equals the number b) For <, the derivative f' (x) equals the number…

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Q: Find the composite function f(g(x)). 4. f(u) = 3u²+2u-6, g(x) = x + 2

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Q: 4. f(x,y) = x² + 3xy x-24

A: We know that degree of each terms are equal then given function is called homogeneous function.…

Q: 8. If a square has a side length of 5, what is the area of the square? (A) 10 (B) 25 (C) 50 (D) 100…

A: As we know that; The expression for the area of the square; A=a2 Where a is the side length of the…

Q: The graph below is the function f(x) -5 -4 -3 -2 -2 As * → a 4 3 2 1 -2 -3 -4 -5+ I 2 3 Determine…

A: Topic of given question - Continuity and limit

Q: Find the volume of the solid obtained by revolving about the x-axis the region between y = 2x and…

A: Given curves:- y=2x and y=x2

Q: 5 4 3 1 -1 -2 -3 -4 -5 п/2 П 3п/2 +X 27 Q

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Q: 2. Eliminate the arbitrary constants of the equation below, where ß is a parameter. 4 x = C₁eßt + C₂…

A: To find- Eliminate the arbitrary constants of the equation below, where β is a parameter. x = c1eβt…

Q: Here is a right triangle with hypotenuse on the axis. 45 L 45° For the shaded horizontal strip,…

A: Given

Q: 5-6 FUTURE VALUE: ANNUITY VERSUS ANNUITY DUE. What's the future value of a 5%, 5-year ordinary…

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Q: Use a graphing utility to graph the function and estimate the limit. Use a table to reinforce your…

A: The given limit is limx→04sinxx3

Q: Write the equation of the parabola. Directrix x+2=0 Vertex at the origin Oy² = 8x 0x² -8y y² = -8x…

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Q: ****** 0 Find the value. (Enter your answer in radians.) As x→ -1, the value of arcsin x → EN 2

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Q: du (Cin- In 1+x² 2

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Q: The importance of learning the basic concept of integral and its formulas are undeniable. In this…

A: I need to required to state the arguments or synthesis relevant to the basic concept of integral.…

Q: Show that the graph of f(x)= x6+4 is symmetric with respect to the y-axis without actually drawing…

A: Given: f(x) = x6+4 Graph of a function f(x) is symmetric with respect to y-axis is f-x = fx

Q: (1) y = x³ lnx (4) y=²+1 (2) y = √sinh √tan.x -,u= u= 3x²-2

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Q: 2. Solve the Differential Equations. (y² - xy )dx + x² dy HO

A: To solve the given differential equation.

Q: Express the repeating decimal as a fraction. 0.191919... =

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Q: Prove the following mathematical ?x аф -у, ӘӨ дz relationships: f sin 0 r

A: According to the Bartleby guidelines, I'm solving the first one, please repost the other question…

Q: Show that (u - v) × (u + v) = 2(u × v)

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Q: Q10.IN R², let A(0,2), B(2,2),C(4,0),D(0,0). Then the quadrilateral ABCD is a: A) convex set B)…

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Q: D r = sin 0 r= cos e

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Q: 2) Find the area of the surface generated by revolving the curve y=√√4x² about y-axis. 3) Find the…

A: According to bartleby guidelines for multiple question I can answer only one question.

Q: Ső 1 x²+7x+10 dx

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Q: Exercise (b) How many bacteria are there after t hours? Step 1 If there are two doubling periods per…

A: Therefore, after t hours (or 2t doubling periods), the initial 600 bacteria increase to a population…

Q: X- 1.Find the area bounded by y=sin(sin x), the and x = π 2. axis and the lines Find the area…

A: I am attaching image so that you understand each and every step.

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

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Q: Show that the integral is independent of path C, and find its potential function: 2xzdx+2yz²dy + (x²…

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