What is the limit as x → ∞ of t(x) = = √81x2 -3x+5

Q: Calculate a (bxc) where a = i, b = j, and c = k.

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Q: C = (2√3)/3 or (-2√3)/3 within the interval (-2,2)

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Q: Solve this differential equation: dy 0.05y(900 - y) dt y(0) = 2 y(t) =

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Q: Use Simpson's Rule with n= 4 subintervals to estimate the integral of the square root of x  dx  with…

A: First, we need to define the function and the interval. The function is x and the interval is from 1…

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Q: 5 2 3. f(x) = 3x3 - 15x3 Find the intervals of increasing, decreasing 4. If xy+cos y, Find

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Q: #26, #45

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Q: Don't use ai to answer I will report you answer

A: Key Concepts:Tangent and F'(X):The f'(X) curve represents the slope of the curve f(x) at any point…

Q: #17

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Q: x²-19x+90 Let f(x) = . Complete parts (a) through (c) below. x-a a. For what values of a, if any,…

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Q: 4 44 3+ 2+ -4-3 -2 -1 2 3 4 -2 -3. Find the values at X which the graph is discontinuous and…

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Q: Estimate the instantaneous rate of change of the function f(x) = 2x² - 3x − 4 at x = -2 using the…

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Q: π 25. If lies in the interval <0</ and Sinh x = tan 0. Show that: 2 Cosh x= Sec 0, tanh x =Sin 0,…

A: Using the definition of hyperbolic functions, we can show that coshx=secθ, tanhx=sinθ, cothx=cscθ,…

Q: Use the Error Bound Formula  for the trapezoid Rule to determine N so that if the integreal of e-2x…

A: The Error Bound Formula for the Trapezoid Rule is given by: |K2|(b2-a2)n212 where: K2 is the maximum…

Q: (1) Write the following quadratic equation in terms of the vertex coordinates.

A: The vertex form of a quadratic equation is y = a(x − h)2 + k, where:(h, k) is the vertex of the…

Q: can you explain why the answer is 1/3

A: Step 1: Given Region E The region E is given by: E={(x,y)∈R2:∣x∣≤1,∣x∣≤y≤2−∣x∣} This describes a…

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Q: The integral of x2 dx with upper bounds of 2 and lower bounds of 0. Compute the integral exactly

A: The integral we are trying to solve is:∫02x2dx

Q: 1) Show that the force response of a MDOF system with general damping can be written as: X liax) -Σ…

A: Step 1: Step 2: Step 3: Step 4:

Q: #70

A: We evaluate the integral:  ∫x3x4−6x2−7​dx  Step 1: Simplify the integrand Divide each term in the…

Q: 7. Consider the following parametric curve: x = sint, y = 2 cost, for 0 ≤t≤ a) Eliminate the…

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Q: Question 3 (5pt): A chemical reaction. In an elementary chemical reaction, single molecules of two…

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Q: I. Perform the following integrations. 1. L' (2x + 1)e³r da cot³ (ln x) csc³ (ln x) 2. dx х 3. 4. x²…

A: Question 1:Steps:Use integration by parts:Let:u=(2x+1), so du=2 dxdv=(e^3x) dx, so…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

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Q: Solve this

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Q: 1 1. Suppose we have the function f(x) = = and then we transform it by moving it four units to the…

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Q: Numerically estimate the value of limx→2+x3−83x−9, rounded correctly to one decimal place. In the…

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Q: The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = 3.…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Given that the outward flux of a vector field through the sphere of radius r centered at the origin…

A: Given:The outward flux of a vector field through a sphere of radius r centered at the origin…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

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Q: Use spherical coordinates to evaluate the triple integral ∫∫∫B square root^2x+y^2+z^2 dV , where B…

A: In spherical coordinates, the function x2+y2+z2 becomes ρ, and the volume element dV becomes…

Q: Show all steps. Correct answer is 37.6991118

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Q: please i need help with the question

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Q: 3) Find the volume of the solid that lies inside both the sphere x² + y² + z² cylinder x²+y² = 1. =…

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Q: 3 y 7 Find the length of the curve x= + on 3 ≤ y ≤5. 21 4y

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Q: dx Y+2 h dy x + Z " dz X+Z find three Soultion indepared

A: Approach to solving the question: To solve the system of equations: y+zdx​=x+zdy​=x+ydz​ we equate…

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Q: The Fourier sine series of the function is given by 3x f(x) = = if 0x5/3 5 if 5/3 x < 5 where bn b₁…

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Q: Find a vector (u) with magnitude 7 in the direction of v = (2,4) Give EXACT answer. You do NOT have…

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Q: Calculate the first five terms of the following sequence cn = n+(n+1)+(n+2)+···+(2n)

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Q: #25

A: 25. Graphically, a function is not differentiable at:Sharp Corners/Cusps (abrupt changes in…

Q: Pls show me the step by step solution

A: Thank you  Reference:

Q: 5 Use the method of disks to find the volume of the solid that is obtained when the region under the…

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Q: An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south…

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Q: Q1/Details of square footing are as follows: DL = 800 KN, LL = 500 kN, Fy=414 MPa, Fc = 20 MPa…

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Q: 21/solve the following differential equation Using laplace transform y₁ =-y, Y₁(0)=1 y' = Y Y₂(0)=0…

A: Step 1:Step 2:Step 3:Step 4:

Q: Explain to me why the answer is: 4a⁷b⁶ if not then defend yours

A: The problem is asking us to simplify the expression (4a3b2)(-2a2b2)2 using the laws of exponents.

Q: Find all second partial derivatives for f(x, y) = 3xy2 - 2y + 5x2y2 and evaluate fxy(-1, 2).

A: We need to compute all the second partial derivatives of the function f(x,y)=3xy²−2y+5x²y² 1.…