Evaluate 2x(x2 + 2)*dx

Q: a · Va? +1 dæ: 3 Consider the indefinite integral This can be transformed into a basic integral by…

A: We have to find the given integral.

Q: 4. Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: We have to calculate indefinite integral ∫{(3x2+6) /(x3+6x) }dx Let us say  I = ∫ {(3x2+6) /(x3+6x)}…

Q: f(x)=x-4/x^2+2x+17 What monomial expression best estimates the behavior of x-4 as x→± ∞ ?…

A: Given problem:- f(x)=(x-4) /(x2 +2x+17)    What monomial expression best estimates the behavior of…

Q: 4 sin (In t) cos`(1nt) dt 5.

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Q: f(x) ニ 9-3х A. x =-1 B. x = 0 C. x = 3 S2x x < 6

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Q: Find the arc length L of the graph of r(t). r(t) = 4 cos(t)i + 4 sin(t)j+ tk, 0<t< 2m L

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Q: Find T(t) and N(t) at the given point. r(t) = (t – 2)i + tj; t= 2 T(2) = N(2) =

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Q: A rotating light is located 15 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: Find S(sin20cose + cos30)d0

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Find the domain of r(t) and the value of r(to).

Q: Find the surface area revolve about x-axis at y = x³ from 0 < x< 2 98TT Answer: -sq. units 81

A: The curve y=19x3 from 0≤x≤2 revolved about x-axis.

Q: Find an equation of the tangent line to the graph of y = x^3 − 1 at the point where x = 2.

A: To find the equation of the tangent line at x=2.

Q: Graph the feasible region. x + y 2 3 -x + y 2 1

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Q: 2t2 + 3, y = 6t – 1 at the point whose 3. Find the equation of the normal to the curve defined by x…

A: Explanation of the answer is as follows

Q: Dx) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and…

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Q: Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A: Given that,  r1(t)=6t i+9t2 j+5t3 k,  r2(t)=t4k

Q: Evaluate the definite integral. e141 i + e-j +t k )dt O e 4 – 1 i + (e-1 – 1) j +, k - 14 (e4 – 1) i…

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Q: marginal cost of a product is modeled by dc 16 dx 16x + 7 vhere x is the number of units. When x =…

A: Given query is to find the cost function.

Q: Fill in the Venn Diagram below by dragging the appropriate entry to the orrect location given that:…

A: Explanation of the answer is as follows

Q: Find the position function s(t) given acceleration a(t) = 2t if v(2) = 0 and s(2)=1.

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Q: (6) At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Starting at age35 ​, you deposit​ $2000 a year into an IRA account for retirement.  Treat the yearly…

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Q: Q4 Find the eigenvalues and eigenvectors of the matrix: 21 1 -1 2 -2 1-1

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Q: In the video game Animal Crossing: New Horizons, there are 21 squirrel characters who can live on…

A: Given  There are 21 squirrel characters who can live on your island. We are allowed to have 10…

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Q: Given the following matrices. -6 -2 -4 1 0 10 [C] = and [D] = 6 -7 1 -6 -5 -7 7 -9 -1 Find [C] [D]"…

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Q: The function f(x) = – 4x* + 6.24x² + 53.784x + 1.62 is increasing on the open interval ( It is…

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Q: 240 2 s7 17(s-1)8

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Q: a1, a2, a3, . be a geometric seq is also a geometric sequence by that af, a3, až, (a) Σ (1- ). (Φ)…

A: topic - sequence and series

Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

Q: Find the curvature of the curve 7(t) = (3 cos(4t), 3 sin(4t), 4t) at the point t %3D Give your…

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Q: dy Suppose ax 3x + 1 ) /(3 x² + 2x) 1) V(3x2 + 2x ) and y(0) = 1. What is y(5)? O 364.327 264.227 O…

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Q: For what values of the constant k does the Second Derivative Test guarantee that f(x.y)=x+kxy+y will…

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Q: Find the value of (5a² – 6)da

A: This is a problem of integration. Based on the formula and concept we will answer the question.

Q: Find the area of the blue region. It is the area under the curve. 8 y = 3 x + 1 4 y =7– x 2 4 6 8.

A: This question can be solved using the concept of area under curve.

Q: d d Calculate ri(t) · r2(t)] and r(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Formulate a linear programming problem that can be used to solve the following question. An airline…

A: We need to give constraint equation.

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

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Q: 5 3 + s2-8 s2+ 3.

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Q: An object with an initial velocity of v(1) = 2 has an acceleration of a(t ) = %3D ( 2t – 1) What is…

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Q: The population in a small fishing village on the east coast is decreasing by 7.5% per year. In 2003,…

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Q: cos e d0 Jo 1+sin? A 2

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Q: Where does the line through (1, 0, 1) and (3, –3, 4) intersect the plane x + y + z = 6? (x, y, z) =…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. + dy

A: Line integral

Q: (c) 5 In(3 – x) = 4

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for tN 0. Then the integral L{f{t)}…

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Q: 11. If f"(x)=-4sin 2.x, f(0)=0and f'(0) =2, find the value of f 4 %3D

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Q: dæ4 evaluated at x = -1 dx evaluated at x = –1 dx? evaluated at x = -1 dx3 dªx4 evaluated at x = -1…

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Q: A cup of hot coffee is placed in a cold room. The temperature (in degrees Fahrenheit) of the coffee…

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