Evaluate the integral. Jo 4 dt 16+ t²

Q: Suppose lim f(x) = 7, lim g(x) = -4. 818 x48 x³ f(x) - 6x - 5 + 9x - 7 lim xxx³g(x)

A: The given limit is: limx→∞fx=7, limx→∞gx=-4 To find the value of limx→∞x3fx-6x-5x3gx+9x-7

Q: Decide from the graph whether a limit exists. If a limit exists, find its value. lim F(x) X→6 C What…

A: Find limit

Q: The curvature of the helix r(t) = (a cos t) i + (a sin t)j + bt k (a,b20) is k=- 2,2 a+b What is the…

A: Given helix:- rt=acostiasintj+btk

Q: Given a 3*3 matrix with a variable k. Find a k value that allows the matrix to have the eigenvalues…

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Q: A graphing calculator is recommended. If a rock is thrown upward on the planet Mars with a velocity…

A: As given height of the particle is y=14t-1.86t2 after time t of throwing.

Q: F(s) 3s² - 7s +5 (s − 1)(s 1) (s - 2)

A: As we know from the inverse Laplace transform identity. 1). L-11s-a=eat 2). L-11s-an=eattn-1n-1!…

Q: Use the following tables for f(x) and g(x), and just fill in the tables shown below: 0 1 2 3 4 5 x y…

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Q: Find the derivative of the function. g(x) = - J√x 8 √t sin(t) dt

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Q: (a) Approximate the definition of the derivative with small values of h. (b) Use a graphing…

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Q: Find an equation of the plane. The plane through the point  (6, −7, −1)  and parallel to the plane…

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Q: Evaluate the limit (3+7x) lim x48 4+6x² Use oo if the limit is ∞ and -oo if the limit is -∞. =

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Q: a) Graph the function f(x)=x² + 4x. b) Draw the tangent lines to the graph at the points whose…

A: Correct option is D.

Q: te the following: 2x dx x - 4 dx

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: As per guidlines we can solve maximum one question you can repost

Q: . (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does not otherwise √x…

A: Topic:- application of calculus

Q: Evaluate the integral. 216 1 x(x + 6)³ (Use symbolic notation and fractions where needed. Use C for…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) first, we need to find…

Q: Find f(g(x)) and g(f(x)) for the following functions: f(x) = 8x + 5 g(x) = x² + 9x + 4 f(g(x)) =…

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Q: Preview Activity 10.4.1 Let f(x, y) = 6-2-², and let (To, yo) = (1,1). a. Evaluate f(x, y) = 6-2-y²…

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Q: Find an antiderivative of the function f ( x ) = (2x + 1) ¹/².

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Q: Give the first four terms of the following recursive sequence. Clearly show plug-in steps and/or a…

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Q: The graph in the figure is a horizontal and/or a vertical shift of the graph of y=x2y=x2. Find a…

A: To find the equation of the graph.

Q: Find parametric equations for the line. (Use the parameter t.) the line through (-8, 2, 7) and…

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Q: 3x²-3x+10 (x-2)(x²+4)

A: D=3x2-3x+10(x-2)(x2+4)3x2-3x+10(x-2)(x2+4)=A(x-2)+Bx+C(x2+4)

Q: Find all values of x such that f(x) = 0. f(x) = 2x − 3 9 X=

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Q: Let the polyhedron P be defined by x1 + x₂ + x4 ≥ 2 -x1 + 2x2 4 3x2 - x3 ≤ 7 x3 + x4 -1 x2 > 0 X3 20…

A: Given: let the polyhedron P be defined by  x1+x2+x4≥2-x1+2x2≥43x2-x3≤7x3+x4≥-1x2≥0x3≥0

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: Here we have to find the limit.

Q: Convert the point from rectangular coordinates to spherical coordinates. (−5, −5, sqrt(13))

A: Given query is y to find spherical coordinates.

Q: Then find the length of the indicated portion of the curve r(t) = 5costi + 5sint j +9t k, where

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Q: dy Y dt Find the general solution of the differential equation: == t Use lower case c for constant…

A: given dydt=-yt-3dydt+yt=-3

Q: There are three possibilities when a line and a plane intersect in three-space. What are they, and…

A: Since you have posted multiple questions,  we are supposed to do only one question.  If you want…

Q: Find T, N, and K for the plane curve r(t)=(8cost+8t sin t)i + (8sin t-8t cos t)j, t> 0.

A: You have asked multiple question, we will solve the first question for you. The rest can be asked as…

Q: y = [x + (x + sin²x)'] h) y=x+ Final Answer

A: Given query is to find the derivative.

Q: A mass is attached to a spring with spring constant of K=10. The spring is stretched to 30cm passed…

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Q: Find all the second-order partial derivatives of the following function. 74 f(x,y)=x²y²-x+y° 6 8

A: according to bartleby policy we do only first part of multiple questions there for please re post…

Q: A solid is generated by revolving the region bounded byy = √ 196-x² and y=0 about the y- axis. A…

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Q: X . Find and simplify completely the difference quotient, 3x + 1 h0. You must show all your work as…

A: Topic:- application of calculus

Q: For the function, find the partials fx(x, y) and f(x, y) = (9x² + 3xy + 6)4 (a) f(x, y) (b) f(x, y)…

A: Givenf(x,y)=(9x2+3xy+6)4   We are required to finda. fx(x,y)b. fy(x,y) The following formulas has…

Q: Find the relative extreme value of the function. (If an answer does not exist, enter DNE.) y6)/6…

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Q: Find the general solution of the differential equation: What is the integrating factor? μ(t): = Use…

A: The given differential equation is;  dy/dt - 3y/t = t3et.

Q: Given that f(x) = x² (a) (ƒ+g)(x)= (b) (f - g)(x)= (c) (fg)(x)= - 15x and g(x) = x + 1, find

A: Since you have asked multiple  part question, we will solve the first 3 part of the question for you…

Q: of Əf Find and əx dy f(x,y) = √2x² + y²

A: 1) f(x,y)=sqrt(2x2+y2) 2) f(x,y)=x3-6xy+7y2.

Q: The region R in the first quadrant of the xy-plane is bounded by the curves y = -6 sin(x), x = π, x…

A: The given region is: y=-6sin x,       x=π,    x=2π  and  y=0

Q: Find the area of the surface generated by revolving the curve about they-axis. y=81-x²,05x59

A: Given :y=81-x20≤x≤9about y-axis

Q: How do we know that eª and In x are inverses of each other?

A: The given two functions are ex and lnx We have to prove ex and lnx are inverse of each other .

Q: Consider the following points. (X₁Y₁)= (-5, 7) (x₂1 y ₂) =(4,-5) (a) Find the distance between the…

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Q: Select the correct choice below and fill in any answer boxes i your choice. OA lim F(x)= (Type an…

A: Given query is to find the Indicated limit.

Q: K Use the formula for instantaneous rate of change, approximating the limit by using smaller and…

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Q: Consider the following. v=²(x²+1) ²/² y -1 40 30 20 10 2 3 4 5 Find the arc length of the graph of…

A: Consider the following. y=23x2+132 To find the arc length of the graph of the function over the…

Q: Solve the following differential equation u'(t)+u(t) = sin^2(t)u'(t)+1 with the initial condition:…

A: We are required to solve the differential equationu'(t)+u(t)=sin2t.u'(t)+1 given uπ4=5

Q: Solve the exact equation ( 1⁄2 + 2x) dx + ( + + 2y) dy = 0. x Y The solutions are of the form F(x,…

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