Evaluate the integral [[(+²) i + (5) j+(3t+3) k] dt. 0

Q: 7(4) = X

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A: given  s(t)=5t-2t2we know v(t)=d dt(s(t))dtndt=ntn-1

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A: Given density function:- δx=10-x0≤x≤7x7<x≤10

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A: Given that (b) ϕ=x2yz+4xz2, point is (1,-2,-1) in the direction of 2i-j-2k.

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

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A: Given that two points A(-1,3,2) and B(8,-2,4) and we find the equation of plane that contains all…

Q: Evaluate the integral. 4 I 3 X x² + 4x + 20 dx

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Q: Find the area of the parallelogram whose vertices are given below. A(0,0,0) B(4,3,5) C(6,1,5)…

A: To find the area of the parallelogram whose vertices are given below. A0, 0, 0, B4, 3, 5, C6, 1, 5,…

Q: 10 √6 Ꮎ - 10-0 1) e (10-11) e dᎾ

A: Solve ∫010θe10-θ-1e10-11dθ

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Q: Find the equation of the tangent line to the graph of the function f(x) = 7xcosx + 3 at the point…

A: Given: y= 7x cos x+3 Point (0,3)

Q: If  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

A: Given: limx→1f(x)-8x-1=2

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A: We have gven Graph of Position, velocity, and acceleration Function.

Q: 1²-1 3.1² lim f(x) 878 ≤ f(x) < 3x³+x+2 x3

A: Here we have to find the limit value of the given function.

Q: C. n=1 2-4-6 (2n) n!

A: Given series:- ∑n=1∞2·4·6······2nn!

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Q: Populations starting out in closed environments grow slowly at first, when there are relatively few…

A: Here we have to find the graph of the derivative of the fruit fly population. After observing the…

Q: g(x) = - 5X ; a=0 LN Each graph is displayed in a [-1,1] by [0,20] window. Use the graphing utility…

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Q: كاكا Simplify the expression (32)2 2j)x(2i +6k)

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Q: Suppose x = -5u - 4v + 2w and also x = −4u + 5v + 1w. Find another solution: -0 X = u+ V+ W

A: here we have to find the another solution.

Q: Using the definition, calculate the derivative of the function. Then find the values of the…

A: NOTE: Refresh your page if you can't see any equations. . substitute t+h for t

Q: True or False? O True False The set Span{u, } can always be visualized as a plane through the…

A: A detailed solution is given below.

Q: Suppose that a teacher agrees to pay a student 10¢ for every problem in this chapter that the…

A: solution of this problem is given below

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Topic = Differential equation Correct option = E

Q: Find the angle between the velocity and acceleration vectors at time t = 0.

A: Here is the solution:

Q: We wish to find the velocity after 1 second. In other words, when a = 1. Utilizing this value of a…

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Q: Verify if the given function is a solution of the indicated differential equation. 1. y = In…

A: Verify if the given function is a solution of the indicated differential equation. (1) The DE is…

Q: 10 10 Ꮎ – 11 10-0 (el°-° - 1 ) dᎾ

A: Given,             ∫010θ2e10-11e10-θ-1dθ

Q: Find the general solution of the given differential equation. x²y + x(x + 2)y = ex y(x) = Give the…

A: Solution: The given differential equation x2y'+x(x+2)y=ex

Q: Solve dzy dow -3 뿏 +2y = 르

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: Given :dydx=yxy4-1

Q: dx ly dt dy 11 -e²x+3y Y sin² (t)y² = e-9 sin² (3t) cos² (3t)

A: (a) given D.E is dydx=x2ye2x+3y⇒dydx=x2ye2xe3y⇒(y e-3y) dy = (x2e2x)dxon integration both side…

Q: ses the y-axis. X 3 - 2 1 0 1 2 3 Y₁ 1 6 9 14 Y₂ 0 III - 2 -3 -4 - 5 - 6 12345 I -

A: We will find the required.

Q: Use the Comparison Theorem for integrals to show √312 π(√3 - 1) 6 1/2 sin-¹ x dx ≤ -1 <

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Given differential equation ( 5x4y + ey )dx + ( x5 + xey -2y )dy = 0

Q: Find an equation for the tangent line to the parabola 5r² - 2r at the point P(1, y(1)). 1 y = 8r-5 2…

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Q: lim h - 0 /49+h-7/h

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Q: Find an equation of the line where the planes Q and R intersect. Q: 2x + y -z = 1; R: x+y+z=0

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Q: Evaluate f f (x) dx if f(x) 8 O 12 6 O 14 = 2x x - 1 if x ≤ 3 if x > 3

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