Evaluate the definite integral by the limit definition. L²(x² + 4) dx Submit Answer

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A: given f(x)=10x+12-9ex

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Q: Which of the following is the complete set of roots of the auxiliary equation fory"'' - 3y "' + 3y…

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Q: у=ех

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A: Given problem:- Find a vector v→with initial point -4,-2,1 and terminal point -12,5,-8.Then find a…

Q: 2 Let F(t) = (+²5¹ √5t – 2, sin (5t)). t-5' fF(t)dt f(t)dt = ([ Find (don't include the +C) + C

A: Above question is solved.

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A: Here we have to use the concept of derivatives

Q: What form of the particular solution is appropriate for the differential equationy "'- y'=4? A B C D…

A: To determine the form of the particular solution that is appropriate for the differential equation…

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Q: 3. Evaluate f(x) = 15 – ½ (x) for f (4). a) 16 b) 14 c) 13 d) none of the above

A: 3.  This is a problem of polynomial.  Here given a polynomial f(x) and find f(4).

Q: Solve the differential equation dy dx y+√√x² + y² X ; when x x = a. y² = 2x-1 b. x² = 2y-1 2 c.…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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A: (a) The vertices of uv-plane is given as , P*=0,0 , Q*=1,0 , R*=0,1 , S*=1,1 and the vertices of…

Q: The area of a square is increasing at a rate of 56 centimeters squared per second. Find the rate of…

A: Given data÷ Rate of change of area  =dAdt=56cm2/s Side of square =a=4cm We need to find dadt=?

Q: Find the sum of the first four terms of the series. S4= (-1)^(1+3)*1+(-1)^(2+3)*(1)/ (Remember that…

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Q: 5) each k=1 (- series, find the sum. k - 1 6) k=1 +1) (k+2)

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: Apply the limits to solve

Q: -5-4-3-2 Ob Oa Oc Od 1.- 1 -1- -2 -3- y 3 24 1 12 Check Answer 345 +4-3 -5-4-3-2 243 116,536 1 -1-…

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

Q: Exercises: Use the theorems on limits to evaluate each of the following, if it exists. 1. lim (2x³…

A: See this solution in below.

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Q: sec 2(t)- 9t2 Justify your response. b. Find the antiderivative of f(t) = s

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Q: Find the arc length (s) of the curve r(t) = (3t, 2 sin(2t), 2 cos (2t)) for -4 < t 5 S = Check…

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Q: Convert x2+y2= 26 to an equation in polar coordinates in terms of ? and ?.

A: The given equation is x2+y2=26 we have to convert this equation into polar coordinate in terms of r…

Q: Devin invested an amount of $10,000.00 in a mutual fund. After 2 years and 6 months the accumulated…

A: The solution is given below

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Q: Given f''(x) = 7x - 2 and f'(0) 2 and f(0) = 1. Find f'(x): and find f(4) =

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Q: Evaluate the indefinite integral. 2x - 3 (2x² - 6x + 1)6 dx + C

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Q: Evaluate f 4x²-3x+2 X dx.

A: Given, ∫4x2-3x+2xdx

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Q: Let E be the solid below z = 50- x² - y² and above the square [-5, 5] × [-5, 5] Given the solid has…

A: Let's find moment of inertia of E about z axis.

Q: Differentiate the following function. You do not need to simplify the derivative. dy d.x || y = 2e²²

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Q: State whether the given sums are equal or unequal. 20 20 Aj and ke j=1 k=1 O Unequal O Equal > Next…

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Q: Find the area of region A in the figure if the equation of the boudary is r = 4 cos (0). r=1 A A = X…

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Q: 1. Evaluate the following matrix operation: [5 3 a. A = 1 -4-3-1 L2 b. |B| C. C = 31-33+231 5+20 0 1…

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Q: (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

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Q: Q-3: a) b). Using logarithmic differentiation, find the derivative of -3x√2x-5 (6-5x)4 - 34x = 0.…

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Q: TU 8. fz sin¹x cos5 x dx 2 0

A: To find the value of the given definite integral:∫0π2sin4x cos5x dxWalli's Formula:∫0π2 cosnx dx=…

Q: 2 x 0 2x+53 +18x+130 -dx

A: In this question we have to solve the given Integral.∫012x+53x2+18x+130dx

Q: Find the second derivative of the vector-valued function r(t) = (4t+ 6 sin(t))i + (6t+ 3 cos (t))}…

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Q: tan x-sec²x +3=0

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Q: 1/5 a) S J1/10 10 Arc sin(5x) dx

A: Please see the below picture for detailed solution.

Q: Find the unit tangent vector to the curve defined by 7 r(t) = (5 cos(t), 5 sin(t), 2 sin² (t)) at t…

A: To find the unit tangent vector to the curve defined by r→t=5 cost, 5 sint, 2 sin2t