22. √₁² (x² – (2 (x² - 4x + 2) dx

Q: Find the first three terms of the Taylor series in x - a. ex. a=3

A: Given that a function f(x) = ex and a=3. We find first three terms of taylor series.

Q: 3. Given the function f(x, y, z) = x²y³ - y²z³, evaluate fxx, fyz, and fzx. x + y

A: As per our guidelines we are supposed to answer only one question ,please repost the other question…

Q: Find the equation of the curve whose third derivative at any point P(x, y) is equal to 2 and has at…

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Q: Solve for definite integral 5. " (x²-1) dx

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Q: The owner of a skating rink rents the rink for parties at $540 if 30 or fewer skaters attend. For…

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Q: (c) To solve this by calculus, we'd need to calculate substitution u = 1- x² doesn't seem to help.…

A: To explain briefly why the substitution , does not seem to help  to calculate the integral .

Q: Solve the problem. At the Jumping Jack cookie factory, quality assurance inspectors remove broken or…

A: Equation of line passing through two points ( x1 , y1 ) & ( x2 , y2 ) is given as  y - y1 = y2 -…

Q: Find a function f and a positive number a such that f(x) = 3x a= √√ -6 [² f(t) at t4 a 1+ - dt =…

A: Fundamental Theorem of Calculus Part 1:   If f  is a continuous function on a,b , then the integral…

Q: Let M be a hermitian matrix. Fill in its missing entri- M = -3 -9 - 5i 1 - 2i -4 −6+2i 0

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Q: Simplify the expression. ✓-25 √9 Select one: √5 3 a. O b. O c. O d. -- Wher wher 5 3 3 i

A: The expression is given by -259 To determine: The simplified expression.

Q: 2. Determine the derivative with respect to x of: a) f(x)=12* - 60

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Q: Evaluate the integral: cos² (2x) sin (2x) dx Туре U U'

A: ∫01cos22xsin2xdx

Q: Solve the following first order DE: dy x+3x² dx y² a) 2 b) y'+=y= X ‚ then find that solution for…

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Q: Find the equation of the line perpendicular to x = 3 through the point (-4, 7)

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Q: The owner of a skating rink rents the rink for parties at $660 if 30 or fewer skaters attend. For…

A: The owner of a skating rink rents the rink for parties at $660 if 30 or  fewer skaters attend. For…

Q: Sketch the region then reverse the order on integration for Sx=0 Sy=x²-6x f (x, y)dydx

A: ∫x=07∫y=x2-6xxfx,ydydx

Q: TT Find the Taylor series at x = for 7sin(x). (Make sure your answer has at least three terms.) 2

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Q: The owner of a skating rink rents the rink for parties at $360 if 30 or fewer skaters attend. For…

A: Solving the problem

Q: The Fifth Gate After traversing your continuous path, you finally arrive at Gate 5. Your computer…

A:

Q: Find the slope of the curve ab²e-b²=5a-16 at the point (a,b) = (0,4) da ㅇ1 11 렇 O None of the above

A: ab2eab-b2=5a-16

Q: Find the average value gave of the function g on the given interval. g(t) = 2 1 + t²' [0, 9]

A: Given ,           g(t)=21+t2we have to find average value of the function g on the interval 0,9The…

Q: Given below are descriptions of two lines. Line 1: Goes through (3, 29) and (−3, −25) Line 2: Goes…

A: We know that the slope formula between two point (a,b) and (c,d) is  Slope (m)=(d-b)/(c-a)

Q: Find the Laplace tranform of the ff: e3xsin4x

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Q: The function H(t) = −16t2 + 48t + 12 shows the height H(t), in feet, of a cannon ball after t…

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Q: 7. What is the modulus and principal argument of the following complex number? 4(cos(-57/4) +…

A: 4(cos(-5π4)+isin-5π4)

Q: Solve the problem. The quality of the images from an orbital telescope result from a large parabolic…

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Q: Consider the following vector function. r(t) = ( 26, 12², 1²) (a) Find the unit tangent and unit…

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Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: Find a formula a,, for the n-th term of the following sequence. Assume the series begins at n = 1. %…

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Q: Evaluate the definite integral using the given integration limits and the limits obtained by…

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Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

A: Given: g(x) = x+1x2-1

Q: (b) Evaluate [x² sin(x³) dx using substitution technique.

A: Substituting t as

Q: The consumer expenditure, in dollars, for a commodity is the product of its market price, p, and the…

A: Consumer expenditure is given by÷ E=9000p-145p2

Q: n f(x) = 7sin x-3?

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Q: Let f(x, y, z) = 3x6y + 2xy + 4yz7. Find the requested iterated partials. (Use symbolic notation and…

A: f(x,y,z)=3x6y+2xy4+4yz7

Q: Use Lagrange multipliers to maximize the function f(x, y) subject to the constraint. (The maximum…

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Q: 0 3 x√x² + 16 dx 2

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Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the paraboloid x…

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Q: 5. Find the plane containing the line given by x(t)=4+3t, y(t) = -5+5t, and z(t)=3+8t that is…

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Q: Write a polar equation for a conic having focus at the origin, directrix x = e = 5. r = Enter theta…

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Q: [8x(2x + 1)' & dx 5. Evaluate by a complete U - substitution (4 steps) replace all x's with u's}…

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Q: Determine whether the improper integral diverges or converges. O converges O diverges dx Evaluate…

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Q: Use the Limit Comparison Test for 4n² + 2 n(n-1)(n-19) Σ' an bn n=25 to prove convergence or…

A: The given series: ∑n=25∞an=∑n=25∞4n2+2nn-1n-19We need to prove the convergence or divergence using…

Q: Find the points on the surface 5x^2+3y^2+3z^2=1 at which the tangent plane is parrallel to the plane…

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Q: You are given the graph of y = |x + 11. -10-8-6-4-2 y 10 -10-8 -6-4-2 8 + 6 44 2 -2 -4 -6 -8 -10 10…

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Q: Solve the given initial-value problem. xy' + y = ex, y(1) = 8 y(x) = Give the largest interval I…

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Q: 3. Determine the equation of the tangent line to the curve: y = MacBook Air 1 2 3x² when x = -1.

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Q: 5. Prove that xdx a b²_a² 2

A: According to guidelines we are supposed to do first question only. Kindly repost the other question.

Q: Integrate by parts [2x(x-3)* dx Formula: Sudv=uv-fvdu,

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Q: Find the volume of the solid whose base is bounded by the circle ² +² -9 (a circle of radius 3,…

A: To find volume of solid whose base is bounded by the circle x2+y2=9,whenthe cross-sections…