•SCOS'E TIFLAME Cos² tant 24. Sa sec²t Cos² t√u и dt du u= It tant du sec²t dt = J dt = Sec²t what next? du

Q: sec 3 x tan x (sec ³x sec³x secrx S see of secxu S u ли secx u du dx let a = tan x du = sec² x dx…

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Q: Q31 Find the Laplace Transform to the following function L sin2t cos3t

A: Given: Lsin2tcos3t

Q: Matrix has only one row call Row Matrix. multiply a matrix (A) by another matrix (B) if the number…

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Q: A study estimated how a person's social status (rated on a scale where 100 indicates the status of a…

A: The status of a person at an income of i thousand dollars is S(i)=17.5(i-1)0.53

Q: • (-1) k2k k² k=1 Use the Ratio Test to determine whether converges absolutely or diverges.

A:

Q: 8 Given g(x) = -2x³ + x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g(-x). 8 (-x) =

A: We can solve the question as below.

Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

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Q: Evaluate the following integral using inversion of order: of 2³ dydx Remember to show complete…

A: Given integral ∫01∫x3x2 x5  dy dx

Q: Find the total area of the shaded regions enclosed by y = 3x³x² -x² - 9x and y = -x² + 3x. 8+ Q The…

A: Area bounded by two curve  f(x)  and  g(x)  from a to b Area =∫abf(x)-g(x) dx

Q: fx tan x x dx

A:

Q: Given the points A(-8, 2, 3) and B(-8, 2, -4). Question 3 a). Write parametric and symmetric…

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Q: dy Solve the differential equation = dx = -5x√y. √y = -5x² + Cor y = 0 √y = -5x² + Cor y = 0 2 √y =…

A: Here is the solution:

Q: Q5: A- Find the mass of the region cut from the sphere x+y+z=a² by the cone z = √x² + y² if the

A: We have to find the mass of the region cut from the sphere by cone.

Q: A rectangular tank with square base, an open top, and a volume of 10,976 ft3 is to be constructed of…

A: We have a given rectangular box with volume of 10976 ft^3

Q: Find all the values of x such that the given series would converge. 5" (x")(n+1) (n+8) 72=1 The…

A: solution is given below

Q: 6. Mr.Eltohamy is the quarterback of the MPM2D1 touch football team. During the game, he passed the…

A:

Q: nd the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -x³-7x…

A: Use derivative for finding the increasing and decreasing interval.

Q: 1 The linear approximation of tan-6° is? approximation of 3√9 is? 2 The linear

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Q: The directional derivative of f(x, y) = xey + cosxy at P,(2,0) in the direction of the vector 3i -…

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Q: ·S In (x) √xln(x)-x =dx

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Q: x fare cos = dx 2

A: Indefinite Integration

Q: The value of limx→0 ex-1-x x² by using series is о о -1 O 0.5 O 1 O -0.5 O

A: Solving the following limit problem,

Q: Given u x 7 = (-1,4, -2), find ( − 3v) × (u + 5v).

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Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: Solve through finite differences with four subintervals: + y = 0, y'(0) + X(0) = 2, dr² x ( + 7) + (…

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Q: Find the value of y if x=2.5 from the set of points (0,5.5) and (5, 7.5)

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Q: Domain star tree door cloud O Function O Not a function Relation 1 O Function O Not a function Range…

A: Solution

Q: Consider the line y = -8x+5. Find the equation of the line that is parallel to this line and passes…

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Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x-2) + 1+ X - 2 - 8 12(x - 2)²…

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Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

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Q: Suppose x-j, for j-0, 1, 2, 3 and it is known that Find Po123(1.5). P₁1(x)=x+1, P₁2(x)=3x-1, and…

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Q: 10. Use the definition of the limit of a sequence to prove that (3n+1 lim 2n + 5/ for all positive…

A: we have to use definition of limit of sequence.

Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z + 6 = 0 is 3.7 False True O O

A: We can answer the question in the following steps using the required formula.

Q: ains 200 liters of fluid in which 30 grams of salt is dissolved. Pure water is then pumped into the…

A: Please refer to the image below

Q: A) estimate the area of the graph of f(x) = 25 - x² From x=0 to x=5 using approximating rectangles…

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Q: 3. Solve below definite integrals (a) [²3test d (b) ["* dt, 3tedt, ["¹ (c) In(x) -d.x,

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Q: If the volume of the parallelepiped determined by the vectors A = i + ak, B = 8i - 5j + ak and C =…

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Q: The strength of a patient's reaction to a dose of x milligrams of a certain drug is R(x) = 4x√11…

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Q: (b) Use the Fundamental Theorem of Calculus to evaluate the integral .8 So da dx x-6 x+8

A: Need to use the fundamental theorem of calculus to solve this integral.

Q: 2. S dt

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Q: 1) / sen(x) 4+ cos²(x) I 1+4x² 2) [√5/2 S² 3) 0 4) 1 x² - 2x + 2 dx √ √2/2 are 0 X dr √2/2 arccos(x)…

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Q: a. A rectangular pen is built with one side against a barn. If 600 m of fencing are used for the…

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Q: Suppose that the function fis defined as follows. f(x) = - 1 0 1 2 3 Graph the function f. if -2.5 <…

A: Here we have to graph the function.

Q: Differentiate tan (x¹3t) with respect to x, assuming that t is implicitly a function of x. dt (Use…

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Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: By using the compund interest formula

Q: - If f(x, y) = cos(2x) − x² e5y + 3y², then f xy = -10x e5y True O False O

A: I have stated the used formulas in the solution.

Q: Find positive numbers x and y satisfying the equation xy=9 such that the sum 3x+y is as small as…

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Q: We want to use the Alternating Series Test to determine if the series: Σ (-1)²+1 k=1 converges or…

A: Given series ∑k=1∞  (-1)2k+1 k3k7+17

Q: If the vectors a and b are such that a = kb where k is a positive scalar, then the vectors a and b…

A: Given a and b are vectors Such that a=kb and k is positive

Q: 5. Evaluate the improper integral S₁ 1 (x-3) 5/3 dx.

A: