Expand, that is, perform the indicated operations on the differential operator D (xD+2)(xD-2)

Q: Find the area of the finite region bounded be curve y = -x² + 4x - 3 and the x-axis, fr x = 2.…

A: Given query is to find the area under the curve.

Q: Using identities to simplify completely trigonometric expression below :  tan x (csc x - sin x)…

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Q: Find the area of region using integral

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Q: Use the Divergence Theorem to evaluate the surface integral F. ds. F = (x³,2, z³), S is the sphere…

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Q: Suppose that the monthly marginal cost for firefighting portable water tanks is C'(x) fixed cost of…

A: To solve the following problem

Q: Evaluate [**f(x) dx, where T [*ª* f(x) dx = f(x) = (2x³, -π<x<0 [7sin(x), 0≤x≤ π.

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Q: If for some function f(x), then: Timm 2 ² / ( 5 + ²2 ) n→∞0 n j=

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Q: Question Convert the equation r = 6 cos(0) + 3 sin() into an equation in rectangular coordinates.…

A: in polar coordinates   x=rcosθ   and  y=rsinθr2=x2+y2given  r=6cosθ+3sinθ

Q: Check the convergence or divergence of the following series and find the sum if the series converges

A: We have to find if the given series converges.

Q: Let f(x) = = (2x¹, (5sin(x), 0 슴ㅠㅠ ㅇ 름ㅠㅠ ○ ㅠ + 10 83 - 10 0 1 - 10 -ㅠ < æ < 0 0 ≤ x < ㅠ Evaluate the…

A: The function is given by fx = 2x4, -π≤x&lt;05sinx, 0≤x≤π To evaluate: The value of the definite…

Q: Find the length of the curve. Give your answer correct to two decimal places. x = et + et y = 5 - 2t…

A: Given: x=et+e-t ; y=5-2t ; 0≤t≤4.We need to find he length of the curve.

Q: Let f(x) = 3x + 3 and g(x) = 4x² + 2x. After simplifying, (fg)(x) = 12x2 + 6x +3 X

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the x-intercept of the graph of y = ln(x-k) +2. Your answer will be in terms of k.

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Q: Suppose that the monthly marginal cost for a USFS approved wildfire water pump is C'(x) = 40x + 715…

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Q: Suppose f(x, y) = xy² + 3. Determine each of the following: f(0, -2)= f(-2,0)= f(0,0)= f(-3,-2)=…

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Q: 1. Evaluate the line integral where C is the half circle x² + y² = 1, y ≥ 0. 1²+y² ds

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Q: Find the orthogonal trajectory of the curves x² = cy³ passing through (1,4).

A: The given curve is: x2=cy2

Q: Determine 1. limit = 2. limit = 3. limit 4. limit 5. limit lim x 0 3x - x² 6. limit = 3 1 3 3 1 (²)…

A: First I have simplified the expression and then taken the limit. Option (3) is correct.

Q: Consider the series n=1 an where an = √n +5(n+3)! en-7 In this problem you must attempt to use the…

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Q: Find the curl of the vector field F. F = x³yzi+xyzj+xyz²k curl F = Di+O k

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Q: find all solutions y(x) of the boundary value problem y"+9y=0, y(0) =0, y(2pi/3). For arbitrary…

A: here the given boundary value problem is y"+9y=0, y(0) =0, y(2pi/3) y"+9y=0 is an homogeneous…

Q: The marginal profit, in dollars from drilling a well that is x feet deep is given by P'(x) = 3. Find…

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Q: The derivative of cos²x - sin² x 01 sin x cos x sin² x - cos x sin² x sin x cos²x t² dt is cos x…

A: Given query is find the derivative.

Q: answer Choice if the limit exists. 1. limit 2. limit 3. limit = 2 4. limit 0 5. limit does not exist…

A: Given   limx→1f(x)   When   f(x) = 3x2-1, when  x≠1        = 3   , when x = 1

Q: Suppose f(x, y) = x²y + 6. Compute the following quantities: f(0, 0) f(4, -3) • f(-3, 4) . . = =…

A: NOTE: Refresh your page if you can't see any equations. . substitute (x,y)=(0,0)

Q: 7. Find the area of the triangle with B = 83°, a = 7 ft, and c = 12 ft.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: For the D.E. d+7x²y = 0 y(0) = 2, the value of y(1) is

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Q: Determine the value of 3f(x)g(x) lim x-2 3f(x) - 2g(x)

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Q: Let A be a 2 x 2 square matrix such that 2 ^ (₁)-(₂), and 4 (²)-(3) A A 2 det(A). Hint: find the…

A: NOTE: Refresh your page if you can't see any equations. . it is given that

Q: Using the u-substitution u = 3x² + 1, identify f such that the integral =) = help (formulas) x 3x²+1…

A: Solution Given that  u=3x2+1

Q: Solve the given LDE using the method of undetermined coefficients. (D2+D-2)y = 2x -40 cos 2x

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Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(0,…

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Q: find the average vaim of the function fcx) = x² = 5x + 6 cosx on th Interval [-1, [-1,3].

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Q: Find the general solution of the given system. dx dt (x(t), y(t)) dy dt = 9x - y = 5x + 5y

A: Please see the below answer.

Q: Find the average value fave of the function f on the given interval. f(0) = 7 sec²(0/6), [0, 37] 2…

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Q: Let f(x) = lim x →-5- - - 6 48 x-3 Compute the quantities below. Write "DNE" if the limit does not…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Suppose that a particle moves along a straight line with acceleration defined by a(t) = t - 5/2 in…

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Q: 2. If cos a = sin ß = ²³, P(a) € QI, P(ß) € QIII, find the following: c. sin(2a) (* e. sin (2) b.…

A: Note  :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 1 X. Xx4 + 4 +8 dx

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Q: O Use the MVT for integrals to show that there is point c in the interval (0,4) such that sec² (c) =…

A: MVT Theorem: Let f(x) is continuous on [a,b] and f is differentiable on (a,b). Moreover f(a)= f(b)…

Q: Find the most general antiderivative or indefinite integral. 10x13 10x√13 dx =

A: To evaluate the given integral

Q: Find the x-coordinate of the point on the graph of f, between points P and Q, at which the line…

A: Let (x,y) be the point at which the tangent to f(x) is parallel to line PQ.

Q: The bearing from city A to city B is S 20°E and the bearing from city B to city C is N 55°E. (See…

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Q: Find and dy dx x = 3t - 3ln(t), dx dy dt' dt y = 8t² - 8t-2

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: We have to find if the given series convergent or divergent.

Q: Record your estimated quotient, 3. Then multiply and subtract. 7 2 2 2 3

A: Given 223÷72

Q: Find the gradient field of the function, g(x,y,z) = e² - In (x² + 4y²). ¹= Di + i + Dk. The gradient…

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Q: c4 (ex + √x) dx

A: Given query is to find the value of the integral.

Q: tion true, or explain why it does not exist. (1 + c)" =2

A: NOTE: Refresh your page if you can't see any equations. .

Q: A ball is thrown upward from a height of 2 m at an initial speed of 40 m/s. Acceleration resulting…

A: Let's find velocity and height function.