∙1 Ꮭ ᏝᎽ 1-x-y z dz dy dx

Q: 2. (9y-2 +6y-4-y-5+1) dy 3. √ (12x²-x²+x²) dx

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Q: An investment produces a perpetual stream of income with a flow rate of R(t) = 1,500 e 0.02t. Find…

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Q: Set up the triple integral that will give the following: the volume of R using cylindrical…

A: We have to find

Q: What is the integral of (2 sec^2x - sinx) dx? * O 2 cosx+tanx + C 2 tanx + sinx + C 2 tanx + cosx+C…

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Q: A manufacturer needs to make a cylindrical can that will hold 1.5 liters of liquid. Determine at…

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Q: Use the linear approximation to estimate In (√0.99).

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Q: Prove that the last two digits of 2" cannot be 02 and the last three digits cannot be 108.

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

Q: The following differential equation is a Bernoulli equation: 2 dy = y³ where y = f(t) dt t By making…

A: To convert into linear differential equation.

Q: Find the center and the radius of the circle with the equation x2+12x+y2+6y−99=0   Enter the…

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Q: Let f(x) = e2sinz 1. Use the local linear approximation of f at x = 0 to approximate e2 sin(0.01

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Q: A small business determined that the price-demand and cost functions for producing and selling x…

A: We have to find the production for minimum average cost.

Q: Find the area of the surface generated by revolving about the x-axis the ellipse x = acost, y =…

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Q: For which values of n is the function ya solution of the differential equation xy"-Kxy'-6y=0

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Q: 2x x→∞ 3x² +5 3x xx√√√x² x² +4 X lim x→→∞ 2 sin î (a) lim (b) lim (c)

A: Given

Q: - 4. Find the area bounded by y = x - x² and y = x(x − 2)(x+2).

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Q: Suppose that the number of crates of an agricultural product is given by 11xy-0.0002x² - 5y Z= 0.03x…

A: Suppose that the number of crates of an agricultural product is given by z=11xy-0.0002x2-5y0.03x+4y…

Q: Evaluate the integral: 1 - coth² (log₂ x) S² x cosh(log₂ x) dx

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Q: VI. Determine the instantaneous rate of change of the functio: sin (³) f(x) = V² siz r³ 1 + √t at x…

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Q: 21,n *** a1,1 1,2 1,3 02.n ... 0 02,2 02.3 0 0 03,3 03.1 ... 1 0 00 Onn, field K and n € Z₂1.…

A: The matrix,M:=a11a12a13..a1n0a22a23..a2n00a33..a3n............00000ann∈Matn×nK be an upper…

Q: Use the Second Derivative Test to find all relative extrema. h(t) = -x + 6x² - 4

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Q: lim x→0 sinh x2 – x2 sinhx−x

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Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

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

Q: Evaluate 2y"+3y'-2y-te-2t ,y(0)=0, y'(0)=-2

A: answer is in next step. please give a like !!

Q: Problem Revolve about the (a) x-axis and (b) y-axis the area enclosed by y² = x and y=x³.

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Q: Determine the following integrals: 1.1.1 ļ (cos2x+sin x) dx x+1 .1.2 1₁ JF dx x + 2x+1 2 1.1.3 | ₁…

A: ∫ sin(ax) dx =-cos(ax)a+C       and     ∫cos(ax) dx =sin(ax)a+C ∫xn dx = xn+1n+1+C Note : As per our…

Q: Find the area in square units bounded by the following: (Show graph and detailed solution. Box final…

A: Here, the area bounded by the curves: y=x3+1 and x-axis  with the limits x=0 and x=3 is:

Q: Use the linear approximation to estimate In (√0.99).

A: Given problem:- Use the linear approximation to estimate In(3√0.99).

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: topic- quadratic equations and derivatives

Q: e e (lnx)³ dx X

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Q: What is the center of gravity of the solid formed when the plane region bounded by y^2 = 4x in the…

A: First we sketch the given region using a graphing calculator as shown below:   The shaded region…

Q: 12. We have the following width measurements of 80 meters wide lake Distance: 0 10 20 30 40 50 60 70…

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Q: Evaluate the following integrals using a trigonometric substitution. Hint: complete the square for…

A: Please see the answer below.

Q: - 6 = ₁6 -X

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Q: 1. Let B = {. What is A. C. B. ( D. cannot identify } and the operation * is defined by the table…

A: To find what element we get after operating the given elements.

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by 3 L(x,y) = x²…

A: We will use partial derivative to find x and y.

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

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Q: Evaluate the limits using the L'Hopital's Rule. lim (tan x)(sin x- x-1) x+2+

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Q: Determine the values of r for which the differential equation y" +9y' + 20y = 0 has solutions of the…

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Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

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Q: Can you solve this and show work clearly, the first part is X to the 3

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Q: Find symmetric equations for the line through the point (1, -2, -4) which is orthogonal to the plane…

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Q: 3. coth 3x dx

A: To evaluate the integral.

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: the Using the shell method, what will be the equation of the volume of solid formed when the region…

A: Using shell method, equation of volume is given.

Q: The price of a popular gaming console is related to the quantity demanded by the equation 2p² + x² =…

A: We need to differentiate the equation and calculate the unknown.

Q: A.The table indicates that a(1)= 2m/s. What does that tell you about the velocity B. The table…

A: Given

Q: Evaluate the integral of e^x^3 x^2 dx from 0 to 2. * 973.10 O999.40 876.56 993.32 Final rated…

A: As per guidelines,  we support one question in one request . Kindly repost next question in next…

Q: What is the y-coordinate of the centroid of the plane region bounded b y = x^2 - 4 and y = 2x - x^2…

A: Y coordinates of centroid of plane is given.

Q: = ²/²/² ( e ² + e^²^²) 3. Obtain the Maclaurin series for cosh x using the fact that cosh x =

A: Given the function,   cosh x=12ex+e-x

Q: 1-) x ² ( xdx tydy) = (x² + y²) dx ; x =1 when y=2

A: