Determine where D is the region enclosed (5, 0, 0), (0,3,0), (0, 0, 3), by the tetrahedron with vertices: (0, 0, 0). I = ₁x av

Q: Find the derivative of f (x) f'(x) 2ex + x³. HO PW

A: dexdx=ex  dxndx=nxn-1

Q: please answer this differential equation: Higher Order Linear Homogeneous Equations with Constant…

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Q: Find dy for y = 5 sin dy= =dx 7x8 8

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Q: Find 3 (4 – x²) ³

A: See the details solution in below

Q: 12 TL² (x+y-z) dz dy dx = 9 Nico 27 8 27 2 A O .BO

A: Option b is correct. This is question based on triple integration.

Q: s(t) If a brick is dropped from a height of 40 ft., its position after t seconds is given by the…

A: Given position function of the brick

Q: Calculate the integral of f(x, y, z) = 9x² +9y² + 28 over the curve c(t) = (cost, sint, t) for 0 ≤ t…

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Q: T -T/2 (-1) 4 2₁ 1 0 -1 -2₁ -3- 0 ㅠ 6 TT/2 1 TT

A: Given query is to find the equation of the graph.

Q: For the function we have Select one: O True O False 3x - 2, 25 ƒ(x) = { 2²ª −2ª, «≥5 Ignore "Give…

A: (1).    Given:f(x)=3x-2,              x<5x2-2xx≥5

Q: Identify the type of differential equation (noting the best way to solve them): 4xy + 2x + (2x² +…

A: To identify the type of differential equation.

Q: 4. State the solution of the following inequalities, and also graph the solution on a number line a.…

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Q: Find the shortest distance from the origin to the graph of the circle with equation given below.…

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Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

A: Given :limx→∞9x-52x+9

Q: -1 0 1 2 If (x)sin(2y) = (y) cos(2x), then what is dx at the point

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Q: 5) Find the following indefinite integral using the by parts method. [3xe³x dx = Sudv=uv - [vdu So…

A: The objective of the question is evaluate the indefinite integral.

Q: Find the differential of the function. y = √2-t8 dy= X

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Q: 2. Consider the function f that satisfies the following: • f is continuous everywhere except at x =…

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Q: Evaluate the integral. T/2 T/2 Icons 0 [cos 5t i sin tj+ sin² 4t k] dt [cos 5t i sin tj + sin²4t k]…

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Q: Write a differential equation that models the given situation. The stated rate of change is with…

A: Given query is to find differential equation.

Q: a) Find b) Find d dx -(sin(2x²)) d dx (2x ln(x³ + 13)) c) Find (37) d dx

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Q: Evalute the integral S² S³ S . 3 cos (6) p² sin(o) dp do de using spherical coordinates.

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: Find the inverse Laplace transform f(t) of the function_F(s) = ln s² +9 s² + 16

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Q: The equation for the path of the particle is y= (x + 1)² +2. The velocity vector at t = 4 is v= (0)i…

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Q: Revenue given by R(q) = 500q and cost is given C(q) = 10, 000 + 5q². At what quantity is profit…

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Q: Using the appropriate theorems, explain why the function is continuous at every number in its…

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Q: please answer this differential equation: Higher Order Linear Homogeneous Equations with Constant…

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Q: \f f(x) = x³ - 2x-1, then f(-2) = (A) -17 DA Эв Oc (B) -13 (C) -5 (D) -1

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Q: 8. Identify the definite integral that represents the area of the surface formed by revolving the…

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Q: Consider the following series. Answer the following questions. 1. Find the values of x for which the…

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Q: A rectangle R with sides a and b is divided into two parts R₁ and R₂ by an arc of a parabola that…

A: Equation of the parabola? Since it's an upward parabola passing through the origin, so its general…

Q: Question Evaluate the sum of the series Provide your answer below: n=0 n+1 182n-1 .Enter an exact…

A: We need to find sum of series.

Q: Determine the intervals where the function f(x) = x-5 In (x2) is increasing and where it is…

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Q: If f(x)=x³x²-3, on the closed interval [-2,5]? 5. then what is the minimum value function firat…

A: Given: fx=13x3-12x2-253, x∈-2,5 Use the Power law: ddxxn=nxn-1   For maximum and minimum values,…

Q: If the radius of a sphere is increasing at a constant rate of 3 cm/seccm/sec, then the volume is…

A: GivenThe radius of the sphere is increasing at a constant rate of 3cm/sec.   We need to find the…

Q: Find the value of a so that for f(x) = x³ + ax² − 10x+6 and the interval 0 ≤ x ≤ 4 the location…

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Q: 3. If f is the function given by f(x) = -x³ + x² + 3x-2, name the open interval where the graph of f…

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Q: Growth of Bacteria  The growth rate of Escherichia coli, a common bacterium found in the human…

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Q: lim (x-7) cotx X-T

A: To find out the limit.

Q: 6. DETAILS Evaluate the integral. √3 5 75√3 4 5 75√3 4 5 24 A 2-3 Submit Answer =dx

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Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

A: Given limx→∞ x + 5x26x - 1

Q: A polynomial P is given. P(x) = x²4 - 2x² - 3 (a) Find all zeros of P, real and complex. (Enter your…

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Q: The gas equation for one mole of oxygen related its pressure P (in atmospheres), its temperature, T…

A: GivenT=25V-14V2-25P+10PVWe need to finda. Temperature T given V=5dm3 and P=2 atm.b. Rate of change…

Q: please answer this differential equation: Higher Order Linear Homogeneous Equations with Constant…

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Q: You need to provide a clear and detailed solution for the following Questions: Question 1 (3 >…

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Q: If a book is dropped from a height of 96 ft., its position after t seconds is given by the function…

A: Given function:- st=-16t2+96

Q: By changing to polar coordinates, evaluate 1° °° e-√²²+ y² dz dy. е 0

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Q: nd the derivative of the fun 2) y = log 3 √√√7x+7

A: Find the derivative of the function  y=log37x+7

Q: a) What is the modulus of z = 6√26+ √26i 1-i b) Let v= and w= if these two vectors are orthogonal…

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Q: -, tanp 5 Given cosa =- = 5 12 and a and ß are not in Quadrant II. Evaluate the following:

A: given  α and β is in are not in 2 quadrant given tan(β)=-512tab(β) negativen in 2 and 4 quadrant…