Determine the Cartesian equation of a plane that is perpendicular to the plane x - 2y + z = 6 and contains the line (-x+2)/-3 = y + 1 = (z+1)/2

Q: claurin series for the given function. e² - e- 3 2 lor series generated by the function f

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Q: A ship leaves its port and sails on a bearing of N35°30'E, at speed 24.8 mph. Another ship leaves…

A: This question is related to cosine formula of traingle , we will solve it using given information

Q: Evaluate the following triple integral by hand: 2 }}} ij X'√= dxdydz= y³ z=1 y=2 x=-1

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Q: √x²+25 - dx= x X=5secØ and Ø = sec الخيار رقم 1 0 X=5tan and Ø = tan-¹) X=5sinØ and Ø = sin ||| خيار…

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Q: 03: Evaluate the following integrals dx (1) S 2√x (1+√x)

A: Given: I=∫dx2x1+x2    ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: If the demand for a pair of shoes is given by 2p+ 5q = 200 and the supply function for it is p-2q =…

A: In this question, we want to compare the quantity demanded and the quantity supplied for a pair of…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: The Interior angle of a regular octagon has a measure of: CA. 120%. OB. 135% C. 45 D. 60° COC

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Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: y = 7 cos(x), y = 7 - 7 cos(x), 0 ≤ x ≤ π

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Q: 18 What is the total degree G? 3 6 5 VI e₁ V2 ez VA

A: From the given graph G, we have to find its total degree

Q: x² 3 (x + 2)5 S dx

A: ∫un du = un+1n+1+C

Q: 14 Approximate (x²-6) dx using 4 rectangles. 2 It is approximatley (If necessary, round to two…

A: Please follow the next step.

Q: = √x Q3-Find the volume of the solid (x + y) bounded by y = x = 3 and

A: Follow the procedure given below.

Q: PLEASE RECHECK THIS ANSWER AND ANSWER IN 2 DECIMAL PLACES. UPVOTE WILL BE GIVEN

A: the given solution is correct.

Q: Given the function, f (x) = -2(3)*+² +7 a) Find the average rate of change of f(x) between x = 4 and…

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Q: ■ Show that the area of the triangle whose vertices are the [X1 У1 points (x₁, y₁), (X2, Y2) &(X3,…

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Q: 2x dA over the region R Find ₁² of a solid {(x, y) |0 ≤ x ≤ 3,0 ≤ y ≤ 5} by identifying it as the…

A: Solve

Q: Find the first derivative of sin x y = In 1+2 In x x cot x-2(In x) cot x-2 x(1+2 In x) x cotx+2(In…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: All computations in this section must be done by the definition of Taylor series (taking…

A: For (4), Given: f(x)=2x3+x2+3x-8. Now,          f'(x)=6x2+2x+3f''(x)=12x+2f'''(x)=12

Q: Find the partial derivative of z with respect to x (32) for z = (3x² + 1) cos(x²y) O None of the…

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Q: 3x+2 2+9x+1 dx

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Q: 1. If f(x) dx = 3, evaluate [[1 + 21(x)] dx using the properties of interga 2. If f(x) dx = -2 and…

A: As asked we can answer question no 1 and 4 as below.

Q: Part 2. Find the Standard Equation 4. parabola with vertex at (5,4) and focus at (-3,4)

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Q: dx (x+3)²-25 7.57

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: Given Equation :- x2+y2-24x-16y+188=0

Q: Determine whether​ Rolle's theorem applies to the function shown below on the given interval. If​…

A: This question can be solved using the concept of Rolle's Theorem.

Q: Determine the Cartesian equation of a plane that passes through a point (2,1,-5) and perpendicular…

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Q: Solve the initial value problem y" + 4y′ − 32y = 0, y(0) = a, y′(0) = -80. Find a so that the…

A: We can solve this as follows:

Q: Find the slope of the line tangent to the graph of f(x) = 4 - xatx = 2. Provide your answer below: m…

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Q: Homework) read the following mathematical steps of finding sum of series. Σ 2n = 1+2+4+8+16+ ....…

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Q: Q2-Solve the differential equation dy = y - xcos² (2 dx x

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Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

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Q: [x√x + 1dx

A: Here we have to integrate I=∫xx+1dx

Q: A car purchased for $40,000 depreciates exponentially. After one year, the car is valued at $25,000.…

A: We have to find depreciating after 3 years.

Q: 2. If w = f(x + ct) + g(x- ct) show that c²wxx = Wtt C= constant.

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Q: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

A: Given that,

Q: 3: Evaluate the following integrals: (2) 4*+23x - dx 2x

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Q: Find the maximum rate of change of the function f(x, y) 3y5 x at the point (3,4)

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Q: For the curve f(x) = 2-5x +4x², the slope of the tangent is -5 + 8a at the general point where x =…

A: This question is related to tangent to the curve, we will solve it using given information.

Q: (6) Solve the following differential equations of 1 -(- ´, ny)dr = 0 y j 21 ...... (y-xy) dx + xdy =…

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Q: Find the area of the region bounded to the right by x = y + 3 and to the left by x = y² + 2y + 1. K…

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Q: d²y dy 2. +4 + 4y = 0, when x = 0, y = 1, y' = -1 dx² dx

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Q: 2 IF □ is defined by ▼ ах functions and A&B are differentiable Show that • (A+B) = √•A + V•B. = it 2…

A: Please see the below picture for detailed solution.

Q: > For y, polynomial x = y₁ 1 D²-2 [x²] y, = [-1-D² +...]. [2x+3]

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Q: Suppose the Candy Company chose to use design C. How many cubic centimeters of material would they…

A: Concept: The volume of the Cylinder: V=πr2h Here r is the radius of the base of the cylinder and h…

Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-3t 5t = 0

A: The general solution,y=c1e5t+c2e-3t

Q: 1. Evaluate the iterated integrals. √27x² (a) [sin - dydx (b) √√x² - y² dydx

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Q: Use polar coordinates to find the limit. [If (r, 0) are polar coordinates of the point (x, y) with…

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Q: 1. In x x² dx

A: The given integral is: I=∫16lnxx2dx   So, we can also write as; ∫16lnxx2dx=∫16lnx·1x2dx=∫16lnx·x-2dx…