ind a parametric equation for the line that is perpendicular to the graph of the equation 3x + 4y +z = 43 at the point (1,3,2). (t) = (])i + (D)j + ()k

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A: Solution is given below:

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Q: Let D be the region that is bounded by the surface z = x + y² and the plane z = 4. ,2 a) Find the…

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Q: 9. (2xy – sec?x)dx + (x² + 2y)dy = 0 10. (x + 3x³ sin y)dx + (x* cos y)dy = 0

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Q: A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 3.5×10° m and has an…

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Q: 2-the region bounded by y= .the x- axis.x = 2 and x = 3 is revolved about the y-axis find the volume…

A: The region bounded by y=1x, the x-axis, x=2 and x=3 is revolved about y-axis.

Q: B. Let G be a group of order 60. Is there exist a subgroup of G of order 24? Explain your answer

A: Given :G be a group of oder 60

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Q: 5) Evaluate the integrals using appropriate substitutions a) sec 2x tan 2x dx b) 2x+1

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Q: Which of the following could be true if f'(x) = -x O f"(x) = 3 f"(x) = 4x f(x) = -æ O f(x) = -x

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Q: recelve a star on the Hollywood Walk of Fame. 8. Kobe Bryant is a superstar player of Chicago Bulls.…

A: Negation

Q: 4 Points SKETCHPAD Question 7 Leaving in algebraic form, solve the following system of equations us-…

A: Please refer to the image below

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A: We have to find the resultant vector.

Q: PROBLEM 11: 0, 0 6. a) Write the function in terms of the unit step function ua (t). b) Use the…

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Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y.z) = xy + yz + zx, Po(2, -…

A: The given problem is solved below in detail.

Q: n the appropriate interval of convergence, we know that then we can deduce, by applying the ormula…

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Q: Determine whether each of these functions are invertible. If it is, find its inverse. ax-5 a. f:R→ R…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: | 4r* cos y dA; R = {(r, y) : 1 s r s 2, 0 sysa/2}.

A: Given: I=∫∫R4x3cosydA and Rx,y: 1≤x≤2, 0≤y≤π2   As we know that; ∬dA=∬dxdy or ∬dydx And The Power…

Q: 2) Evaluate the integral and check your answer by differentiating. dx b) Jx"(2-x)° dx

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Q: 3. Evaluate the integral x³ - 2x? – 4 dr x³ – 2x? |

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Q: dy without first solving for y. dx Use implicit differentiation to find - 28x4 + 10x2y + y* = 8 dy…

A: The given function,    -28x4+10x28y+y4=8

Q: Q4) Find the largest eigen value for the matrix 1 2 A= with x" (0) =(7/17 1) 5 4

A: simply find eigen value of the matrix A , two eigen value of the matrix

Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

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Q: Q4: Solve the following exact differential equation: 2xydx + (1 + x2)dy = 0

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Q: Test whether the differential equations are exact and solve those that are. I- y = %3D 2yt+1 -2xy…

A: Given

Q: 2. Determine the value of c, so the given vectors are perpendicular: u=[-4c, 3], v = [-1, 2]

A: L

Q: sin(4z) 7. lim I-0

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Q: e2z dx 4e2a – 8ez + 5

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Q: Jse substitution to find the indefinite integral. dx Describe the most appropriate substitution case…

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

Q: Evaluate the integral: V2 1 5xdx *Input answer as a decimal. Round-off to 2 decimal places.

A: The final answer is rounded off to 2 decimal places.

Q: 3. x = y? ,x = -2y² + 3

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Q: Find dx in each of the following. dx2 x= e' cost b. y=e' sint a. y = t-1

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Q: |+ 3t -dt 11t Simplify the integrand by dividing eac .5 |+ 3t -dt = 11t |dt Type an exact answer.)

A: Given:∫1+3t511tdt

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A: The objective of the question is determine the derivative of the given function.

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A: Water molecule have an enormous amount of inter-molecular forces.  10 liters of water would spread…

Q: S(x4 – 4x5

A: Evaluate the integral

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A: Given problem:- Find the volume of the solid of revolution when the region bounded by y = x + 1 the…

Q: Find a point on the parabola y - x* + 9 which is closest to the origin.

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Q: The temperature at which water starts to boil (its boiling point) is linearly related to the…

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Q: 1-Find the area of the region R under y=x? + 3x +2 Between x=-1 and x=2 2-the region bounded by y=.…

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Q: dx (2x241)a

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: I. PROBLEM SOLVING Directions: Read and analyze the problem then solve it. 1. COVID-19 is one of the…

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Q: X+ 0.4Inx 04. lim, X+3lnx

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Q: c) Use you equation to determine the population after 150 min. d) Approximately how many hours would…

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Q: -9dx xVx2-9

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Q: Find the values of Xx, y and z that correspond to the critical point of the function: z = f(x, y) =…

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Q: 2. Determine if the following integral converges or diverges. If the integral converges, find its…

A: We need to check whether the given integral converged or diverges.

Q: x²(3 –4x)dx -4 318 338 358 378 None of the Above

A: Given: I=∫-4-1x23-4xdx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: Please

A: We will solve the integration.