Find an equation of the plane. The plane through the points (2, –1, 3), (5, 3, 6), and (-3, -3, -3)

Q: answer 29 and 30

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Q: Write the equation in standard form of the circle whose diameter has endpoints of (-2, 4) and (8,…

A: Given,            The circle whose diameter has endpoints of -2,4 and 8,-6.To find : Write the…

Q: Solve the system of equations. x+2y = 0 8y = - 4x Solve the first equation for x. x +2y = 0 x = y

A: x+2y = 0 8y = -4x 2y = -x put this in equation  so the the equation has infinite solution    x + 2y…

Q: If a > b, it is possible to have log,(a) < log,b). (As usual with logarithms, a and b are positive…

A: From the rule of logarithmic inequality, If x &gt; y , then logax&gt;logay if x, y&gt;1 If x &gt; y…

Q: Consider the ellipse 64x + 289y + 384x + 1156y - 16764 = 0 What are the foci of the ellipse? Enter…

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Q: To evaluate the integral xe2" da using integration by parts, the best choices for u and dv are: u =…

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Q: u(x) = (tan? x – a²)³ - Select the correct response. 3(2 sec? x tan a- 2x)(tan? r- a²)² o 3(tan? r –…

A: Given that       u(x) = (tan2x - x2)3

Q: d d Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: N(t) at the given point. cos(t)i+ 6 sin(t)j+ tk; t = 2

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Q: 1. For the shaded region shown, determine the following using vertical strip: 5 a. Area x= 2y - 3 4…

A: The given equations are: x=2y-3 and y=x-22-12. Fromx=2y-3, we get: y=x+32. Plug this into the other…

Q: . Solve the boundary value problem y" – 18y'+81y = 0, y(0) = -3, y(1) = 1.

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Q: Question 8 of 10 v(x) = 4 cos(sin(3x)) Select the correct response: –12 sin(3x) cos²(3x) -12 cos(3x)…

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Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

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Q: C. Sketch the graph of the following functions analytically. 8. f(x) = r2 – 4

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Q: Question 5 of 10 r(x) = cot2(3x² + 1) Select the correct response -6x2 csc(3r? + 1) cot (322 + 1)…

A: r(x)=cot23x2+1Differentiate w.r.t.xr'(x)=ddxcot23x2+1Apply chain…

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

A: f(x)=ln(x2)-0.7xl =0.5xu=21st iteration:  Here f(0.5)=-2.0863&lt;0 and f(2)=0.6863&gt;0  ∴ Now, Root…

Q: 3. Supply the missing integrand and limits of integration. 61y drdy fip (b) 62y dydz =- dr

A: Solve it.

Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

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Q: dy = 2 x cos ( 3x² ) and y(0) = 1. Suppose d x What is y(1)?

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Q: Show the solution.  1) What kind of triangle whose lengths of the sides are 11, 15, and 9? 2) A…

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Q: The best method for finding the antiderivative of / V5 – x²dxis | integration by parts algebraic…

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Q: Solve the following Initial Value Problem using Laplace transform: y" – 9y' + 8y = e-8t ; y(0) = 1,…

A: The given equation is  y''-9y'+8y=e-8t; y(0)=1,y'(0)=1

Q: Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 7

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Q: Hawad Findthe areas fak the fallowing regions 2 Area af the region insidethecircle (r=1) and outside…

A: Given

Q: n? n5 +2 n=1 WI

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Q: The result of the following double integral is 2 SS T oxy²z dxdzdy = ? -2°0 None of he others O -21…

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Q: 2x3 + 1 x3

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Q: The space within a one mile racetrack consists of a rectangle with a semicircle at each end. To make…

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Q: vertices (0,0), (0, 4), and (5,0).

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Q: 10 15 -10 -5 10 15 -5 10 -15 -20 Find an equation for the ellipse. Equation of the ellipse Preview…

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Q: (Drag and drop the missing words) In the integral dx Va? we may use x= and dx= substitutions to…

A: We have to evaluate the integrals using substution method.

Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the laplace…

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Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

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Q: 3. The height, in metres, of an object thrown from a rooftop is given by the equation h(t) = -x? +…

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Q: d d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [r(t) × r2(t)] first by…

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Q: Find the volume of the triangular prism to the right. 12t The volume of the prism is . (Type an…

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Q: The best substitution to use for the integral sin z V1+ cos z dx

A: when we substitute, u = 1 + cosx then the value of du = - sinx dx

Q: Evaluate the following double integral .3 a) Evaluate I | 8xy dxdy= ? 1 0.

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Q: 3. Determine the differential coefficient of y =-+2x – 3 when x = 7 4. If f(t) = 3 sin(4t + 0.12) –…

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Q: Write the general equation for the circle that passes through the points: (0, 0) (6, 0) (0, - 8) You…

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Q: 1 Write step-by-step solutions and justify your answers. (1) Solve the initial-value problem 3"…

A: 1)y"+y'-6y=0Auxiliary equation is;D2+D-6=0(D+3)(D-2)=0D=-3, 2Roots are real and distinct.Hence, the…

Q: Find area between f(x) and the x-axis on the domain 1<x<infinity.  show work including proper limit…

A: Given query is to find the area.

Q: For time, t, in hours, Osts1, a bug is crawling at a velocity, v, in meters/hour given by 7 v = 6 +t…

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Q: Consider the function y= ¿x³ – a. Sketch the graph of y= -x³ - 9x + 4. b. Find and describe the…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e° sin(t), K =…

A: Let's find.

Q: 4+x a) lim- 1+(3+ x)

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Q: Consider the following functions. f(x) = 6x – 5, g(x) = !! 3. Find (Fo g)(x). Find the domain of (Fo…

A: f(x)=6x-5  , g(x)=x3Consider(f∘g)(x)=f(g(x))             =f(x3)             =6x3-5…

Q: Work Problem [ solutions and justify your answers. Write step-by-step (1) L. | Solve the…

A: The given differential equation can be solved as follows:

Q: Find the arc length of the parametric curve. x = e', y = e, z = v2t; 0<t< 9

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Q: Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1) You…

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