Find a plane containing the point (-1,-7,-8) and the line of intersection of the plan 6x + 4y + 4z = 94 and - 8x + 7y 2 = 99

Q: Give a possible formula for the function below. Let A = (-1, 32) and B = (1, 8). Use the general…

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Q: Evaluate the following integral. Sx12xdx x12*dx = (Type an exact answer. Use parentheses to clearly…

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Q: 4. 4 1 SSx 20 x²ydxdy

A: Topic = Integration

Q: The temperature of a patient t hours after taking a fever reducing medicine is T(t) = 98 + 8/√t…

A: Here i have find the answer upto 4 decimal place.

Q: True or False: We have Select one: O True O False 0 8 √xdx = 12.

A: Let's solve given integral.

Q: Find the position of a body moving on a coordinate line at time t for an acceleration a= dt² initial…

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Q: Use the nth term test to show that the series is divergent, or state that the test is inconclusive n…

A: We have to use the nth term test to show that the series is divergent, or state that the test is…

Q: Let a = (5, 5, - 3) and b = ( – 5, 3, 0). Find the projection of b onto a. proj¡ b = <

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: 3x²³-2x² + 3kx + 18 by x- 6 to be equal to zero, k must be equal to.

A: Use division

Q: x²-1 da X

A: We have to evaluate ∫x2-1x dx.

Q: Solve the following initial value problem. (-1/2) dr de = sin(-60), r The solution is r(0) = (Type…

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Q: Let a =(4, 1, 5) and 6 = (2, -5,5). Find the angle between the vector (in radians)

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Q: Q2 a) Find a solution to the IVP: y" - 5y' + 4y = 0, y(0) = 6 and y' (0) = 2. b) Classify each…

A: First we shall find auxilary equation and its root then find the solutions

Q: can you please write it clearly for better un

A: To convert the polar coordinate 5, π4 to Cartesian coordinates.

Q: Use an area formula from geometry to find the value of the integral by interpreting it as the…

A: Find the value of integral

Q: equilibrium point, and (c) the producer surplus at the equilibrium point. 7 1 -x+ 27, S(x) = x+3 10…

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Q: The number of people in a town of 65,000 who have heard an important news bulletin within t hours of…

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Q: Given the velocity v=ds/dt and initial position of a body moving along a coordinate​ line, find the​…

A: Solution is given below:

Q: For any two nonparallel vectors a and b, it holds that Select one: |3a + b > 3|a| + |b| 13a + b <…

A: Use vector triangle inequality

Q: Find the differential equation by eliminating the arbitrary constant/s. 1. y¹= x(2e + c) 2. y = Ae³x…

A: 1. y-1=x2ex+c Note:     Multiple questions are given, we are answer with only one question. If you…

Q: In the find and prove of lim”→0 (x³), how and what should be defined in terms of ? A. 8 = min {1, §}…

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

Q: Find the volume of the tetrahedron bounded by the plane z=4-4x-2y and the coordinate planes. I

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Q: B: e²+² dydx Jo Jo

A: To solve the integral ∫0∞ ∫0∞ ex2+y2dydx

Q: Question [ a) Show all your work. Evaluate 3 L(x-1 (x − 1)√√x + 1dx

A: As per the rules we can answer only the first question and rest can be reposted.

Q: Graph the function. n(x) = x -3 for-4<x<-2 for -2<x<4 -x² +16 for x ≥4

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Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

A: Basic conversion ways of polar form to Cartesian form are used along with concept of geometry.

Q: Find the dot product of the following vectors u and 7.

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Q: X-3 (x-2)(x+4) dx

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Q: The United States population (in millions) is predicted to be P(t) = 317e0.01t, where t is the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take derivative

Q: The population of a city t years from now is predicted to be P(t) = 0.50t³ - 3t² + 3t + 200 thousand…

A: The given data is: Pt=0.50t3-3t2+3t+200 ..........(1)

Q: Let f(x) = { 3x² + 2₁ 2x - 3, 3 be a piecewise function. Evaluate 5 if x < 3 if x ≥ 3 f(x)dx=

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Q: 4. 4 1 [x²ydxdy 20

A: The given double integral is;  x2y, x from 0 to 1, y from 2 to 4.

Q: Let à = i +43 and b - 37 - 7j. Find a . b

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Q: By using trapezoidal rule, n=2, The integral = π/2 sin (x) dx 0.9444 O 0.9481 O 0.94809 O 0.9482 O…

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Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

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Q: Let C be the curve y = 12 11 10 9 8 6 5 4 15 2 4 1 + for 0.6 ≤ x ≤ 3.7. 3x 25 Find the arc length of…

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Q: H.W: show that the equations are homogeneous and solve: 1. (x + y)dy + (x−y)dx=0

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Q: he time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  take derivative

Q: Three men A, B, and C can do a piece of work in hours working together. Working alone. A can do the…

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Q: Use the Midpoint Rule with n = 4 to approximate the integral. 11 K √x + 5dx = [Please enter your…

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Q: Let C be the curve y = + for 0.6 3.7. x3 1 3x 4 12 11 10 9 8 7 6 5 1.5 25 3 Find the arc length of C…

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Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

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Q: Annual U.S. factory sales of consumer electronics goods to dealers from 1990 through 2001 can be…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is take derivative

Q: Q3) Find the volume of the solid generated by revolving region bounded by the curve (y=e* ) & the…

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: Find the Riemann sum using R4 over the interval [0, π]. y = x² sin x

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Q: Given y 2x² find 4.1 The interval(s) on which / increases or decreases. 4.2 The local maxima and…

A: We need to explain function.

Q: Sketch the figures and show step by step solutions. Find the area between the curve y = x3 – 6x2 +…

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Q: Let a = (-4, 5, -2) and 6=(-1,0, 4). Find à x b.

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Q: For problems 1 - 16 use the method disks/rings to determine the volume of the sol the region bounded…

A: Here all question are not connected  According to bartley guidelines I am bound to solve only first…