Find a plane through the points (-2,6,6), (4,4,5), (2,-4,1) Calculator

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Q: Two circles have the same center. The inner circle has radius r which is increasing at a rate of 3…

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Q: Show that the substitution v= ax + by + c transforms the differential equation A first-order…

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Q: Concentration of a Drug in the Bloodstream The concentration (in milligrams per milliliter) of a…

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Q: Evaluate the double integral over the given region R. Syx cos x da dA R R: -1sys1, 0≤x≤

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Q: Assume that it costs a company approximately C(x) = 800,000 + 360x + 0.0005x2 dollars to manufacture…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Consider a college student who works from 7 P.M. to 11 P.M. assembling mechanical components. The…

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Q: Let f be a function with f(x) > 0 for all x. Let g = 1/f. (a) If f is increasing in an interval…

A: The given data is:  Let f be a function with f(x)>0 for all x. Let g=1f

Q: Find equations of the tangent lines to the curve y = at the point (1, 0) int (e, ²) at the point y =…

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Q: you have to round it off and it will become 2.21

A: The final answer  A = 2.21875 sq units

Q: Find the cross product a x b. a =j + 6k, b = 5i - j + 4k Verify that it is orthogonal to both a and…

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Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution,…

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Q: 3√/t-1 S (³√t=¹) dt = 3 − 2t + c - C

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Q: for the following question above help me solve f

A: Given : for x<-1f'(x) = ddx(-x+1)=-1for x>-1f'(x)=ddx(-x2+3)=-2x

Q: An explosion sends two shards of metal to the east and to the north. The northward shard travels at…

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Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f, g, and g'…

A: Derivative

Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

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Q: y=2x R y=x²

A: To write an iterated integral for ∫R∫dA over the region R described  in the figure below. (a)…

Q: The functions describes the distances from the origin at time t of an object in rectilinear motion.…

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

Q: 2. When a particle is located a distance x meter from the origin, a force of f(x) = 3x² + 4x…

A: When a particle is located at distance x meter from the origin, a force of  fx=3x2+4x newtons acts…

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Q: Find the intervals on which the function is increasing or decreasing. (X) =283 - 6x2-48×+ 12 List…

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Q: A company buys a machine for $275,000 that depreciates at a rate of 30% per year. Find a formula for…

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Q: Consider Line 1 with the equation: y= (1)/(2)x+9 Give the equation of the line parallel to Line 1…

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Q: 0 8x dx x4 -8x² + 32 X

A: To evaluate the following integral. ∫028x dxx4-8x2+32

Q: The region bounded by x=y and x = √y is rotated about the line y = -2. Which of the following would…

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Q: A particle moves along a coordinate axis. Its position at time t (sec) is s(t) = f f(x) dx cm, 0…

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Q: he area of the region shared by the cardioids r= 12(1 + cos 0) and r= 12(1- cos 0).

A: We have to find the area of the given cardioids.

Q: Q3 Find the exact limit. lim x48 sinh(22) ex

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Q: Let F(t) = Find a parametric equation of the line tangent to r(t) at the point (-49, 648,- 4.394)…

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Q: Evaluate the Limits: a) limt->-1(t2+3t+2)/(t2-t-2) b) limx->9 (9x-x2)/(3-x1/2) c) limx->-inf…

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Q: Assume the functions below are continuous with domain all real numbers. (a) If f'(a) = 0, then x = a…

A: Given that:- The function is continuous with domain all real numbers

Q: Find the volume of the region bounded above by the paraboloid z and below by the square R-4≤x≤4…

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Q: Let f(x) = x² - 5x - 6. Find the open intervals on which f is concave up (down). Then determine the…

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Q: Find fo go h. f(x) X g(x) = x³, h(x) = x + 6

A: Given :

Q: Show that the lines L₁ : x = 3-t, y = 2t, z = 2+t and L₂: x = 1 + 4t, y = 3-8t, z = 5 - 4t are…

A: Solution is given below:

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-6, 0,…

A: Concept if a line passing through ( a, b , c ) whose direction ratio are ( l, m, n ) then equation…

Q: The number of different species in Artemis (fictional) is modeled by f(t) = 1000t/((t+3)(t+5)) in…

A: As per question we need to find the extreme points of the function f(t)=1000tt+3t+5, on interval 0≤…

Q: about the y-axis. 1 1 =²-mx, 1 ≤ x ≤ 2, Find the surface area obtained by rotating the curve y =

A: The equation of curve is given by y = 14x2-12lnx, 1≤x≤2 To determine: The area obtained by rotating…

Q: The functions describes the distances from the origin at time t of an object in rectilinear motion.…

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Q: A flagpole is 40 feet high and stands on level ground. A flag is attached to a 120 foot rope passing…

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Q: Differentiate f and find the domain of f. (Enter the domain in interval notation.) f(x) = = domain X…

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: 6x2+xy+6y2=13d dx(xn)=nxn-1d dx(constant)=0

Q: 1. Let v (4, -2,-4) be a vector in R³. (a) Find a unit vector in the direction of v. (b) Find a…

A: Given vector v→ = 4i -2j -4k

Q: 1. Find the length of the arc of the curve 3 (2 x − 1)² from x = 0 to x = 8 - y = 32/2 (2x

A: Given :y=2322x-132

Q: Determine the slope of tht line through the given points. (-7,-1) and (-5,9)

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Q: After walking through the fifth gate, your computer informs you that more than half of the gates…

A: Given function f( t ) = 1a( 2t3 - 15t2 + 45 )

Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (5, 3), (1,8)

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Q: The region Rin the first quadrant is enclosed by the lines x=0 and y=5 and the graph of y = x² + 1.…

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