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Q: find lim x-> 0, cos (12x)-1 / 3x

A: Given, limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is constan...

Q: If f(x) = 2x + 2x – 7, find the equation of the line tangent at z = - 2. -6 Preview

A: Explanation is given below..

Q: 6) Sketch the region whose area is given by the definite integral and use geometric formulas to eval...

A: The integral means the area between y=2x+4 line and x-axis, for 0≤x≤10. Or we can say that the integ...

Q: Find the equation of the tangent line to the curve at the given point. y = 9x – 8/x, (1, 1) %3D

A: Given, Equation of the curve is y = 9x -8x and point = (1,1)

Q: Use the properties of integrals to evaluate integral 0 to 1 (4+3x2 ) dx

A: Given: I=∫014+3x2dx for evaluating given integral, first we separate terms then integrate it

Q: Find v × u if u × v = 3i + 2j - 7k.

A: v x u = - (u x v)

Q: (a) Find the length of the projection of w onto v given that w = (-1,-3) and v = (2,2). (b) A 200 kg...

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Q: Setup cylindrical only

A: Given: Equation of cone z=x2+y2 Equation of sphere x2+y2+z2=2

Q: A point P(x, y) is shown on the unit circle corresponding to a real number t. Find the values of the...

A: Given: Point = 817,-1517 Hence, We have x=817, y=-1517

Q: Find the slope of the line passing through pair of points (-2, 4) and (-1, -1) or state that the slo...

A: Given:x1,y1=-2,4, x2,y2= -1,-1m=y2-y1x2-x1

Q: By about how much will ƒ(x, y, z) = ln√(x2 + y2 + z2) change if the point P(x, y, z) moves from P0(3...

A: The given function is, fx,y,z=lnx2+y2+z2 distance ds=0.1 unit in the direction of 3i+6j-2k

Q: Find the absolute maximum value of ƒ(x) = x2 ln (1/x) and say where it occurs.

A: Given function is fx=x2ln1x.

Q: De termine the volume Of the Lorgest rectangular box in the first OCtant wsth three faces M the Cour...

A: Given, The three faces of the rectangular box is in the coordinate planes with one vertex at the ori...

Q: .2 x +1 Find dy/dx given that y x2 – 1

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Q: Show that the points (−1, 0), (3, 0), (1, 2), and (1, −2) are vertices of a square.

A: Let us consider A(-1,0) , B(3,0), C(1,2) and D(1,-2) To verify ABCD as a square We need to verify if...

Q: Find the derivative of ƒ(x, y) = xey + cos (xy) at the point (2, 0) in the direction of v = 3i - 4j.

A: Given: f(x,y)=xey+cos(xy) at point (2,0) in the diection of v=3i−4j

Q: differentiate y = (cosx)cotx for cosx >0 and simplify

A: Consider the function y=cosxcotx Take logarithmic both sides lny=lncosxcotxlny=cotx⋅lncosx Different...

Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of th...

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Q: Setup cylindrical only

A: E is the region that lies inside the cylinder x2+y2=16 and between the planes z=-5 and z=4 Change th...

Q: Use the remainder theorem to find the remainder when f(x) is divided by the given x−k.f(x)=3x2-4x+4...

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Q: The position vector r describes the path of an object moving in space. (a) Find the velocity vector,...

A: Given Position Vector r(t) = ⟨t, −tan t, et⟩ Time t=0

Q: If g(t) = 3t + 2t, find all t for which g'(t) = 0. %3D t = Preview

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Q: Suppose that in a certain region of space the electric potential V is given by the function V (x, y,...

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Q: Use transformations of f(x) = 1/x or f(x) = 1/x2 to graph the rational function: g(x) =1/(x + 2)2

A: To determine: Graph of g(x)=1x+22 using graph of f(x)=1x or f(x)=1x2

Q: Compute the integral of f(x, y, z) = y2 over the region within the cylinder x 2 + y2 = 4, where 0 &l...

A: Given f(x,y,z)=y2

Q: Use the given zeros to write the complete factored form of f(x).f(x)=x3-6x2-7x+60; zeros: -3,4,5f(x...

A: If fx is any expression, and a, b, c are its zeros. Then, its factors are given by: x-a, x-b, x-c An...

Q: Divide the first polynomial by the second. State the quotient and remainder.2x4-5x3-4x2-19x+12 ...

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Q: A company produces chocolate Easter bunnies at a cost per unit of 0.50 + 0.005x dollars, where x is ...

A: Given that the cost of producing 1 unit= 0.50+0.005x So the cost of producing x units= x(0.50+0.005...

Q: Please help me solve (a) find the velocity function (b)find the acceleration function

A: Given position function, s(t) =e3t sin(7t)

Q: Evaluate the series or state that it diverges. 3k Σ k=2

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Q: Verify the identity: (1 - tan x)/sin x = csc x - sec x

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Q: find dy/dx using implicit differentiation for 2 sqrt 2x+y = tan-1(xy2)and simplify

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Q: 3 Evaluate 7x? dx 1 7 (Hint: f(x) = 72? and F(x) = a*) 3

A: The given integral is: ∫137x2dx Since, 7 is a constant, so take it out side. ∫137x2dx=7∫13x2dx The i...

Q: dy Find if dx V(2? + 7) 5. 3 dy %3D

A: Click to see the answer