08/01/21

Find the point at which the line ⟨0,4,−4⟩+𝑡⟨4,5,−3⟩ ⟨ 0 , 4 , − 4 ⟩ + t ⟨ 4 , 5 , − 3 ⟩ intersects the plane −𝑥+𝑦+𝑧=−10 − x + y + z = − 10 .

Find the point at which the line ⟨0,4,−4⟩+𝑡⟨4,5,−3⟩ ⟨ 0 , 4 , − 4 ⟩ + t ⟨ 4 , 5 , − 3 ⟩ intersects the plane −𝑥+𝑦+𝑧=−10 − x + y + z = − 10 .
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07/31/21

TI-84 Plus Question.
I am trying to do log on my TI-84 Plus, and it always equals 0 for any problem I do.How would I do the problem log3(x)=-2? (base of 3)Another one I had also was 4^(4x)=16^(x+1).Thanks!
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07/30/21

Calculus 3 Parametric
Find the surface area of the part of the plane z=6+2x+3y that lies inside the cylinder x^2+y^2=16
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07/30/21

(Falling ladder question); A ladder 25 ft long is leaning against a wall. The base of the ladder is pulled away from wall at rate of 2ft/sec.
A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second.(a) What is the velocity of the top of the ladder... more
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07/30/21

Find the domain and range for for following equations (a) -√(x^2+2x-3) (b)(x^2+x+1)/x
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07/30/21

Calculus Problems. Please help me
There was initially 100mg of radioactive material. After 6 hours, its mass decreased by 3% . If at any instance its disintegration is proportional to the quantity of material present, determine how... more
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07/30/21

Can you find the change?
Let y=2√x.Find the change in y, Δy when x=4 and Δx=0.4 4.0Incorrect  Find the differential dy when x=4 and dx=0.4
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07/30/21

Math question.. thank you.
Bill uses mirrors to augment the “laser experience” at a laser show. At one show he places three mirrors, A ,B, C,  in a right triangular form. If the distance between A  and B is 8 m more than the... more
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07/30/21

Algebra 2 plz help me dived

. Divide: (12𝑥3−11𝑥2+9𝑥+18)÷(4𝑥+3)
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07/29/21

Find the function required to solve the equation
What function would you take the derivative of to find the Maclaurin series of the function f(x)=4xex^2
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07/29/21

PLEASE HELP ME!!!!!!!!!!
An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made, then the unit... more
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07/29/21

An integral that arises in the study of the Riemmann- zeta function....
The integral ∫10 ∫10 1 / ( 1- x2 y2 ) d x d y arises in the study of the Riemmann- zeta function.Use the transformation x = (sin u ) / ( cos v ) and y = (sin v ) / ( cos u ) to evaluate the... more
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07/29/21

x=sint y=csct 0<t<pi/2
given the parametric equations eliminate the parameter to find cartesian equation of the curvesketch the curve and indicate orientation
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07/29/21

Explain why the 3 point A(2,3,-1), B(8,5,-5) and C(-1,2,1) do not determine a plane.
Explain why the 3 point A(2,3,-1), B(8,5,-5) and C(-1,2,1) do not determine a plane.Explain why the line (x,y,z) = (4,9,-3) + t(1,-4,2), t{any real number} and the point P(8,-7,5) do not determine... more
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07/29/21

Find a unit vector that is orthogonal to both →u= ⟨6,−3,−8⟩ and v= ⟨−7,10,0⟩.
Note: This question is very sensitive to rounding errors. Enter an exact answer only.
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07/28/21

hw 10 question 9
Find the volume generated by revolving about the x-axis the regions bounded by the following graphs.y = exx = -2x = 3
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07/28/21

Determine the Cartesian equation of the plane that passes through the points (1, 4, 5) and (3, 2, 1) and is parallel to the plane 2x – y + z + 1 = 0.
Determine the Cartesian equation of the plane that passes through the points (1, 4, 5) and (3, 2, 1) and is parallel to the plane 2x – y + z + 1 = 0.
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07/28/21

calculus green theorem
Use Green's Theorem to evaluate ∫CF⋅nds, where F=⟨√x+5y,4x+5y⟩ and C is the boundary of the region enclosed by y=2x−x^2 and the x-axis (oriented positively).
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07/28/21

Calculus Green theorem

If C is a circle of radius 7 centered at the origin, then evaluate ∮C(4y−^esin(x))dx+(11x−sin(y^3+y))dy.
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07/27/21

Calculus 3 Line integral
Consider the vector field F=<3x+4y,4x+6y> Evaluate ∫CF⋅dr along the curve C: r(t)=t^2i+t^3j,  0≤t≤2
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07/27/21

Calculus 2 Line integrals
Consider the vector field F=<x^3*y^4,x^4*y^3> Use your answer to evaluate ∫CF⋅dr along the curve C: r(t)=6cos(t)i+6sin(t)j, 0≤t≤π4
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07/27/21

What are the first 4 terms
Find the first three non-zero terms of the Maclaurin series for f(x)=ln(1−x5)
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07/27/21

Calculus 3 Line integral
Find ∫Cx2z ds, where C is the line segment from (0,-5,5) to (2,-11,1)
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07/26/21

Calculus line integrals
Evaluate ∫CF⋅dr where F=<1x−y,x+2y>, and C is the circle of radius 4 centered at the origin parametrized in the counterclockwise direction.
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07/26/21

Innocent looking , but not really

Solve y [ x3 y3 + 2x2 -y ] d x + x3 [x y3 -2 ] d y = 0 , and y(1) =1
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