08/16/21
pleaseeeeeeeeeeeeeeeee help
Points P, Q, R, and S are collinear. Point Q is between P and R, R is between Q and S, and PQ≅RS. If PS=21 and PR=18, what is the value of QR?
08/16/21
Find the differential of the function w=xsin(2yz^4).
Find the differential of the function w=xsin(2yz^4).dw= ? dx + ? dy +? dz
08/16/21
Find equations of the tangent plane and normal line to the surface x=3y^2+3z^2−274 at the point (-4, -9, -3).
Find equations of the tangent plane and normal line to the surface x=3y^2+3z^2−274 at the point (-4, -9, -3).Tangent Plane: (make the coefficient of x equal to 1). ? =0Normal line: ⟨−4, ? , ? ⟩...
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08/16/21
Find the linearization of the function f(x,y)=√(129−3x^2−2y^2) at the point (5, -5).
Find the linearization of the function f(x,y)=√(129−3x^2−2y^2) at the point (5, -5).L(x,y)= ?Use the linear approximation to estimate the value of f(4.9,−4.9) = ?
08/15/21
Check that the point (1,−1,1) lies on the given surface. Then, viewing the surface as a level surface for a function f(x,y,z), find a vector normal to the surface
Check that the point lies on the given surface. Then, viewing the surface as a level surface for a function , find a vector normal to the surface 2x^2−2y^2+2z^2=2vector normal = ?
08/15/21
calcuating time and distance
Shannon is a lifeguard and spots a drowning child 30 meters along the shore and 40 meters from the shore to the child. Shannon runs along the shore for a while and then jumps into the water and...
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Consider the planes given by the equations
Consider the planes given by the equations −(x+2y+4z)=1, 4x+2y+z=7.(a) Find a vector v-> parallel to the line of intersection of the planes.v-> =...
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Suppose a line is given by the system of equations
Suppose a line is given by the system of equationsx=4−5t,y=4t−5,z=−3−4t.Then the vector and point that were used to define this line werev- =p =
08/15/21
Find an equation of a rational function f that satisfies the given conditions. :
vertical asymptotes: x = −5, x = 2horizontal asymptote y = -2x-intercept: −6, 4 ; f(-2) = -4
Finding area of a region on graph using integration.
Consider the following.y = x2y = 12 − x(a) Find the area of the region by integrating with respect to x.(b) Find the area of the region by integrating with respect to y.Any help will be very...
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Vectors and the Geometry of Space
Find an equation of the plane consisting of all points that are equidistant from (3, -3, 5) and (3, 0, 1).
08/13/21
MATH HELP, Power Series Solution for differential equation
Find the general solution of the equation y' = x3 - 2xy with power series
Vectors and the Geometry of Space
Find an equation of the plane through the point (4, 0, 1) and parallel to the plane −1x−1y+3z=5.x + y + z =
Partial Derivatives
Find the point(s) on the surface z2=xy+1 which are closest to the point (7, 11, 0).List points as a comma-separated list, (e.g., (1,1,-1), (2, 0, -1), (2,0, 3))
Partial Derivatives
Find the partial derivatives indicated Assume the variables are restricted to a domain on which the function is defined. z=x7+5y+xyzx= zy=
08/11/21
Help With Washer/Shell Method
If possible may I have a visual of the graphs?1. Use the washer method to set up the integral computing the volume of the solid generated by revolving the region bounded by y = x^2 − 20 and y = −6x...
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08/10/21
Calculus question help please
The tank shown is full of water.(a) Find the work required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3 as the weight density of water. Assume that a = 1.)(b) Suppose...
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MATH HELP, infinite series
serie de n=1 a infinity}(\sqrt{n de)/(n+4)∑sqrt(n)/(n+4)from n = 1 to infinity
Vectors and the Geometry of Space
Find the distance of the point (4,6,−4) from the line r(t)=⟨−1+3t,1+3t,5−3t⟩.Answer:
Vectors and the Geometry of Space
Find the distance from the point (-1, -4, 0) to the plane −3x −y + 3z =3
08/08/21
Find the volume of the solid between the planes
Find the volume of the solid above the region D={(x,y): 0<=x<= √63, <=y<= 63-x²} and between the planes z=63-y, z=0.
08/07/21
Calculus Questions Related to Power Series
Rewrite the power series so that its lower index of summation is n = 2. Which of the following functions equals the power series ? f(x) = with an interval of convergence, -4 < x < 4. Find...
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