10/01/21

Derivatives of Inverse Functions

f(x) = 3sin(x)arcsin(x)f'(x) =

10/01/21

Is the given statement true or false? Justify your answer. If f''(c) =0, then (c, f(c)) is an inflection point of the curve y=f'(x)

If the given statement true or false? Justify your answer. If f''(c) =0, then (c, f(c)) is an inflection point of the curve y=f'(x)

The line 2y-x=12 intersects the circle x2+y2-10x-12y+36=0 at the point A and B. The perpendicular bisector of AB intersects the circle at the point P and Q. What is the exact coordinates of P and Q?

The line 2y-x=12 intersects the circle x2+y2-10x-12y+36=0 at the point A and B. The perpendicular bisector of AB intersects the circle at the point P and Q. What is the exact coordinates of P and... more

09/30/21

A Kite 65 feet above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle between the string and the ground decreasing when 100 feet of string is out?

A Kite 65 feet above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle between the string and the ground decreasing when 100 feet of string is out?

09/30/21

Calculus parametric

Find parametric equations x,y,x for the line that is tangent to the given curve at the given parameter valuer(t)=(3 sin t) i+(t^4−3 cos t) j+(4 e^2t) k​, t = 0                            

a particle moving calculus question

A particle is moving along the curve y=5(sqrt 5x-1) . As the particle passes through the point (3,20), , its x coordinate increases at a rate of 2 units per second. Find the rate of change of the... more

09/28/21

Experts Please help. Thank you.

A particle is moving along the curve whose equation is xy^3/1+y^2 = 8/5. Assume that the x-coordinate is increasing at the rate of 6 units/s when the particle is at the point (1,2). At what rate is... more

Solve the differential equation y'''+y'=secx

Solve:y'''+y'=secx[D1/W]·∫y1(x)f(x)+[D2/W]·∫y2(x)f(x)+[D3/W]·∫y3(x)f(x)

09/24/21

Find unit vector, normal vector, binomial vector, and curvature at the given point

Suppose r(t) = (√2t, e^t, e^-t).(a) Find the unit tangent vector. T(t), at (0,1,1).(b) Find the principal unit normal vector, N(t), at (0.1.1).(c) Find the binormal vector. B(t). at (0.1.1).(d)... more

Multivariable calculus

Consider that the system of three equations xy2+zu+v2=3x3z+2y-uv=2xu+yv-xyz=1defines implicitly x y and z as a function of u and vFind ∂y/∂v and ∂z/∂u at values x=y=z=u=v=1

09/21/21

Asymptotes. Find all the asymptotes of the given function, and use limits to describe them. Show all your steps

f(x) = 6e^x - e^3x / e^3x - 7e^2x + 12e^x

09/18/21

Conic Section Circle

The circle is passing through the two points (- 3, 0) and (7,4) and is centered at a point on the y-axis

Differential equation

Solve the first order linear differential equationdy/dx + 2y = x-7. y(0)=0

How to find psi

Find solution in form psi(x,y) = 0(5xye^(xy) - 6y + 5e^(xy) - 7sin(x)cox(y)) dy/dx + (-10x + 5y^2e^(xy) - 7sin(y)cos(x))Could someone explain the process to finding the solution? Thank you.

Find the length of the shortest curve between (1, 0, 0) and (1, 1, 1) on the surface x2 + y2 = z2 + 1. Be sure to explain why your answer is correct.

Find the length of the shortest curve between (1, 0, 0) and (1, 1, 1) on the surface x2 + y2 = z2 + 1. Be sure to explain why your answer is correct.

Consider the dashed line through the (0,0,0) and (0,1,1), and the dotted line through (0, 1, 0) and (1, 0, 0) as in the figure.

Consider the dashed line through the (0,0,0) and (0,1,1), and the dotted line through (0, 1, 0) and (1, 0, 0) as in the figure.(a) Let f(t) be the point that moves along the dashed line, with... more

09/12/21

URGENT - TECHNICAL ISSUE - YOUR SITE IS DOWN

I am trying to contract my tutor and YOUR SITE IS DOWN. Not allowing me to message Ben K.

exact vs non-exact D.E.

Classify the following equation as exact or not exact. (9x^2 -18xy - 2x - 5y^2 +1) dy/dx + (-24x^2 + 18xy - 7y^2 + 4y + 4) = 0From what i understand you take the partial m with respect to y for the... more

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