Limit of trig functions

What is the limit lim x ->0 sin x^2 /(1-cos x)

07/22/20

Find an equation for the ellipse that has its center at the origin and satisfies the given conditions. eccentricity 1 2 , vertices on the x-axis, passing through (1, 3)

Find an equation for the ellipse that has its center at the origin and satisfies the given conditions. eccentricity 1 2 ,    vertices on the x-axis,    passing through (1, 3)

07/22/20

Find an equation for the ellipse that has its center at the origin and satisfies the given conditions. eccentricity 3 7 , vertices V(0, ±7)

Find an equation for the ellipse that has its center at the origin and satisfies the given conditions. eccentricity 3/7     vertices V(0, ±7)

07/22/20

Find an equation for the ellipse that has its center at the origin and satisfies the given conditions. vertices V(0, ±6), passing through (4, 3)

Find an equation for the ellipse that has its center at the origin and satisfies the given conditions.vertices V(0, ±6),    passing through (4, 3)

07/22/20

Find an equation for the ellipse that has its center at the origin and satisfies the given conditions. Horizontal major axis of length 8, minor axis of length 3

Find an equation for the ellipse that has its center at the origin and satisfies the given conditions.Horizontal major axis of length 8, minor axis of length 3

07/22/20

Find the dimensions of the resulting box that has the largest volume.

An open box is to be made out of a 12-inch by 18-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting... more

Constrained optimization problem.

Given constants a > 0, b > 0, c > 0, find the minimum of J = x + y + z subject to (a/x) + (b/y) + (c/z) = 1.

07/20/20

The length of a rectangle is 9 feet longer than it is wide. If each side is increased 9 feet, then the area is multiplied by 2. What was the size of the original rectangle?

The length of a rectangle is 9 feet longer than it is wide. If each side is increased 9 feet, then the area is multiplied by 2. What was the size of the original rectangle?

Find the slope of the curve at the given point y(3xy-x^2)=16 at (2,2)

Please help me answer my h.w, thank you.

07/20/20

Find an equation for the parabola that has a vertical axis and passes through the given points. P(2, 13), Q(−2, −11), R(1, 10)

Find an equation for the parabola that has a vertical axis and passes through the given points.P(2, 13),    Q(−2, −11),    R(1, 10)

07/20/20

Find an equation for the set of points in an xy-plane that are equidistant from the point P and the line l. P(−9, 2); l: x = −3

Find an equation for the set of points in an xy-plane that are equidistant from the point P and the line l.P(−9, 2);    l: x = −3

07/19/20

Trigonometry — Finding the area of a polygon inscribed in a circle

A regular nonagon is inscribed in a circle with a radius spanning 5 cm. Find the perimeter of P and area A of the nonagon.

07/19/20

Find a function

Find a function f(x) such that f'(x)=-9e^x-8x and f(0)=-2f(x)=

07/19/20

Let I = I3 be the identity matrix of order 3, and let f(x) = |A − xI|.

Let I = I3 be the identity matrix of order 3, and let f(x) = |A − xI|. (In the study of matrices, f(x) is the characteristic polynomial of A, and the zeros of f(x) are the characteristic values... more

07/18/20

Solving for x with ratios and shapes

Q: Consider an experiment in which a marble is tossed into a box whose base is shown in the figure. The probability that the marble will come to rest in the shaded portion of the box is equal to... more

Given that sin(θ)=11/12, and θ is in Quadrant II, what is cos(2θ)?

give answer as a fraction

07/18/20

If cos(θ)=24/25, and θ is in Quadrant I, then what is cos(θ/2)?

give answer as fraction

07/16/20

sketch the graph of function that meets the stated requirements.

1) Sketch the graph of a function that meets the stated requirements. a) 3 local maxima, 2 local minimum, and no absolute minimum b) two local minima , one local maximum , and five critical numbers

Finite Math: Probability

A container has nine marbles numbered 1, 2, 3, 4, 5, 6, 7, 8, 9. Two different marbles are selected at random from this container.(a) What is the probability that one of the marbles selected was... more

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