Circular Trigonometry Question

Find an exact value by using an appropriate addition or subtraction formula.Find the exact value for cos 15°Which answer is itA:√6 - √2 /4B: √6 + √2 /4C: -√2 - √6 /4D: √2 - √6 /4

Which of the following equations describe a tangent plane to the curve z=1/xy, at the point (x,y)=(1,2).

Which of the following equations describe a tangent plane to the curve z=1/ xy, at the point (x,y)=(1,2).a)z - 1/2 = -1/2(x-1) - 1/4(y-2)b)z - 1/2 = 1/2(x-1) + 1/4(y-2)c) z - 1/2 = 1/4(x-1) +... more

Which of the following two expressions are equivalent alternatives to the definition of a derivative?

Which of the following two expressions are equivalent alternatives to the definition of a derivative?A: lim j -> 0 f(x) - f(x-j) / j B: lim j -> 0 f(x - j/2) - f(x + j/2)/ j A only B only... more

11/19/20

Optimization with solids and distance. Finding closest point

Find the point on the line 3x+7y−3=0 which is closest to the point (−5,−4)

Find the Maclaurin series

Find  in the Maclaurin series ∑ n=0 ∞ an for ƒ(x) = 2x6 cos (x9) and find the interval on which the expansion is valid.

11/18/20

Write an equation of a parabola intercept form.

X intercept of 12 and -4 and passes through (16,50)

11/18/20

Function 2: Write a rational function that has at least two vertical asymptotes, no holes and no horizontal asymptote.

Write the function in factored form and then write it in standard form. List the vertical asymptotes.  Describe the end behavior of the function.

11/18/20

Function concave

Answer the following questions for the function ` f(x) = x \sqrt(x^2 + 36)`defined on the interval `-6 le x le 6 `.` f(x) ` is concave down on the interval x = __________________  to x =... more

Please help check my answer? Which of the following series converges conditionally?

Which of the following series converges conditionally? Diverges Converges Diverges Converges Conditionally? I chose this

Evaluating Logarithmic Equations

How might I evaluate the logarithmic equation of:25 = log5(3-x) - 2 log5(x)Any help would be greatly appreciated!

Linear Algebra - Linear Combination of Vectors

Consider the vectors u = (1, 2,-1) and w = (6, 4, 2) in R3, show that w = (9, 2, 7) isa linear combination of u and v and that w0 = (4, -1, 8) is not a linear combinationof u and v.

11/15/20

The top and bottom margins of a poster are 2 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 386 square centimeters

Find the dimensions of the poster with the smallest area.Width =  Height = Please help!! Thank you!

Use a double integral to find the area enclosed by x = y − y^2 and x + y = 0.

use double integral to solve this calculus based problem.define the region and set the limits.

Solve the triangles

Two sides and an angle are given below. Determine whether the given information results in one​ triangle, two​ triangles, or no triangle at all. Solve any​ triangle(s) that results. a=8, b=3,... more

11/14/20

Find the coordinates of R if you know two vertices of the isosceles triangle having coordinates as P(2,3,4) and Q (4,5,6) and distance of two the vertices PR and QR is 5

Find the coordinates of R if you know two vertices of the isosceles triangle having coordinates as P(2,3,4) and Q (4,5,6) and distance of two the vertices PR and QR is 5. Find out the coordiantes of R more

11/14/20

Given 10 numbers a1, a2, . . . , a10, from the set S natural numbers S = {1, 2, 3, . . . , 100} . Prove that there exist two (or more) subsets of the 10 numbers whose elements sum to the same value.

The answer needs to be in terms of the pigeonhole principle and it has to be a generalized answer.

11/13/20

Maximize Rectangle area with y=e^-x/6

A rectangle has one corner at the origin and the other on the curve y=e−x/6. Find the dimensions that maximize the rectangles area. Assume x is positiveWidth x=Height y=

11/13/20

Find n and this volume, both in exact form.

Consider the trapezoidal region bounded by the graphs of x = 0, x = 1, y = 0, and y = x + n for a certain positive real number n. The volume obtained by revolving this region about the x-axis is... more

Statistics and Probability

A box contains ten numbered balls – one ball with the number 1, two balls with the number 2, three balls with the number 3 and four balls with the number 4. You will randomly select two balls from... more

11/12/20

Which one or ones of the following integrals produces the area that lies inside the cardioid r = 4 + 4 cos θ and

Which one or ones of the following integrals produces the area that lies inside the cardioid r = 4 + 4 cos θ and outside the circle r = 6? (5 points) I only II only II and III only I... more

11/12/20

Two trucks to Atlanta

two trucks bound for atlanta both depart from Philadelphia at the same time and travel along the same route. the first truck travels 12 miles per hour faster than the second truck and arrives 4... more

Can someone help me work through this probability problem?? please and thank you

Can someone walk me through how to solve this problem? I keep getting it incorrect and I don't understand what I'm doing wrong (please show work)."The time (in minutes) until the next bus departs a... more

Find all points on the curve x^4+x^2*y^2+y^3=5 where the tangent line is horizontal.

I found dy/dx, but stuck on what to do next. Several of my peers are also stuck on this!

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