07/01/23

Find the critical numbers

Find the critical numbers of the function f(x)=-6x^5+15x^4+20x^3-8 and classify them using a graphx= _is a x= _is a x=_ is a

06/28/23

write the equation of the line in point slope form

Write the equation of the line in Point-Slope Form given the information below.Slope =−6/5Y-Intercept =2

06/19/23

Calculus eigenvalue

Let A = [3 -3] For A to have 0 as an eigenvalue, k must be = [1, k]

06/13/23

Volume of a solid found by rotating the region around the y-axis

Let R be the region in the first quadrant enclosed by the graphs of y=4x^2, x=1 and y=0. FInd the volume of the solid obtained by rotating the region R about the y-axis. Please express your final... more

06/08/23

Algebraic tests

Use the algebraic tests to check for symmetry with respect to both axes and the origin. (Select all that apply.)x2 − y = 9x-axis symmetryy-axis symmetryorigin symmetryno symmetry

Is differential equation x^2 * y’ = x* y + y^2 a) linear b) separable c) Exact

Is differential equation x^2 * y’ = x* y + y^2a) linearb) separablec) Exact

algebra help needed

Consider the parabola given by the function F(x)=4x^2-6x-1 find the following and be sure to write all answers as ordered pairs The vertex is (3/4,-13/4) the vertical intercept is (0,-1) the... more

algebra help needed

Find the x- and y-intercepts for the following quadratic function F(X)=-3x^2-3x+5 The y intercept is at (0,5). The x intercepts are at: Round your answers to three decimal places give the LARGER... more

05/25/23

Pythagorean Theorem in 3d and 4d

Given right tetrahedron A(0,0,0), B(x,0,0), C(0,y,0), D(0,0,z), what is area of triangle BCD? note: BCD is the only 2d side that is not a right triangle. A tetrahedron has four triangular... more

05/16/23

What is an interval, |S − S4| ≤ |R4| for which the actual sum exists?

The series:  has a partial sum  when x = 1. What is an interval, |S − S4| ≤ |R4| for which the actual sum exists? Provide an exact answer and justify your conclusion.

05/11/23

Given a trig value, find the value of another trigonometric value

Given tan(theta )=6, find the value of tan(theta +(pi )/(4))

05/09/23

given cosx=1/4, cscx<0 find cos2x then find tanx/2

05/08/23

Find the exact volume of the solid

Find the exact volume of the solid obtained by revolving the region bounded by , ,  and  about the x-axis.

05/07/23

Given functions

f(x)=-x2+4 and g(x)=-x3+4x for -2<=x<=1. a.    Make a graph of the functions.Compute the centroid. b.    Compute M.c.    Compute My.d.    Compute xc (the x centroid) e.    Compute... more

Word problem, algebra

At noon, the hot air balloon headed north at 8 miles per hour. Three hours later, the glider headed south from the same location at 16 miles per hour. At what time will the hot air balloon be 168... more

Distance rate, time algebra

The distance traveled by a car traveling at a constant speed is directly proportional to the time spent traveling. If the car went 910 miles in 13 hours, how far will it go in 14 hours?

05/05/23

Consider the following function and closed interval. f(x) = (x − 7)(x − 8)(x − 9),    [7, 9]

Consider the following function and closed interval.f(x) = (x − 7)(x − 8)(x − 9),    [7, 9]If f is differentiable on the open interval (7, 9), find f '(x). (If it is not differentiable on the open... more

05/04/23

bridge arch, ellipse question

A certain bridge arch is in the shape of half an ellipse 142 feet wide and 29.6 feet high. At what horizontal distance from the center of the arch is the height equal to 14.2 feet?

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