01/30/23

Find the volume of the solid obtained by rotating the region enclosed by the graphs

If x≥0, find the volume of the solid obtained by rotating the region enclosed by the graphs about the line 𝑦=−8.Equation for the curves: 𝑦=2−𝑥, 𝑦=𝑥2, 𝑥=0
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01/28/23

You plan to make a simple, open topped box from a piece of sheet metal by cutting a square – of equal size – from each corner and folding up the sides as shown in the diagram:

if L=100mm and W=150mm calculate: a) The value of x which will give the maximum volume b) The maximum volume of the box c) Comment of the value obtained in part b.
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01/28/23

finding continuity using intervals.
Use interval notation to indicate where on the interval [0,𝜋2] the function 𝑓(𝑥)=(7𝑥+8)/cos2𝑥, is continuous.
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01/28/23

Finding continuity given a formula
The function 𝑓 is given by the formula: f(x)=2x/(x^2+6x) when x<0 and by the formula f(x)=cos(x)+a when x≥0. What value must be chosen for 𝑎a in order to make this function continuous at 𝑥=0 ?
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01/27/23

Solving f(x)+x^4-6x^3+16x^2-26x+15
How do I find that all zeros of this problem? What is the behavior? What is the function positive in?What is the function is negative in? Show ste bpy step .
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01/26/23

In 1990, the cost of tuition at a large Midwestern university was $101 per credit hour. In 2001, tuition had risen to $266 per credit hour.
Determine a linear function �(�) to represent the cost of tuition as a function of �, the number of years since 1990. �(�)=    In the year 2007, tuition will be $  per credit hour. In the... more
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01/26/23

Piecewise Function
Workbook Question:(Please show all your work when answering the question. It helps me out quite a bit. Thank you in advance. -Student)Let f(x) = {3x-2, if x<-13x^2+2x-5, if x>-1Find formulas... more
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01/26/23

Find the volume of the solid obtained by rotating the region bounded by y=x and y=√x about the line x=3
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01/25/23

Find the standard form of the equation of the hyperbola with the given characteristics. Vertices: (4, 0), (4, 6); asymptotes: y = 3 4 x, y = 6 − 3 4 x

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01/25/23

Calculus Please Help
Use the shell method to find the volume of the solid generated by revolving the region bounded by x = 2y−y2 and x = 0 about the​ x-axis.The volume of the solid is ____ cubic units
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01/24/23

Find the volume
1)Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines.y=sqrt(x)y=0x=3a)x-axisb)y-axisc)x=3d)=92)Find the volume of the... more
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01/24/23

What is the initial velocity needed for this high jumper to reach this height?
When an object on Earth is propelled upward from ground level with an initial velocity of v0 feet per second, then its height after t seconds is given by h(t) = -16t^2+v0t..A high jumper manages to... more
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01/23/23

Let 𝐵 be the solid whose base is the circle 𝑥2+𝑦2=64 and whose vertical cross sections perpendicular to the 𝑥-axis are equilateral triangles. Compute the volume of 𝐵.
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01/21/23

help my qustion

There are white, blue, and red boats in a marina. Five-sixths of the boats in the marina are white, 2/5 of the remaining boats are blue, and the rest are red. If there are 12 red boats, how many... more
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01/20/23

Confusing dimensions of a rectangle
The length of a rectangle is 4 cm greater than it’s width, and a diagonal of the rectangle is 4 cm greater than it’s length. Find the width of the rectangle.
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01/20/23

intergrals calculus

If 𝑓(𝑥)f(x) is a positive continuous function on ℝR, what does the function 𝐹(𝑥)=∫𝑥𝑎𝑓(𝑡)𝑑𝑡F(x)=∫axf(t)dt represent (for 𝑥>𝑎)x>a)?a. The slope of the tangent line to the graph of 𝑓f at 𝑥x.b.... more
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01/19/23

Write an equation of the line passing through the point (-1, 1) that is parallel to the line y = 2x - 3
Having trouble with writing these equations :(
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01/19/23

Please help me understand this!!
If a tank holds 4500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank... more
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01/17/23

In a triangle ABC, it is known that AB=10, AC=9, cos/BAC =3/8 Points P. Q on Qon sides AB, AC such that the area of AAPQ is half of the area of AABC. For all points P. possible value of PQ is
In a triangle ABC, it is known that AB=10, AC=9, cos/BAC =3/8 Points P. Q onQonsides AB, AC such that the area of AAPQ is half of the area of AABC. For allpoints P. O satisfying the above, the... more
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01/16/23

ABC is a triangle in which angle ABC = 90° p and q are integers such that the coordinates of A are (p, 10) the coordinates of B are (-1, -5) the coordinates of C are (8, q )

ABC is a triangle in which angle ABC = 90°p and q are integers such thatthe coordinates of A are (p, 10) the coordinates of B are (-1, -5) the coordinates of C are (8, q )Given that the gradient of... more
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01/16/23

Consider the following equation.
2x+4y=12Determine the missing coordinate in the ordered pair (−4,?) so that it will satisfy the given equation
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01/16/23

Consider the function f(x)=(x^2/4)+3. In this problem you will calculate ∫2 to 0 ((x^2/4)+3)dx by using the definition
Calculate Rn for f(x)=(x^2/4)+3 on the interval [0,2] and write your answer as a function of n without any summation signs.Rn = ?lim as n approaches infinity Rn = ?
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01/16/23

math help i dont know what I am doing

Evaluate the expression (1−4i)(−2−1i)(1-4i)(-2-1i) and write the result in the form a+bia+bi.The real number aa equals   The real number bb equals   
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01/14/23

The circle (x-3)^2 +(y-2)^2=20 has centre C, (i) write down the radius of the circle and the coordinates of C.

(ii) find the coordinates of the intersections of the circle with the x and y axis(iii) show that the points A(1,6) and B (7,4) lie on the circle. Find the coordinates of the midpoint of AB. Find... more
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01/13/23

The store is selling lemons at $0.65 each
The store is selling lemons at $0.65 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make four 9-inch lemon pies, each requiring half a cup of... more
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