03/10/22

Factor equation

How can I factor this equation?x3+7x2-28x-160
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12/10/21

A car starts moving at time t=0 and goes faster and faster. Its velocity is shown in the following table.
t (seconds) 0 3 6 9 12 Velocity (ft/sec) 0 8 20 39 70 A. Estimate how far the car traveled during the first 12 seconds using the left-hand sums with 4 subdivisions. Answer: ____ftB. Now... more
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11/28/21

Evaluate the definite integral
∫(5x-4e^x)dx where B > -2∫(a=-2, b=B)
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11/25/21

What is the standard score for an exam score of 68​?
The scores on a psychology exam were normally distributed with a mean of 67 and a standard deviation of 5.What is the standard score for an exam score of 68​?The standard score is .​(Round to the... more
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11/22/21

Among American women aged 20-29 years, 10% are less than 60.8 inches tall,

80% are between 60.8 inches and 67.6 inches tall, and 10% are more than 67.6 inches tall. Assuming that the height distribution can adequately be approximated by a normal curve, find the mean and... more
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11/18/21

Write an equation of the line that passes through point P and is parallel to the line with the given equation p(-1,3) y=4x-2
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11/18/21

Fundamental agebra
Two squares have sides m + n and m – n. Write an expression representing the sum of the areas of the two squares.
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11/18/21

Can anyone please help me? Evaluate the definite integral. (Assume a > 0.)

Here is the problem: evaluate the integral of x^3*sqrt(a^2-x^4), from 0 to a^1/2. Where do I even start?
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11/18/21

Openstax: Section 4.10 Antiderivatives (problem number 509)
A car is being driven at a rate of 40 mph when the brakes are applied. The car decelerates at a constant rate of 10 ft/sec2. How long before the car stops?
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11/18/21

Sketch the graph of derivative f ′(x), clearly showing where f ′(x) is positive and negative, and giving intervals where f ′(x) is increasing or decreasing.
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11/17/21

The graph of derivative f ′(x) of some function f (x) is given below.
(a) Identify the subinterval(s) of (-4,3) where f (x) has a constant slope. Explain why?(b) Identify the subinterval(s) of (-4,3) where f (x) is decreasing. Explain why?(c) Identify the... more
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11/17/21

Find the dimensions of the box that minimize cost.
You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs $5/ft2 and the material for the sides costs $2/ft2. You need a box with volume 4 ft2.... more
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11/16/21

Dan bought 3 CDs that were each the same price. Including sales tax, he paid a total of $42.60. Each CD had a tax of $0.80. What was the price of each CD before tax?

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11/16/21

Consider the function f ( x ) = 8/x^2 − 2/x^6. Let F ( x ) be the antiderivative of f ( x ) with F ( 1 ) = 0. F(x) equals......
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11/16/21

Evaluate the integral.
2 f(x) dx −3  where f(x) =  3 if  −3 ≤ x ≤ 0 6 − x2     if  0 < x ≤ 2
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11/16/21

Proof Maths Help
For the following claimed logical equivalence, determine whether it is true or false. Give a proof if it is true, and give a counterexample if it is false. ∀xP(x)∨∀xQ(x)≡∀x(P(x)∨Q(x))
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11/15/21

Areas between curves
Find the area under y=3sin(x) and above 3cos(x) for pi/2 < x < 3pi/2
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11/15/21

Express the limit as a definite integral on the given interval.
Link to question equation: https://ibb.co/jJPZTxy
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11/15/21

The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral.
Link to graph: https://ibb.co/zJ81nn1find: (a)    10 g(x) dx 0  (b)    30 g(x) dx 10 (c)    35 g(x) dx 0 
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11/15/21

If sin a = 4/5, pi/2<a<pi; cos b = 2/3, 0<b<pi/2 then what is cos (a+b)?
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11/14/21

Approximate the definite integral by dividing the interval into 4 subintervals and using the left endpoint of each subinterval.
a. 3432b. 2766c.2765d. 2152e. 2144f. none of the aboveReally confused about this question. Thank you for the help in advance.
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11/14/21

How is this equal to one?
√(x+Sx)-√x limSx→0 sin ( 2 ) = 1 (How is this equal to one?) √(x+Sx)-√x ... more
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11/14/21

Brief Calculus.

Solve the given initial value problem for y = f (x).dy/dx = 12x2 + 3x-5, where y=15 when x = 2
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11/13/21

Linear word problem
A computer costs $1250 per unit and hard drives cost $104 per unit. The revenue from x computers and y hard drives can be represented by what expression?
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11/13/21

Find f(x) based on the following Riemann sum
The following sum√(4-(2/n)2)*(2/n) + √(4-(4/n)2)*(2/n) + ... + √(4-(2n/n)2)*(2/n)is a right Riemann sum with n subintervals of equal length for the definite integral 2 ∫ f(x) dx0where f(x) = ???
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