03/14/24

A street light is on top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole at speed 4 ft/sec on a straight path. How fast is the tip of her shadow moving from 40 ft from the pole?
A street light is at the top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 40... more
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03/08/24

Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time.
if x increases at a constant rate of 1/6ft/s and y decreases at a constant rate of 1/8 ft/s, how fast is the size of the diagonal changing when x = 4 ft and y = 4 ft? (Round your answer to four... more
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03/06/24

Use implicit differentiation to find the slope of the tangent line to the curve
Use implicit differentiation to find the slope of the tangent line to the curvey/x-4y=x^3-5*y (numerator) x-4y (denominator)at the point (1,4/15).slope = 
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03/05/24

urgent!! help please
integral 0 to sqrt 3 of x^3/sqrt (4-x^2) dx please show all steps to evaluate this integral
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03/03/24

phil takes 3 hours to do a job. his assistant, john, takes 4.5 hours for the same job. if john helps phil do the job for 1 hour, how long will it take phil to complete the job by himself?
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03/02/24

Find the amount refinanced, Find their new monthly payment, How long will it take to pay off this new loan if they pay $1200 each month?
When Gustavo and Serrana bought their home, they had a 5.3% loan with monthly payments of $870.60 for 30 years. After making 78 monthly payments, they plan to refinance for an amount that includes... more
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03/02/24

A recent college graduate buys a new car by borrowing $16,000 at 8.4%, compounded monthly, for 4 years. She decides to pay $419 instead of the monthly payment required by the loan.
How much will she save by paying $419 per month rather than the required payment? (Round your answer to the nearest cent.)
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03/01/24

find the limit of the series
[ln((n^3)+4) - ln((8n^3)+11n)]find the limit as n approaches infinty
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02/29/24

Find the present value of an annuity due that pays $4000 at the beginning of each quarter for the next 9 years.

Find the present value of an annuity due that pays $4000 at the beginning of each quarter for the next 9 years. Assume that money is worth 6.6%, compounded quarterly. (Round your answer to the... more
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02/29/24

How much can be withdrawn from this fund at the beginning of each half-year for the next 4 years if the fund earns 7.7%, compounded semiannually?
Recent sales of some real estate and record profits make it possible for a manufacturer to set aside $1,000,000 in a fund to be used for modernization and remodeling. How much can be withdrawn from... more
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02/25/24

How much should the store charge for the policy?
A store offers a replacement warranty on an item with a replacement cost of $325 new.The probability that the item will break during the term of the policy is 17 %The company needs to make $2 on... more
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02/24/24

What is the size of payments that must be deposited at the beginning of each 6-month period in an account that pays 5.6%?

What is the size of payments that must be deposited at the beginning of each 6-month period in an account that pays 5.6%? compounded semiannually, so that the account will have a future value of... more
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02/23/24

Chris, who is 5 feet tall, is walking away from a street pole 20 feet high at a rate of 3 feet per second. His shadow is increasing as he walks farther away.
Chris, who is 5 feet tall, is walking away from a street pole 20 feet high at a rate of 3 feet per second. His shadow is increasing as he walks farther away.(a) Draw a picture to describe the... more
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01/19/24

Evaluate the integral
∫sinx*ecos(x)
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01/19/24

Evaluate the integral
∫(3x)/(x2+6)dxI used u-substitution for the first part, u=x2+6, du=2xdx, 1/2du=xdxI put the substitutions back into the equation and took out the constant from the integral, getting 3/2∫1/udu (3/2... more
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01/18/24

What are the intervals for which the function f(x) = 6cospix is decreasing?
A. [n, n+1], where n is any integer.B. [2n, 2n+1], where n is any integer.C. [n, 2n+1], where n is any integer.D. [n+1, n], where n is any integer.I don't understand how my teacher solved this... more
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01/15/24

Find and Classify Extrema of a Function
(No calculator allowed)Find and classify the relative extrema of the function g(x) = 4x3-3x2-6x+5. Remember to explain in the most concise and precise way possible.A) Relative maximum at x = -1;... more
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12/08/23

Exponential Quotient (solve without calculator)
Given y=(2-2x)/(e-2x), find dy/dx.
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11/30/23

Implicit derivative at a point (no calculator)
Given the equation of the curve 2x2-3xy+y = 10, find dy/dx at the point (0, 10).A. -30B. 0C. 30D. 40
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11/19/23

Solve the equation. (Find all solutions of the equation in the interval [0, 2𝜋). Enter your answers as a comma-separated list.)
4 tan(2x) − 4 cot(x) = 0
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11/12/23

Find all values of x in the interval [0, 2𝜋] that satisfy the equation. (Enter your answers as a comma-separated list.)
14 + 7 cos(2x) = 21 cos(x)
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11/10/23

question in statics and probability
According to an avid aquarist, the average number of fish in a 20-gallon tank is ten, with a standard deviation of two. His friend, also an aquarist, does not believe that the standard deviation is... more
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11/08/23

Express with only positive exponents. (32 x4 y4 )-3 / (33 x-5 y5)-5
(32 x4 y4 )-3 / (33 x-5 y5)-5
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11/05/23

calculus helpp!!!!!
A volcanic cone spews fine particles of rock which land in the surrounding area and cause the size of the cone to increase.(a) Suppose that a volcanologist takes measurements that show that when... more
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10/21/23

Graph the line perpendicular to y=4 that passes through (-5, -2)
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