6,967 Answered Questions for the topic mathematics

Mathematics Calculus Applications

05/04/22

If If we are limited to 950 ft of fencing, what dimensions of fence should be used to maximize the area?

A fence is to be constructed in a rectangular shape partitioned into three equal parts. If we are limited to 950 ft of fencing, what dimensions of fence should be used to maximize the area?
Mathematics Calculus Applications

05/04/22

Find the revenue function, and calculate the optimal price that would maximize the profit.

The marketing department provides the following price-demand equation: p=120-0.05xThe cost of producing x items is C(X)=500+5xFind the revenue function, and calculate the optimal price that would... more
Mathematics Calculus Applications

05/04/22

Calculate how high the rocket will go before it begins to fall.

A rocket is launched straight up into the sky. When it runs out of fuel it is 425 ft above the ground and traveling at a velocity of 75 feet per second. At that instant it begins to act as an... more
Mathematics Calculus Applications

05/04/22

How fast is the area growing after three days of spreading?

An oil spill in the gulf of Mexico is spreading out in a circular shape. The radius is spreading at 5 miles per day. How fast is the area growing after three days of spreading?
Mathematics Math Calculus Ap Calc

05/04/22

Estimate the area under the graph with midpoint?

 Estimate the area under the graph of f(x) = 16 - x^2 from x=0 to x=4 using 4 approximating rectangles.I got the right sum = 34 and left sum = 50 but how do I estimate area with midpoints?
Mathematics Math Calculus Pre Calculus

05/04/22

The value of k

If , what must be the value of k in order for f to be continuous?–2–112
Mathematics Math Calculus Pre Calculus

05/04/22

Which phrase describes

Let . Which phrase describes the continuity and differentiability of f at x = 1?continuous and differentiablecontinuous, but not differentiablenot continuous, but differentiablenot continuous and... more
Mathematics Math Calculus Precalculus

05/04/22

The average value of f(x)

If the average value of f(x) = x2 + 6kx over the interval [0, 6] is 84, then k = ..4.24.
Mathematics Math Calculus Pre Calculus

05/04/22

The population density

The population density of a city r miles from the city center is P(r) people per square mile. Which expression represents the total number of people living within a circular region extending 5... more
Mathematics Math Calculus Precalculus

05/04/22

Let P(t) represent

Let P(t) represent the number of cars in a school parking lot t hours after 7 a.m. If P(0) = 8 and P′(0) = 12, which of the following statements must be true?I. The instantaneous rate of change in... more
Mathematics Math Calculus Precalculus

05/04/22

Let f (a function)

Let f be a function such that . Which statement best interprets this limit?The function f has a value of –5 when x is 5.The function f has a value approaching –5 as x approaches 5.The... more
Mathematics Math Algebra 2 Algebra

05/04/22

Evaluate the expression for the given values of the variables.

Evaluate the expression for the given values of the variables.−k^2−​(8k−5​n)+9​n; k=−2 and n= -5
Mathematics Math Algebra 2 Algebra

05/04/22

Write the compound inequality as an absolute value inequality.

Write the compound inequality as an absolute value inequality.1.7≤h≤1.9
Mathematics Math Algebra 2 Algebra

05/04/22

Suppose the stadium takes in ​$1,448,500 from each​ sold-out event. How many seats does each section​ hold?

A stadium has 55,000 seats. Seats sell for ​$35 in Section​ A, ​$20 in Section​ B, and ​$15 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C.... more
Mathematics Math Calculus

05/04/22

Finding the divergence

Find the divergence of F-> (x, y, z) = < xcos−1y, z/ (y2 + 1) , 3xz2 + 2y > at (2, 0, −1).
Mathematics Math Calculus Ap Calc

05/02/22

integral problem

The velocity function is v(t)=t2−3t+2 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [−3,6].displacement = ??distance... more
Mathematics Math

05/02/22

Which angle number represents the linear pair of angle∠MRJ?

Mathematics Math Calculus Ap Calc

05/02/22

Optimization Calculus Question

Find two numbers A and B (with A<= B) whose difference is 42 and whose product is minimaized.A = ???B = ???
Mathematics Math Calculus Maths

05/02/22

What is this symbol in indefinite integral?

image- https://imgur.com/hTkTVdv
Mathematics Math Calculus Maths

05/02/22

Using U – Substitution or Integration by Parts, evaluate the Indefinite Integral of the following. ∫x^4e(^-x^3)dx

Using U – Substitution or Integration by Parts, evaluate the IndefiniteIntegral of the following.∫ x4e-x^3dx

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