6,938 Answered Questions for the topic mathematics

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
Mathematics Math Calculus Maths

05/02/22

Using U – Substitution or Integration by Parts, evaluate the Indefinite Integral of the following. ∫ sin x sin 4x dx dx Hint. Use the integration by parts twice.

Using U – Substitution or Integration by Parts, evaluate the IndefiniteIntegral of the following.∫ sin x sin 4x dx dx Hint. Use the integration by parts twice.
Mathematics Math Quadratic Equation

05/01/22

Quadratic Translations

How can I solve the question: Determine the vertex form equation of the parabola that is congruent (same shape) to the parent parabola (y=x2), has a vertex at (-3,-7) and is opening down.

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