640 Answered Questions for the topic calc

05/05/22

#### Optimization Help and explanation

A Norman window is shaped like a rectangle with a semicircle on top of it. A carpenter has 10m of wood trim and wishes to cover the sides of the rectangle and the upper part of the semicircle.... more

05/05/22

#### Help explaining equation simplifying

here's what I'm working with:pi ([(24-2s)/pi]^2) + s^2 = [(4/pi) + 1]* s^2 - 96s/pi + 576/pii have no idea where the (4/pi + 1) came from can someone walk me through the simplifying?

05/05/22

#### Speedometer readings for a motorcycle at 12-seconds intervals are given in the table.

Speedometer readings for a motorcycle at 12-seconds intervals are given in the table.t (sec) 0 12 24 36 48 60v (ft/sec) 22 26 29 23 23 30(a) Estimate the distance, in feet, traveled by the... more

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?

05/04/22

#### The value of k

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

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

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.

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

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

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

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

05/02/22

#### antiderivative velocity question

A particle moves on a straight line and has acceleration a(t)=18t+14.Its position at time t=0 is s(0)=6 and its velocity at time t=0 is v(0)=14.What is its position at time t=7?

05/02/22

#### antiderivatives question

Given that the graph of f(x) passes through the point (6,7) and that the slope of its tangent line at (x,f(x)) is 3x+2, what is f(2)?

05/02/22

#### Find two positive numbers whose product is 144  and whose sum is a minimum? Optimization Help

Find two positive numbers whose product is 144  and whose sum is a minimum.

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 = ???
Calc Calculus

05/01/22

#### computing a derivative - calculus question

Compute the following derivatives. Assume a and b are constants, f and g are functions, and x is the input variable. Your answers may include any or all of the symbols x, a, b, f and g, as well as... more
Calc Calculus

04/30/22

#### derivatives - calculus question

Compute the following derivatives. Assume a and b are constants, f and g are functions, and x is the input variable. Your answers may include any or all of the symbols x, a, b, f and g, as well as... more
Calc Math Calculus

04/30/22

#### Derivatives - calculus

Compute the following derivatives. Assume a and b are constants, f and g are functions, and x is the input variable. Your answers may include any or all of the symbols x, a, b, f and g, as well as... more
Calc Calculus

04/29/22

#### derivatives calculus

Calculate the following derivatives. Assume that any letter other than t is a constant.d/dt (h0 + v0t + 1/2gt^2) = __________d/dt (Ce^-kt) = ______________d/dt (P0 + k/t^2) = ____________d/dt (at^3... more
Calc Calculus

04/29/22

#### derivatives math question

Calculate the following derivatives. Assume that a, b and n are constants.d/dx (a + bx + x^n) = ___________d/dx (e^x + e^ax + e^ax+b) = _____________
Calc Calculus

04/29/22

#### derivatives math question

Assume A and k are constants. Compute the following derivatives. All answers should be written in terms of t, A and k.1.d/dt (Asin(t) + cos(kt)) = ________2.d/dt (Asin(t)cos(kt)) = _______3.d/dt... more
Calc Calculus

04/29/22

#### Derivatives - calc

Compute the following derivatives. Assume a and b are constants, f and g are functions, and x is the input variable. Your answers may include any or all of the symbols x, a, b, f and g, as well as... more
Calc Calculus

04/28/22

#### integration using substitution

If you wanted to transform the antiderivative∫ sin^4 x cos x dxUse your choice to transform the problem. Write your answer in terms of u:∫_____________
Calc Calculus

04/28/22

#### integration using substitution

If you wanted to transform the antiderivative∫(x + 1)√x + 2 dxUse this choice to transform the problem. Write your answer in terms of u:∫________________
Calc Calculus

04/28/22

#### integration using substitution

If you wanted to transform the antiderivative∫ x^2/2x − 3 dxUse this choice to transform the problem. Write your answer in terms of u:∫___________________

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