1,119 Answered Questions for the topic AP Calculus

Ap Calculus Calculus

06/04/22

If A is a diagonalizable n × n matrix, prove that A2 is also diagonalizable.
Ap Calculus Calculus

06/04/22

Find the area of the surface of the cap, cut from thehemisphere x 2 + y2 + z2 = 5, z ≥ 0, by the cylinder x2 + y2 = 1.
Ap Calculus Calculus

06/03/22

Use cylindrical coordinates to evaluate∫∫∫E (√x2+y2 ) (dV),where E is the region inside the cylinder (x − 1)2 + y2 = 1 and between the planes z = −1 and z = 1.
Ap Calculus Calculus

06/01/22

Find the area of the surface of the cap, cut from thehemisphere x 2 + y2 + z2 = 5, z ≥ 0, by the cylinder x2 + y2 = 1.
Ap Calculus Calculus

05/28/22

Let A be an n x n matrix and consider the linear homogeneous system Ax = 0. If the linear system has only the trivial solution state whether the following statements are true or false. (a) 0 is an... more
Ap Calculus Calculus

05/28/22

Let T : R2 → R2 be a linear operator defined byT ⌈1⌉ = ⌈2⌉ T ⌈2⌉ = ⌈4⌉ ⌊1⌋ ⌊2⌋ , ⌊1⌋ ⌊5⌋ Find a formula for T ⌈x⌉ ⌊y⌋
Ap Calculus Calculus

05/28/22

If A is a diagonalizable n × n matrix, prove that A2 is also diagonalizable.
Ap Calculus Calculus

05/28/22

#### 3) Hello,I need help with this

Use cylindrical coordinates to evaluate ∫∫∫E (√x2+y2 ) (dV), where E is the region inside the cylinder (x − 1)2 + y2 = 1 and between the planes z = −1 and z = 1.
Ap Calculus Calculus

05/28/22

#### 2) Please, I need help with this.

Find the volume of the tertrahedron with vertices (0, 0, 0),(2, 0, 0), (0, 4, 0) and (0, 0, 6).
Ap Calculus Calculus

05/28/22

#### 1) Hello, please can you assist me with this urgently

Find the area of the surface of the cap, cut from the hemisphere x 2 + y2 + z2 = 5, z ≥ 0, by the cylinder x2 + y2 = 1.
Ap Calculus Math Calculus Mathematics

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
Ap Calculus Math Calculus Mathematics

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
Ap Calculus Math Calculus Mathematics

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?
Ap Calculus Math Calculus Mathematics

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
Ap Calculus Calculus Ap Calc Calc

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)?
Ap Calculus Calculus Ap Calc Calc

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.
Ap Calculus Math Calculus Mathematics

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 = ???
Ap Calculus Calculus Bc Calculus

04/27/22

#### Which of the following must be true?

Question #39- Let f be a differentiable function and you're given that the graph of a line tangent to the graph of f is at x=0. Which of the following must be true? ANSWER CHOICES: f'(0)=-f(0),... more
Ap Calculus Math Calculus Mathematics

04/22/22

Ap Calculus Math Calculus Mathematics

04/22/22

Ap Calculus Math Calculus Mathematics

04/22/22

#### Integral Question

Consider the integral:21∫ x^3 dx3﻿-Use Left Sum, Right Sum, Midvalue Sum, and Trapezoid Rule  methods to approximate this integral with n = 3﻿-Find the exact value of this integral
Ap Calculus Math Calculus Mathematics

04/22/22

#### Integral Question

Consider the integral:21∫ x^3 dx3﻿-Use Left Sum, Right Sum, Midvalue Sum, and Trapezoid Rule  methods to approximate this integral with n = 3﻿-Find the exact value of this integral
Ap Calculus

04/21/22

#### What is the position of the car when t = 20?

A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of... more
Ap Calculus Math Calculus Mathematics

04/19/22

#### calculus integral question

Consider the integral:21∫ x^3 dx3﻿-Use all three methods to approximate this integral with n = 3-Find the exact value of this integral
Ap Calculus Math Calculus Derivative

04/14/22

#### antiderivative question

find ∫ (3^x - 5)(4^x + 7) dx

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