1,954 Answered Questions for the topic linear algebra

11/08/21

How to find the third deriavative of this function using leibniz theorem?

Using leibniz theorem find the third derivative of this following functiony= e2xlnx
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Linear Algebra Calculus

11/05/21

Concave up?.....
Consider the parabolic function f(x) = ax2 + bx + c , where a ≠ 0, b and c are constants. For what values of a, b and c is f.
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Linear Algebra Calculus

11/05/21

Evaluate the following limit.
lim x + √x / x - 2x → 2-
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Linear Algebra Calculus

11/05/21

Evaluate the following limit.
lim 2x - xex / x - 5x → -∞
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Linear Algebra Calculus

11/05/21

Evaluate the following limit.
lim x + 1 / | x + 1| x→-1
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Linear Algebra Calculus

11/05/21

How fast is the size of the population changing after 1 minute?
Under a set of controlled laboratory conditions, the size of the population P of a certain bacteria cultureat time t (in seconds) is given by the functionP(t) = 3t2 + 3et + 10, t ≥ 0
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Linear Algebra Calculus

11/05/21

Find the average rate of change of P at t = 2 and t = 6?
Under a set of controlled laboratory conditions, the size of the population P of a certain bacteria cultureat time t (in seconds) is given by the functionP(t) = 3t2 + 3et + 10, t ≥ 0
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Linear Algebra Calculus

11/05/21

What is the size of the population after 1 minute?
Under a set of controlled laboratory conditions, the size of the population P of a certain bacteria culture at time t (in seconds) is given by the function P(t) = 3t2 + 3et + 10, t ≥ 0
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Linear Algebra Calculus

11/05/21

Use Mathematica to verify.
Use the definition of the derivative to differentiate f (x) = ln x.
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Linear Algebra Calculus

11/05/21

Use Mathematica to verify.
Use the definition of the derivative to differentiateV = 4/2 𝝅r3
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Linear Algebra

11/02/21

A linear Algebra question
Let V be a finite-dimensional vector space over an algebraically closed field F.Suppose A is a commutative subalgebra of L(V, V ), i.e. if S, T ∈ A, and c ∈ F then• S + T ∈ A,• ST ∈ A,• cT ∈ A,... more
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Linear Algebra

10/29/21

T/F: If A has full row rank, then AA^T must be invertible.
If A has full row rank, then AA^T must be invertible. True or False?
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Linear Algebra Proofs

10/29/21

Show that u and v are orthogonal if and only if (||u+v||)^2 = ||u||^2+||v||^2.
Show that u and v are orthogonal if and only if (||u+v||)^2 = ||u||^2+||v||^2.
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Linear Algebra Math

10/27/21

Math test question
On a certain test there are two types of questions – multiple choice questions worth 2 marks each and short answer questions that are worth 5 marks each. The test is out of a total of 64 marks. How... more
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10/27/21

How to solve this problem(tanθ/θ) in squeeze theorem when limit is θ→0(positive).Please help i got stuck in this problem.

limθ→0+ tanθ/θ
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Linear Algebra

10/27/21

For each question below, indicate whether the statement is true or false. If it is true, explain why. If it is false, provide a counter-example.
a. (2 points) True or False: If x is a vector in the null space of A then x will also be in the null space of M = AB. b. (2 points) True or False: If x is a vector in the null space of B then x... more
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Linear Algebra

10/24/21

(a) The domain and range of each function (b) The intercepts, if any (c) Horizontal asymptotes, if any (d) Vertical asymptotes, if any (e) Oblique asymptotes, if any(0, 2) 3 х -3 -3
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Linear Algebra

10/22/21

New comment on your question "Determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell why not. F(X)= 5x⁴ – πx³ + ½
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Linear Algebra

10/21/21

1、Determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell why not. x⅔ – x² + 2
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Linear Algebra

10/21/21

form a polynomial function whose real zeros and degree are given.Answers will vary depending on the choice of a leading coefficient. Zeros:–2, Multiplicity 2; 4, Multiplicity 1; degree 3
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Linear Algebra

10/20/21

For h(x) = (x² + 8)(x² +9 )² determine the following: d. Determine the end behavior; that is, the power function that the graph of h resembles for large values of |x].
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Linear Algebra

10/20/21

For h(x) = (x – 5)²(x + 4)³ determine the following: d. Determine the end behavior; that is, the power function that the graph of h resembles for large values of |x].
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Linear Algebra

10/20/21

Find the smallest solution for which all four variables are positive integers
5x+ y+ z=K x+7y+ z=K x+ y+8z=K a. Express Equations (5) as a homogeneous linear system of three equations in four unknowns (x, y, z, and K), and show that the solution set has one arbitrary... more
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Linear Algebra

10/19/21

1、Determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell why not.h(X)= √x (√x –1)
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Linear Algebra

10/18/21

Let’s consider the subspace of a vector space of all functions of a variable t.
a) what are the coordinates of the function 3 sin t + 5 cos t = f(t) with respect to the basis {sin t, cost}?b) Find coordinates with respect to base {cos t, sin t}
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