Precalculus Solutions | Expert Assistance for Problems & Examples

Multiply these polynomials: $12 a b (\frac{5}{6 a} + \frac{1}{4 a b^{2}})$

Tobias Ali 2021-02-24

Evaluate the following.
$\int \sin^{2} x \cdot \tan x d x$

Chardonnay Felix 2021-02-23

compute the indicated matrices . FE
$A = [\begin{matrix} 3 & 0 \\ - 1 & 5 \end{matrix}], B = [\begin{matrix} 4 & - 2 & 1 \\ 0 & 2 & 3 \end{matrix}], C = [\begin{matrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{matrix}], D = [\begin{matrix} 0 & - 3 \\ - 2 & 1 \end{matrix}], E = [\begin{matrix} 4 & 2 \end{matrix}], F = [\begin{matrix} - 1 \\ 2 \end{matrix}]$

Yulia 2021-02-23

Given the matrices $A = [\begin{matrix} - 4 & - 3 & 2 \\ 0 & 2 & - 2 \end{matrix}] and B = [\begin{matrix} 0 & - 1 & 5 \\ 2 & - 1 & 2 \end{matrix}]$ A+B=?

e1s2kat26 2021-02-22

Investigate the change in the graph of a sinusoidal function of the form $and = \sin x or and = \cos x$ when multiplied by a polynomial function. Use a graphing calculator to sketch the graphs of and $= 2 x, and = - 2 x, and = 2 x \cos x$ on the same coordinate plane, on the interval $[- 20, 20] .$

Kaycee Roche 2021-02-22

Reduce the following matrices to row echelon form and row reduced echelon forms:
$(i) [\begin{matrix} 1 & p & - 1 \\ 2 & 1 & 7 \\ - 3 & 3 & 2 \end{matrix}] (i i) [\begin{matrix} p & - 1 & 7 & 2 \\ 2 & 1 & - 5 & 3 \\ 1 & 3 & 2 & 0 \end{matrix}]$
Find also the ra
of these matrices.
Notice: $p = 4$

Albarellak 2021-02-21

Let A,B be two matrices with linearly independent columns . If $C o l (A) = C o l (B)$ then $A (A^{T} A)^{- 1} A^{T} = B (B^{T} B)^{- 1} B^{T}$
True or False?

OlmekinjP 2021-02-21

If Jeremy has 4 times as many dimes as nickels and they have a combined value of 360 cents, how many of each coin does he have?

Jaya Legge 2021-02-21

Determine the null space of each of the following matrices:
$[\begin{matrix} 1 & 1 & - 1 & 2 \\ 2 & 2 & - 3 & 1 \\ - 1 & - 1 & 0 & - 5 \end{matrix}]$

Zoe Oneal 2021-02-21

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that $R n (x) \to 0$ .]
$f (x) = e - 5 x$

Bevan Mcdonald 2021-02-21

A,B,C are $3 \times 3$ matrices with det(A)=-3 , det(D)=-2, det(C)=6.What is $d e t (A^{T} A^{- 1})$ ?
1
-9
3
-1
9

glasskerfu 2021-02-20

Derive the matrix that represents a pure rotation about the (i) y-axis , (ii) z-axis and (iii) x-axis of the reference frame with the help of diagram.

Nannie Mack 2021-02-20

Graph each polynomial function. $f (x) = 4 x^{4} + 7 x^{2} - 2$

Kaycee Roche 2021-02-20

Compute the product AB by the definition of the product of matrices, where $A b_{1} and A b_{2}$ are computed separately, and by the row-column rule for computing AB.
$A = [\begin{matrix} - 1 & 2 \\ 2 & 5 \\ 5 & - 3 \end{matrix}], B = [\begin{matrix} 4 & - 1 \\ - 2 & 4 \end{matrix}]$
Determine the product AB
AB=?

Tammy Todd 2021-02-19

Determine whether each of the following statements is true or false, and explain why.If A and B are square matrices of the same size, then $A B = B A$

allhvasstH 2021-02-19

If 4A-3B=2C (where A,B and C are all matrices) then Matrix A can be defined as:
Select one:
a) 0.5C+3B
b) $\frac{2 C + 3 B}{4}$
c) 0.5C+0.75B
d) C+B

Jaya Legge 2021-02-18

Power series for derivatives
a. Differentiate the Taylor series centered at 0 for the following functions.
b. Identify the function represented by the differentiated series.
c. Give the interval of convergence of the power series for the derivative.
$f (x) = \ln (1 + x)$

floymdiT 2021-02-16

If $3 [\begin{matrix} x_{1} & x_{2} \\ x_{3} & x_{4} \end{matrix}] = [\begin{matrix} x_{1} & 2 \\ - 1 & 4 x_{4} \end{matrix}] + [\begin{matrix} 4 & x_{1} + x_{2} \\ x_{3} + x_{4} & 3 \end{matrix}]$
1. $x_{1} = - 2, x_{2} = 2, x_{3} = - 2, x_{4} = - 3$
2. $x_{1} = 2, x_{2} = - 2, x_{3} = - 2, x_{4} = - 3$
3. $x_{1} = 2, x_{2} = 2, x_{3} = 2, x_{4} = - 3$
4. $x_{1} = 2, x_{2} = 2, x_{3} = - 2, x_{4} = 3$
5, $x_{1} = 2, x_{2} = 2, x_{3} = - 2, x_{4} = - 3$

defazajx 2021-02-15

Write the complex number in trigonometric form $r (\cos θ + i \sin θ)$ ,with theta in the interval $[0^{\circ}, 360^{\circ}]$
$5 \sqrt{3} + 5 i$

Cabiolab 2021-02-15

Given the two matrices,
$A = [\begin{matrix} 1 & 2 & 3 \\ 1 & 1 & 2 \\ 0 & 1 & 2 \end{matrix}] and B = [\begin{matrix} 1 & 1 & 1 \\ 2 & 1 & 2 \\ 3 & 1 & 2 \end{matrix}]$
(a) Find det A, det B , det(AB) , det(BA) , det(5A) , $d e t A^{T}$ and $d e t (B^{6})$
(b) Find adj A and adj B
(c) Find $A^{- 1}$ and $B^{- 1}$ using the adjoint matrices you found in part (b)

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