Calculus Examples & Word Problems Solutions

High School
Calculus and Analysis

Recent questions in Calculus and Analysis

Amari Flowers 2020-10-27

Find the interval of convergence of the power series.
$\sum_{n = 1}^{\infty} \frac{(- 1)^{n} x^{n}}{n}$

sanuluy 2020-10-27

With one score eliminated from the population, the new mean is discovered to be $μ = 19$ , which corresponds to a population of N = 16 scores with a mean of p = 20. What was the significance of the removed in-e score?

waigaK 2020-10-27

Decide whether the composite functions, $f \circ g$ and $g \circ f$ , are equal to x.
$f (x) = x^{3} + 9$
$g (x) = \sqrt[3]{x - 9}$

shadsiei 2020-10-27

Solve the polynomial inequality graphically. $2 x^{3} - 5 x^{2} - x + 6 > 0$

nicekikah 2020-10-26

Find DA and AD , if possible , where $D = D_{g} (3, 0, 2, - 1)$ and A is given matrix.
$A = [\begin{matrix} 2 i & 0 & 1 & 3 i \\ 0 & 1 + i & 8 & 0 \\ - i & 1 & 0 & i \\ 1 & 1 & 1 & 1 \end{matrix}]$

slaggingV 2020-10-26

Expand $\frac{1}{\sqrt[4]{1 + x}}$ as a power series

Josalynn 2020-10-26

Discuss the convergence of the following series:
$\sum_{n = 1}^{\infty} \frac{\cos n π}{n^{2} + 1}$

slaggingV 2020-10-26

For each of the following series, using no tests besides the nth Term and Comparison Tests, determine whether the series converges, diverges to $\pm \infty$ , or diverges, not to $\pm \infty$
$\sum \frac{n - 1}{n^{2} - 1}$

Burhan Hopper 2020-10-26

Determine whether A is similar B .If $A \sim B$ , give an invertible matrix P such that $P^{- 1} A P = B$
$A = [\begin{matrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{matrix}], B = [\begin{matrix} 1 & 1 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{matrix}]$

midtlinjeg 2020-10-26

Find a family of the matrices that is similar to the matrix $Q = [\begin{matrix} p & - 2 \\ 4 & - 3 \end{matrix}]$

ka1leE 2020-10-26

obtain a single matrix whose column space has $B = (1, 1, 0, 0), (9, 1, 0, 1)$

Lipossig 2020-10-26

Use the matrix P to determine if the matrices A and A

Harlen Pritchard 2020-10-25

Evaluate the integral. $\int_{0}^{1} \frac{(x - 4)}{(x^{2} - 5 x + 6 d x)}$

generals336 2020-10-25

Determine whether the given series is convergent or divergent. Explain your answer. If the series is convergent, find its sum.
$\sum_{n = 0}^{\infty} \frac{3^{n} + 2^{n + 1}}{4^{n}}$

sibuzwaW 2020-10-25

Use the Alternating Series Test, if applicable, to determine the convergence or divergence of the series.
$\sum_{n = 2}^{\infty} \frac{(- 1)^{n} n}{n^{2} - 3}$

Marvin Mccormick 2020-10-25

Find the sum of the convergent series.
$\sum_{n = 1}^{\infty} \frac{1}{9 n^{2} + 3 n - 2}$

nicekikah 2020-10-25

Solve for X in the equation, given
$3 X + 2 A = B$
$A = [\begin{matrix} - 4 & 0 \\ 1 & - 5 \\ - 3 & 2 \end{matrix}] and B = [\begin{matrix} 1 & 2 \\ - 2 & 1 \\ 4 & 4 \end{matrix}]$

Cabiolab 2020-10-25

Define Block Matrices.

Lennie Carroll 2020-10-25

Evaluate the following.
$\int \frac{\cos^{5} (3 z) d z}{\sin^{2} (3 z)}$

defazajx 2020-10-23

A drug production company has three branches A, B, and C, each of which produces two types of medicine daily. If the first branch produces 100 boxes of the first type, 400 boxes of the second type, and the branch B produces 200 boxes of the first type, 300 boxes of the type The second and branch C produce 150 boxes of the first type, 250 boxes of the second type.
A) Systems the data in a matrix in two ways
B) Are the two matrices equal? Why?

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Calculus and Analysis

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