Solve Integral Calculus Problems with Ease

College
Calculus and Analysis
Integral Calculus

To calculate: The vertices and foci of the conic section: $x 29 + y 24 = 1$

Dolly Robinson 2021-01-31

Find the exact value of each of the remaining trigonometric function of $θ .$
$\cos θ = \frac{24}{25}, 270^{\circ} < θ < 360^{\circ}$
$\sin θ = ?$
$\tan θ = ?$
$\sec θ = ?$
$\csc θ = ?$
$\cot θ = ?$

tricotasu 2021-01-31

Find the solution to this equation:
$\sqrt{2} \cos (x) \sin (x) + \cos (x) = 0$
The solution should be such that all angles are in radian. for solution the first angle should be between $[0, 2 π)$ and then the period.
And when 2 or more solutions are available then the solution must be in increasing order of the angles.

Tyra 2021-01-31

Find the center, foci, vertices, asymptotes, and radius, if necessary, of the conic sections in the equation:
$x^{2} + 4 x + y^{2} = 12$

sibuzwaW 2021-01-31

Convert the following equations to its standard form and identify the vertex and focus.
$3 y^{2} + 8 x + 24 y + 40 = 0$

Lewis Harvey 2021-01-30

Solve the system of equations by either the addition method or the subtitution method.
Express numbers as integers or decimals.
$- 0.1 x + 0.1 y = 0.2$
$0.1 x + 0.1 y = 0.1$

Chardonnay Felix 2021-01-30

a) If $f (t) = t^{m} and g (t) = t^{n}$ , where m and n are positive integers. show that $f * g = t^{m + n + 1} \int_{0}^{1} u^{m} {(1 - u)}^{n} d u$
b) Use the convolution theorem to show that
$\int_{0}^{1} u^{m} {(1 - u)}^{n} d u = \frac{m! n!}{(m + n + 1)!}$
c) Extend the result of part b to the case where m and n are positive numbers but not necessarily integers.

boitshupoO 2021-01-28

How trigonometric substitutions can helps in solving difficult integrals?

Cabiolab 2021-01-28

Sketch the region bounded by the curves: $y = \ln x, y = 0 y = \ln x, y = 0$ and $x = e x = e$ , then find, the area of this region, and find the volume of the solid generated by revolving this area about the line $x = - 2 ? x = - 2$ ?

Clifland 2021-01-28

Evaluate the integrals.
$\int_{- 2}^{2} (3 x^{4} - 2 x + 1) d x$

hexacordoK 2021-01-28

For the following exercises, use the compound interest formula, $A (t) = P {(1 + \frac{r}{n})}^{n t}$ .
Use properties of rational exponents to solve the compound interest formula for the interest rate, r.

slaggingV 2021-01-28

Evaluate the integrals using a table of integrals.
$\int x \sin^{- 1} 2 x d x$

Haven 2021-01-27

integrate $\tan^{2} x$

djeljenike 2021-01-24

The exercise provides the equation for a degenerate conical section. Fill in the square and describe the graph of each equation.
$4 x^{2} - y^{2} - 32 x - 4 y + 60 = 0$

alesterp 2021-01-24

The polar equation of the conic with the given eccentricity and directrix and focus at origin: $r = 41 + \cos θ$

necessaryh 2021-01-23

A planning committee for a major development project must consist six members. There are eight architects and five engineers available to choose from. In how many different ways can this planning committee be formed (rounded off to zero decimals)?

fortdefruitI 2021-01-22

Use rational exponents to write a single radical expression.
$\sqrt[7]{11} \times \sqrt[6]{13}$

abondantQ 2021-01-22

The table shows some values of the derivative of an unknown function f.Complete the table by finding the derivative of each transformation of f, it possible
a) $g (x) = f (x) - 2$
b) $h (x) = 2 f (x)$
c) $r (x) = f (- 3 x)$

Caelan 2021-01-19

Show that mapping $y \mapsto r e f l_{L} y$ is a linear transformation.

waigaK 2021-01-19

Parametric Equations of a Hyperbola Eliminate the parameter 0 in the following parametric equations. $x = a t a n 0 y = b s e c$ e

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Integral Calculus

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