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Evaluate the double integral by first identifying it as the volume of a solid.
$\int \int_{R} \sqrt{2} d A, R = {(x, y) | 2 \leq x \leq 6, - 1 \leq y \leq 5}$

Emilia Carpenter 2022-12-01

The following functions are undefined at x =0. For each determine if this point of discontinuity is removable or not If, so state the value for the function at x = 0 which allows for a continuous extension.
(a) $f (x) = 1 / (\sin (x))$
(b) $f (x) = x \sin (1 / x)$
(c) $f (x) = (| \sin (x) |) / x$
(d) $f (x) = (\sin (2 x)) / x$

Neil Sharp 2022-11-30

Use the Fundamental Theorem of Calculus to calculate the definite integral.
$\int_{0}^{9} (u^{2} + 7 u) d u$

Bailee Richards 2022-11-30

Evaluate the line integral, where C is the given curve. $\int_{C} x y z^{2} d s$ . C is the line segment from (-1,2, 0) to(1, 3,3).

hEorpaigh3tR 2022-11-30

Energy is neither created nor destroyed. True or False

Neil Sharp 2022-11-30

Use the formula for instantaneous rate of change, approximating the limit by using smaller and smaller values ofh to find the instantaneous rate of change for the given function at the given value.
$f (x) = 7 x^{\ln x}, x = 3$

umthumaL3e 2022-11-30

Calculation of the derivative of $e^{\cos (x)}$ from first principles
The derivative of $e^{\cos (x)}$ is $- \sin (x) e^{\cos (x)}$ . However I would like to prove it using first principles, i.e. by using $f^{'} (x) = lim_{h \to 0} \frac{f (x + h) - f (x)}{h}$

AimettiA8J 2022-11-29

You must estimate the limit using the appropriate limit law.
$lim x \to \frac{2 x^{2} + 4}{x^{2} + 4 x - 4}$

aamcastello1BN 2022-11-29

Find the derivative of $x^{2 / x^{4}}$

WibblallyKCC 2022-11-28

Which set of ordered pairs could be generated by an exponential function?
$(1, 1), (2, \frac{1}{2}), (3, \frac{1}{3}), (4 \frac{1}{4}) (1, 1), (2, \frac{1}{4}), (3, \frac{1}{9}), (4 \frac{1}{16}) (1, \frac{1}{2}), (2, \frac{1}{4}), (3, \frac{1}{8}), (4 \frac{1}{16}) (1, \frac{1}{2}), (2, \frac{1}{4}), (3, \frac{1}{6}), (4 \frac{1}{8})$

unecewelpGGi 2022-11-28

The mass per unit volume of a substance is called density (density = mass/volume). Arrange the following in order of increasing density - air, exhaust from chimney, honey, water, chalk, cotton, and iron.

Finn Mosley 2022-11-27

If $f (x) + x^{2} [f (x)]^{3} = 10$ and $f (1) = 2$ , find $f^{'} (1)$

Alberanteb4T 2022-11-27

We want to find the exact length of the arc along the curve $y = 1 + 6 x^{3 / 2}$ from (0,0) to (4,49)
a) Set up the integral that will calculate the arc length.
b)L=?
b) Evaluate the integral exactly.
L=?
c) Use your calculator and approximate the arc length correct to three decimals.
$L \approx ?$

FofieiyK 2022-11-27

What is $\frac{d y}{d x}$ ?

unecewelpGGi 2022-11-27

What is the opposite of integration in calculus?

fabianmartinOTQ 2022-11-27

Can an irrational number be constructed which is a) not any known transcendental number b) not a surd? If yes, then how can I construct one?

johnathanpbICa 2022-11-26

Express the limit as a definite integral on the given interval.
$lim_{n \to \infty} \frac{\cos x_{i}}{x_{i}} δ x, [2 π, 3 π]$

experimediaisF 2022-11-26

Integers are closed under division, i.e. for any two integers, a and b, a/b will be an integer. True or false.

Moncelliqo4 2022-11-26

Find the equation of the line perpendicular to $y = \frac{2}{15} x$ that passes through (−4,4)

Jamir Summers 2022-11-26

Find the derivative of $y = \tan^{2} (x)$ ?

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