Get Your Calculus 1 Questions Answered Here!

Use continuity to evaluate the limit.
$lim_{x \to π} 8 \sin (x + \sin x)$
Don't really understand this. My trig func, knowledge is low but an explanation to look back to always helps me move forward.

rastafarral6 2021-11-21

Determine which of the following limits exist, and find the limits which do exists.
a) $lim_{(x, y) \to (0, 0)} \frac{x^{3} + y^{3}}{x^{2} + y^{2}}$
b) $lim_{(x, y) \to (0, 0)} \frac{x^{2} + 4 x y^{2} + 4 y^{4}}{x^{2} + 4 y^{4}}$

puntgewelb5 2021-11-21

Evaluate the following limits. If you use lHospitals Rule, be sure to indicate when yyou are using it, and why it applies.
a) $lim_{x \to \infty} (3 \cdot 2^{1 - x} + x^{2} \cdot 2^{1 - x})$
b) $lim_{x \to 0^{+}} {(1 + 5 x)}^{\frac{2}{x}}$

Steven Smith 2021-11-20

Find the derivative of the function
$f (θ) = \cos (θ^{2})$
$f^{'} (θ)$

vetrila10 2021-11-20

Solve, please:
$\int_{7}^{9} (9 + 3 x) d x = ?$

xcl3411 2021-11-20

Indeterminate forms $0^{0}$ and $1^{\infty}$ . Evaluate the following limits.
a) $lim_{x \to 0^{+}} x^{x}$
b) $lim_{x \to \infty} {(1 + \frac{1}{x})}^{x}$

ushwaui 2021-11-19

Compute, please, definite integral which have a absolute value function like these below:
$\int_{- 2}^{3} | x | d x$
$\int_{- 2}^{3} | x - 1 | d x$
$\int_{- 2 π}^{2 π} | \sin x | d x$

jippie771h 2021-11-19

Evaluate the following limits. If needed, enter infinity for $\infty$ and -infinity for $- \infty$
a) $lim_{x \to {\frac{9}{2}}^{+}} (\frac{29 x}{9 - 2 x})$
b) $lim_{x \to {\frac{9}{2}}^{-}} (\frac{29 x}{9 - 2 x})$

pamangking8 2021-11-19

An airplane flies at an altitude of 5 miles toward a point directly over an observer (see figure). The speed of the plane is 600 miles per hour. Find the rates at which the angle of elevation $θ$ is changing when the angle is
a) $θ = 30^{\circ}$
b) $θ = 75^{\circ}$

khi1la2f1qv 2021-11-18

Use continuity and the intermediate value theorem to solve problems.
If $f (x) = x^{3} - 6 x + 8$ , show that there are values c for which f(c) equals a) $π$ , b) $- \sqrt{3}$ , and c) 6,000,000.

varaderiyw 2021-11-18

Use the definition of continuity and the properties of limits to show that the function is continuous on the given interval.
$f (x) = \frac{2 x + 3}{x - 2}, (2, \infty)$

korporasidn 2021-11-17

Evaluate the limit, if it exists.
$lim_{x \to 9} \frac{3 - \sqrt{x}}{9 x - x^{2}}$

Tomasettiq3 2021-11-16

Evaluate the following limits.
a) $lim_{x \to {\frac{3}{8}}^{+}} \frac{20 x}{3 - 8 x}$
b) $lim_{x \to {\frac{3}{8}}^{-}} \frac{20 x}{3 - 8 x}$

vomiderawo 2021-11-16

Find the first partial derivatives of the function.
$f (x, t) = \sqrt{x} \ln t$

uneskovogl5 2021-11-16

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

alka8q7 2021-11-16

So, I need to determine the end behavior of P for this equation:
$P (x) = - x^{5} + 3 x^{2} + x$
If possible, how is this done?

Susan Munoz 2021-11-16

Find the derivative of this problem.
$h (x) = \sin 2 x \cos 2 x$

zachutnat4o 2021-11-15

Let
f(x,y)= ${\begin{cases} \frac{x y}{2 x^{2} + 3 y^{2}}, (x, y) \neq (0, 0) \\ 0, (x, y) = (0, 0) \end{cases}$
Discuss continuity of f(x,y) and existence of first order partial derivateves.

vakirnarhh 2021-11-15

Calculate the directional derivative of $f (x, y, z) = x y + y z + z x$ at P(1, -1, 3) in the direction of Q(2, 4, 5).

Agaiepsh 2021-11-15

A model for the population P(t) in a suburb of a large city is given by the initial-value problem
$\frac{d P}{d t} = P (10^{- 1} - 10^{- 7} P), P (0) = 5000$
where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value?

The majority of Calculus 1 questions and answers that you will find below should be sufficient for understanding the basic rules that are necessary for problem-solving purposes. Take a look at the original answers, seek math assignment help, and compare them to what you have for your assignment.

If you need any other kind of help for your Calculus 1 tasks, combine several solutions or look at the problem that seems similar to your original assignment. If Math is not your subject per se, start with the most basic problems and proceed with the complex ones.

Calculus 1

Master Calculus 1 Practice Problems with Expert Help