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A model used for the yield Y of an agricultural crop as a function of the nitrogen level N in the soil (measured in appropriate units) is $y = \frac{k N}{1 + N^{2}}$ where k is a positive constant. What nitrogen level gives the best yield?

taiko3r4 2023-01-07

What is the second derivative of $x^{2} + y^{2} = 25$ evaluated at (-3, -4)?

Kayley Kidd 2023-01-07

If $f (x) = {\begin{cases} 7 - 4 x, x < 1 \\ x^{2} + 2, x \geq 1 \end{cases}$
then value of $lim_{x \to - 6} f (x)$ is
A)14
B)31
C)it does not exist
D)18

Kristian Combs 2023-01-04

What is the limit of #lim_((x,y)->(0,0))x^2/(x^2+y^2)#?

Wendy Larsen 2023-01-04

Find the equation of the line through the point (3, 5) that cuts off the least area from the first quadrant?

sublimnoj7u7 2023-01-01

The integral of $\tan^{- 1} (x)$ is -
A. $x \tan^{- 1} (x) - x \ln | 1 + x^{2} | + c$
B. $x^{2} \tan^{- 1} (x) - \frac{1}{2} \ln | 1 + x^{2} | + c$
C. $x \tan^{- 1} (x) - \frac{1}{2} \ln | 1 + x^{2} | + c$
D. $x \tan^{- 1} (x) - \frac{x}{2} \ln | 1 + x^{2} | + c$

gibbokf5 2023-01-01

What is the series limit for the Balmer series? (The series limit, like the name suggests, is the last line of the given series - the smallest wavelength that's still part of the same set of spectral lines)
A. 364.6nm
B. 121.6nm
C.656.3nm
D. 385.4nm

colida3956 2022-12-23

Prove the difference of any even integer minus any odd integer is odd.

Emenuele96j 2022-12-19

Evaluate the integral. (Use C for the constant of integration.)
$\int \sqrt{33 + 8 x - x^{2}}$
Evaluate the integral.
$\int_{0}^{\frac{p i}{2}} \frac{\cos t}{\sqrt{1 + \sin^{2} t}} d t$
Evaluate the integral.
$\int_{1}^{2} \frac{4 y^{2} - 6 y - 12}{y (y + 2) (y - 3)} d y$
Evaluate the integral. (Remember to use $\ln | u |$ where appropriate. Use C for the constant of integration.)
$\int 9 \cos^{2} x \tan^{3} x d x$

tenelhemcqr 2022-12-19

$f (x) = x^{- 6} + e^{2 x}, f^{'} (x) =$

nageljnovs6x 2022-12-19

Use the Second Fundamental Theorem of Calculus to find F'(x).
$F (x) = \int_{1}^{x} \frac{t^{2}}{t^{2} + 1} d t$

Tordellilgn 2022-12-19

Find integral
$\int \sqrt[5]{\sec x} \tan^{3} x d x = ? ? ? a) \frac{3}{10} (\sec x)^{\frac{10}{3}} - \frac{4}{3} (\sec x)^{\frac{3}{4}} + c b) \frac{5}{11} (\tan x)^{\frac{11}{5}} - 5 (\tan x)^{\frac{1}{5}} + c c) N o n e d) \frac{5}{11} (\sec x)^{\frac{11}{5}} - 5 (\sec x)^{\frac{1}{5}} + c e) 2 (\sec x)^{2} - \frac{1}{5} (\sec x)^{\frac{1}{5}} + c$

Olivia Landry 2022-12-18

What is $\frac{\partial}{\partial x_{i}} (x_{i}!)$ where $x_{i}$ is a discrete variable?

umemezelenqp 2022-12-18

Which set of ordered pairs could be generated by an exponential function?
(0,0),(1,1),(2,8),(3,27)
(0,1),(1,2),(2,5),(3,10)
(0,0),(1,3),(2,6),(3,9)
(0,1),(1,3),(2,9),(3,27)

patryk1987sgp 2022-12-17

Hello, plainmath! Help please to find answer.
Is differentiation of zero, zero?
I tried to find the answer but I couldn't.

psetancabyc 2022-12-17

Evaluate the definite integral.
$\int_{0}^{5} 8 (t^{5} - t^{3} + 1) d t$

psetancabyc 2022-12-17

Evaluate the iterated integral. $\int_{0}^{π / 2} \int_{0}^{\cos x} (1 + \sin x) d y d x$

aubardivd0 2022-12-17

Need to assess integral $\int \frac{\tan x}{x^{2} + 1} d x$

Harper Burnett 2022-12-17

We need to know what is the difference between free and finitely generated modules?

Kaitlin Jacobson 2022-12-17

Evaluate the common limit
I have to assess some limits without using L'Hopital rule, just by definition. So I got:
$lim_{h \to 0} (\frac{e^{h} - 1}{h}) .$
After evaluating it in a Math app, it states that it's just 1 due to the common limit evaluation, but I don't understand why it's 1.

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.

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