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What is $\int \frac{7}{8} e^{2 t - 1} d t$ ?

Araceli Soto 2022-04-30

Find the integral of $\frac{6}{7} \cos (3 - 5 x)$ with respect to x.

Aaron Coleman 2022-04-30

What is $\int \frac{2}{9} \sqrt{4 x + 5} d x$ ?

adiadas8o7 2022-04-30

Show that the value of a definite integral is unity
$\int_{2}^{4} \frac{\sqrt{\log (9 - x)}}{\sqrt{\log (9 - x)} + \sqrt{\log (3 + x)}} d x = 1$

tonnithrkr 2022-04-30

How you you find the derivative $f (x) = x^{2}$ using First Principles?

Eileen Garza 2022-04-28

Limit $lim_{lim} i t s {x \to 0} {\frac{\tan {x} - \sin {x}}{x^{3}}}$
So what I tried is:
$lim_{x \to 0} \frac{\frac{\sin {x}}{\cos {x}} - \sin {x}}{x^{3}} = lim_{x \to 0} \frac{{\sin {x}} (\frac{1}{\cos x} - 1)}{x \cdot x^{2}}$
From here, using the rule $lim_{x \to 0} \frac{\sin {x}}{x} = 1$ it remains to evaluate
$lim_{x \to 0} \frac{\frac{1}{\cos {x}} - 1}{x^{2}}$

chingli20013a1 2022-04-28

Since
$lim_{n \Rightarrow \infty} {(1 + \frac{1}{n})}^{n} = {e}$

coraletsmmh 2022-04-27

Slope of a curve $y = x^{2} - 3$ at the point where x=1?

Abbigail Robles 2022-04-24

Per the title of this question, how does one go about calculating
$lim_{n \to \infty} \frac{1}{n^{2}} (\ln (\frac{2^{n}}{3^{n}}) + \ln (\frac{5^{n}}{4^{n}}) + \dots + \ln (\frac{{(3 n - 1)}^{n}}{{(n + 2)}^{n}}))$

Bronson Olson 2022-04-24

On what intervals the following equation is concave up, concave down and where it's inflection point is $(x, y) f (x) = x^{8} (\ln (x))$ ?

eszkortwxp 2022-04-24

My question is, how can I evaluate the following integral?
$\int \frac{1}{\sqrt[4]{1 + x^{4}}}$

Slade Higgins 2022-04-24

Integrate solution:
$\int {(\frac{\tan^{- 1} x}{x - \tan^{- 1} x})}^{2} d x$

esbagoar7kh 2022-04-24

In the equation $x^{2} + {(y - k)}^{2} = 16$ , for what values of K is this circle tangent to y = 3?

et3atissb 2022-04-24

If $y = x e^{- x}$ , what are the points of inflection of the graph f (x)?

broggesy9 2022-04-24

If $y = \frac{1}{1 + x^{2}}$ , what are the points of inflection of the graph f (x)?

Philip Ramirez 2022-04-23

On what interval is the function $\ln ((4 x^{2}) + 9)$ differentiable?

windpipe33u 2022-04-23

Is
$f (x) = - 2 x^{5} - 2 x^{3} - 12 x^{2} - 6 x + 1$ concave or convex at $x = - 1$ ?

znacimavjo 2022-04-23

If $y = 3 x^{5} - 5 x^{3}$ , what are the points of inflection of the graph f (x)?

Find the area of the region bounded by the graphs of the given equations. 𝑦 = 𝑥 2 − 3𝑥 + 3, 𝑦 = −𝑥 + 3

juniorychichoa70 2022-04-23

How to find instantaneous rate of change for $y = 4 x^{3} + 2 x - 3$ at x=2?

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