Sample Calculus Problems: Get College Ready!

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Calculus and Analysis

Recent questions in Calculus and Analysis

Brennan Flores 2021-08-20

Graph the sets of points whose polar coordinates satisfy the equations and inequalities r = 2

emancipezN 2021-08-20

Evaluate the improper integral or explain that it is divergent.

Tolnaio 2021-08-19

Graph the sets pf points whose polar coordinates satisfy the equations and inequalities $θ = \frac{π}{2}, r \geq 0$

Isa Trevino 2021-08-19

Integrate $\int \arctan (2 θ) d θ$

tricotasu 2021-08-19

Explain how to find the value of sin $390^{\circ}$ using periodic properties.

e1s2kat26 2021-08-19

A curve is given by the following parametric equations. $x = 20 \cos t, y = 10 \sin t$ .
The parametric equations are used to represent the location of a car going around the racetrack.
a) What is the cartesian equation that represents the race track the car is traveling on?
b) What parametric equations would we use to make the car go 3 times faster on the same track?
c) What parametric equations would we use to make the car go half as fast on the same track?

bobbie71G 2021-08-19

The estimated regression equation for a model ivolving two independent variables and 10 observations follows.
$\hat{y} = 33.2566 + 0.7625 x_{1} + 0.2507 x_{2}$
a) Interpret $b_{1}$ and $b_{2}$ in this estimated regression equation (to 4 decimals).
b) Estimate y when $x_{1} = 180$ and $x_{2} = 310$ (to 3 decimals)

ruigE 2021-08-18

If $a, b, c, d$ are in continued properties, prove that
$\frac{{(a - b)}^{3}}{{(b - c)}^{3}} = \frac{a}{d}$

Joni Kenny 2021-08-18

Find $\int 2 x^{3} \cos (x^{2}) d x$

Trent Carpenter 2021-08-17

To solve: The linear equation
$0.65 x + 0.3 x = x - 3$

Maiclubk 2021-08-17

$\int 6 x^{2} {(x^{3} + 2)}^{99} d x$

FizeauV 2021-08-17

Explain how to find the value of $\cos (- 45^{\circ})$ using even-odd properties.

Dolly Robinson 2021-08-17

Expand using logarithmic properties. Where possible, evaluate logarithmic expressions.
$\log_{5} (\frac{x^{3} \sqrt{y}}{125})$

Maiclubk 2021-08-17

Determine whether the following series converge or diverge using the properties.
$\sum_{k = 0}^{\infty} \frac{10}{k^{2} + 9}$

vazelinahS 2021-08-16

To find: Find the value of x for the provided equation $0.92 + 0.9 (x - 0.3) = 2 x - 5.95$ .

permaneceerc 2021-08-16

To solve: The linear equation $0.4 w = 12$

fortdefruitI 2021-08-16

Designer functions Design a sine function with the given properties. NKS It has a period of 12 hr with a minimum value of $- 4$ at $t = 0$ hr and a maximum value of 4 at $t = 6$ hr.

Albarellak 2021-08-16

Let C be the curve described by the parametric equations x(t)= t, y(t) = $t^{3}$
a) sketch a graph of C
b) find the vector-valued function f(t) associated with this parameterization of the curve C.

aflacatn 2021-08-16

Is it true that the equations r=8, $x^{2} + y^{2} = 64$ , and $x = 8 \sin (3 t), y = 8 \cos (3 t) (0 \leq t \leq 2 π)$ all have the same graph.

Brennan Flores 2021-08-15

Evaluate the following iterated integrals.
$\int_{1}^{e} \int_{0}^{1} 4 (p + q) \ln q d p d q$

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Calculus and Analysis

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