Sample Calculus Problems: Get College Ready!

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Calculus and Analysis

Recent questions in Calculus and Analysis

Kye 2020-11-09

solve the Differential equations $y + 10 y + 25 y = 0$

tabita57i 2020-11-09

Evaluate the integral.
$\int \frac{x^{2} - 1}{x^{2}} d x$

emancipezN 2020-11-09

Use Laplace transform to evaluate the integral
$\int_{0}^{\infty} t e^{- 2 t} \sin (2 t) d t$
a) $\frac{1}{B}$
b) not defined
c) $\frac{4 s}{(s^{2} + 4)^{2}}$
d) $\frac{4 (s + 2)}{(s^{2} + 4 s + 8)^{2}}$

postillan4 2020-11-09

Solve for the general solution of the given special second-ordered differential equation
$x y^{″} + x (y^{'})^{2} - y^{'} = 0$

Rivka Thorpe 2020-11-09

Let $y_{1}$ and $y_{2}$ be solution of a second order homogeneous linear differential equation $y^{″} + p (x) y^{'} + q (x) = 0$ , in R. Suppose that $y_{1} (x) + y_{2} (x) = e^{- x}$ ,
$W [y_{1} (x), y_{2} (x)] = e^{x}$ , where $W [y_{1}, y_{2}]$ is the Wro
ian of $y_{1}$ and $y_{2}$ .
Find p(x), q(x) and the general form of $y_{1}$ and $y_{2}$ .

Line 2020-11-08

How to solve this equation $y - 4 y + 2 y - 16 y = 4 x + 1$ using Method of Undetermined Coefficient, Variation of Parameters and Laplace Transformation

Reeves 2020-11-08

Evaluate the integral $\int \frac{\cos (1 - \ln (y))}{y} d y$

Rivka Thorpe 2020-11-08

What are improper integrals?

Jaya Legge 2020-11-08

Use Green's Theorem to find $\int_{C} \vec{F} \cdot d \vec{r}$ where $\vec{F} = ⟨ y^{3}, - x^{3} ⟩$ and C is the circle $x^{2} + y^{2} = 3$ .

djeljenike 2020-11-08

Divergence Theorem for more general regions Use the Divergence Theorem to compute the net outward flux of the following vector fields across the boundary of the given regions D.
$F = ⟨ z - x, x - y, 2 y - z ⟩$ , D is the region between the spheres of radius 2 and 4 centered at the origin.

ka1leE 2020-11-08

Derivatives of power and constant functions Evaluate the following derivatives.
$\frac{d}{d x} (x^{9})$

Isa Trevino 2020-11-08

Find derivatives of the functions defined as follows. $y = 4^{(- 5 x + 2)}$

Caelan 2020-11-08

Given the function ${\begin{cases} e^{- t} & if 0 \leq t < 2 \\ 0 & if 2 \leq t \end{cases}$
Express f(t) in terms of the shifted unit step function u(t -a)
F(t) - ?
Now find the Laplace transform F(s) of f(t)
F(s) - ?

Kaycee Roche 2020-11-08

Find the solution of the Differentional equation by using Laplace Transformation
$2 y^{'} - 3 y = e^{2 t}, y (0) = 1$
$y " + y = t, y (0) = 0 a n d y^{'} (0) = 2$

CoormaBak9 2020-11-08

The Laplace transform of the product of two functions is the product of the Laplace transforms of each given function. True of False?

tinfoQ 2020-11-08

A true statement by inserting a symbol $<, > or =$ between the given numbers $0.58 \overset{―}{3} and \frac{6}{11}$

Khaleesi Herbert 2020-11-08

A true statement by inserting a symbol $<, > or =$ between the given numbers 7.123 and $\frac{456}{64} .$

sjeikdom0 2020-11-08

The values of x that satisfy the equation with rational exponents ${(x + 5)}^{\frac{3}{2}} = 8$ and check all the proposed solutions.

texelaare 2020-11-08

Make and solve the given equation $x'' - x' = 6 + e^{2} t$

Khaleesi Herbert 2020-11-08

Solve differential equation $x y^{'} = (1 - y^{2})^{\frac{1}{2}}$

College calculus is one of the most frequent subjects that you may encounter. There are certain equations that will sound cryptic as you are looking for answers. The majority of college calculus problems will look odd only because they are not applied to a real-life situation. Take a look at your questions and compare them with the answers that we have presented for you. By doing so, you will approach college-level calculus differently as we have amazing online college calculus samples. If things still seem challenging to you, our college calculus help below will provide you with more understanding.

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