Solve Integral Calculus Problems with Ease

College
Calculus and Analysis
Integral Calculus

Evaluate the double integral that will find the volume of a solid bounded by z=1-2y^2-3x^2 and the xy-plane.

Lily D2022-06-03

Reginald Hanna 2022-06-03

What is the polar form of $(- 4, 32)$ ?

Marlie Cole 2022-06-03

How do you find the parametric equations for the tangent line to the curve $x = t^{4} - 1$ , $y = t^{2} + 1$ , $z = t^{3}$ at the point (15, 5, 8)?

oplodnjomqunfs 2022-06-03

What is the distance between the following polar coordinates?:
$(5, \frac{3 π}{4}), (3, \frac{11 π}{8})$

Tananiajtac2 2022-06-03

Approximate $\int_{0}^{1} \sqrt{2 - x^{2}} d x$ using the trapezoidal and simpson's rule for $4$ intervals.
Now we can determine the simpson rule is
$\frac{h}{3} (f (x_{0}) + 4 f (x_{1}) + 2 f (x_{2}) + 4 f (x_{3}) + f (x_{4}))$
and the trapezoidal rule is
$\frac{h}{2} (f (x_{0}) + 2 f (x_{1}) + 2 f (x_{2}) + 2 f (x_{3}) + f (x_{4}))$
and $h = \frac{b - a}{n}$ which I assume is $\frac{1 - 0}{4}$
but how we add it all together?

Warren Leach 2022-06-03

I have been given a system:
$y^{'} = A y, y \in R^{d}, A \in R$
for this, I believe I should use this formula for the "upper bound" on the truncation error:
$\frac{1}{2} h^{2} y^{″} (ξ_{j}), t_{j} \leq ξ_{j} \leq t_{j} + h$
However, I am having trouble wrapping my head around what exactly $y^{″} (ξ_{j})$ is. Is it $\frac{d^{2} y}{d t^{2}}$ , and how do I find this?

Lily D2022-06-03

hanglutuupx6 2022-06-02

Added angle formula to solve this indefinite integral $\int \frac{2 \cos x - \sin x}{3 \sin x + 5 \cos x} d x$

Amirah Hayden 2022-06-02

What is the polar form of $(- 4, - 2)$ ?

Scott Johnston 2022-06-02

Let $f : [a, b] \to R$ be monotone increasing, $F : [a, b] \to R$ such that $F (x) := \int_{[a, x]} f$ and $x_{0} \in [a, b]$ . Then $F$ is differentiable at $x_{0}$ if and only if $f$ is continuous at $x_{0}$

Lounh Raksa2022-06-01

Imani Bentley 2022-06-01

What is the relation between Lagrange interpolation and Simpson's rule to integrate some function with some points $x_{0}, f (x_{0})$ ; ... $x_{n}, f (x_{n})$ ?

Jenna Beasley 2022-06-01

Calculate $\int_{- \infty}^{\infty} \frac{d x}{\sqrt{1 + x^{4}}} x \sin [n π ϕ (x)]$ ; $ϕ (x) \propto \int_{0}^{x} \frac{d y}{\sqrt{1 + y^{4}}}$

Scolfaro2y 2022-05-30

What is the polar form of $(1, - 18) ?$

hushjelpw4 2022-05-30

What is the distance between the following polar coordinates?:
$(2, \frac{3 π}{4}), (1, \frac{15 π}{8})$

Rachel Villa 2022-05-29

Evaluate the definite integral using trig. sub $\int \frac{x^{3}}{\sqrt{9 - x^{2}}} d x$

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