Precalculus Solutions | Expert Assistance for Problems & Examples

integrate f over the given region f(s,t)=e^sln t over the region in the first quadrant of the st-plane that lies above the curve s=ln t from t=1 to t=2

Prove k<2^k for all positive integers k through the proces of mathematical induction.

stop2dance3l 2021-12-14

Projection of u onto v and v onto u
Given the vector $u = < - 2, 6, 4 >$ and a vector v such that the vector projection of u onto v is $< 2, 4, 4 >$ , and the vector projection of v onto u is $< - 8, 24, 16 >$ . What is the vector v?
Let $\vec{v} = < a, b, c >$
Projection of $\vec{v} o n \to \vec{u}$ is given by:
$p r o j_{u} v = \frac{\vec{u} . \vec{v}}{{| u |}^{2}} \vec{u} = \frac{\vec{u} . \vec{v}}{{(- 2)}^{2} + 6^{2} + 4^{2}} < - 2, 6, 4 >$
$< - 8, 24, 16 \geq \frac{\vec{u} . \vec{v}}{{(- 2)}^{2} + 6^{2} + 4^{2}} < - 2, 6, 4 >$
$\Rightarrow 4 < - 2, 6, 4 \geq \frac{\vec{u} . \vec{v}}{4 + 36 + 16} < - 2, 6, 4 >$
$\Rightarrow < - 2, 6, 4 \geq \frac{\vec{u} . \vec{v}}{224} < - 2, 6, 4 >$
On comparing $\frac{\vec{u} . \vec{v}}{224} = 1$
$\Rightarrow \vec{u} . \vec{v} = 224$
$p r o j_{v} u = \frac{\vec{u} . \vec{v}}{{| v |}^{2}} \vec{v} = \frac{224}{{| v |}^{2}} < a, b, c >$
$\Rightarrow < 2, 4, 4 \geq \frac{224}{{| v |}^{2}} < a, b, c >$
Dividing both sides by 2 we get:
$\Rightarrow < 1, 2, 2 \geq \frac{112}{{| v |}^{2}} < a, b, c >$

Ernest Ryland 2021-12-14

Binomial expansion of ${(1 - x)}^{n}$
Weve

quiquenobi2v6 2021-12-14

Choose a number X at random from the set of numbers ${1, 2, 3, 4, 5}$ . Now choose a number at random from the subset no larger than X, that is, from ${1, \dots, X}$ . Call this second number Y.
a) Find the joint mass function of X and Y.
b) Find the conditional mass function of X given that Y=i. Do it for i=1, 2, 3, 4, 5.
с) Are X and Y independent? Why?

hvacwk 2021-12-14

Find the third degree Taylor polynomial for $f (x) = \ln x$ , centered at $a = 2$ ?

Helen Lewis 2021-12-14

Write a polynomial in standard form, then classify it by degree and number of terms $3 x^{2} - 6 x^{4} + 2 + 4 x$

compagnia04 2021-12-14

Integral Calculus: Trigonometry and Inverse Trigonometry. Evuate the following.
$\int \frac{\cos^{5} 3 z d z}{\sin^{2} 3 z}$

A population of values has a normal distribution with μ=97μ=97 and σ=12.9σ=12.9. You intend to draw a random sample of size n=250n=250.

a.) Find the probability that a single randomly selected value is less than 94.8.
P(X < 94.8)

Mary Hammonds 2021-12-13

Trigonometry, and Inverse Trigonometry
$\int \frac{d θ}{\sqrt{15 + 4 θ - 4 θ^{2}}}$

Danelle Albright 2021-12-13

Find the quotient $\frac{z_{1}}{z_{2}}$ of the complex numbers
$z_{1} = 50 (\cos \frac{4 π}{3} + i \sin \frac{4 π}{3})$ and
$z_{2} = 5 (\cos \frac{π}{3} + i \sin \frac{π}{3})$
Leave the answer in polar form.

zagonek34 2021-12-13

How do you find the Maclaurin series of $f (x) = \ln (1 + x) ?$

Talamancoeb 2021-12-13

What is $15 x^{2} + 17 x + 4 = 0$ in factor form?

Ikunupe6v 2021-12-13

Solve $5 x^{3} - 3 x^{2} - 20 x + 12 = 0$

Monique Slaughter 2021-12-12

Find the taylor expansion of $\ln (1 - x)$ about $x = 0$

Shirley Thompson 2021-12-12

Prove that $e^{- i x} = \cos (x) - i \sin (x)$

Sandra Allison 2021-12-11

What is the difference between fourier transformation and fourier series?

Precalculus problems and solutions are hard to find online even though this topic is quite popular among college students majoring in Engineering. Keeping this fact in mind, we decided to provide you with a list of questions and answers that will help you with various precalculus problems. Regardless if it is related to equations or any other problem, these precalculus problems and composite functions examples and solutions below will help you see the logic and compare solutions as you check your original task.

Precalculus