Q:
Consider the indefinite integral \( \int x \cdot \sqrt[2]{x^{2}+6} d x \) :
This can be transformed into a basic integral by letting
\( u=\square \) and
\( d u=\square \)
Q:
A television production company charges a basic fee of \( \$ 7,000 \) and then \( \$ 4,000 \) an hour when filming a commercial.
(a) Write a linear equation that describes the relationship between the total production costs \( c \) and the hours \( h \) of filming.
(b) Use your answer to part (a) to find the production costs if a commercial required 9 hours of filming.
Q:
Complete the square of the given quadratic
expression. Then, graph the function using the technique
of shifting.
\( f(x)=x^{2}-6 x \)
Complete the square by entering the correct numbers into
the expression below.
\( f(x)=(x+\square)^{2}+\square \)
Q:
Evaluate the integral of the product of two functions:
\[ \int\left(2 x^{2} \cdot e^{x}\right) d x \]
Q:
TALASALITAAN Hanapin ang kahulugan ng mga salita. 1. talinghaga 4. alindog 7. manhik 5. ilanghap 8. inuyam 6. dumungaw 9. umpukan
Q:
The diameter of a circle measures 20 ft. What is the circumference of the circle?Use 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
Q:
You want to take out a \( \$ 299,000 \) mortgage (home loan). The interest rate on the loan is \( 5.4 \% \), and the loan
is for 30 years. Your monthly payments are \( \$ 1,678.98 \).
How much will still be owed after making payments for 5 years? \( \$ \)
How much will still be owed after making payments for 10 years?
How much will still be owed after making payments for 15 years?
Round your answers to the nearest dollar.
Q:
Evaluate the integral
by making the appropriate substitution: \( u=\square \frac{d x}{(2 x+2)^{4}} \),
\( \int \frac{d x}{(2 x+2)^{4}}=\square \)
Q:
L'uraninite, ou pechblende, est un minéral de formule
chimique \( \mathrm{UO}_{2} \). Les gisements d'uraninite sont datés
uniquement entre 3,5 et 2,2 milliards d'années. Its
sont utilisés notamment pour extraire l'uranium uti-
lisé dans l'industrie nucléaire civile et militaire. Ces
gisements se forment dans des milieux réducteurs,
c'est-à-dire en absence de dioxygène.
Question
Expliquer en quoi l'uraninite est un indice de
l'évolution de la teneur en dioxygène terrestre.
Q:
Evaluate the indefinite integral.
\( \int \frac{5}{(t+3)^{2}} d t \)
\( \square+C \)
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