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blagie [28]
3 years ago
14

Find the derivative of f(x) = 4x + 7 at x = 5.(2 points)

Mathematics
1 answer:
Sveta_85 [38]3 years ago
5 0

Answer:

x=4x+7=

x=5=

Step-by-step explanation:

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What is the area of a rectangle if the length is (4x + 2) cm and a width of (5x – 3) cm
KiRa [710]

Answer:

20x^2−2x−6

Step-by-step explanation:

(4x+2)(5x+−3)

=(4x)(5x)+(4x)(−3)+(2)(5x)+(2)(−3)

=20x2−12x+10x−6

=20x2−2x−6

4 0
2 years ago
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Isabella earns interest at an annual rate of 10% compounded annually on her savings account. She deposits $2,000 into her accoun
Alex Ar [27]
2420 after two years.

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4 0
2 years ago
Which of the following is an eqvalent function to f(x)=4(5)^2x
gavmur [86]

Answer:

f(x)=100x

Step-by-step explanation:

4 0
2 years ago
Is the binomial a factor of the polynomial function? f(x)=x3+2x2−16x−32
goblinko [34]
Since it is x^3 cubed it has 3 maximum roots
by the zero multiplication property of function
if you plug find a root then you can deduce it is a factor in other words if f(x)=(x-a)(x-b)
then f(a)=0 and f(b)=0
so
f(2)=8+8-32-32= -48 therefore it is not a factor
f(-2)=-8+8+32-32=0 hence it is a factor
f(4)=64+32-64-32=0 it is a factor
f(-4)=-64+32+64-32=0 it is a factor
f(-6) it is not a factor via the fundmental therom of algebra
f(x)=(x+2)(x-4)(x+4)
=(x^2-16)(x+2)=x^3+2x^2-16x-32 which checks our work
8 0
3 years ago
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Find the indefinite integrals, if possible, using the formulas and techniques you have studied so far in the text.(a) 11 x4 dxTh
hoa [83]

Answer:

a) This integral can be evaluated using the basic integration rules. \int 11x^{4}dx = \frac{11}{5} x^{5}+C

b) This integral can be evaluated using the basic integration rules. \int 8x^{1}x^{4}dx=\frac{4}{3}x^{6}+C

c) This integral can be evaluated using the basic integration rules. \int 3x^{31}x^{4}dx=\frac{x^{36}}{12}+C

Step-by-step explanation:

a) \int 11x^{4}dx

In order to solve this problem, we can directly make use of the power rule of integration, which looks like this:

\int kx^{n}=k\frac{x^{n+1}}{n+1}+C

so in this case we would get:

\int 11x^{4}dx=11 \frac{x^{4+1}}{4+1}+C

\int 11x^{4}dx=11 \frac{x^{5}}{5}+C

b) \int 8x^{1}x^{4}dx

In order to solve this problem we just need to use some algebra to simplify it. By using power rules, we get that:

\int 8x^{1}x^{4}dx=\int 8x^{1+4}dx=\int 8x^{5}dx

So we can now use the power rule of integration:

\int 8x^{5}dx=\frac{8}{5+1}x^{5+1}+C

\int 8x^{5}dx=\frac{8}{6}x^{6}+C

\int 8x^{5}dx=\frac{4}{3}x^{6}+C

c) The same applies to this problem:

\int 3x^{31}x^{4}dx=\int 3x^{31+4}dx=\int 3x^{35}dx

and now we can use the power rule of integration:

\int 3x^{35}dx=\frac{3x^{35+1}}{35+1}+C

\int 3x^{35}dx=\frac{3x^{36}}{36}+C

\int 3x^{35}dx=\frac{x^{36}}{12}+C

6 0
3 years ago
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