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2 years ago

Help me find the 11th term of this sequence pls

Mathematics

1 answer:

ozzi2 years ago

5 0

Answer:

3 4 lock your door 56

Step-by-step explanation:

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Find the derivative of the following. please show the steps when you answer :1) f(x) = 8xe^x2) y= 5xe^x^43) f(x)= x^8+5/x4) f(t)

borishaifa [10]

Answer:

Since,

$\frac{d}{dx}x^n = nx^{n-1}$

$\frac{d}{dx}(f(x).g(x)) = f(x).\frac{d}{dx}(g(x)) + g(x).\frac{d}{dx}(f(x))$

$\frac{d}{dx}(\frac{f(x)}{g(x)})=\frac{g(x).f'(x) - f(x) g'(x)}{(g(x))^2}$

1) $y = 8x e^x$

Differentiating with respect to x,

$\frac{dy}{dx}=8( x \times e^x + e^x) = 8(xe^x + e^x) = 8e^x(x+1)$

2) $y = 5x e^{x^4}$

Differentiating w. r. t x,

$\frac{dy}{dx}=5(x\times 4x^3 e^{x^4}+e^{x^4})=5e^{x^4}(4x^4+1)$

3) $y = x^8 + \frac{5}{x^4}$

Differentiating w. r. t. x,

$\frac{dy}{dx}=8x^7 - \frac{5}{x^5}\times 4 = 8x^7 - \frac{20}{x^5}=\frac{8x^{12}-20}{x^5}$

4) $f(t) = te^{11}-6t^5$

Differentiating w. r. t. t,

$f'(t) = e^{11} - 30t^4$

5) $g(p) = p\ln(2p+3)$

Differentiating w. r. t. p,

$g'(p) = p\frac{1}{2p+3}(2) + \ln(2p+3) = \frac{2p}{2p+3}+\ln(2p+3)$

6) $z = (te^{6t}+e^{5t})^7$

Differentiating w. r. t. t,

$\frac{dz}{dt}=7(te^{6t}+e^{5t})^6 ( 6te^{6t}+e^{6t} + 5e^{5t})$

7) $w =\frac{2y + y^2}{7+y}$

Differentiating w. r. t. y,

$\frac{dw}{dy} = \frac{(7+y)(2+2y)-(2y+y^2)}{(7+y)^2} = \frac{14 + 2y + 14y +2y^2 - 2y - y^2}{(7+y)^2}=\frac{14+14y+y^2}{(7+y)^2}$

7 0

3 years ago

What is the sum of the finite arithmetic series (-5)+0+5+10+ ......+65

Alex17521 [72]

If you want to solve this problem using formulas, there are two important formulas:

t1 = first term = -5

tn = nth term = last term = -5

n = numbr of terms

Sn = sum of the n terms

tn = t1 + (n - 1)d ---> 65 = -5 + (n - 1)(5)

65 = -5 + 5n - 5

65 = -10 + 5n

75 = 5n

n = 15

Sn = n(t1 + tn)/2 ---> Sn = 15(-5 + 65)/2

Sn = 450

So ur answer rounds up to 450

Letter c

hope i helped

~Luis

5 0

2 years ago

What is the domain and range and function ??? Then can u explain how u did it please and thank you

enot [183]

The domain is
$- 10 \leqslant x \leqslant 10$
and the range is
$- 5 \leqslant y \leqslant 5$
Domain is x values (horizontal axis), while range is y values (vertical axis). On a line like this one, domain is calculated from the left most point to the right most, while range is calculated from the down most to the upmost.
Because this line is a solid line rather than a dotted line, less than or equal to
$\leqslant$
signs are used rather than just
$<$
less than signs.

6 0

3 years ago

A party rental company chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $105. The total cost to read

Luden [163]

Answer:

Step-by-step explanation:

2c+12t=105, and 5c+3t=33, subtracting 4 times the second from the first gives you

2c+12t-20c-12t=105-132

-18c=-27 dividing each side by -18

c=1.5, making 2c+12t=105 become

2(1.5)+12t=105

12t=102

t=8.5

So each chair costs $1.50 and each table costs $8.50

7 0

2 years ago

Solve this equation for x in terms of y and z:

Alex Ar [27]

3y = 3 * 9 = 27
4z = 4 * -12 = -48
: -48 + 27 = -21
: -21 + x = 24
: X = 45.
I hope that makes sense.

4 0

2 years ago

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