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3 years ago

Evaluate the expression 2ab3 + 6a3 - 4ab2 when a = 2 and b = 4.

Mathematics

2 answers:

evablogger [386]3 years ago

7 0

2(2)(4)3+6(2)3-4(2)(4)2
48 + 36 - 64
74 - 64
= 10

nalin [4]3 years ago

3 0

2(2x4)3 + 6(2)3 - 4(2x4)2
(4x8)3 + (12)3 - (8x16)2
(32)3 + (12)3 - (128)2
96 + 36 - 256
-124

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If 2y=x³ + 2x², find dy/dx when x=2.

scZoUnD [109]

Answer:

Step-by-step explanation:

$\boxed{\textsf{If }y=x^n,\: \textsf{then }\dfrac{\text{d}y}{\text{d}x}=nx^{n-1}}$

<u>Given equation</u>:

$2y=x^3+2x^2$

Isolate y by dividing both sides by 2:

$\implies y=\dfrac{1}{2}x^3+x^2$

Differentiate with respect to x:

$\implies \dfrac{\text{d}y}{\text{d}x}=3 \cdot \dfrac{1}{2}x^{3-1}+2 \cdot x^{2-1}$

$\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{3}{2}x^2+2x$

Finally, substitute x = 2 into the differentiated equation:

$\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =\dfrac{3}{2}(2)^2+2(2)\\\\ & = \dfrac{3}{2}(4)+4\\\\ & = \dfrac{12}{2}+4\\\\ & = 6+4\\\\ & = 10\end{aligned}$

Learn more about differentiation here:

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5 0

2 years ago

BEST ANSWER GET TO BE BRAINLYEST+82pts

Paha777 [63]

d im pretty sure

hope this helps

3 0

3 years ago

Divide the sum of 7/9 and 2/3 by 5/3

xeze [42]

Answer:13/15

Step-by-step explanation:

Add 7/9 and 2/3 the answer is 13/9 then divide it by 5/3 in order for you to divide get the reciprocal of 5/3 which is 3/5 then multiply it and you well get 13/15

3 0

3 years ago

Read 2 more answers

Help ASAP

Tema [17]

Answer:

Step-by-step explanation:

PEMDAS

-(4-5)^3+1

-(-1)^3+1

-(-1)+1

1+1

4 0

3 years ago

Can someone answer this

Dmitry_Shevchenko [17]

Answer:

the appropriate choice is the last one

Step-by-step explanation:

$7^{\frac{4}{5}}=(7^4)^{\frac{1}{5}}=\sqrt[5]{7^4}$

This is equivalent to b^(pq) with b=7, p=4, q=1/5. Here, q is a rational number, as suggested by the last answer choice.

5 0

3 years ago