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tensa zangetsu [6.8K]

3 years ago

15

If dy/dx = X2 + 4, What is the value of y?

1 answer:

uranmaximum [27]3 years ago

6 0

Antideritiive
antideritive of $x^n$ is $\frac{x^{n+1}}{n+1}$
antiderititve of a constant is that constant times x
so

antideritive of $x^2$ is $\frac{x^{2+1}}{2+1}=\frac{x^{3}}{3}$
andtideritivee of 4 is 4x

total is
$y= \frac{x^3}{3}+4x+C$

D is answer

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Answer:

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Step-by-step explanation:

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16x = 112

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3 years ago

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tankabanditka [31]

Answer:

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

Step-by-step explanation:

Given

$BC =24$

$AC = 7$

Required

Select Yes or No for the given options

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

Considering the sine of angle B, we have:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{7}{AB}$

Make AB, the subject

$AB = \frac{7}{\sin(B)}$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

Considering the cosine of angle B, we have:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

$AB = \frac{24}{\cos(B)}$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

Considering the cosine of angle B, we have:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

$AB = \frac{7}{\cos(A)}$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

<em>This has been shown in (c) above</em>

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Answer:

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Step-by-step explanation:

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