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3 years ago

i am aware that this question uses second ftc, however, i keep getting the wrong answer. any guidance is appreciated.

Mathematics

1 answer:

Gnesinka [82]3 years ago

7 0

Answer:

C. 14

Step-by-step explanation:

F(x) = ∫₀²ˣ √(t³−15) dt

Use second fundamental theorem of calculus:

F'(x) = √((2x)³−15) d/dx (2x)

F'(x) = 2 √(8x³−15)

Evaluate at x=2:

F'(2) = 2 √(8×2³−15)

F'(2) = 2 √(64−15)

F'(2) = 2 √49

F'(2) = 14

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alexgriva [62]

Answer:

X=18

Step-by-step explanation:

(1/2)*x-7 = (1/3)*(x-12) // - (1/3)*(x-12)

(1/2)*x-((1/3)*(x-12))-7 = 0

(-1/3)*(x-12)+(1/2)*x-7 = 0

x/2-1/3*(x-12)-7 = 0

(-1/3*2*(x-12))/2+x/2+(-7*2)/2 = 0

x-1/3*2*(x-12)-7*2 = 0

1/3*x-14+8 = 0

1/3*x-6 = 0

(1/3*x-6)/2 = 0

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3 years ago

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2 years ago

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Semenov [28]

Answer:

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Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

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Which statement about the figure MUST be true? Select all that apply.

olga55 [171]

<h2>○=> <u>Correct options</u> :</h2><h2>□ $\color{plum}\tt\bold{(C) \: SR = 27}$ </h2><h2>□ $\color{plum}\tt\bold{(D) \: QR = 54 }$ </h2><h3><u>Steps to derive the correct options</u> :</h3>

Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.

Which means :

▪︎Angle S = Angle S

▪︎PS = PS

▪︎QS = RS

Given :

Measure of segment QS = 6n+3

Measure of segment RS = 4n+11

Thus :

$= \tt6n + 3 = 4n + 11$