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konstantin123 [22]
3 years ago
6

Can anyone solve part C?​

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
4 0
It going to be y- 7= 4 (x-35)
nlexa [21]3 years ago
3 0

Answer:

y - 7 = 4(x - 35)

Step-by-step explanation:

The fundamental theorem of calculus states that:

\frac{d}{dx} \int\limits^x_a {f(t)} \, dt = f(x).

So using the fundamental theorem of calculus, you can find that h'(x) = f(x).

The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.

Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.

The slope of h(x) at x = 35 is 4.

Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.

The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.

Now use the point-slope formula to write the equation of the tangent line.

The answer is <u>y - 7 = 4(x - 35)</u>

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The variable z is directly proportional to x. When x is 11, z has the value 44. What is the value of z when x = 21?
dimulka [17.4K]

Directly proportional, both increase/decrease, Multiple k(constant you needed to solve for)..

Inversely --one increases as the other decreases, increase the denominator & fraction gets smaller.... So

Problem:

Dirextly to X (× by X)

Inversely to Y, (÷ by Y)

Z= k X/Y

Solve, working backwards: Z =5 becomes

5 = k (X) ÷ (Y). And

X=15 and Y =9 becomes

5= k(15)/(9). Undo ÷9, ×9 both sides

45= k(15). Now undo ×15 by ÷15 both sides

45/15 = 3. So k=3, (also called your constant of variation)....and your Equation/Proportion becomes...

Z = 3X/Y

Use the new #s.... X=23, Y=14

Z= 3×23÷14 = 69/14. If they want spirochete answer divide and round to corresponding # if decimals

4 0
2 years ago
If (x)= 2x square minus 1,then f(-3)
viva [34]

Answer:

17.

Step-by-step explanation:

f(x) = 2x^2 - 1

f(-3) = 2(-3)^2 - 1

= 2 * 9 - 1

= 18 - 1

= 17

Hope this helps!

4 0
2 years ago
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What is the slope of the line​
Maurinko [17]

Answer:

y2-y1/x2-x1

Step-by-step explanation:

3 0
3 years ago
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If the interest earned by a CD is compounded continuously, which rule is most accurate when calculating how long it will take th
malfutka [58]
For an investment compounded continuously, the rule of 69 gives a better approximation than the rule of 72 (for normal compound interests).
7 0
3 years ago
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Y is directly proportional to x,<br> and y = 45 when x = $600...<br> Find y if x = $1000.
Paul [167]

Answer:

The Answer is: 75.

Step-by-step explanation:

Set up the equation:

45 / 600 = y / 1000

600y = 45 * 1000

600y = 45000

y = 45,000 / 600 = 75.

5 0
3 years ago
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