Mark M.

Calculus

03/07/24

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

g(s) =8 --)S (t-t^4)^9 dtg'(s) = ?

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Calculus

03/07/24

A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box that minimize the amount of material used.

side of base = ___cmheight = ____cm

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Calculus

03/06/24

Finding dy/dx and the equation of the tangent line

Given the equation below, find dy/dx.-7x^7+3x^28 y+y^4=-3*Hint the x^28 are separate from the y so the y isn't included in the exponent.*dy/dx=Now, find the equation of the tangent line to the... more

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Math Calculus

03/06/24

Evaluate the Trig integral. Show All Steps

Evaluate the Trig integral. Show All Steps. If possible can you attach a video going through it.

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Calculus

03/05/24

I have 2 questions for calculus homework, need the answers please, I am on my last attempt for submitting

Question 1: Find the high-order derivative. f"(x) = 4 √ x-6,Radical is over x-6^^^f^(5)(x) = ___________ Question 2: f(x) = (x + 2)(x − 2)(x + 7)(x − 7)f"(x) = 12x^2-106Solve the equation f''(x) =... more

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Calculus

03/05/24

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y^2(y2 − 4) = x^2(x^2 − 5). (0, −2) (devils curve)

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Calculus

03/05/24

urgent!! help please

integral 0 to sqrt 3 of x^3/sqrt (4-x^2) dx please show all steps to evaluate this integral

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Precalculus

03/05/24

Find the coefficient a of the term in the expansion of the binomial.

Find the coefficient a of the term in the expansion of the binomialBinomial (z4-t)11 Term az16 t7

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Calculus

03/04/24

Evaluate the following integral

∫1/(4+t2)dt

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Calculus

03/04/24

Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).]

e (raised to the exponent) 5 radical xg(x), f(u) = ?Find the derivate dy/dx = ?

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Calculus

03/04/24

If f(x) = 6e^x cos(x), find f '(x) and f ''(x).

Find F'(x) and F''(x)

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Answers •2

Calculus

03/04/24

Given integral, find derivative. Help please!

If f(x) = ∫ [from 3 to x7+8x4+6] cos(t)dtthen f'(x) = ?Could someone please help me understand the steps required to solve this? Thanks so much!

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Trigonometry

03/04/24

What's the real solution of x^4-6x^3+22x+15

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Calculus

03/02/24

Leave your answer in algebra form.

(1) What is the area below y=−x2+4 and above the x-axis?(2)The position of a particle is represented by f(t) = 4t3 – 3t + 15What is its instantaneous velocity at time t = 3?

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Calculus

03/01/24

Complex Number Question

Solve for θ [such as in the polar form reiθ] in (cos(-2pi/9) + isin(-2pi/9))^3.

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Calculus

03/01/24

At what exact point on the curve y = 6 + 2ex − 6x is the tangent line parallel to the line 6x − y = 7?

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Answers •2

Calculus

03/01/24

Complex Number Question: Write the given number in the polar form reiθ, -−π<θ≤π.

Write the given number in the polar form reiθ, -−π<θ≤π.(6 - 6i)/(-sqrt(3) + i)

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Math Algebra 1

02/29/24

Algebra and reasoning

some students on a cross country team attend an outdoor adventure activity with chaperones. the admission cost is $10 for each student and $15 for each chaperone. three students are assigned to... more

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Math Calculus

02/29/24

Evaluate the Integral (using Integration By Parts)

Evaluate the Integral (using Integration By Parts). Show a step by step solution. If possible could you make a video to go through the problem? the final answer is \frac{2\sqrt{3}\ln... more

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Calculus

02/27/24

AP Calculus BC - Mixing Problem

A 1400 gallon tank initially contains 600 gallons of water with 4 lbs of salt dissolved in it. Water with a salt concentration of 2 lbs/gallon enters the tank at a rate of 10 gal/h, while the... more

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Trigonometry

02/26/24