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Calculus

10/06/23

Calculus Homework

a) Find (f^-1)'(a).f(x)=x^3+3sinx+2cosx, a=2 b)lim x->infinity [ln(1+x^2)-ln(1+x)]

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Calculus Precalculus

10/06/23

Use implicit differentiation to find the derivative of: Write the solution of each number

10. sech2x + csch2y = 10ans. y' = tanh3x - tanh x / coth³y - coth y

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Calculus Precalculus

10/06/23

Find the derivative of the following functions: Write the solution of each number

5. y= ½tanh 2x + ⅔coth 3xans. y' = sech22x - 2csch23x6. y = sinh2 (3x2 – 1)ans. y' = 6xsinh(6x2 - 2)7. f(z) = Arctan (sinh 6z)ans. f'(z) = 6 sech 6z

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Calculus Precalculus

10/06/23

Use implicit differentiation to find the derivative y' of the following: Wrote the solution of each number

6.y2e2x + xy3 - 1=0ans. y' =y2 + 2ye2x/ 2e2x + 3xy

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Calculus Precalculus

10/06/23

Find the derivative of the following exponential functions: Write the solution of each number

2.y = x²e-xans. y' = xe-x(2 - x)3.f(z) = e²(sin z + cos z)ans. f'(z)= 2ez cos z

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Calculus Precalculus

10/06/23

Use implicit and/or logarithmic differentiation to find the derivative y' of: Write the solution of each number

9. x = ln(x+y+1)ans. y' = x + y

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Calculus Precalculus

10/06/23

Find the indicated nth derivative of the following. Write the solution of each number

7. 2nd derivative of y = In|cscθ - cotθ|ans. y" = - cscθ cotθ

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Calculus Precalculus

10/06/23

Find the derivative of the following function.Write the solution of each number

3.f(z) = In|cos5z|ans. f'(x)= -5 tan 5z6. y = In √tan x ans. y' = sec²x/2 tan x

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Calculus

10/06/23

Evaluate the indefinite integral

(a) Evaluate the indefinite integral ∫1/u(1+u) du Hint: 1/u(1 + u) = 1 + u − u /u(1 + u) .(b) Using a substitution, and your answer in part (a), evaluate the indefinite integral ∫ 1/(1+ e^x) dx

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Calculus

10/06/23

Find all values of a such that f is continuous on (−∞, ∞): 𝑓(𝑥) = { 𝑥 2 𝑥 ≤ 𝑎 2𝑥 + 1 𝑥 > 𝑎 •

Find all values of a such that f is continuous on (−∞, ∞): 𝑓(𝑥) = { 𝑥 2 𝑥 ≤ 𝑎 2𝑥 + 1 𝑥 > 𝑎 • You must use the requirements for continuity to solve, and make sure you explain why it is continuous... more

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Calculus Math

10/05/23

A Kite 60 feet above the ground moves horizontally at a speed of 7 ft/s. At what rate is the angle between the string and the ground decreasing when 120 feet of string is out?

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Calculus

10/05/23

Let ∫x 2 (t^2+19)/(t+1)dt Evaluate F(2)

Let ∫x 2 (t^2+19)/(t+1)dtEvaluate F(2) =

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Calculus

10/05/23

Calculate the upper sums Un and lower sums Ln , on a regular partition of the intervals, for the following integrals.

Calculate the upper sums Un and lower sums Ln, on a regular partition of the intervals, for the following integrals.(a) ∫7 1 (2−8x)dx(b) ∫1 0 (4+18x2)dx(c) ∫2 1 H(x−2)dx where H(x) is the... more

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Calculus

10/05/23

For each of the following sets, give the coordinates of two points P and Q which are in the set, but the line from P to Q goes outside the set.

In this question, we show that certain sets are not convex.For each of the following sets, give the coordinates of two points P and Q which are in the set, but the line from P to Q goes... more

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Calculus Precalculus

10/05/23

Find the width , in cm, of the poster with the SMALLEST total area.

The top and bottom margins of a poster are each 5 cm, and the side margins are each 3 cm. The area of the printed material on the poster is fixed at 85 cm2

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Calculus

10/05/23

Mat 3.5: Implicit Differentiation

Find an equation of the tangent line to the curve2(x^2+y^2)^2 = 25(x^2-y^2)(a lemniscate) at the point (3,1)An equation of the tangent line to the lemniscate at the given point is (blank).

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Calculus

10/05/23

Mat 3.5:Implicit Differentiation

x^3 + y^3 = 126. Find y''(x) at the point (5,1).

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Calculus

10/04/23

Derivative of Inverse Function Problem

For each of the given functions f(x), find the derivative (f^-1)'(c) at the given point c, first finding a=(f^-1)(c) f(x) = 4x+6x^13 c = -10 a= ? (f^-1)'(c) = ? f(x) = x^2-13x+65 on the... more

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Calculus

10/04/23

Calculus Homework

Let f(x)= cx+ ln(cos x). For what value of c is f'(pi/4)=1? c=

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Calculus Math Prealgebra

10/04/23

introductory algebra 2

What is the square root of d=t * square root of 4.9?

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Calculus

10/04/23

Mat Calc: 3.9 Related Rates

Water is leaking out of an inverted conical tank at a rate of 13300.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height... more

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Calculus Math Precalculus Sat Math

10/04/23

Calculus Helpp!!!!. Urgent ( review)

1) Suppose f(x), g(x), and h(x) are continuous functions such that g(−1)=5, h(−1)=3 and limx→−1 ((f(x))2 − 3g(x)/ 5h(x)))=14. If f(x) is an odd function with f(1) > 0, find f(−1).I got 15 but... more

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Calculus

10/04/23

Select all the statements that accurately complete the sentence about the continuity of the following function.

Select all the statements that accurately complete the sentence about the continuity of the following function.ƒ(x) = {cos x if x < 0} ex. if x ≥ 0The function ƒ.....? is continuous... more

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Calculus

10/04/23

Determine the points at which the function ƒ is discontinuous and state the type of discontinuity.

Suppose that f(x)= {sin(1/3x) for x ≠ 3} 0 for x = 3Determine the points at which the function ƒ is discontinuous and state the type of discontinuity.ƒ is discontinuous at x =... more

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Calculus

10/03/23

AP Calculus BC - Derivatives

If f(6+h) - f(6) = ah + bh2 + ch3, find f'(6) if possible.

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Calculus Homework

Use implicit differentiation to find the derivative of: Write the solution of each number

Find the derivative of the following functions: Write the solution of each number

Use implicit differentiation to find the derivative y' of the following: Wrote the solution of each number

Find the derivative of the following exponential functions: Write the solution of each number

Use implicit and/or logarithmic differentiation to find the derivative y' of: Write the solution of each number

Find the indicated nth derivative of the following. Write the solution of each number

Find the derivative of the following function.Write the solution of each number

Evaluate the indefinite integral

Find all values of a such that f is continuous on (−∞, ∞): 𝑓(𝑥) = { 𝑥 2 𝑥 ≤ 𝑎 2𝑥 + 1 𝑥 > 𝑎 •

A Kite 60 feet above the ground moves horizontally at a speed of 7 ft/s. At what rate is the angle between the string and the ground decreasing when 120 feet of string is out?

Let ∫x 2 (t^2+19)/(t+1)dt Evaluate F(2)

Calculate the upper sums Un and lower sums Ln , on a regular partition of the intervals, for the following integrals.

For each of the following sets, give the coordinates of two points P and Q which are in the set, but the line from P to Q goes outside the set.

Find the width , in cm, of the poster with the SMALLEST total area.

Mat 3.5: Implicit Differentiation

Mat 3.5:Implicit Differentiation

Derivative of Inverse Function Problem

Calculus Homework

introductory algebra 2

Mat Calc: 3.9 Related Rates

Calculus Helpp!!!!. Urgent ( review)

Select all the statements that accurately complete the sentence about the continuity of the following function.

Determine the points at which the function ƒ is discontinuous and state the type of discontinuity.

AP Calculus BC - Derivatives

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