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Calculus Math

01/15/24

Relative Extrema of a Function

(No calculator allowed)Find the locations and types of all relative extrema for the function, f(x) = 2x3+4x2-8x-11. Remember to explain in the most concise and precise way possible.A) f(x) has a... more

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Calculus

01/15/24

Height and fall of a ball

A person standing close to the edge on top of a 48-foot building throws a ball vertically upward. The quadratic function ℎ(t)=-16t^2+52t+48 models the ball's height about the ground, ℎ(t), in... more

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Calculus Math

01/15/24

Is the Extrema Global or Local?

(Calculator allowed)Is there a global minimum, a local minimum, both, or neither on the function f(x) = 4(x-1)4+2x2-3 at x = 0.5?

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Calculus

01/14/24

Calculus Moose Question

In 1994, the moose population in a park was measured to be 3660. By 1997, the population was measured again to be 4320. If the population continues to change linearly: Find a formula for the moose... more

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Calculus Precalculus

01/14/24

Update on assignment: HW3 Regression back

Update I have completed 1-9 once again could someone confirm if it is right for 1-9, also could I get help on 10-12 I'm not understanding what my instructions are for 11-12.1.) Use your judgment to... more

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Calculus

01/12/24

Consider the curve f(x) = 4 - x^2 (Riemann sum and definite integrals)

1) Write (without evaluating) a definite integral that gives the exact signed area under the curve between x = -2 and x = 1.2) Write (without evaluating) an expression for the exact area under the... more

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Calculus Math

01/12/24

How do I solve the following limit?

lim sin(x)^x x→0+ For some context I'm in AP Calculus AB and I just covered L'Hopital's Rule, so I'm allowed to use it where applicable. I've tried using trig identities and logarithms to... more

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Calculus Precalculus

01/12/24

Am I doing this right? HW3 Regression show formula

Need to confirm if 1-7 is done right as for 8 and 9 could I get some help with that one Im not understand1.) Use your judgment to draw a line on the graph that best represents the data. be sure... more

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Calculus

01/12/24

Volume using Slicing Method

Find the volume formed by rotating about the x-axis the region enclosed by:y=9y and y3=x with y≥0

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Calculus Math

01/11/24

Shadow Problems (No Calculator)

A 6 ft tall man walks toward a 30 ft tall streetlight at a rate of 2 ft/sec . What is the rate of change for the length of the man’s shadow when he is 5 ft from the light?

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Calculus Math Mechanical Engineering

01/11/24

Angular Rate of Change (No Calculator)

A squirrel is climbing up a tree attempting to escape from a dog that is sitting 5 feet from the base of the tree. The position of the squirrel at any time t > 0 is represented by the equation h... more

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Calculus Math Chemical Engineering Mechanical Engineering

01/11/24

Ladder Related Rates

A 30 ft ladder is leaning against the side of a building. You pull the base of the ladder away from the wall of the building at a rate of 9 in/sec.At what rate is the height of the ladder above the... more

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Calculus

01/11/24

For each problem, approximate the area under the curve over the given interval using 5 midpoint rectangles. 8) y = -x + 5; [-3, 2]

Riemann Sum

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Calculus

01/11/24

For each problem, approximate the area under the curve over the given interval using 4 midpoint rectangles. 7) y = x 2 2- x + 1; [-3, 5]

Midpoint Reimann Sum Problem

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Calculus

01/11/24

For each problem, use a left-hand Riemann sum to approximate the integral based off of the values in the table. 1) 0 20 f(x)dx x 0 4 9 19 20 f(x) 5 3 4 3 6

Riemann Sums Practice

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Calculus Math

01/09/24

Clarification on equation of the sphere

Find the equation of the sphere of radius 6 that lies above the xy-plane that just touches the xy-plane at the point (3, −7, 0).answer: (x-3)^2 + (y+7)^2 + (z-6)^2 = 6^2It is on the xy-plane why do... more

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Calculus

01/09/24

Find the order 3 Taylor polynomial T3(x) of the given function f(x) = (7x-6)^(4/3) at a=2. Use exact values.

Find the order 3 Taylor polynomial T3(x) of the given function f(x) = (7x-6) 4/3 at a=4. Use exact values.

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Calculus

01/04/24

Use the table of values to find lower and upper estimates of... Assume that f is a decreasing function.

Use the table of values to find lower and upper estimates of 10 f(x)dx 0 .Assume that f is a decreasing function. lower estimate ? upper... more

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Calculus Math

01/02/24

Find the order 3 Taylor polynomial T3(x) of the given function f(x) = (3x+4)^(5/4) at a=4. Use exact values.

Find the order 3 Taylor polynomial T3(x) of the given function f(x) = (3x+4) 5/4 at a=4. Use exact values.

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Calculus Math

01/01/24

Calculus II Power Series Question

Represent the function 5ln(4-x) as a power series (Maclaurin series) in the format: f(x) = ∞∑n=0 cnxn1) Find: c0 , c1, c2, c3 & c4 2) Also find the radius of convergence, R

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Calculus Math

01/01/24

Represent the function 5ln(4-x) as a power series (Maclaurin series) in the format: f(x) = ∞∑n=0 c (subscript) n x (superscript) n

Represent the function 5ln(4-x) as a power series (Maclaurin series) in the format: f(x) = ∞∑n=0 cnxn

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Calculus

12/31/23

Find 𝑑^2𝑥/𝑑𝑥^2 by implicit differentiation y ^ 2 + x ^ 2 = e ^ sqrt(sin(xy) + ln(xy))

Find 𝑑2𝑥/𝑑𝑥2 by implicit differentiation y2+ x2 = e sqrt(sin(xy) + ln(xy))

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Calculus Math

12/31/23

Find the degree 3 Taylor polynomial T3(x) of function f(x) = (-5x+46)^(3/2) at a=6.

Find the degree 3 Taylor polynomial T3(x) of function f(x) = (-5x+46)3/2 at a=6.

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Calculus Math

12/31/23

Find the order 3 Taylor polynomial T3(x) of the given function f(x) = (3x+4)^(5/4) at a=4. Use exact values.

Find the order 3 Taylor polynomial T3(x) of the given function f(x) = (3x+4) 5/4 at a=4. Use exact values.

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Calculus Math Geometry

12/30/23

Compute the volume of a 3-d object with a pentagonal base (the base's vertices are (0,0), (6,3), (6,-3), (9,3) & (9,-3)), given that perpendicular cross sections are squares.

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Answers •3

Relative Extrema of a Function

Height and fall of a ball

Is the Extrema Global or Local?

Calculus Moose Question

Update on assignment: HW3 Regression back

Consider the curve f(x) = 4 - x^2 (Riemann sum and definite integrals)

How do I solve the following limit?

Am I doing this right? HW3 Regression show formula

Volume using Slicing Method

Shadow Problems (No Calculator)

Angular Rate of Change (No Calculator)

Ladder Related Rates

For each problem, approximate the area under the curve over the given interval using 5 midpoint rectangles. 8) y = -x + 5; [-3, 2]

For each problem, approximate the area under the curve over the given interval using 4 midpoint rectangles. 7) y = x 2 2- x + 1; [-3, 5]

For each problem, use a left-hand Riemann sum to approximate the integral based off of the values in the table. 1) 0 20 f(x)dx x 0 4 9 19 20 f(x) 5 3 4 3 6

Clarification on equation of the sphere

Find the order 3 Taylor polynomial T3(x) of the given function f(x) = (7x-6)^(4/3) at a=2. Use exact values.

Use the table of values to find lower and upper estimates of... Assume that f is a decreasing function.

Find the order 3 Taylor polynomial T3(x) of the given function f(x) = (3x+4)^(5/4) at a=4. Use exact values.

Calculus II Power Series Question

Represent the function 5ln(4-x) as a power series (Maclaurin series) in the format: f(x) = ∞∑n=0 c (subscript) n x (superscript) n

Find 𝑑^2𝑥/𝑑𝑥^2 by implicit differentiation y ^ 2 + x ^ 2 = e ^ sqrt(sin(xy) + ln(xy))

Find the degree 3 Taylor polynomial T3(x) of function f(x) = (-5x+46)^(3/2) at a=6.

Find the order 3 Taylor polynomial T3(x) of the given function f(x) = (3x+4)^(5/4) at a=4. Use exact values.

Compute the volume of a 3-d object with a pentagonal base (the base's vertices are (0,0), (6,3), (6,-3), (9,3) & (9,-3)), given that perpendicular cross sections are squares.

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