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Q: An engineering instrument is able to measure the side of a square to within ±0.05 mm (dr). First,…
A: Assume the area to be A and the side length be a. Use the derivative to determine the error dA for a…
Q: 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 3 ft/s, how…
A:
Q: What is the rate of change of y = ln x at x = 10?
A: To find the rate of change we have to find dy/dx
Q: Seroslun fecos(sin={w)dv ,cos(sin"
A: Follow the procedure given below.
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Q: 2. A 13-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the…
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Q: Differentiate with respect to the independent variable: y=tan[ln(3x2+5)]
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Q: 2 9) -sinh? -cosh -dz
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Q: 1. The sides of a square decrease in length at rate 2 m/sec. At what rate is the area of the square…
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Q: sinh In(2+2x) dx? x+1
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Q: A ladder of length 3 meters is placed on a wall, with the distance from the wall x and the height of…
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Q: 3. A 20 ft ladder is leaning against a wall and begins to slide. How fast is the top of the ladder…
A: A 20ft ladder is leaning against a wall and begins slide.The ladder is 12ft away from the wall and…
Q: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…
A: First I have draw the graph of given problem and then solved them using Pythagoras theorem. The foot…
Q: Show that coshxt sinhx= ex and coshx- SinhX = e-x, Hen ce deduce cosh?x- Sinh?X=|
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Q: Show that e grows faster as x –→∞ than x" for any positive inte- ger n, even x'-000,000. (Hint: What…
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Q: Write the differential formula that estimates the given change in volume or surface. Then, use the…
A: Let y=f(x) be a differential function. differential dx is an independent variable. the…
Q: Find the anti-derivative of: S(3x* – 6x)° (2x³ – 1)dx
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Q: The integ ral csc(0.5) dx is equal to
A: Follow the procedure given below.
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A: Given that a sandbag is released from a hot-air balloon that is stationary in the air. Then we have…
Q: A car is slowing down at the rate 0.8 ft/sec². How far will the car move before it stops if its…
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Q: Find the y 'values and differentials for?
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Q: a- y= (cosx) (use logarithm differential)
A: To find dy/dx
Q: An 8- meter ladder is leaning against a vertical wall. If a the ladder away from the person pulls…
A: Given Length of the ladder = 8 meter The rate at which ladder is pulled away from the wall =0.7m/s…
Q: 1. If the radius of a spherical balloon is increasing at the rate of 3 cm/s, which of the following…
A: We are only allowed to solve one question at a time so we will answer only the first question.…
Q: Find the given derivative 6 Dx 7x 1 Dx 7x 5 LN +
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Q: Find the derivative of n^(ln(cosu)). Where n=822
A: Given information : nlncosu Here, n=822. we have to find the derivative of given function.
Q: A circle has a radius of 5 cm, if the radius is increased by 0.1 mm., what is the estimated increase…
A: Let's find.
Q: A 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 3 ft/s, how…
A:
Q: use differentials to estimate the amount of metal in a cylindrical can that is 12cm high and 8cm in…
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Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional to…
A: Given: when the initial time t=0 amount of the cane sugar is 75 kg, and the time t=30 minutes amount…
Q: As an object cools, its rate of cooling slows. Explain how this follows from Newton’s Law of…
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Q: 2) A person is standing 350 feet away from a model rocket that is fired straight up into the air at…
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Q: 3 sinº x dx 4 Show that
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Q: 5. S Vr3 In(Vx) dx 6. Si, Inx dx J1
A: This question is based on indefinite and definite integral.
Q: A mold grows at a rate that is proportional to the amount present. Initially there is 6oz of this…
A: The amount of mold at time 0 is m0. The amount of mold present after t hours is m. The rate of…
Q: 1- -In2 - cosh? () . 2 - cosh(Inx) dx
A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: write a differential formula that estimates the given change in volume or surface area. The change…
A: write a differential formula that estimates the given change in volume or surface area.
Q: - ton o七
A: Use chain rule of derivative and differentiate one by one in chain form.
Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 11…
A: Let r and h be radius and height of tin can Then r varies from 4 cm to 4.04 cm and height changes…
Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °,…
A: a. let the hypotenuse of the triangle is h. so using the trigonometric ratio formula,…
Q: 10. S V9x2 + 64 11. ( sech?(In x) 12. S cosh(5x – 7) dx
A: Given
Q: A 13 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how…
A: A 13 feet ladder is leaning against the wall. The top slips down the wall at a rate of 2 ft/s. The…
Q: A 13 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…
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Q: cosh(In x) dx
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Q: Without integrating, explain why
A: when the integration is in the form ∫-aaf(-x)=∫-aa-f(x) is odd then it is equal to 0
Q: Se Sin (3x) dx by Improper htegrations.
A: use improper integral
Q: Use differentials to approximate tan (43°). Round to 4 decimals.
A: Approximate to tan(43°) using the differentials ,
Q: How do you solve question 2?
A: Let x= horizontal distance y= vertical distance Given that dx/dt=1 ft/sec We have to find dy/dt at…
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