8 A communication signal is given by the function sint y== The task is to: a) Derive and equation for Rule. dy dt using the Quotient

Q: Solve the right triangle. Round your answers to the nearest tenth. 50° 26 B B = ₁ -0 c = 0 a = X

A: We can find the required answers using the given right triangle in the below steps.

Q: Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3.…

A: Graph:-

Q: 4. Carry was given a 200-peso gift card for her birthday. She plans to use it to buy new ball pens…

A: Let the number of pens she bought =x

Q: Let r(t) = ( −2+²+2, −3e¹, − 3 sin(2t)). Find fr(t)dt (don't include the +C) fr(t)dt = ([ ])+C

A: Topic = Integration

Q: At what points is the function y = X +8 x² - 15x + 56 continuous?

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Q: Find an equation of the tangent line to the graph of the function at the point (-1, 4). y = 4 x y =

A:

Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = −20t³ + 60t.…

A: A particle moves along the x-axis so that at time t > 0 its velocity is given by v(t) = −20ť³ +…

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

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Q: Part III. Find the 53rd derivative of sin x. Show your solution. I

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Q: the lcm of 21 and 54

A: To find out the LCM of the given numbers.

Q: For the right triangle below, find the measure of the angle. Please show your answer to one decimal…

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Q: can

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Q: Enter an exact answer. Provide your answer below: Maximum value: 6 1.

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Q: For the equation, find dy/dx evaluated at the given values. y² = dy = 8x - 71 at x = 9, y = -1

A:

Q: The marginal cost of manufacturing a yards of a certain fabric is C'(x) = 3 – 0.01x +0.000006x² (in…

A: We need to find the increase in the cost if the production level is rasied from 3000 to 8500 yards.…

Q: 3 (x-2) y'= y + 2(x-2)

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Q: Find the indefinite integral. (USE INTEGRATION BY PART ONLY-Use C for the constant of integration.)…

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Q: Evaluate limx→-1+ f(x) if ƒ(x): = x +4 -x+ 1 x -1

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Q: A particle moves with position function s = t4 - 4t³ - 8t² + 25t, t≥ 0 (a) At what time does the…

A: Given query is to find the time where velocity is 25.

Q: Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3.…

A:

Q: conical tank with the point oriented down, a height of 20 feet, and a radius of 3 feet has sprung a…

A: Given query is to find rate of change of height.

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: 1. Estimate y(1.4) with a step size h = 0.2. Answer: y(1.4)~ 2. Estimate y(1.4) with a step size h =…

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Q: Find the sum of the series, S. Szön n! S = Σ n=0

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Q: Use regression to find an exponential equation that best fits the data above. The equation has form…

A: use the calculator to find the exponential regression in your calculator press STAT select edit by…

Q: You have the innial value problem below, solve it analyitcaly write you answer as a symbolic…

A: need to find out the solution.

Q: For the right triangle below, find the measure of the angle. Round your answer to 1 decimal place.…

A: Given data÷ The opposite side and adjacent side of the angle are Opposite side(OS)=10 Adjacent…

Q: If lim x→3 f(x)-4 x-1 = 2, then lim f(x) = x →3

A: To find the limit of the function at x=3.

Q: 2 S₂² 1² 10² In I dz x² - 6x + 10 dz.

A:

Q: Suppose f ¹ is the inverse function of a differentiable function f and f(2)=9, f'(2) = }, then (f…

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Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

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Q: :2 ¡dx 4

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Q: Consider the following. lim x4/x X18 (a) Describe the type of indeterminate form (if any) that is…

A:

Q: The graph of y = g(x), shown below, consists of straight lines and a semicircle. Using known are…

A: We can evaluate the definite integral .

Q: . A 24ft. ladder is leaning against a house while the base is pulled away at a constant rate of…

A:

Q: Consider the initial value problem Suppose we know that y(t) → 0 as t→∞o. Determine the solution and…

A:

Q: Prove that the following differential equation: (1 + x2)y'' + 2xy' - 2y = 0 has the following…

A: To prove that y is solution of a differential equation then we just substitute the value of y' and…

Q: Provide the complete sign analysis using a table to clearly indicate the behavior of the function…

A:

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A:

Q: Exercise 1. Let an 2n 3n+ 1 (a) Determine whether (an) is convergent. (b) Determine whether an is…

A: Part (a) A sequence an is said to be convergent if limn→∞an exists and is finite. Determine limn→∞an…

Q: pose f'(x) = √(x+3) and f(1) = 0. Find a formula for f(x) and show all of your work.

A: Given query is to find the function.

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A:

Q: Consider the following. lim x→0+ (a) Describe the type of indeterminate form (if any) that is…

A: If a limit limx→cf(x)g(x) is of the indeterminate form 00. Then…

Q: The graph of a function is given. Draw the graph of its derivative. 13) + -15 -10 + -5 15- 10+ 5+…

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Q: 1 √₁2²-4 d x² - 4

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Q: The following table shows retail sales in drug stores in billions of dollars in the U.S. for years…

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Q: Consider the following infinite series. Complete parts (a) through (c) below. IM8 Σ -|~ k=12 a. Find…

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Q: K Suppose that T is to be found from the formula T=x (eY+ ey), where x and y are found to be 5 and…

A: Concept: Formulas used (f·g)'=f'g+fg'eln(a)=addxex=ex

Q: Determine all values of x that satisfy the equation: 3x-2 = 27x+5 b. Use the properties of…

A:

Q: 2. An inverted conical water tank is full of water. (a) Write a formula for the volume of water. (b)…

A: Let's find volume and define variable as well as function in terms of radius and height.