tan (sin-¹), x≤1 |x|

Q: 1. Determine the differential equation by elliminating the arbitrary constants y = A·e + Bxe*+ Ce*

A: Differentiate given equation 3 times and solve equations to get differential equation

Q: Use Figure 1 to evaluate the trigonometric function. Enter the exact answer. tan A = B 10 Figure 1 3

A: Given data: If we consider the perpendicular vertex of the triangle as O. The perpendicular of the…

Q: The volume of a right circular cone of radius x and height y is given by 1 dy dx V = ²y. Suppose…

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Q: c) h(x) = VT 4² + x³

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Q: The equation of the plane passing through the points (1,3, 2), (3, 1, 2) and (1, 1, 1) is: x-y-z=-4…

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Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

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Q: Evaluate the following indefinite integral § 13 sin(x) — 3 cos(x) dx = +C

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Q: Find the derivative of y with respect to t: y = sec¯¹ (9t5 + 8). dy dt

A: Given; y=sec-1(9t5+8).

Q: If -5xy - y² - 3x³ dy that = dx = 1 and it is known 5y+9x² -5x-2y' find all coordinate points on the…

A: We are given a curve  -5xy-y2-3x3=1   and we are also given that dy/dx = (5y+9x2) /(-5x-2y)  ...A We…

Q: Given the equation below, find dy dx Y dy dx = 5x5 + 2x¹0y + y³ 5x4 (5+4x5y) 2x10 + 3y² Now, find…

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Q: Consider the following. y = x³ 3x + 6 10 9 8 4 f 3 1 2 -4 - 3 -2 -1 relative maxima relative minimal…

A: Given data÷ fx=x3-3x+6

Q: Given that f'(x) = cos(x), ƒ'(π/2) = 5 and ƒ(π/2) = 9 find: f'(x) = f(x) = ←

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Q: 4. dy 2x = (3y + x). dx

A: As per the company rule, we can answer only the first question and rest can be reposted.

Q: Use cylindrical coordinates. Evaluate x2 + y2 dv, where E is the region that lies inside the…

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Q: EXERCISES Evaluate each of the following integrals. [2 (17z - 6) dz z³-2³-6z

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Q: Use partial fractions to evaluate the integral. 2x²-1 (4x− 1)(x² +1) S dx

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Q: If − xy² + x² − 4 = -y³ and it is known - y²-2x -2xy+3y² 9 points on the curve where y line tangent…

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Q: A patient’s drug costs her $75.00 for 300 tablets. What is her cost per week at 2 tablets per day?

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Q: Question Calculate the limit. lim n→→∞ [(n+2)!] [n If the limit does not exist, enter Ø. Provide…

A: Given    limn→∞ (n+8)!(n+2)!

Q: To find the partial fraction decomposition of and solve for A and B. 4x² (x - 1)(x² + 3)' A x-1 + B…

A: Here we have to do partial fractions

Q: A manufacturer determines that the supply function for z units of a particular commodity is S(x) =…

A: A manufacturer determines that the supply function for x units of a particular  commodity is…

Q: Where does the graph of sin x have a horizontal tangent line? Where does cos x have a value of zero?…

A: Given function is: y=sinx To find: Horizontal tangent line. and where does cosx have a value of…

Q: Consider the following. y = x³ 3x + 6 -4 -3 -2 relative maxima relative minima horizontal points of…

A: We need to find extrema.

Q: An airplane is flying in still air with an airspeed of 325 miles per hour. The plane is climbing at…

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Q: A right cylinder is leaking water at a rate of 8.7 . If the cylinder has a height of 11 ft, and a…

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Q: III. Consider the function g(x) whose graph is shown below. The domain and range of g (x) are 49 R…

A: A function f(x) said to strictly increasing if x<y implies that f(x)<f(y).A function f(x) said…

Q: Given the equation below, find dy dx 22x6(7-9x¹5y) 9x22 + 2y y= dy dx - 22x7 + 9x²2y + y² = - 12…

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Q: Derivative of 7x^2/3

A: We have given to find derivative of  7x23 Let,  y=7x23 Derivative is given as  dydx=ddx7x23 dydx=7…

Q: 2 The curve y = ax + bx+c passes through the point (1,8) and is tangent to the line y = 5x at the…

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Q: Solve the following D.E xdy + ydx = 3x^3y^1/2 dx

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Q: A rectangular area is to be enclosed and divided into thirds. The family has $640 to spend for the…

A: We need to find Area.

Q: The function decreases and the slope increases as x increases. decreases as x increases. [Note: The…

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Q: 1. Define the term sequence. Give an example of a geometric sequence (.. ). Find the general term of…

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Q: (a) Find the general solution to y"-6y' +9y=0. Enter your answer as y.... In your answer, use cj and…

A: The given differential equation is; y''-6y'+9y=0, y(0)=7, y'(0)=0.

Q: 34. A force of 6 pounds compresses a 16-inch spring 4 inches. How much work is done in compressing…

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Q: lim Z-0 /52 +196 – 14 I

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Q: Given y In(cos(x)|), find = dy dx at x = 5T 6

A: Topic- derivative of a function We are given, y=ln(|cos x|) ,x=5π6we know…

Q: Evaluate the integral by interpreting it in terms of areas. (1-x) dx -5

A: Given Integral:- ∫-561-xdx

Q: Solve 2 sin² (x) + 3 sin(x) + 1 = 0 for all solutions 0 < x < 2π x = Give your answers as a list…

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Q: Find the derivative of the following function. a. F(x)= 9-1² ²0² F'(x)= b. y= dx -(3x+2 113 de t…

A: See the details solution in below

Q: Find the derivative of the function. g'(x) = g(x) = '7x - [²3² = 1 0 [po: du √3x *7x 0 7x : [[ ^*…

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Q: (x² + y²) ² y' = = 10 xy² POT PW

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Q: A price pp (in dollars) and demand xx for a product are related by 2x^2-14xp+50p^2=6600 If the…

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Q: Evaluate the following indefinite integral. 8 dt t10 J ← +C

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Q: We have an unknown function f(x) which satisfies    f''(x) + f'(x) -2f(x) = x2 The first term is the…

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Q: eliminate arbitrary constant Ae^3x+Be^4x+Cxe^3x

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Q: X=-2+4cos(t) y=3+4sin(t) a circle with radius 4 with a center (-2, 3). Find the curvature at t=pi/2

A: Given: X=-2+4cos(t), y=3+4sin(t) a circle with radius 4 with a center (-2, 3) To find: curvature at…

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Evaluate the integral. (Use C for the constant of integration.

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