2x³+1 x-100 2424-3 Compute the limit lim

Q: 1 Find the explicit solution to the equation L dI + RI dt = 0

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Q: which of the following is homogeneous function whose degree of homogeneity is 4. A. f(x, y) = 2x¹ -…

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Q: A gas company will pay a property owner $5000 or the right to drill on his land for natural gas and…

A: Given: Amount paid for the right to drill: $5000 Price paid for each thousand cubic feet of gas:…

Q: Find the directional derivative of f(x, y) = x²y³ - 49 at (2,-1) in the direction of = 21 +5]

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Q: If 2x² + 3x + xy = 4 and y(4) = 10, find y'(4) by implicit differentiation.

A: Here,              We have given a function now we have to find out y'(4) by doing implicit…

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Q: 1. Let A = -1+2j+k D = -5t+3j - k Find the following: a) 2A C + 3D. B B = i +4j+5k E = -3j+k C = 5i-…

A: This question can be solved using the concepts of vector.

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Q: Solve the derivative in R3: r(t) = (arctan(t), 2e2t, 8tet)

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Q: For Exercises 97–98, simplify the expressions. 97. V-16 · V-4 98. Simplify the powers of i. а. 35 b.…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Consider the graph of g(x). True 5-4 -3 -2 False 6Ay 5 4 3 2 1 -3 -4 1 yg(x) True or False: If g(x)…

A: A point x=a is said to be relative minima of the function f(x) if the the first derivative of the…

Q: Determine the area between the curves x= y^2 + 1,x= 5,y= −3,y= 3.

A: Find shaded area

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

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Q: Compute the derivative of f(x) =x^(1/3) + 8  using the definition of derivative.

A: Solution:

Q: Determine the area, in square units, bounded above by f(x) = -x² + 2x + 3 and g(x) = -x + 3 and…

A: Given query is to find the are bounded by the curves.

Q: Find y as a function of x if y" + 16y' = 0, y(0) = 0, y'(0) = 4, y'(0) = -32. y(x) =

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Q: 4. Simplify without absolute value bars. a. w – 4| for w < 4 b. w – 4| for w 2 4

A: The absolute value can be written as: x=x           , x≥0-x        , x&lt;0 Part a Now, we have…

Q: h(x, y) ) = tan¯¹ (²), What is the value of hxx when x = 1;y=1 a. b. C. 2 1123INL d. 1

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Q: If z = f (u, v), find af af a. b. C. d. ди af ди i + òla + af ди af ди ἂν af af αν ἂν af ду дz ?x…

A: Given z = fu, v u = x-y v = y-x We have to find ∂z∂x.

Q: When the U.S. Environmental Protection Agency found a certain company emitting ozone-depleting…

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Q: Consider the graph of g(x). 6 y 5 y=g(x) 4 3 2 q 1 5 -4 -3 2 1 2 3 4 -2 -3 True or False: If g() is…

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Q: Calculating derivatives Find dy&gt;dx for the following functions.

A: To find dydx for the following functions: y=sin x+4e0.5x y=e6xsin x

Q: For Exercises 5–10, a. Simplify the expression. b. Substitute 0 for h in the simplified expression.…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Extended Power Rule Find the derivative of the following functions.

A: Given function: f(x)=3x-9 b To find the derivative of the given function.

Q: Let f(t) = Arcsin(t) and g(x, y) = √/1-x² - y². Find h(x, y) if h = fog. Also, find the domain and…

A: The domain of a function f(x) is the set of all possible values of x for which f is defined. The…

Q: Find the equation of the plane that passes through (8, 3, 8) and is parallel to x + y + z = 4.…

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Q: A-(52-5y3) x (2x² - zx) =

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Slope of curve is derivative of this curve

Q: Explain the Bessel function.

A: Concept Used: Bessel function General form of the Bessel function is: y(x)=AJn(x)+BYn(x)

Q: Determine the following limits or state that they do not exist.

A: (a) Given limit, limx→1+ x-2x-13 Now solving the given limit, limx→1+ x-2x-13=limh→0 1+h-21+h-13…

Q: 6 Determine whether any of the functions (a) y₁ = sin 2x, (b) y₂(x) = x, or (c) y3 (x) = sin 2x is a…

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Q: Suppose the position of an object moving in a straight line is given by s(t)=2+2t+4. Find the…

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Q: PROBLEM: Write the general solution of the differential equation defined by…

A: We will find the required  general  solution  of given differential equation.

Q: Find the domain of the function graphed below 1 Domain: 2 + 6 + * 2 O -2 * 4

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Q: Sketch the graph of 3x - y = 2.

A: The given equation: 3x - y = 2 To sketch the graph of the given equation.

Q: Bank account A $200 investment in a savings account grows according to A1t2 = 200e0.0398t, for t Ú…

A: Given function: A(t)=200e0.0398t, t≥0, where is measured in years. A(0)=200, initial balance   a. To…

Q: A cylindrical tank with radius 7 m is being filled with water at a rate of 2.7 m3 /min. How fast is…

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Q: Find the following derivatives. z and Z₁, where z = 9xy - 5x²y, x= 3s + t, and y=3s - t

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Q: Determine the limit: lim I 15 √x-2

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: An open wooden box is to be made of lumber that is 1/3 inches thick, the inside length is to be 7 ft…

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Q: Use the method of disks, washers, or shells to find the volume of the solid obtained by rotating the…

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Q: Consider the plane passing through the point (2, 0, −1) with normal vector (1, 1, 1).  Consider a…

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Q: ( 3. p = (y) + zk). (x²-22k)

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Q: [f F(x) = f(6f(3f(x))), where f(0) = 0 and f '(0) = 2, find F '(0). F'(0) = X

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Q: According to Hooke's law, the force F (in pounds) required to stretch a certain spring x inches…

A: Recall: Hooke's law

Q: How do you know if a number is written in scientific notation?

A: Scientific Notation:- Scientific notation is a way to present extremely large or extremely small…

Q: Find a homogeneous linear differential equation with constant coefficients whose general solut y =…

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Q: Find the first derivative (1) H(X) = (6x + 1) 1/² (3x-2) 4 @) f(x) = (6e³x-2)(4₂5x+1) (24 € 2x + 3)

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