7/2 4 cos 0 3+2sin -de 0 30

Q: Find the solution to the given (y + x³y³) dx + xdy = 0¹ a. 2x²+y²(x-c) = 1 b. 2x² - y²(x-c) = 1 c.…

A: We will find the required.

Q: b. C. x√5x-1 (b) lim x-1 x-3 (c) lim x-4 3x - 12 |x4|

A: From the definition of the limit; The limit limx→afx exists when the left-hand limit and the…

Q: Oil spilled from a ruptured tanker spreads in a circle whose area mi² increases at a constant rate…

A: Using differentiation

Q: Exponential and Log Derivatives "hat is the slope of the line tangent to the graph of y = 2 In(x) at…

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Q: a. Find the cost of removing each percent of pollutants: 50%; 70%; 80%; 90%; 95%; 98%; 99%. 50% y =…

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 2+ Ⓡ C 1 2

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Q: Need to be solved correclty by hand solution

A: Concept used: Calculate the work done in the process of moving the particle under gravitational…

Q: If f(x) = (-3x6 + 3x³ - 1)(2x7 + 3x4 + 4), compute f'(-1). f'(-1) = X

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Q: 1. Find lim x2-x² 1 x3 8 - 4x +4

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Q: Solve dy/dx = x² + 2xy + y² + 2x + 2y, y(0) = 0.

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Q: I. Using the trapezoidal rule complete the following. a. Estimate the integral with n = 4 steps.…

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Q: Problem 3 A Find, if they exist, the extrema of the function: f(x, y) = 3x² + 3y² + 1, subject to…

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Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). K=

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Q: 43. Show that √(x) = {2²2 ²+ 2x, [x² +1, x ≤ 1 x > 1 is continuous and differentiable at x = 1.…

A: According to given data we can find the limit and derviative values in both side  And if  both side…

Q: Ja 3 JU 3. If B = f(x)-2g(x), then B'(0) = ?

A: Given, B=f(x)-2g(x)

Q: 3x² + 3x - 1 6x³ - 17x2 - 4x + 3

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Q: Use the graph of y = f(x) to graph the function g(x)=f(x)-2 y = f(x) Q AY -6 -4 -2 -2 + ib N Choose…

A: Concept: A relation between a collection of inputs and outputs is known as a function. A function…

Q: 3. By y = definition, find the derivative 2x 3x + 4

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Q: Question 5 of 14 > Determine f'(a) for a = 2.5, 4, 7. 5 4 3 2 1 SEP 19 y f'(2.5) = 1 2 3 4 5 6 789…

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Q: EXAMPLE 4 Find the derivative of the function f(x) = x² - 3x + 5 at the number a. SOLUTION From the…

A: Finding the derivative using the definition

Q: Evaluate fcos³ (42) sin(4x)da

A: here is the solution:

Q: A bird species in danger of extinction has a population that is decreasing exponentially (A=A₂e). 5…

A: A = A0ekt = population t years from 5 years ago   When t = 0, A = 1660. So, A0 = 1660   A = 1660ekt…

Q: 2. (3D — 1)y = 6e³x

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Q: Find the limit. √x² x² - 9 lim xx 5x 15

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Q: For the function g(x,y) → 5.73-x+ 0.27-x² + 5.31-y² +8.43-x-y + 6.58 determine S².S². 2 g(x,y) dx dy

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Q: التاريخ الموضوع : using the trapezoid rule to Calculate ² (2+ Sin 2 x ³JJX Divide the periods into…

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Q: Consider the following given function and given interval. g(x) = (x + 2)3,   [0, 2] (a) Find the…

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: 1. Use separation of variables to find an explicit form of the solution to the following ODES. Do…

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Q: Prove that if A is a square matrix, then det (ATA) = det(AAT)

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Q: Classify each of the following differential equations by stating the order, the dependent and…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: -7x lim 200 2+ 2x 15x-9 lim 1-∞ 2³ + 3x - 15 lim 818 lim 818 = r² - 2x - 10 7-13x2 lim 8118 T²+ 13x…

A: Concept: Unique real numbers are limits in mathematics. Take into account a real number "c" and a…

Q: y = -14x+49. X-7

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Q: For the given function f(x), the point c, and a positive number e, find L= lim f(x). Then find a…

A: Let's find value of L.

Q: The limit represents the derivative of some function f at some number a. State such an f and a. (1 +…

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Q: Is the graph of r(x) = 4x³ - 2x² + 9x - 2 concave up or down at the point with x-coordinate -1?

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Q: 4. x = y² +6, x = 2, y = 0, y = 1 rotated about the line y -3

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Q: [2-3 57 A=0 1-3 0 0 2

A: Given matrix A=2-3501-3002

Q: + COE 201 Assignment No. 1 I. Answer the following questions in a ½ crosswise yellow paper. For each…

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Q: (b) xy' - 4y = x, (c

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Q: (k/x². x 2 -1 < x≤2 x ≤-1

A: If the function is continuos at a point then the left hand limit and right hand limit of the…

Q: 1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(x -…

A: The function is given by fx = xx-62 To evaluate: maxima, minima and point of inflection.

Q: What is the first derivative of s(x) Select the correct answer below: O 12(28¹¹) O 28¹2 (31n 28+ O…

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Q: 1.) 'An= (n +4; give the first 5 terms.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Use the graph of y=f(x) shown to the right to graph the following function g g(x) = -f Choose the…

A: see below the answer and explanation

Q: the axis of the parabola. y=x2−4x+5       Question content area bottom left Part 1 The vertex is…

A: We can find equation of parabola.

Q: For the function f whose graph is given, state the following. (If the limit is infinite, enter 'co'…

A: This question can be solved by using the concept of graphical interpretation of limits

Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

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Q: (-4-x)²+2 if x # -5 Let f(x) = 2x + 12 if x = -5 Calculate the following limits. Enter "DNE" if the…

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Q: DIRECTIONS: Write down a differential equation of the form dy/dt =ay +b whose solutions have the…

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