Verify by Differentiation

Q: lim x-1 2x³ +3 3x² + 1 - 3x + 2

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Q: B.Verify that the real and imaginary parts of the following function satisfy the equation and that…

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Q: Determine the equation of the tangent to y 23.03x+y+13.03=0 23.03x-y-13.03=0 O-23.03x+y+13.03-0 None…

A: Solution ) y = 10x Differentiation with respect to x  dy/dx = (ln10) 10x [ Formula d/dx ax = ln a…

Q: Find f. f"(0) = sin(0) + cos(8), f(0) = 5, f'(0) = 2

A: Given, f"(θ)=sinθ+cosθ f(0)=5 and f'(0)=2

Q: Find all roots of the polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs,…

A: Concept: Descartes's rule of signs: The number of positive (or negative) real roots and the number…

Q: 2. y (0) = Find the solution to the differential equation below satisfying the condition -2. x…

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Q: Q.2 Find the derivative at each critical point and determine the local extreme value. (a) y=x√√4x² 1…

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Q: Sales of a particular product have been declining continuously at the rate of 15% per year.  a.)…

A: Given ,  Sales of a particular product have been declining continuously at the rate of 15% per year…

Q: x=2y-3 and x=1+4y=2y². (-5,-1) x=2y-3 x=1+4y=2y² 2 0 (1,2) 2

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Q: = 4 ln(x¹ - y) at the point (3,80,0), and use it to Find the linear approximation to the equation…

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Q: -2 xs-1 @ Consider the function f(x)=x² -1<x<1 Ⓡ 2x-1 x21 Ⓒ a. Sketch f(x). b. Evaluate f(x) for x =…

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Q: Problem 1: At what points is the function y = form. 2x²+10x+12 x²-5x continuous? Write your answer…

A: In this question, we want to know the points (in the form of interval) at which the given function…

Q: B: Solve the following differential equation by Laplace: d²y +2+ 5y = et sint .y(0) = 0,(0) = 1

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Q: Q4/A: Find Fourier Series of the Function: f(x) = {- K (-K -<x<0 к 0 < x < n B: Solve the following…

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Q: A stone is dropped off a 784-1 cliff. The height of the stone above the ground is given by the…

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Q: the differential equation. (2x² + 3y²-7)x dx - (3x² + 2y²-8)y dy = 0

A: We have to solve the given differential equation.

Q: 9-x² - y² SS. 0 9-x² 0 √√x² + y² dz dy dx 2

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Q: Solve the differential equation. (2x² + 3y²-7)x dx-(3x² + 2y²-8)y dy = 0

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Q: Evaluate f f (x) dx

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Q: Find te dx

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Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: An object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is…

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Q: Find the directional derivative of the function f(x, y) = ln(x³ + y³) at the point (3, − 2) in the…

A: Topic = Vector

Q: Problem 6: Given the function f(x) = 3x² + 2x - 10, then (a) find the derivative function f'(1) by…

A: In this question, we want to find the differentiation of function at x=1 , equation of the tangent…

Q: Question: 4 Find the value of "k" such that the function f(x)=x² + kx-6 satisfies the hypothesis of…

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Q: A thermometer is taken from an inside room to the outside, where the air temperature is 10° F. After…

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Q: f TAN Aydy - TANY 4 TANY +C

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Q: У S 1 X

A: The function is said to be increasing in an interval if its value increases as the value of x…

Q: Find the absolute maximum and absolute minimum values of z€

A: This question can be solved using the concept of absolute maximum and absolute minimum.

Q: y"=x²+3y'-2y, where y(0)=1and y'(0)=3

A: In this question, we want to find the solution of the given second order differential equation with…

Q: find polar form of the complex number Z= = (2√3-4i) + (-√3+5i).

A: We will find the polar form of the given complex number.

Q: Write a triple integral, including limits of integration, that gives the volume between z+y+z=2 and…

A: Solution

Q: Given : f(x) = │x-5│ 14. Find ∫ 86│x − 5│dx

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Q: 8. What rule should be used in deriving f(x)=x5? A. Constant rule B. Sum rule 9. Find dy/dx y=e³x A.…

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Q: (a) Given the curve of y=x(x+3)(x − 2)(x-5) 10 i) Sketch the graph for -4<x<6 6 +1

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Q: A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting a…

A: 1) Given:

Q: 1 Q2: Evaluate fo y² (x² + y²) dx dy

A: Given :∫01∫01-y2y2x2+y2dxdy

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Explanation of the answer is as follows

Q: 2) 2) A water trough has a semicircular cross section with a radius of 0.5 m and a length of 4 m…

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Q: Choose the correct letter that corresponds to the exact answer. 1. Find the derivative of f(x) =…

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Q: C 5 4 3 2 1 1 1 2 3 4 5 d To find the blue shaded area above, we would calculate: ["1(z)dz = area…

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Q: Find the area between the curve f(x) = x³ - 130 and the x-axis from x = 1 to x = 4. …….. The area is…

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Q: 5. Part 2. Solutions to Some First Order DE. Solve the following DE: dy 2y 3x + ; y(1) = −1 dx x 2y

A: Use substitution method

Q: A 40-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: Let's solve.

Q: • Example: • f(x, y, z) = x³ + 3xy + 3xz+y³ + 3yz + z³ • Find the stationary points • Classify the…

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Q: Find the area between f(x)=x²-9 and the x-axis from x = 0 to x = 7. C... The area is square units.…

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Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with x² + y² ≤ 25. 1. Absolute minimum of f(x, y) is…

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Q: A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved.…

A: Above question is solved.

Q: Find any local maximums/minimums of f(x)=x²-8r³ +18r²

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Q: Exercise 4 Calendar Surname, First Name MI. B Calls Show all the necessary figures and solutions to…

A: Area between curves