12 14 16 18 - 3 9 27 81 ume the first term is a₁ 3 2 20 243 --}

Q: State the order of the given ordinary differential equation. (1-x)y" 5xy' + 7y = cos x Determine…

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Q: Show that fis continuous on (-∞, 00). if x ≤1 f(x)=√(1-x² In(x) if x > 1 On the interval (-∞o, 1),…

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Q: 5- For the y= 3x V4-x², determine the absolute max and min values within its domain.

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Q: dy Find given that dx cotx y² · log(x² + y²) = √√√+y√tan(x)

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Q: f(x) = 44 (a = 3) Choose the correct answer below. 4 4 8 OA -+ -(x-3)-. 3 9 27 (x-3)² + ... 4 4 4 O…

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Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation…

A: Let's find rate of inflacted population.

Q: For the vector-valued function r(t) = cos(t)i + sin(t)j + 2tk Find r'(t). r'(t)=-i sint + j cos t +…

A: Topic = Derivative

Q: Function do you know from calculus is such that its first derivative is itself? (Do not use the…

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Q: 4.[(5x³ 5.Ĵ(6x² − 2x² +4x)dx − 3x+1)dx

A: Topic = Derivative

Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t²…

A: The height of  the object,   s=-16t2+288t+9

Q: Question (3): Test for exactness and solve the following 1st order linear ODE: (a + 1)y + (b + 1)x…

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Q: tions: Solve for the derivatives of the following function. Write the letter of the correct answer…

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Q: du + 2) du dx du dy -

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Q: A. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e at y(0)=1 and y (0)=2

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: The toll T charged for driving on a certain stretch of a toll road is $3 except during rush hours…

A: a) Given that, the toll T charged for driving on a certain stretch of a toll road is $3. The toll…

Q: 20-21. What is the area of the region between the graphs of y=-x² and y = -x? A) B) D)

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: What is the denvative of: d√√√x²-2x do sin x

A: Topic = Derivative Your answer is correct, but it can be simplified further.

Q: 1. Given that a right triangle has sin 0 = 0.5. Find another two sides of length if hypotenuse…

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Q: 3.lim √x + 3x + 6 x-2 -2.1 X f(x) -2.01 -2.001 -2 ? -1.999 -1.99 -1.9

A: Limits

Q: Suppose s(t) = 8t - 2t² on the interval [0, 4]. What is the distance traveled on [0, 4]? 00 04 08 O…

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Q: - 3x² + if x 1 a. Determine the value of a for which g is continuous from the left at 1. b.…

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Q: One number exceeds another by 1. The sum of the numbers is 73. What are the​ numbers?

A: Given data÷ One number exceeds another by 1. The sum of the numbers is 73.     Let assume that  One…

Q: given by v(t) = 7e", where t stands for time. (Note: Find the integral of the function (t).) 2.…

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Q: ou record the temperature every hour from midnight until 8:00a.m. You see that the temperatures (in…

A: Given problem:- You record the temperature every hour from midnight until 8:00a.m. You see that the…

Q: 3. lim(x²+x-6) X-0 X f(x) ?

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Q: :A. Find the determonant of the matrix A 1 2 1 -2 -1 4 -1 -2 2 1 3 2 -2 1 2 -3

A: The given matrix is  A=1 2 1 -2    -1 -2 -1 4     2 1 3 2   -2 1 2 -3.

Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

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Q: e three terms of the expansion for √1+x to calculate the value of 1.4996. ... 1.4996= Do not round…

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Q: If ū² = and find xu

A: This question can be solved using the concept of vectors.

Q: lim 4x X f(x) ?

A: Using approximate approach ing toward 1/2

Q: The graph to the right is a graph of a polynomial function. (A) What is the minimum degree of a…

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Q: 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = −2

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Q: Suppose s(t) = 12t2t² on the interval [ What is the distance traveled on [1, 5]? Ο Ο 08 O 10 O 16

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Q: Consider the following homogeneous differential equation. xdx + (y-2x) dy = 0 Use the substitution x…

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Q: 1. (2x - 2) dx π/2 2. 577 sinx dx 3. ₁*√x dx

A: Topic = Integration

Q: (A) Find the slope of the line that passes through the given points. (B) Find the point-slope form…

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Q: 3. ) Consider the function f(x, y) = 2r+y²-2²-2y. The critical points of f are (-1), (0, 1) and…

A: In this question, we need to classify each critical points using second derivative test.

Q: 3 + 3 3 3 -3 몽클롭 + 니 50 times

A: We know that, ∑n=1kn=1+2+3+4+. . .k

Q: (x+h)³-x³ h C. lim- h-0

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Q: An object moves along a horizontal path with a velocity v(t) = 2t² - 8t, where v(t) is measured in…

A: Given problem:- An object moves along a horizontal path with a velocity v(t) = 2t2 - 8t where v(t)…

Q: Evaluate da √7²√7²-49) x>7, using a trigonometric substitution.

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Q: 10. What is the constant multiplier to complete the integrand in terms of u for dx? x +3 A) B) C) 4…

A: 10. The given integrand ∫x3x4+3dx11. The following integral is equal to 54.

Q: Directions: Solve for the derivatives of the following function. Write the letter of the correct…

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Q: 3- prove that w = w yx if w = xy² + xy +

A: Given problem:- w=xy2 +x2y3+x3y4  Prove that wxy =wyx

Q: Solve the given differential equations: dy x3 1. dx 2+y²

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: I need the third derivative for all of the following functions: *(x) = 1 + x² € (x) ==—=—==-x 1-X…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: 3. Consider the following differential equation dy 1 y(0)=2, h=0.2 dx x + y Determine the solution…

A: SOLUTION-

Q: Determine whether the integral is improper. +∞0 (x+3)-1/3 dx -∞0 O Improper O Not improper

A: Topic = Integartion Improper