3- show that the diff. equ. is homogeneous and Salve it (2x+34) dx +(y-x)dy = 0

Q: Additional Activities What function will you differentiate to get each function? 2. f(x) = 8x74x³ +…

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Q: In(x² + 4)dx

A: Let's solve given integration.

Q: Js sin 4x cos2x dx

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Q: According to Stefan's law of radiation the absolute temperature T of a body cooling in a medium at…

A: dTdt=kT4-Tm4                       11T4-Tm4.dT=k·dt1T2-Tm2T2+Tm2=k·dt…

Q: Q3/ Find the IVP for the differential equation. x²y" - 3xy² + 68y=0, that satisfies the -зху!…

A: Follow the procedure given below.

Q: Find the area of the curve: r² = 16 cos 20

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Q: Determine L-1. 2s² +10s (2s²-20s+58) (s+1)

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Q: Find the solution set of the following equation if x € [-2TT,3TT[ [2sen(4x) − 1] × [1 + tan(x)] = 0…

A: We need to find solution set.

Q: ✓ z Find J 1+sin -cos COS In sin 2+cos z 1+sin-z In | In 1+cos - 2 1+0 +C +C +C

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About…

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Q: Determine the absolute extrema of the given function on the specified interval. 1.) f'(x) = 1 + 80x³…

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Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: Given function is:

Q: Q21 A\ Are this function continuous f(x) x³-1 at xo = 1?

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Q: 2.Evaluate the total derivative of u with respect to x for u = 4x4+3y² + 3z² when y = sinx and z =…

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Q: a. Let y = f(x) = 2x² + 2. For x > 0, let A(x) denote the area under the graph of f from 0 to x.…

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Q: What function will you differentiate to get each function? 2. f(x) = 8x74x³ + 2x - 3 →

A: solution:-f(x)=8x7-4x3+2x-3antiderivative of f(x)F(x)=∫f(x)dx       =∫8x7-4x3+2x-3dx…

Q: Show * ਤੇ t [s² (s²-2)] sinh42, 2√2

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Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

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Q: Prove the trigonometric identity. tanzcot z sec² z CSC Z CUSZ Drag an expression to each box to…

A: Trigonometric

Q: Additional Activities What function will you differentiate to get each function? 2. f(x) = 8x74x³ +…

A: Let differentiation of F(x) leads to the function f(x)=8x7-4x3+2x-3 So, F'(x)=f(x)=8x7-4x3+2x-3

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: The given curves are x=2+y-42 and x=3.   Now find the point of intersection between the curve…

Q: lle s [ (s+5) ³ ] Use convolution to find L-19

A: Let's find inverse laplace by using convolution theorem.

Q: x² +1 x³+1 B x²-x+1 B x²-x+1 16. Partial fractions of A - a. x-1 A b. x+1 - will be of the form C.…

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Q: Find the exact value of the trigonometric function of using the given format: 5п Let then is in Q…

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Q: Find the derivative of the function f(x), below. It may be to your advantage to simplify first. f(x)…

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Q: Let y = 5x³(x7 - 5) Calculate the derivative using the product rule. f(x) = and g(x) = which means…

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Q: [₁ In(x² + 4)dx

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Q: Water is being drained from a reservoir at the rate of w(t) cubic meters per minute at time t. What…

A: Solve the following question

Q: Given that f(-5)=2, f'(-5) = -4, g(-5) = -7, g(-5) = 6,

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Q: Consider the series + ++4+4+.... Does the series converge or diverge? Select answers from the…

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Q: 2. A rocket is launching vertically upward from a point 2 miles east of an observer on the ground.…

A: Let's find speed of rocket.

Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: Let's find area under the curve by using two rectangles.

Q: An automobile manufacturer wishes to control the number of nonconformities (defects) in a…

A: answer is in next step . please give a like !!

Q: 3) The initial population of a certain type of animal is 5, 000. After one year, the population has…

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

Q: 6. Compare and contrast the properties of the 1st Derivative of various functions with its 2nd…

A: The first derivative is the slope of the function, and the first derivative test is used to find the…

Q: Find the sum of all rectangles shown in figure below in terms of x and y. x x/2 x/4 y/4 y/2 y

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Q: 3. Given the equation y = x³ - 3x² + 3, determine all Critical Points and classify using the SECOND…

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Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

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Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of co will the solution…

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Q: For the function y = f(x) 8 1+z² a. Find the slope of the line tangent to its inverse function at…

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Q: 6) Use double integral to find the volume of the solid bounded above by the paraboloid 9x² + y²,…

A: We can find the volume of the solid by using double integral .

Q: Evaluate fx cos² 2x² dx

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Q: Q5/Change the polar equation 2r = 2 + cos8.(2r - 1) to Cartesian equation

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Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of co will the solution…

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Q: (2x² - x - 1) x³ - x² ; 2 dx

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Q: d. 2x³ + 1 x4 + 2x 12x -dx h. 1 ²x² - 2x + 1 x² dx

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Q: dN (t) dt = g(N(t)) = a · N(t) · ( 1 · (1-N()) 9 M N (0) = No > 0,

A: We have to find the logistic curve .

Q: How is vector calculated? What techniques/rules are used to find vector equation?

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Q: Point T(√3/2, 1/2) is the point of intersection of the unit circle and the terminal arm of angle…

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

Q: Evaluate the integral. (Use C for the constant of integration.) /1+√x ox dx

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