Find the inverse function g (x) = 4x + 8                                                     6 - x, find g -1 (x)

Q: Find the general solution. (x³+3xy²)dx + (y³ +3x²y)dy=0 O a. x4-y4-6x²y² = c О а. O b. x*+y*+6x?y? =...

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Q: Homogeneous Differential Equation: (x* +2xy – 4y² Jdx – (x² – 8xy – 4y² kdy = 0 Use the substitution...

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Q: Find the derivative of y with respect to t. 1 y3D cot dy dt %3D

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Q: 26.The derivative of a sum is the sum of the derivatives. AEalse. B.True

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Q: 2x2 – 10 Find horizontal asymptote of y = 1522 + 7x + 15 Note: Give the exact answer but not the dec...

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Q: 8. find c in the int erval[-2,1] for f(x)=x² +x+3 f(b) – f(a) use f'(c) = %3D b- a

A: NOTE: Refresh your page if you can't see any equations. . take x=-2 . take x=1

Q: 0. The equatIon of the Tamily of straight ines with y-intercept and Sope equar is 7. The function (x...

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Q: Sketch the region enclosed by the curves and find its area. y = e", y= e3*, x = ln 2, x = lIn 3 In 2...

A: This question is based on application of integration.

Q: Homogeneous Diffe rential Equation: (x* +2.xry – 4y° kdx– (x² – 8xy – 4y² ldy = 0 Use the substituti...

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Q: Given the matrix below, find ATB. -1 21 A =5 0 and B = [3 -2 1] 7 Lo 4 2] 3 Choose your answer here....

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Q: Déterminer une valeur approchée de l'aire de la surface bleue ci-dessous composée d'un triangle rect...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: If f(x) is a linear function, f( – 3) - 4, and f(4) = 3, find an equation for f(x) f(x) = Question H...

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Q: Let f (z) = z+3 . We will use the definition of derivative to find the derivative of f (x). (1) What...

A: As per guidelines we can solve only three subparts at a time, So the first three subparts can be ans...

Q: Evaluate the integral: 13 – 64x dx - + C

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Q: 3. Given a = (--6,6, 3) and b= (1,-1, -2) (a) Give the exact value of the angle between vectors a an...

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Q: 2. Integration by trigonometric integrals/substitution: (4 – 3 cos (x)) sin°(x) dx

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Q: 1. Which of the following is logically equivalent to (-p V q)^(¬p Vq) ^(¬p Vr)

A: We want to construct a truth table first and then solve the problem.

Q: ind the first and second derivatives of the function. 1+ 12z W = (8-z) 4z dw dz dz? 2.

A: Topic:- derivatives

Q: Find an equation of the tangent line to the graph of the equation at the given point: f(x) = 3x2 + 9...

A: Tangent line  -  slope of tangent line will be equal to differentiation at that point.

Q: To Sketch the Graphs of functions using Derivatives. Problem. Consider the function f(x) = 8x - x' w...

A: Given: fx=8x2-x3f'x=16x-3x2 To sketch: The graph of the function using derivatives.

Q: Find the derivative of the function. 3x-4 %3D 2. X+6x y' = ]

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Q: 4. Homogeneous Diffe rential Equation: (r+2y-4y kx-(x' -8ry-4y kdy= 0 Use the substitution x = y = w...

A:   Differential equation  are mathematical tool to define rate of change for whole equation. 

Q: f(x)= 5.738e0287x By inspecting the graph of an exponential function, find the following. Note: Roun...

A: The given function,      f(x)=5.738 e0.287 x

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos( -2 <y <0...

A: Topic = Volume

Q: - 4x + 30 -dæ Evaluate (x – 5)(x + 5) + C

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Q: For t in years since 2010, daily oil consumption in China, in thousands of barrels, was approximated...

A: NOTE: Refresh your page if you can't see any equations. . here leading coefficient is positive and ...

Q: A total of 12 workers can complete a project in 16 days. If after 4 days of work there are 4 workers...

A: The objective is to find the number of days in which the project can be completed. 

Q: 6. Solve the inequality f(r) = 3(x- 5)(x+ 2)2 > 0 first algebraically your answer using the graph in...

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Q: 5. S[(3xcos(4 – x²)) – (8x V4 – x²)]dx

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Q: Given: f(x) = x + Vx; xo = 1 a) Find the instantaneous rate of change of y with respect to x at an a...

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,...

Q: 3. What is the derivative of y = (f(g(f[g(x)))? Furthermore, if you are asked to evaluate the deriva...

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Q: 1. Integration by parts: 2 3 .5x X°e dx

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A: First we simplfy the given function then derivative 5 times with respect to x.

Q: The possition function s(t) = -16t² + 350 Find : (a)average velocity over the time interval 2. %3D [...

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Q: Suppose that you are told that the Taylor series of f(x) = x*eª´ about x = 0 is x10 + + 2! 3! + Find...

A: Given the Taylor series of f(x)=x4ex2 about x=0 is x4 + x6 + x82! + x103! + x124! + ⋯   We know that...

Q: (iv) Which one is the correct statement (the next step to find f' (æ) by definition)? 13(Vz +3 – VE ...

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Q: A ball is thrown in the air from the top of a building. Its height is given by s(t) = –0.6t² + 36t w...

A: Let s(t) denotes height of an object at any time t. Then velocity of this object at any time t is gi...

Q: Find the inverse of the function f (x) = x-1 2x+3

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Q: (4) At noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailin...

A: Here we will find the distance between ships and rate of change of distance between two ships,  

Q: Evaluate ∫ e^−x2dx as an infinite series.

A: This question is based on indefinite integral.

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. If one ca...

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the d...

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Q: Find the volume of liquid needed to fill a sphere of radius R to height . R y

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Q: D^(3+1) (D-2)^(7+1) y = 48e^2x

A: Put D=m then solve it. 

Q: Exact Diffe rential Equation: x(3xy - 4y' +6) kx + (x³ – 6x²y² -1\dy=0

A: Check firstly it is Exact or Not.

Q: Use by parts find r'cos x dx Jo

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Q: 5. Solve using 2 techniques: (x - ky)dx + k(y – x)dy = 0 where k = a +b %3D Dind th diff

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Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C , A and B are constant, C is a parameter

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Q: dx 2x² 2. + 6

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A: Function continuity and differentiation  Drichlet conditions