Find the inverse function of  f.​ f(x)=8x-1/3x-4 x cant equal 4/3

Q: The definite integral (-+) dx when evaluated is equal to - 11 Find the value of a." 12 3Vx. a

A: Given ∫49-xa+13xdx = -1112we know that∫xn dx = xn+1n+1 + C

Q: Find numbers a and b, or k, so that f is continuous at every point. 3x+ 9, if x<-6 f(x) = { kx+ 6, i...

A: Hair we are given that the function is continuous at every point. we use the concept of limit for fi...

Q: 5х —7 (х — 3)°

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Q: х — 1 x² + 8x + 15

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Q: Evaluate the integral fw(2w + 3)² dw A.) w+4w3+w2 + C B.) w+2w3+9w2 + C C.) w2(w2+4w+9/2) + C D.) 2w...

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Q: The slope of a curve is given as (2x + b and has a value of at 16 2x3 x = 2. What is the value of y ...

A: Given slope of curve dydx=2x+b+12x3

Q: Operators. Unlike with the Left Side of the differential equation, we will not be able to factor, bu...

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Q: 18. A bus traveling at 66 ft/sec along a straight , level road decelerates at constant rate of 22 ft...

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Q: derivative

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Q: Use implicit differentiation to find the tan x sec?x 9. y' of sec?x + csc²y = 9 ans. y' = coty csczy...

A: topic - implicit differentiation

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Continuity of Functions at a Point Determine if the given functions f(x) are continuous or not at th...

A: According to question,Given Function,fx = x2 + 2x +1 at x = 2

Q: Ordinary Differential Equations M- 06. Solve the following initial value problem over the interval f...

A: since you have asked about only part a  Given initial value problem dydt=yt3-1.5y     ; y(0)=1

Q: ах 6. What should be the rewrite of the integrand of S, so that the resulting integral 2!+cosx is in...

A: Topic = Integration Correct option = a

Q: 13

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Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y ...

A: Solve the curve by using cylindrical shell method.

Q: What is the derivative of the following function

A: Given that: 1. h(y)=y1-ey2. f(t)=1+5tln(t)

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, ...

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Q: Using bisection method with [a1, b1] = [1,2] , estimate the root of x – 2 + Inx = 0 such that the to...

A: Given: fx=x-2+lnx a1, b1=1,2tolerance=fxi+1-fxi tolerance=0.01-------------------- Bisection Method:...

Q: 3. The fuel used by a car is defined by f(x)=3x=/80-6x+245. where x is the travelling speed in km/h....

A: The fuel used by the car is given by the function: f(x)=310x2-6x+245 where x is the speed of the car...

Q: Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. S 1, 0sx s 1 x > 1 ...

A: Given that dydx+y=fx  , y0=1  fx=1  ,0≤x≤1-1    x&gt;1Solution:When 0≤x≤1dydx+y=1 this is the linear...

Q: 2. (D2 + 3D)y = -18x: v = 0. Dy = 5 when x = 0

A: Given differential equation is  D2+3Dy=-18x  and the given conditions are y=0, Dy=5 when x=0 find th...

Q: Determine if the given function is a continuous on each of the given intervals. A. f(x) = 3x³ + 4x² ...

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Q: Question 7 This is a cuboid. Which of the following is not a net of a cuboid? B

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Q: 9. An object is shot upwards from ground level with an initial velocity of 3 meters per second; it i...

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Q: 4. The sum of two positive numbers is 30. One of the numbers is multiplied by the square of the othe...

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Q: cOS X -dx | sin? x

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Q: 1. Find the indicated values. f(g(8)) |x| f(x) g(x) s(8(5)) 1 5 g(f(5)) 2 5 8(5(3)) 3 2 4 4 1 S(S(4)...

A: Use the given table for finding the value of function 

Q: Given the geometric sequence: 36, 120, 400, ... Find an explicit formula for an, where the first ter...

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Q: TC 4 |(sin x – 1) dx +| (cos x + 1) dx = %3D TC 4

A: Intigration

Q: Question 16 dx What should be the rewrite of the integrand of S so that the resulting integral is in...

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Q: 3cos3x-1 uate f dx, the integrand can be tran 1-sin2x Bcos3x + csc²x)dx

A: We have to choose the correct answer from the given options according to the given information

Q: Q4 (a) By using properties of Laplace Transform, find (i) The Laplace Transform of f(t) = 2e sin 4t,...

A: Let's find. 

Q: Given a function f (x) whose graph is shown below. 3 2 h -3 2 -11 2 3 -2- Determine lim f (x).

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Q: Function Type Differential Operator ... AxN + BxN-1 + . + C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx...

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Q: x + 1 dx x,

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Q: Find the center of mass of a thin plate of covering the region between the x-axis and the curve y = ...

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Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x2 + 10. ...

A: Given, P-profit x-number of units sold dP/dx= 0.0006x²+10  

Q: t Complete the table of values to evaluate lim t0 sin t f(t) f(t) -1 1 -.5 0.5 -3 0.3 --1 0.01 -.001...

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Q: 11. Find the total area between the parabola y = x² – 4x, the x-axis, and the ordinates x = -2 & x =...

A: Here we have to find the total area between the parabola y=x2-4x, the x-axis and the ordinate x=-2 a...

Q: ssume you are given the surface S with equation æ² + + = 1. = 1. 9

A: We can use distance formula to solve the problem

Q: cos(2x)81-x (x*+1) Given f (x) = Use logarithmic differentiation to find the derivative of the funct...

A: According to question,Given function,fx = cos2x81-x4x2 + 1

Q: dy If dx and y = 14 when x = 1, find y(2). 3x-2 27

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Q: 4. Summation of two variables: E(x, +y;)=E×, +£v, i-1 Example Evaluate the following given that x, =...

A: We can find the answers as below.

Q: Find the antiderivative of 5$sinx ln 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin...

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Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

A: As per guidelines we can solve only three subparts at a time, so the first three subparts of the que...

Q: Let z = f(x,y) = 6x - 9xy + 4y. Find the following using the formal definition of the partial deriva...

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of th...

Q: Given the differential equation y"' + 7y" + 6y' = 10x sin(4x) Find the Differential Operator for the...

A: Topic = Differential equation

Q: 31, 32, 33, and 34 Use the Squeeze Theorem to find the limit. 31. lim xy sin (æ, y)→(0, 0) x2 + y²

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