9. Find the (f o g)(x) and (g o f)(x) of f(x) =a and g(x) = 3x+2

Q: 1. Consider the function f (x) = {-x – 6, x 0 %3D Use table of values to find the limit of the foll...

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Q: Find the inverse function g (x) = 4x + 8                                                     6 - x,...

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Q: 5) Evaluate the integral.cusc c for the constan6 of integrafion) 2(ean cx) +6an cx>) dx

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Q: For the following composite function, find an inner function u = g(x) and an outer function y =f (u)...

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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: Question 1 For each improper integral below, show that it diverges or find its value. (a) | Va In z ...

A: in multiple question we are allowed to answer only first three sub parts of question.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

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Q: Find a unit vector u in the direction opposite of (-8,-4, -9). u =

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Q: 8. A company is increasing production of oven mitts at the rate of 4 per day. All oven mitts that ar...

A: Revenue function , R (x) = x P(x) Where P is the demand function  and x is the  price per unit.

Q: Solve the problem. A garden hose is spraying a stream of water at a box on the ground with a force o...

A: Force= 4.8 pounds , angle with ground= 30°  Find horizontal component of force 

Q: Suppose that y varies inversely as the square of x, and that y = 9 when x = 13. What is y when x = 1...

A:

Q: Find the critical points of the following. 1. R(t)=1+80t3+5t4−2t5

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Q: x +1 xp- x3 + x2 – 6x d.x

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as ...

Q: Cy+2)(3y-1)

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Q: S Vx + 3(x + 1)dx

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Q: 2xy + x² + x*)dx –(1+ x²)dy = 0

A: See the details solution in below

Q: A board 5 feet long slides down a wall. At the instant the bottom end is 4 feet from the wall, the o...

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Q: Find the derivative of the function. h(s) = -2/7s2 + 9 h'(s) Need lel

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis.  y = Square root...

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Q: Find all points (x.y) where f(x,y) has a possible relative maximum or minimum. 10x.y) = x² - 5xy + 6...

A: f(x,y)=x2-5xy+6y2+3x-9y+8consider fx=0⇒2x-5y+3=0⇒2x-5y=-3consider fy=0⇒12y-5x-9=0⇒5x-12y=-9 Solve th...

Q: x³+2x dx x2+1 .3

A: We can solve the integration as below.

Q: 5. Find the Curvature of ř (t) = L", Int,tInt) at the point (1,0.0)

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Q: Let f(x) = x8 - 8x6. When the tangent line is vertical, what is the derivative of f(x)?

A: Here we will understand the vertical tangent line and we will find derivative of given function,

Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6000. ...

A: We have t find the number of units that needs to be produced for making the marginal revenue zero.

Q: Let f(z) = 221 + 20 z – 6 Which of the following statement is true? O There is a c in the interval (...

A: see below the answer Intermediate value theorem:-  If a function f is continuous on the interval [a,...

Q: x3+2` dx x2 x3

A:

Q: 3) Find the area and circumference of each circle. Round the answer to two decimal places. ( use n=3...

A: Given problem:-

Q: Consider the following. cos(x) + Vỹ = 3 (a) Find y' by implicit differentiation. y'= (b) Solve the e...

A: We have to find y' by different method as p[er given in question.

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Given Cost and Price (demand) functions C(q) = 100q + 45000 and p(q) = - 2.8q + 950, what profit can...

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Q: gien oferdone (D- JI) (D +3I); the to the grven finctions e-3%

A: (D-2I)(D+3I)=D2+3D-2D-6I=D2+D-6I Apply the operator on e2x (D2+D-6)e2x=D2(e2x)+D(e2x)-6e2x=D(2e2x)+2...

Q: Find all the second partial derivatives forf (x, y) = x³y5 + 2x*y.

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Q: On the graph of f(x) = cot x and the interval [27, 47), for what value of x does the graph cross the...

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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: 1. g(t) = (4 – t²)ś first derivative %3D critical numbers stationary points (relative extrema) secon...

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Q: You start driving away from Morgantown at 12:00. Your distance away t hours after you left is given ...

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Q: Solve the given differential equation (3x-3y-2) da – (x – y+ 1) dy = 0 %3D | |

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Q: For questions 2-5 please determine the following: a). End behavior of f(x). b). Determine the r-inte...

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Q: Find the average of the function h (x) = 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: h(x)=4x2-x+5 on the interval -2, 3

Q: Factor the following: f (x) = 2x4 – 3x3 - 6x2 + 5x + 6 Select all the correct factors of the functio...

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Q: Write out the form of the partial fraction decomposition of the function appearing in the integral: ...

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Q: 8. The cost of producing x ounces of gold from a new gold mine is C = f(x) dollars. a) What does f'(...

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Q: 4. An analyst has found that Granny's Surf Board Company monthly profit function is: P(x)=-0.05x2 +5...

A: Solution: P(x)=-0.05x2+50x-2000

Q: B. Find the value of the limit. 1. lim *+1)²(x-1) x1 x³+1 x²–4 2. lim x1 x2-3x+2 x²-4 3. lim x2 x-2

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Q: Solve the following system of equations, using whichever method you wish. x+ 2y = -1 2x+4y = -2 • If...

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Q: Use the graph of the function to answer the following. f(x) = cos(x) on the interval [-27, 2x] 2 -27...

A: Given that f(x)= cosx and in interval [-2π,2π]. We find increasing and decreasing interval and also ...

Q: On the grid below: a) Graph & label each and all transformations using different colour pens of g(x)...

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Q: Given soel end price cdemand) functions Cq) 120g 40,200 and p(q) = -2.1q + 890, what is the marginal...

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Q: The population of a city is 140,000. It declines continuously by 3% per year. Assuming this trend co...

A: We can find the final population as below.

Q: Write a chain rule formula for the following derivative. for u = f(p, q); p = g(x, y, z), q = h(x, y...

A: Given problem:-