Practice Composition of Functions Given f(x) = 2x² +8 and g(x) = 5x - 6, find each function. 1. (f+g)(x) 2. (f-g)(x) 3. (f.g)(x) (1)(x)

Q: Use the slider to graph the standard position angle, then write the radian measure in degrees. - 5п…

A: Given: Radian Measure: -5π6

Q: Find an equation of the tangent to the curve at the given point. x = sin(?t),      y = t2 + t;…

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Q: 4 9. 54 = a¹

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Q: The function f(x) has a critical point at x = 3. This could mean that A. There is a minimum at x-3…

A: Given that the function f(x) has a critical point at x=3.

Q: To test an individual's use of a certain mineral, a researcher injects a small amount of a…

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Q: The graph of f(x) is shown below. Estimate and list the value(s) of a where f(x) has a horizontal…

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Q: F(W) = + [TS(W-5) + 3 (W-5) +TS(W+5) + = 1/2 [717 S(W_S) + TS(W+S) + = [TT-S (W-S) + -S(W-5) + πTS…

A: The term in the circle is wrong. I have showed the correct term which should come after simplifying.

Q: 36. f(x) - 8 x-2x²x2 If lim = 3, find lim f(x) x-2

A: As per our company guidelines, we are supposed to answer only the first question, please repost…

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: (A) Find plane equation through points (2,4,5),(1,5,7) and (-1,6,8) and then find the area of the…

A: Given Coordinates of point = (2,4,5) , (1,5,7) ,(-1,6,8) We want to find equation of plane and area…

Q: (a) Find x, y, z and B, where [0 x 37 A= 1 -3 y; A² = 1; c(4+1) + 3B7 = 2A and I: unit matrix 4 4…

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Q: Q6A A-Graph the cubic shape formed by connecting the eight points {(0,0,0),(0,1,0),(2,0,0),…

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Q: (b) Find the volume of the solid generated when R is rotated about the x-axis.

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Q: Given that the function (x+2)(x+1), if x>b-2 -x+4, if x≤b-2 is continuous at x=b-2. If b>0, find b…

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Q: Rewrite the expression without using the absolute value symbol. |x + 1|   if x ≥ −1     if x < −1

A: The given absolute value x+1 we have to rewrite the expression without using absolute symbol.

Q: Integrate зав тв2 xp (2x +B) da t 2 y 9 x ₂²¹ + xop dp x. P (2x +B) Jyo xo, Yo, y tIR. Choose to, yo…

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Q: B] Find the values of the functions 1. f(x) = 2x²x+3 2. f(x)=√x²4 Find (a) f(-3) Find (a) f(-2) (b)…

A: This question can be solved using the concept of value of a function at a given point.

Q: The graph of y = f(x) is given below (in blue), along with several related graphs (which are in…

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Q: For the function, find and simplify f(x) = 6x² f(x +h)-f(x) h f(x+h)-f(x) h (Assume h = 0.)

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Q: Solve the compound inequality: 6≤2x−8<12.

A: We have to solve compounded inequality for x.

Q: 3x² + 3y² - 6x − 24y + 24 equation of a circle with center (h, k) and radius r for: h = and k = and…

A: We have to find the center and radius of given circle.   According to our guidelines we can solve…

Q: State the domain and range of each relation. Then recognize whether the relation is a function or…

A: Given relations:- a) y=-3x+12-4b) y=1x+3

Q: Compute the following partial sums for the series Σ(-1)kk-³. (Give exact answers. Use symbolic…

A: Concept: Series: The total of the terms in a sequence constitutes a series, which is not a list of…

Q: The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games"…

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Q: Question 15 The angle between 0° and 360° that is coterminal with 1630° is M

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Q: derivative of the function using the definition of derivative: g(t)=5/√ t

A: Given query is to find the derivative using definition of derivative.

Q: .x = y + dy dr X2 - y²

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Q: If a linear function is such that  f(3) = 9 and f(5) = 15, then f(4) = ?  (Hint: No work…

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Q: Question 9 b B 11° b≈ A 12 Note: Triangle may not be drawn to scale. Given the triangle above,…

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Q: 3. f(x)=; X+5 X-4 4. f(x)= |x-1| Find (a) f(-3) Find (a) f(-1) (b) f(-3) + 4 (b) f(-1) + 2 (c)…

A: Given functions:- 3. fx=x+5x-4 4. fx=x-1

Q: For 0<t<, a particle moves along the y-axis. The velocity of the particle at time t is given by v…

A: We have to find the acceleration and if particle or speeding up or slowing down.

Q: 1. Find the G.S. and P.S. of y" = 6x, y'(0) = 2, y(0) = 1.

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Q: 7. Calculate the Present Value of the investment described in the table. Compounding Period Time…

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Q: which of the following is not created when a plane slices through a cone? A: Point B: Rectangle…

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Q: 36. f(t) = 10 + 45 t+1

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Q: Write out the form of the partial fraction decomposition of the function. Do not determine the…

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Q: Compute the average rate of change of the given function over the specified interval. f(x)=x^3,[6,7]

A: Given query is to find average rate of change for the interval [6,7].

Q: 1. S e2x dx 25-4e4x

A: Note-according to battleby guidelines there are no rule such as answer typewritten only, so here I…

Q: Solve the equation by factoring or the Quadratic Formula, as appropriate. (Enter your answers as a…

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Q: if f(x)=cospix, find the extact value of a such that f(1)-f(-1)/1-(-1)=cos a.

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Q: 4. < y:5

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Q: E] Find domains and ranges of the following relations? Write domains and ranges in interval…

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Q: The population of a town in 1920 was 2700 people. The town's population decreased linearly, and in…

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Q: 7 Find the lateral (side) surface area of the cone generated by revolving the line segment y = 3x,…

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Q: Use the graph of f(x) to evaluate the following: 4 3 1 f(x) 2 + LO X 6 The average rate of change of…

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Q: D. Find the equation of the circle determined by the given conditions. Show your complete solution.…

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Q: If x=log b5 and y= log b2, express log 50 in terms of x and y. log +50= (Simplify your answer.)

A: Given query is to express logarithmic term as x and y.

Q: A small business can produce a maximum of 43 of its product per month and sell them for $7 each. The…

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Q: Consider the following function. f(x) = x4 − 2x2 + 9 Find  f(−x)  and simplify as much as possible.

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Q: If w xy O 2y z O 2xy a: N N 1. find wis y

A: Given a multi-variable function w.