Find (g.f)(x) if f(x) = 4x2 + 2x + 8, and g(x) = 2x - 6 A 8x² + 4x + 22 B) 4x² + 4x + 10 C) 4x² + 2x + 2 D x²8 + 4x + 10 Last saved 2:16:05 AM

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) x6 + 6,000x³ +…

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Q: x-y x+y+1' 1. Let f(x, y) (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y + 1,y) Find:

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Q: Find the values of x, y and z that correspond to the critical point of the functio z = f(x, y) = 4x²…

A: for critical points put  fx=0 and fy=0∂xn∂x=nxn-1∂constant∂x=0

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A: MVT Theorem: Let f(x) is continuous on [a,b] and f is differentiable on (a,b). Moreover f(a)= f(b)…

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Q: (D) a translation 5 units to the right and 3 units up

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Q: Find the Taylor series, centered at c = 3, for the function 1 1-x² f(x) = ΣΠ n=0 The interval of…

A: Solve the following

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A: To solve the following problem and find the points of extrema

Q: h(t) = 4e5t-7t-3 Determine the value of h'(-1).

A: Given query is to find indicated derivative.

Q: Problem Solving: Show all pertinent solutions and box all final answer. 1. Evaluate fx²√1 + x dx

A: use the substitution method to solve the integral.

Q: Suppose that the monthly marginal cost for a USFS approved wildfire water pump is C'(x) = 40x + 715…

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Q: (b) Parametric equations: Rectangular equation: Parametric equations: y=2 sint X || y= 0 11/13x + 4…

A: Ques (a) Rectangular equation: x2+y2=4x2+2sint2=4x2=4-4sin2tx2=41-sin2tx=41-sin2tx=4(cos2tx=2cos(t)…

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A: Let's evaluate given integral.

Q: Suppose that w = x² + y² = z² and x = psin cose x = psing sine 2 = pcosd a. Find aw and aw 20 ap…

A: we will find the required.

Q: Determine each of the following limits using any technique, 3x-2x x-0 7x-4x b. lim (In(x)) a. lim c.…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: For x > 0, the function F is defined by Find F'(x): - Lo (³ +5³) dy In(x) F(x) = F'(x) =

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Q: 4.) [3x²(x²+2) dx

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Q: 3. Find the area of the shaded region. y=6-x² -2 4 2 -2 -4+ H 2 y = x

A: Here is the solution:

Q: (x) = [*cos(t¹) dt, then g'(x) cos(x7) — sin(x7) — sin(77) + sin(x²) cos(77) - cos(x7)

A: Given query is to find the derivative.

Q: Find the amplitude, the period in degrees, and the minimum and maximum values. Then sketch the graph…

A: Solution: 1) y=3cos θ4 The equation of the Cosine function is y = A cos(Bx + C) Amplitude, A=3

Q: Let F = (e³ª, sinº x, cos² x). Calculate curl(F). curl(F) =

A: Given  F = e5y, sin9x, cos2x We have to calculate curlF.

Q: 13. Find the domain, range, and right end behavior (xx) of each function below: (a) f(x) = -2(1.3)…

A: We know an exponential function is valid for all real number and it gives always positive real…

Q: The first derivative of a continuous function y = f(x) is y' = x(x − 3)². Find y' and then use the…

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Q: 14. A species of freshwater fish called Perch was introduced into a large lake. The equation below…

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Q: Answer the following questions about the function whose derivative is given below. a. What are the…

A: To solve the following problem and find critical points, maximum, minimum points.

Q: 2. (D4 + + 5D² +4) y cos (3x +4)

A: We need to solve D.E.

Q: Let F(t) = Find f(t)dt fr(t)dt = ([ 1 -5t + 4 , 2 cos(3t), √t-3 (don't include the +C) – 3). >+C "

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Q: Find the average value of f(x) = 2 sin²(x) over [0, 2π].

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Q: A table of values of an increasing function f is shown. X 10 lower estimate upper estimate 14 f(x)…

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Q: (4,5,-3) and b = −i +2j+ k → COMPUTE: 3. bxa a·b

A: Given that, a=4, 5, -3 and b=-i+2j+k We have to find the value of b×aa·b.

Q: Find the function y(x) satisfying dy - 12/13 = 8x and y(-1)= -6. dy - 12/13 The function y(x)…

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: We have to find if the given series convergent or divergent.

Q: 6. Define h(r) = for all r. Prove that the function h: R→ R satisfies the € - 6 criterion on R.

A: In this question, we want to prove that the given function satisfy the given criteria on R.

Q: Show that the given curve c(t) is a flow line of the given velocity vector field F(x, y, z). c(t) =…

A: We have to show the following conditions according to the given information

Q: (₂) Using the u-substitution, u = x + 3, identify f such that the integral help (formulas) ¹ [ f(u)…

A: Given integral  is ∫ xx+3   dx

Q: The point x O is a regular singular point of the given differential equation. Find the equation for…

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Q: The derivative of cos²x - sin² x 01 sin x cos x sin² x - cos x sin² x sin x cos²x t² dt is cos x…

A: Given query is find the derivative.

Q: At OHaganBooks.com, the rate of net sales (sales minus returns) of The Secret Loves of John O, a…

A: NOTE: Refresh your page if you can't see any equations. . the rate of net sales is given by where…

Q: If A is a matrix of size m x n and B is a matrix of size px q, then AB and BA are defined only if

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx B) Write the equation for the…

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Q: given the function and interval find a formula of RN:  f(x)= 5x+2 on [0,6]

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Q: A company's marginal cost function is C'(x) = 423 - 2x + 0.03x²2 where x is the number of units,…

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Q: 3.) [₁ y(2y² +1)* dy

A: To evaluate the given integral

Q: If f f(x) dx = 6, f f(x) dx = 2, and f, g(x) = -5, find f₁[2f(x) — 4g(x)]dx.

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Q: 1. Evaluate the line integral where C is the half circle x² + y² = 1, y ≥ 0. 1²+y² ds

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Q: Let f(x) = lim x →-5- - - 6 48 x-3 Compute the quantities below. Write "DNE" if the limit does not…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: find all solutions y(x) of the boundary value problem y"+9y=0, y(0) =3, y'(pi/3)=-3

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Q: lim cos TX x→1

A: Given query is to find indicated limit.

Q: If OHaganBooks.com were to give away its latest best seller, A River Burns through It, the demand q…

A: NOTE: Refresh your page if you can't see any equations. . the marginal demand function is given by…

Q: Find the area of a triangle with sides of length 12 and 30 and included angle 78 degrees. wer is

A: