If f(x) x+1 4x 3x + 5 13x + 5 3x + 3 13x + 1 3x + 2 and g(x) = 3x x + 3' then (gof)(x) is

Q: 80. A cubic function is a polynomial of degree 3; that is, it has the form f(x) = ax³ + bx² + cx +…

A: f(x) = ax3+bx2+ cx + d on differentiating,   f '(x) = 3ax2 + 2bx +c which is a quadratic in x and…

Q: Use the quotient rule to find the derivative of - 10 sin(x) - 4 7x⁹ + 10 You do not need to expand…

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Q: Set up the double integral [ f(x,y) dA, where f(x, y) = 5e¹²r – 5 and D = {(x,y) | e¹/³ ≤ x ≤ e, 4ln…

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Q: mine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does…

A: Given query is to find sequence converges or diverges .

Q: Determine the corresponding differential equation for a family of circles with center on the x-axis…

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Q: If f(x)= f'(x) = f'(4) = = 3 tan x X " then

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Q: The equation x = ex 10. O (A) has two real solutions O (B) has one real solution O (C) has…

A: Make graphs of  y= x and y= e-x

Q: Find dx 11 for y = 9x2 sin x + 18x cos x – 18 sin x. dx

A: Finding the derivative of y

Q: Then determine the x-coordinates of all relative maxima (minima). 1.  F is increasing on the…

A: Given: fx=4x+8x To find: Intervals on which function is increasing or decreasing, point of relative…

Q: The domain of the function f(x) = √e-4-elx-3|—x is O(A) the empty set (B) a half-line of the form…

A: The given function is  f(x)=e-4-ex-3-x

Q: Find the equation of this quartic that goes through the point (0, - 2). ا 3 2 1+ 0 -1 2 -5 -x

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Q: Match the vector field with its graph. F(x,y) - d + 30 트 토 ++ 11/

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Q: 1. Evaluate the given integral [(4x³ - 3√x) dx 12x² a. - 3 2√√x + C 2 1x²-3x² + c x4 X2 C 4 b. 3 x4…

A: Solve the intregal

Q: 7. For the function f(x) = 4x 3 + 3x2 − 6x + 1, D = (−∞, ∞) (a) Determine on which intervals f(x)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Q2. By finding an apporppriate integrating factor, solve (3x²y + 2xy + y³) dx + (x² + y²)dy = 0.

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Q: 5. Only

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Q: Consider the following function. f(t) = 70e0.4t (a) Find the relative rate of change.       (b)…

A: Given query is to find relative rate of change

Q: An exponential function in the form y = Provide your answer below: b = 1024(6) contains the point…

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Q: Calculate the derivative of the following functions. Use the rules for derivatives. a. w(x) = x² +…

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: A company produces a special new type of TV. The company has fixed costs of $489,000, and it costs…

A: Given that demand (sales) verses price is linear. That means it have two points we can find the…

Q: If f(x): = cos x 7 tan x, then f'(x) = f'(4) =

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Q: Find the general solution of the following differential equations:- 1) x² (y² + 1)dx + y√x³ + 1 dy =…

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Q: 3. A sample of paraffin wax is being heated in a laboratory. The tem- perature of the paraffin is…

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Q: log7 (x + 2) + log7 (x - 4) = 1

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Q: The demand function for beer is given below, where p is the retail price and D(p) is the demand in…

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Q: Find the short test distanse between the two curves y = Sinx ² and x² + y² where the interset 2…

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Q: A country's postal service will accept a package if its length plus its girth (the distance all the…

A: Let x be the a side of the square base and y be the length of the package.

Q: Let S be the solid in the first octant situated between the planes 40x + 40y + z = 40 and 8x + 8y +z…

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Q: If f(x) = 7 sin x + 9 cos x, then f'(x) = f'(5) =

A: We can find the 1st derivative and the derivative at the indicated number in the below steps.

Q: where c = m = 8 6 -3 4 2 -4 -6- -8- -10- The net signed area in the above graph can be written as…

A: See below the answer and explanation

Q: Find the centroid of the region lying underneath the graph of the function f(x) = e over the…

A: The given function is: f(x)=e-x      over the interval  0, 4

Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes…

A: solution:-r(x)=x-1x+3x+1x-7x-interceptr(x)=0x-1x+3x+1x-7=0x-1x+3=0,   x+1≠0, x-7≠0x=-3, 1x-intercept…

Q: The graph of y = f'(x) is shown below. Assume the domain of ƒ(x) and ƒ'(x) are both ( − ∞0, -5 -4 -3…

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Q: The graph of the function f(x) = log5 (x) is stretched vertically by a factor of 8, shifted to the…

A: Recall y=cf(x)  stretch the graph of y=f(x) vertically  by  a factor  Cy=f(x-c)   shifted  the graph…

Q: xdy +y=xy dx 3

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Q: ← → CO Exit 2-1: Assignment October 26, 2022…

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Q: Let f(x) = x³ + 6x² (a) Use the definition of a derivative or the derivative rules to find ƒ'(x) =…

A: Given function:- fx=x3+6x2-96x+19

Q: Solve the DE with Linear Coefficients (16x+5y-6)dx + (3x+y-1)dy = 0

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Q: Find the indefinite integral. (Use C for the constant of integration.) √ 25 e2x 25+ e est dx

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Q: Use the Rational Root Theorem to determine the possible rational zeros for the function f(x) = 3x¹ +…

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Q: b) y = 2x + 5

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Q: Sec (30) (08300 8. You lean a 20 foot ladder is leaning against a wall so you can replace a burned…

A: Given query is to find the rate of change of the top of the ladder.

Q: + -4 -3 -2 -1 12 a what interval(s) is f(x) decreasing? what value(s) of a does f(x) have a maximum…

A: Topic :- calculus

Q: L₁ : x = −2+₁ y=1+2+ z = 3+ L2+x=-6+25, y = 4+15=2=5th Find the point of intersection of the two…

A: To find the point of intersection of the following two lines.L1: x=-2t, y=1+2t, z=3tL2: x=-6+2s,…

Q: Evaluate the following integral. * 1 π/4 SSS sin sin ™X sin 2y sin z dy dx dz 0 0 0 X 1元/4 SSS sin…

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Q: Find an equation of a plane through the point C-5, 4₁-32 Which is or thogonal to the line X= 5+-1₁…

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Q: equation, find dy/dx evaluated at the given values. y²-x5= = -7 at x = 2, y = 5

A: Topic:- application of derivatives

Q: A The equation below gives the position s= f(t) of a body moving on a coordinate line (s in meters,…

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Q: Using transformations to graph and state the domain and the range of the following y 1)f(x) = log2…

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