Find f[g(x)] and g[f(x)]. f(x)=√x+4, g(x) = 18x² - 13

Q: • • Let > be a potential for the vector field F = (−2 y³, −6 xy² − 4 z³, −12 yz² + 4 2). Then the…

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A: Approach to solving the question: Lets Solve this question By Using Stokes' TheoremStokes' Theorem…

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A: 1.∫−∞∞​4x2+4x+5dx​ Step 1: Simplify the denominator The denominator is 4x^2 + 4x + 5. Start by…

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Q: IV. Consider the function f(x) = esin 2x 1. Find the second-degree Maclaurin polynomial of f(x). 2.…

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A: The given function is:f(x)=x2−9x2−5x+6​ Find the values where the denominator is…

Q: can you explain why the correct answer is A

A: Step-by-Step SolutionThe given function f(x) is represented by its Fourier…

Q: g Ske Find the area of the region bounded by the parabola x = 2y- y² + 1 and the line y = x + 1

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Q: Find the limit. (If the limit is infinite, enter 'oo' or '-o', as appropriate. If the limit does not…

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Q: x-4 Let f(x)=5x-1, h(x) = Find (fo h)(0). 3 (fo h)(0) = (Type an integer or a fraction.)

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Q: 1. how do i find the value at which f is discontinuous and is f continuous from the right, or from…

A: Step 1:Step 2:Step 3:Step 4:

Q: The path of a particle moving in a straight line is given by s = t^3 - 6t^2+ 9t + 4, where s is in…

A: Let's solve the problem step by step.Given the equation of motion: s=t3−6t2+9 Step 1: Find velocity…

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Q: 2. f(x) = x³-3x² +4 Find all relative extrema, inflection point, and the intervals of concavity 5 3.…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: The graph below is the function f (x) -D -3-2 4 3 2 Q2 03 Find lim f(x) = x-1- Find lim f(x) = x−1+…

A: Step 1: Step 2: Step 3: Step 4:

Q: Pls help me with accurate answer pls

A: Step 1:Ship A starts 40 nautical miles west of Ship B and is sailing west at 18 knots (18 nautical…

Q: Solve the initial value problem: y= 0.05y + 5 y(0) = 100 y(t) =

A: We are solving the initial value problem: dtdy​=0.05y+5,y(0)=100.  This is a first-order linear…

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Q: C = (2√3)/3 or (-2√3)/3 within the interval (-2,2)

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Q: If f(x)=x2+4, g(x)=x-6, h(x)=sq root of x, then (f o g o h)(x)=

A: The notation (f o g o h)(x) represents the composition of three functions f, g, and h. In other…

Q: 6. (i) Sketch the trace of the following curve on R², (t) = (sin(t), 3 sin(t)), tЄ [0, π]. [3 Marks]…

A: Step 1: Step 2: Step 3: Step 4:

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A: Step 1:Step 2: Step 3: Step 4:

Q: Total marks 15 5. (i) Let f R2 R be defined by f(x1, x2) = x² - 4x1x2 + 2x3. Find all local minima…

A: 5 (i)(ii)6(i)

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A: Let's analyze the problem step by step.We are given two column vectors:  Final AnswerRank of AAA:…

Q: Calculate the arc length of y = 5x + 1 as a varies from 0 to 1. S Submit answer Next item Answers…

A: The problem is asking us to find the arc length of the function y = 5x + 1 as x varies from 0 to 1.…

Q: determine the final and initial value of the expression below: Help

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Q: ASAP 1

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Q: help me solve this

A: We have given the curve, y=4sin(x) at the point (6π​,2),   Step : 1 Find the derivative of y =…

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Q: 2. Let f(x) = 2x² + 6. Find and completely simplify the rate of change on the interval [3,3+h]. (5…

A: We find the rate of change of f(x) = 2x2 + 6 on the interval [3, 3 + h] by using the formula for the…

Q: #70

A: We evaluate the integral:  ∫x3x4−6x2−7​dx  Step 1: Simplify the integrand Divide each term in the…

Q: Solve showing a step by step and the final answer.

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Q: Please refer below

A: f(g(−2))=−4g(f(1))=−2f(f(2))=−1g(g(−3))=−3

Q: Question 4 The plot below represents the function f(x) 8 7 3 pts O -4-3-2-1 6 5 4 3 2 + 1 2 3 5 -2+…

A: Step 1:Step 2: Step 3: Step 4:

Q: Let ä(t) = (3,-2,-5)t + (7,−1, 2) and (u) = (5,0, 3)u + (−3,−9,3). Find the acute angle (in degrees)…

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Q: The final answer is 8/π(sinx) + 8/3π(sin 3x)+ 8/5π(sin5x)....

A: Writting the first few terms,  f(x)=π8​sin(x)+3π8​sin(3x)+5π8​sin(5x)+7π8​sin(7x)+⋯

Q: Draw the unit circle and plot the point P=(8,2). Observe there are TWO lines tangent to the circle…

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A: Step 1: Step 2: Step 3: Step 4:

Q: Find the length of the curve x= from y = 1 to y = 2. 2 8y

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Q: Find the following limit or state that it does not exist. 2 3x² +7x+2 lim X-2 6x-8 Select the…

A: Given Limit: limx→2​6x−83x2+7x+2​ Step 1: Check Continuity at x = 2 A limit exists if the function…

Q: Find the average value gave of the function g on the given interval. gave = g(x) = 8√√x, [8,64] Need…

A: The average value gave​ of the function over the interval [8, 64] is 7180​.

Q: 21. First-Order Constant-Coefficient Equations. a. Substituting y = ert, find the auxiliary equation…

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Q: "l Use implicit differentiation to find Əz and az ах 2 22 ay 3 x ² 2 - x², ² + 22² = 3 y 2 - 5=0…

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Q: A vector with magnitude 5 points in a direction 190 degrees counterclockwise from the positive x…

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Q: Find the limit lim X-700 4 13x-15 3x4+x³-12

A: We find the limit of the given function:limx→∞​3x4+x3−1213x4−15​ Step 1: Identify the highest power…