Find the rules for the composite functions fo g arld go f. f(x) = 4√x + 1; g(x) = x² + 5 fog = gof=

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Q: 1. Find the general solution for the following differential equation. a. y'= 2y - 4x

A: You have posted multiple question which are not interlinked and i can solve only one question as per…

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Q: ind the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A: To find the volume of the reagion

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Q: For any real number b > 1, and any real numbers x True False log, (x - y) = > 0 and y> 0, it must be…

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Q: The base of a solid is a circular disk with radius 8. Parallel cross sections perpendicular to the…

A: Given :A CIRCULAR DISK WITH RADIUS = 8Volume=∫abAxdx

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Q: Estimate using the linear approximation equation the value of 2023.

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Q: 4. Find an equation of the tangent line at the given point. at (2,√5) a. y² = = x-1 x²+1

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Q: For the region bounded by y = 8 - x³, the x-axis, and y-axis, determine which of the following is…

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Q: The graph is the following function. f(x) = x sin ( 10 ) {x # 0} and 0 {x=0} The function is…

A: If a function is continuous at x = k then limx→k-f( x ) = limx→kf( x ) = limx→k+f( x )

Q: Given that  lim x→2 f(x) = 1    lim x→2 g(x) = −4    lim x→2 h(x) = 0, find the limits, if they…

A: According to bartleby guidelines we are supposed to do only three subparts. If you want to solve…

Q: Find the general solution for the following differential equation. c. y' = (y-2) cotx

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Q: d [cos³ (x²)-csc(x²)] dx

A: We are required to find the value of ddxcos3x2-cscx2     The following formulas of derivatives has…

Q: Find the following for the vectors v = 9i - 2k and u = i +j+ k. a. v•u, |v|, |u| b. the cosine of…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Find the surface area of revolution about the x-axis of y = 4 sin(72) over the interval 0 ≤ ≤7…

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Q: The graph of a function f is given. (Enter your answers as comma-separated lists.) a = 3 YA → 1 (a)…

A: Graph of the function is given, we have to find the given values.

Q: 3. a) Graph the given piecewise function f(x). 4x + 3, x≤ 0 (-x+1, x > 0 f(x) = -7 -6 -5 -4 -8 -R -1…

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Q: Find the volume of the solid generated in the following situation. The region R bounded by the…

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Q: Consider the following. quadratic X y -2 5 -1 -3.5 0 -8 1 -8.5 2 -5 3 4 14 Find the equation of the…

A: The given data is:

Q: cos²x-1 COS X = - tan x sin x

A: We have given equation to prove cos2x-1cosx=-tanx sinx Taking left side of the equation  LHS…

Q: 10+ 9 8 7 6 5 4 3- 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3- -4 -5 -6 -7 -8 -9 -10+ 1 2 3 4 5 6 7…

A: Graph of the function is given, we have to find the values of…

Q: Find the laplace transform for the following functions: 1. f(t)= t' 2. f(t) = = n-1 n-1-bt e (n-1)!…

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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

A: The answer is in step 2.

Q: Find a function f(x) such that ƒ'(x) = −2x² + 6 and ƒ(0) : = f(x) = -4

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Q: Determine the graph of the cylinder x2+y2=9. Choose the correct graph of

A: According to guidelines we can solve one question.thanku

Q: f(x) 2 0 X 1) Given the graph of f(x) above, use geometry to evaluate each of the following parts…

A: Given the graph of fx above, by using geometry to evaluate the following integral.∫03fx dx

Q: The number of bacteria in a culture is modeled by where t is in hours. (a) The initial number of…

A: The number of bacteria in a culture is modeled by nt=1750e0.39t. We have to find the required…

Q: nd the center of the mass of a thin plate of constant density 8 covering the π gion bounded by the…

A: Please see the below picture for detailed solution.

Q: Let lim f(x) = 23 and lim g(x) = 8. Use the limit rules to find the following limit. X-3 X-3 lim…

A: We have to find the limit.

Q: Find the vectors T, N, and B at the given point. P(1) - (2², 32², 0). (4.-16, -2) r(t) = t),

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Q: Let R represent the event that Aryan will take the bus tomorrow. If P(R) = %, determine P(R"). 1/5…

A: according to bartleby guide line we do only first part of multiple question.there for please re post…

Q: Solve the separable differential equation dy t dt t²y+y Use the following initial condition: y(0) =…

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Q: Let f(x) = 2x²-3x+1 2x² x-6 This function has: 1) A y intercept at the point 2) x intercepts at the…

A: As per Bartleby guidelines we only give first three questions answers. Please repost for other…

Q: a) Graph the function f(x)=2x² + 4x b) Draw the tangent lines to the graphi t the points whose…

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

Q: FInd the derivative of: a) f(x) = 24/(3x+18)^6

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Suppose that x = In(A) and y = ln(B). Write the following expressions in terms of x and y (so you…

A: To express different log in terms of x and y

Q: (4) Given & & unit vectors and 1²₁³)=³/2 Find 12-31

A: Given  e and f are unit vectors.

Q: Find the volume of the solid obtained by rotating the region bounded by y = ln(x), y = 0, x=2…

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Q: Use the definition of continuity and the properties of limits to show that the function is…

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Q: Find the amplitude, the period in degrees, the phase shift in degrees, and the vertical shift. The…

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Q: Evaluate the limit in terms of the constants involved: lim (9t - 4at +4a) = −27+16a −27+16a((−3))…

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Q: -710 (-7 "divides" 0)

A: Given expression -7 | 0 what it means

Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded above…

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