Find the average value of the function f(x) = 3x¹ on the interval 2 ≤ x ≤ 5. Round your answer to two decimal places, if necessary.

Q: 2. Solve for the following rates, treating all variables as functions of t dr (a) Solve for dl (b)…

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Q: Solve the following equations. 1. (xy + y²)dx-x²dy = 0

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Q: A Airport 25° 47° 28 B 40 779 C Geological Dig 30

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Q: (D3-2D2-5D +6)y=e4x, Find Yp O a. 1 24 O b. 1 4x e O d. 9 O c. 1 6 4x e ∙e 4x 1 18 O e. none e 4x

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Q: EXAMPLE 4 Evaluating Trigonometric Functions Given tan = and cos > 0, find cos 0 and csc 0.

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Q: Find the area of the region enclosed by the curves y = 4 sin x and y = 4 sin 2x for 0≤x≤t. O A. O B.…

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Q: Find the surface area of the part of the sphere x² + y² + z² = 100 that lies above the cone z = √x²…

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Q: Ify = Σo(k + 1)xk+3 then y' = Σο

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Q: Find the tangent line to the graph f(x) = 6e^-8x at the point (0,6).

A: To find the tangent line to the graph of fx=6e-8x at the point 0, 6.

Q: Given f(x) = 3x2 + 5 and g(x) = –2x, calculate f(g(x))

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Q: 3D + 2)y = ex, Find -ex et -xex xex

A: We have to choose the correct option from the given options according to the given information

Q: Find the Cross product of A= and B=

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Q: Question 9 (D2 + 5D + 4)y = 3 - 2x, Find Yp a. 11 8 O b. O C. 11 d. 11 11 8 8 ४ | 3 O e. none + 8/3…

A: The given differential equation is: D2+5D+4y=3-2x So, we can also write as: y''+5y'+4y=3-2x

Q: 12. Using the substitution u = = √x. S₁. (A) 25e" du (B) 25e" √x e" du dx is equal to which of the…

A: The given integral: ∫14exxdx

Q: You deposit $300 each month into an account earning 6.5% interest compounded monthl a) How much will…

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Q: Evaluate the following indefinite integral. fo-[ dt Note: Don't forget your C! And be sure to use an…

A: We are required to evaluate the indefinite integral∫et6+etdt

Q: answer

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Q: nterval of convergence for the power series Econvergence = n=2 n(x - 2)" 22n (Enter your answer as…

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Q: (D2 - 3D + 2)y=e5x, Find Y = Yc + Yp O a. O b. O C. O d. C₁e* + C₂e² + 1 2r 12 e -X C₁e + C₂…

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Q: 1. An arithmetic series is defined by the formula a = 2n+1. a) What is the first term of the series?…

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Q: 4. (x² + y2)dx + 2xydy

A: To solve the given differential equation

Q: Find the roots of (D4 + D² + 1) a. D*1#ys 2 1± √3 1±÷√/3 2 O b. OD-183-1243 −1± √3 - 1 ± i3 Oc1+i√3…

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Q: (D3-2D2-5D +6)y=e4x, Find Yp O a. 1 4x 24 O b. 1 O c. 1 6 O d. 4x 4x 1 18 O e. none

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Q: Find the values of c such that the area of the region bounded by the parabolas  y = 16x2 − c2 and y…

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Q: (D3-2D2-5D +6)y=e4x, Find Yp O a. 1 24 Ob. 1.4% O c. 1 4x 4x O d. 1 4x e 18 O e. none

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Q: Calculate ff f(x, y, z) dS For Js f(x, y, z) ds = y=7-2², 0≤x, z≤7; f(x, y, z) = = 2

A: we need to solve the given double integral

Q: (D² - 3D + 2)y = ex, Find Yp O a.-ex O b.ex O c. -xex O d.xex O e. none

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Q: If a car gets 21 kilometers per liter of gasoline, how many miles per gallon of gasoline would it…

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Q: Check Point 3 If sin 0 < 0 and cos 0 < 0, name the quadrant in which angle lies.

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Q: Find (as a unit vector with negative first term) an eigenvector of the matrix corresponding to the…

A: NOTE: Refresh your page if you can't see any equations. . and the given eigenvalue is

Q: Find the c value that satisfies the Mean Value Theorem. f(x) = 3 + √√x on the interval [0,4]

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Q: For y=f(x)=9x3​, x=4​, and Δx=0.08 find   ​a) Δy for the given x and Δx ​values, ​b) dy=f ′(x)dx​,…

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: Set up and evaluate the integral for the area of the shaded region. y = 4-x y=16-x² Set up the…

A: Given two curves y = 4 - x y = 16 - x2first find intersection points 4 - x = 16 - x2x2 - x - 12 = 0…

Q: What is the local maximum values of f(x)=x-6/x^2

A: To find point of local maximum/minimum value, Put f'(x) = 0 and solve for x. The obtained value of x…

Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.)…

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Q: lim X-X 3-C 3+C 2

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Q: 22 of 86 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 1. If y=xsinx, then dy dx (A) sin x + cos.x (B) sin x +…

A: Since, you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: Compute f(x) f'(x) f"(x) f" (1) = = = = f(iv)(x) = 1 1+x² 2x (1+x²)² f(x) = Σ k=0 (6x²-2) (x²+1) ³…

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Q: The graph shows the number of fatal automobile accidents in a certain state for various years.…

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Q: Find the critical numbers and absolute extrema for 2x³ у . Type DNE if an answer does not exist. The…

A: The given function is y=2x3-39x2+216x on the interval 3, 10. We have to find its critical points and…

Q: ) Compute the average rate of change of the function h(x) = 3x² +9 on the interval [0, 6]

A: Given query is to find average rate of change.

Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

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Q: Consider the function f(x) = 4√√x + 6 on the interval [3, 8]. Find the average or mean slope of the…

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Q: 5. y =12x-3 -2

A: Given query is to find the equation of the inverse function.

Q: Find the area under the given curve over the indicated interval. y = 2x; [3, 5] 12+ 0 y ff ai 6

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Q: Find the area of the shaded region. 3 f(x) = 8x + 2x² − x³, g(x) = 0 gr -4

A: NOTE: Refresh your page if you can't see any equations. . given functions are and the limits of x…

Q: Use the ratio test to determine if the series converges or diverges n 3+2n n In(n) Σ - n=2

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Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. da (463-1) 25 dt = ab…

A: Given query is to find the derivative.

Q: (D3-4D2)y = 5, Find Yp O a. 5x² 4 O b. 5x² 4 O C. 5x² 12 O d. 5x² 12 O e. none

A: To find Yp