1. f(x) da converges, then If f(x) ≤ g(x) for all z in [a, +∞o) and converges. g(x) dx also

Q: 2 [*x* (Inx)² dx

A: Given integration is evaluated.

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Q: ¹ ( 7 (x − 3)). Consider the function f(x) = 4sin((x-3) +6. State the amplitude A, period P, and…

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Q: (a) Find (in terms of m) lim f(x) z--1¹ Limit= (b) Find (in terms of m) _lim_ f(x) Limit= (c) Find…

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Q: Find a polynomial function of degree 5 with -2 as a zero of multiplicity 3, 0 as a zero of…

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Q: The population of a town grows at a rate of r(t) 400 e0.2t people per year (where t is the time in…

A: The population of a town grows at a rate of rt=400.e0.2 t people per year.At time t=3, the town's…

Q: Find the arc length of the curve x = -2y³/2 from y = 0 to y = 10. Length =

A: Solve the following

Q: Solve the following integrals. 3.) So Sy dxdy y²-x²

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Q: (B): Find the integration by using substitution method √x√2x - 1 dx

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Q: $500 at 5% compound continusouly for 11 years. Round to the nearest cent

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+32)sin(t)dt

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Q: Find the values of x for which the function is continuous. -6x + 5 if x O x # 0 O x # 5

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Q: S. (2w² - 5w+3) dw 4. S. (36+4) ² db 1 v dv S. 6. v² 7. J. ze³z²-1 dz 8. S.2²2 ydy 5. e

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Q: The director of the school play has to assign 5 lead roles. If the roles are being chosen from a…

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Q: sin4 x cos5 x dx

A: To solve: The integral ∫ sin4xcos5x dx Formula used: cos2x=1-sin2x Power rule of integration:…

Q: 0 - [1 4 Find the determinant of A = = 1 2 03 -3 8 - using a cofactor expansion.

A: We have to find out determinants

Q: find the solution of the problem with given initial value, using homogeneous equations with constant…

A: In this question, we want to find the solution of the given IVP using homogeneous equations with…

Q: Let f be the function below. You can click on the graph to get a larger image. M Determine the…

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Q: Find the arc length of the curve x = Length = -2y³/2 from y = 0 to y = 10.

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Q: Evaluate h(4), where h = go f. 3 f(x)=√x²9, g(x) = 6x³ +9 h(4) =

A: The given functions,fx=x2-93, g(x)=6x3+9

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

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Q: seconds after the start of the movement. (B) Use Tabular integration to evaluate the following: -…

A: Let's evaluate given integral by using tabular method.

Q: (-1)n+1 Given that ³²= 24 x²n. Obtain the power series representation of each of the following 9+x²…

A: Given: Now,           -39+x2' =-319+x2' =-39+x2-1' =-19+x229+x2' =-3-19+x22· 2x=6x9+x22

Q: Find the derivative of the following functions by using the limit definition of the derivative.…

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Q: 2. Let f(x) = 24. Sketch the graph of f(x) on the graph below. Then use the graph to find the…

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Q: 5- ABCD is a trapezoid whose diagonals AC and BD intersect at the point E. If AB=2/3 DC, prove that…

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Q: -1 7. S. ze³2²–1 dz S² ydy 8. J.2

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Q: Find the tangential and normal components of the acceleration vector at the given point.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 17 Evaluate the integral: SERV - dx x²√x² + 25 (A) Which trig substitution is correct for this…

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Q: Find the taylor series of the following functions for the given points:- 2- f(x)= sinx a= π/4 3-…

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Q: Find the tangential and normal components of the acceleration vector. r(t) = 4(3tt³)i + 12t²j at X…

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Q: (b) Find the dimensions of a box with a square base with surface area 20 and the maximal volume. Use…

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Q: 1. The population of a town grows at a rate of r(t) = 300 e0.2t people per year (where t is the time…

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Q: find the given differential solution, using homogeneous equations with constant coefficients.…

A: Solution: The objective is to find the general solution of the given homogeneous differential…

Q: Given the vecor-valued function R(t) = cosht i ln(t+1) j+et k, find lim h→0 R(0+ h) - R(0) h O…

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Q: = 0.3t centimeters per minute 2. The depth of the water in a tank is changing at a rate of r(t) O,…

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Q: 4- Given U=[2,2,3] and v=[1,-3, 4], and w = [6, 2, 1], evaluate the following expressions) |uxu +…

A: If you have any doubt feel free to ask.

Q: 2. A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F.…

A: It is required to find the initial temperature of the inside room using the given conditions…

Q: Q4: (A) particle moves in a straight line with an acceleration a(t) = (2t + 3)-3 m/sec² If the…

A: Let's find velocity 2 Second after the start of the movement.

Q: A child enters a carousel that takes one minute to revolve once around. The child enters at the…

A: Given problem:- A child enters a carousel that takes one minute to revolve once around. The child…

Q: Use false position method find the diameter (D) of the pipe which satisfies the follow ation:…

A: answer is in next step

Q: (a) If (tanh x) = 1/4, find the value of sinh x without a calculator. Show the procedure of your…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: 3 Sketch the graph of each function for-27≤x≤2. a y sin (-x) by=2 sin (-x) cy=3 sin (-x) d Explain…

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Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

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Q: = a A person's intelligence quotient (IQ) is measured by the function I(m, a) = 100m where a is the…

A: This question can be solved using the concept of rate of change of quantities.

Q: Calculate the partial derivative d using implicit differentiation of x³w+w7+ wz² + 2yz = 0. дz Use…

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Q: find the given differential solution, using homogeneous equations with constant coefficients.…

A: Given:y''+2y'-3y=0

Q: 1 (2m-3)√4m (m-3) dm

A: Given

Q: 1. a. Given the points A(1, 2, 4), B(2, 0, 3), and C(4, 4, 4), i. determine the vector and…

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