Use the trapezoidal rule withn = 5 to approximate 4 cos(x) -dx

Q: dx 14. Evaluate S: 9x2+36 a.)능an-1 3x +C b.) 습tan-12x +C c.) tan-+ C d.) tan-i 2x + C 15. Evaluate f...

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³–2x)* 1. у- ; d'y/dx? 2. Y = (5x³ + 2)6 ;...

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Q: An airplane heading due north has an airspeed of 260 km/h. It encounters a wind blowing east at 96 k...

A: Let u km/h be the velocity of a plane heading towards north and it is facing a wind blowing from eas...

Q: There are three conditions in which limits do not exist

A: First Condition   Limit fails to exist  when  The function approaches to some number from the right ...

Q: Examples: Find the limits of the following: 4. lim tanx tan"(-0) = - 2 5. lim secx = lim cos (-) = c...

A: Given:   Limit Equations is given

Q: A non-right triangle has the following three sides: b = 40.1, c = possible. 45.5, and a = 66.8. Find...

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

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Q: - Show that lim sin a =D0.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: Eliminate the arbitrary constant in the equatio y = cz +c +1 Oy= ry'+ (y') +1 O y =y'+(y')² +1 O'y=y...

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Q: 5. If 3x? +2xy + y? = 1, then y' %3D 1-3x-y c.) d.) - 3x 3x+y y? 3x+y a.) b.) x+y x+y 1+y 6. Evaluat...

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Q: An+1 Use the ratio to determine if the sequence { ne" }, +o is strictly increasing or strictly decre...

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Q: Suppose f is known to be differentiable and contains a local extremum at c, then which of the follow...

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Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x²V...

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Q: Find the Maclaurin series for the function f(x) = ln(3 + 4x)

A: Maclaurin series of function fx is a Taylor series of function fx at: a=0       fx=f0+f'01!x+f''02!x...

Q: Suppose f(x) is continuous for all x and positive for all a except at x = and/ f(z) dz converges. Se...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: The given series,       ∑k=1∞-1011k-1

Q: Find the Taylor's series for the function x4+x-2 centered at a=1

A: We use the Taylor series of f(x)=summation of fk(a)(x-a)k/factorial k from k=0 to k= infinity. where...

Q: :) y = xva² – x²,a > 0 and y = 0 -

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Q: The function f(x) = 3 + 6x + 96x has one local minimum and one local maximum. %3D (-4,–45) X Invalid...

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Q: 1 The function f (x) = 5 + 8x + 128x has one local minimum and one local maximum. This function has ...

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Q: Find the difference quotient f(a+h)-f(a) if f(x) = 2x – ! - 1 h

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Q: dx 3x2 + 11x + 6

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Q: 7. Analysis of the voltage in a hairdryer involves terms of the form sin(nwt – 90°), where n is a po...

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Q: A company that produces cell phones has a cost function of C cost in dollars and a is the number of ...

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Q: Given point P (5, 12), find sing. 5/13 5/12 12/13

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Q: :. f(x) = vx – 1 at x = 5

A: Topic = Functions The given function is continuous and differentiable at x= 5.

Q: Evaluate f(e* +2*) dx a.) 2e* ++C b.) e2* + 2ln* + C c.) e* ++C d) e2x + 2ln x + C Evaluate fesx-2 d...

A: This question is based on indefinite integral.

Q: Use the graph to determine the behavior of the function between the indicated points. Behavior of th...

A: From the given graph we can see that- - Between points A and B - The function is DECREASING  

Q: A solid E is made up of a cylinder, with radius 3 units and height 4 units, and a hemisphere attache...

A: Question 5 A solid E is made up of a cylinder, with radius 3 units and height 4 units, and a hemisph...

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

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Q: 2. Determine f'(x). Show all work. Зх + 2 f(x) = х2 — 4

A: topic - derivative of a function

Q: You invest $2100 in an account at an interest rate r, compounded continuously. Find the time require...

A: Continuous compounding interest is given byP(t)=P0ertP(t)=value at time t P0=original principal sum ...

Q: 3 -11 ) If D = A? - 3A + 41, find a matrix D where A = -2 1 4 and I is identity -3 matrix of order (...

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: sing sece cote O tane 01 II

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Q: Simplify 3 tan x cos x cot x (1/3)cosx 1 + cosx 3cosx

A: Given query is to simplify the trigonometric expression.

Q: QUESTION 1 Find of where f(x,y) = sin ax Oa. y Ob. -x Oc y-X cos d. O e. Non Request Help (RT) QUEST...

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Q: 7.2t +93t + 2 where h is the height A ball is thrown into the air and its position is given by h(t)-...

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Q: 1. dx (9+ e2r)

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Q: a. 15. A committee of three is to be formed from a group of four Math teachers and five Science teac...

A: topic - permutations and combinations

Q: Which of the following expressions does not equal 1? sec²x - tan²x csc²x - cot²x sin²x - cos²x

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Q: Let f(x) = /1– x and g(x) = . Determine the following composition and its domain. g° g

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Q: Evaluate the following integral | sec(VT) tan(v) dæ

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Q: 3. v? – 4v = -1.2975 – 2.1i

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: x3+ 4x2-9x-36 3. у 3 4x2+28x+48

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Q: Evaluate the limit of the function given the graph of the function. Considered the graph of Function...

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Q: Sketch the graph of a function that satisfies all of the given conditions. vertical asymptote x - 0,...

A: Here, given that a function has a vertical asymptote x=0. So, the function does not touch or cross t...