Question Select your answer. The function below is continuous on which of the following intervals? [-3,0) (-00, -3] (-3, 5] [-3, 00) Answer

Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then factor the...

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Q: Question 4 (sin(3t))^2(cos31)) dt

A: To evaluate the integral ∫sin23tcos3tdt Formula used: Power rule of differentiation ∫xndx=xn+1n+1+c ...

Q: ,3lnx +2x4 "dx A) 3lnx 2x4 x3 D 3lnx+ 2x4 E None

A: Using substitution method.

Q: Find the arc length of the curve r(t) = (2t3/2, cos 2t, sin 2t) from t = 0 to t = 1. %3D

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Q: Before starting your studies at EHL, you need to buy new suits. Each suit is made of a jacket, a tro...

A: According to given, Total purchase= 450+560+180+240+290+85+89+96+92= 2082 Since the purchase price &...

Q: 3. Construct an angle of 65° from two straight lines and bisect the angle.

A: Construct an angle of 65 measure at O using protractor

Q: Changing the catesian to polar coordinate.

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Q: Q2. If ƒ = In(x² + y² +Z? ) then find the divergence of f also find its magnitude at (1,-2,3).

A: Topic:- vector calculus

Q: Does the series converge or diverge? n=1 (In 1.5)"

A: We will use ratio test to find convergency.

Q: x-'In²(Ine*) dx A Inx B Inx C Ine" D Inx2 E) None

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Q: While taking a walk along the road where you live, you accidentally drop your glove, but you don't k...

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x, y, z) = 2x + 2y...

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Q: Consider the following functions. f(x) g(x) = 3x + 9 Find (fo g)(x). Find the domain of (fo g)(x). (...

A: Here f(x)=2/x and g(x)=3x+9 (1) (fog)(x)=f(g(x))              =f(3x+9)              =2/(3x+9) The fu...

Q: Calculate the Taylor polynomials T(x) and T3(x) centered at a = 8 for f(x) = In(x + 1). T2(x) = (r-8...

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Q: )A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate prop...

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Q: 3. %3D x +4 Start Över

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Q: 27 for fC ), Obtain Fourier series of period where flx) = メ -下SYくO oく*くて

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Q: is represented by the series 2n=0X x" x2 Find the function that is represented by the series En-o= 1...

A: Topic:- sequence and series Note:- as per our guideline if more than one question uploaded than only...

Q: At what point is the tangent line to the curve y° = 6x² perpendicular to the line x y - 9 = 0? NOTE:...

A: Since tangent line of the curve y3=6x2is perpendicular to the line x-y-9=0, then multiplication of t...

Q: 5) For p > 1, the root test applied to Ln=1 nº is inconclusive (C). 5.

A: Given

Q: Determine the point/s of discontinuity, if there is any, and the type of discontinuity at that point...

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Q: Find the time functions for each of the following Laplace transforms using partial-fraction xpansion...

A: As per our guideline, we are advised to solve first 3 subparts of the question . So please ask other...

Q: V tano do %3D V2

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Q: 1- arctan x dx

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Q: 3lnx +2x*dx A 3lnx B 2r4 | 3lnx + 2r4 D E None

A: To evaluate ∫e3 ln x +2x4 dx.  

Q: At an exhibition, the probability of visitors on the first day is 3/5. The ticket price for a visito...

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Q: DO NOT include spaces in between characters. * Determine the point/s of discontinuity, if there is a...

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Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then do u-sub) ...

A: The integral is given by I = ∫-∞015x-12dx Formula Used: ∫u-ndu = u-n+1-n+1+C To evaluate: The value ...

Q: range of the function. (a) If f(x) = 3x + 4, find the image of 4. (b) If f(x) = 7x + 5, find the ima...

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Q: Let y(x) be the solution to the following initial value problem. dy (In x) y(1) = 1 dx x y? Find y(e...

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Q: Find the difference quotient and simplify your answer. f(x) – f(64) X – 64 f(x) = x2/3 + 1, X # 64

A: We know, (a²-b²)=(a-b)(a+b) (a³-b³)= (a-b)(a²+ab+b²)

Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days. (Rou...

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Q: (a) Find the number of distinguishable permutations of the letters MISSISSIPPI. (b) In how many of t...

A: topic - permutations

Q: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. (Hint: if you calculate using de...

A: This question can be solved by substituting n=4 in the general approximation of definite integral by...

Q: The sum of the bases and altitude of a trapezoid is 36 inches and the base is 6 inches longer than t...

A: We need to find dimensions of trapezoid.

Q: F(s)

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Q: Find a domain on which f(x) = (x −3)2 is one-to-one and non-decreasing, then find the inverse of f r...

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Q: 4" – 3" 00 Determine whether the series converges or diverges. If it converges, find its sum. n= 0

A: Solution: ∑n=0∞4n-3n5n Apply series ratio test an+1an=4n+1-3n+15n+14n-3n5n

Q: (a) f(x) is shifted 5 units upward. y = (b) f(x) is shifted 6 units to the right. y = (c) f(x) is re...

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Q: sinrdr In(cosr-3)c cosr -3

A: The objective of the question is evaluate the indefinite integral with suitable substitution.

Q: -2 The function graphed above is decreasing on the interval The inflection point is at x = on 2-

A: Solution: Clearly by graph we can observe that  

Q: Use Simpson's Rule with n = 4 steps to estimate the integral. dx O 18 O 15 36

A: Given:    f(x) = x  Limit: 0 to 6    n = 4

Q: 2. Consider the power series 1 (-1)*+1 (x-5)" 4nn What is the center ? What is the interval of conve...

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Q: Solve the differential equation y'+xy=0 using power series.

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Q: 1. Determine whether the series converges using any appropriate test. Identify the test for converge...

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Q: S sinrdr In(cosr – 3) ° cosr -3

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Q: kdt, where k is constant k A True B) False

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Q4: Find the following limits if exist:-- x-1 x2-x 1) limx-1²+2x-3 2) limx-1 x²+3-2

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Q: Find the absolute maxima and minima of the function on the given domain. T(x.y) = x +xy +y- 12x +2 o...

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