8.5 A OL 20.48 Cn

Q: 4. S(x - 1)/sin (2x - x2) cot (2x– x²) dx (Trigonometric Integrals)

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Q: The table gives the population of North Dakota, as of July 1 of each year, as estimated by the US Ce...

A: Given the table of the population of North Dakota, as of July 1 of each year .Here Let t=0 correspon...

Q: 1 2. S- (1+ 2x-x²)2 dx (Trigonometric Substitution) 3

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Q: Determine the infinite limit. lim X+ 6 x+7+ X – 7. -00

A: Solution: limx→7+x+6x-7 Rewrite =limx→7+(x+6).limx→7+1x-7

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

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Q: Let y = 3/. Find the change in y, Ay when x = 1 and Ax = 0.1 Find the differential dy when x = 1 and...

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Q: find the area y=x y=x^2-2

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Q: O Suppose me put earning 3%interest for tong will it take (in of $28,000 Round +

A: We will use the concept of Compound interest to evaluate the time.

Q: The length of a rod is 9 in. and the linear density of the rod at a point x inches from one end is (...

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 lim 5 5 + x x--5

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Q: (a) Show that every member of the family of functions y = (6 In(x) + C)/x , x > 0, is a solution of ...

A: Topic = Differential equation Use formula for loglnab=ln a- ln b  

Q: 1. ſx3 tan-1x² dx (Integration by Parts)

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Q: x2 It can be shown that 1 – 6. sinx < 1, for x near 0. sinx Evaluate lim O 1 O undefined O DNE O Non...

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Q: Evaluate the integral: |(322 + 1)(x³ + x+2)*dx

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y = x3 , x =...

A: Here, the given region is bounded by the graphs of y=x3, x=2 &amp; y=0 is shown:

Q: -2 х 6. dx 1-x

A: Topic = Integration use ∫1xdx=lnx+Clnx⇒x is NOT defined for negative values of the independent varia...

Q: Find y(t) for the integral equation y(t)+ (t – T)y(7)dr = 1 by using Laplace transform. O y(t) = et ...

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Q: At noon, a thermometer reading of 75°C was brought outside a building where the air temperature is a...

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Q: Vhat is the second derivative of f(x) = x'e? II

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Q: II. Evaluate the following. 1. 2x+4x-3 dk 2. Sx-8 x-2 3. J vx*-2x'+x*dx

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Q: Determine the infinite limit. 5 - x lim x-6 (x – 6)2 -00 8

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Q: During a preliminary survey of an asteroid, chemical analysis indicated that a certain radioactive n...

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Q: xyA/viewform? Is this sequence Geometric, Arithmetic, or Neither? 2, 4, 12, 48, ... Arithmetic Geome...

A: As per our guidelines we are supposed to answer only one question please post another question as th...

Q: +∞ dx 5. S. 9x2+4

A: ∫a∞fxdx =limt→∞∫atfxdx

Q: 18. In the graph of the function y = f(x) below, A and B are two points on the smooth, continuous cu...

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Q: For the function below, determine where f(x) is increasing. f(x) = 2x + 8z – 12 (-3,0) (-3,0) U (0, ...

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Q: One exploratory mapping session for a 1m by 1m can last 5 minutes. The new mapping system should be ...

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Q: Problem 2. Show whether the infinite series below converges or diverges. 3 – ek ek +5 k=3

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Q: Use L'Hospital's Rule to evaluate each of the following limits. sin2z+7z2±2z 4. z2 (z+1)2

A:  l' hospital rule means differentiation of numerator and denominator separately Value of sin 0=0 Cos...

Q: Find the volume of the solid generated by revolving the region (illustrated  by the figure below) al...

A: We have to determine the volume revolution of solid about x = -1 bounded by curves x=y and x=y. Firs...

Q: Using a line integral, find the area of the portion of the cylinder x =sqrt(1 − y2) that lies betwee...

A: Here is the solution of the given problem:  Surface area by using line integral:

Q: QI/ Find G.S for following D.E (4x- 2y+2) dx -(2x-4y+2) dy 0 12

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Q: 2. Find the equation of the tangent line to the curve defined by the equations: x(t)=t?-3,y(t)=2t-1,...

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Q: 11+88

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Q: Use Symbolic notation and fructions where needed. use c for the arbitrary constant. Absorb into cas ...

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Q: Consider the conservative vector field 4 8 F(x, y, z) = – 3y²cos (3nz),37y sin (3tz) – x2). 2xz, %3D...

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Q: The annual profit P (in dollars) of nursing homes in a region is given by the function P(w, r, s, t)...

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Q: Find an equation of the sphere that passes through the origin and whose center is (9,8,-9). = 0 Note...

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Q: ammy's teacher described 1/x as getting smaller as x gets larger. This is because 1 is being divided...

A: For f(x) = 1/x As x is increasing the value of f(x) is decreasing  

Q: 1. (1- х?) — ху %3 1 dx

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Q: VEvaluate the integral sing Integration by parts.. syabolic notation and fractions where needed Use

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Q: Find the arc length of the graph of the given equation from A to (x + 3)? = 8 (y – 1)3 A(-2,), B(5,3...

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Q: 2. If f(x) = x², g(x) = x- 2, and h(x) = 1/x, determine %3D %3D a. g-1 (h(x)) (b) f(h(2)).

A: Let's find. 

Q: Problem #02: Find the first and second derivatives of the function tabulated below at the point x = ...

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Q: Evaluate the limit using the appropriate properties of limits. (If an answer does not exist, enter D...

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Q: 3. Given Ln express the limit as n → ∞ as a definite integral, that is provide a, b and f(x) in the ...

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Q: Problem 1 For the following functions, find the intercepts, domain and ranges. f(x) = x- 16 g(x) = v...

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Q: (f) (x² + 1)7(3x – 7)*

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Q: at 2 Find absOIute maximum & minimum value fu)=x²-1 on [lile)

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Q: Determine the limit of the sequence or show that the sequence diverges by Limit Laws or theorems. If...

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