1. Evaluate each of the following integrals. If partial fraction decomposition of the rational function is needed, rewrite in terms of partial fractions, before integrating. (vii) √√√3-x² + 2x dx

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A: Given  and

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A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

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Q: To complete the process legible

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Q: Question 5 Let f(x)=√√4x+1. (a) Find the equation of the tangent and normal line to the graph of ƒ…

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Q: find the derivite of 9 sin squared (-6x to the sixth power)

A: The answer for the given question has been solve step by step below please find the attachments…

Q: Letr→ (t) = 52 √√2t-3,3 sin(-4t) > 5t-2' Find fr→ (t)dt (don't include the +C) fr→ (t)dt = . + C

A: Hence Complete the solution.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Given f(x)= -5^(2x) -6 , determine • the equation of g(x) given that g(-x) = f(2x) • the range • the…

A: Given:  To Find: To determine the equation of .The range of .The x-intercept (if any) of .The…

Q: (a) Find the extreme values of f(x) = 2x3 + 3x2 - 12x + 1 on the interval (0, 2). (b) If f' (x) =…

A:

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A: The base of the triangle is decreasing at a rate of ≈ 3.012 cm/min.Explanation:Step 1: Given:…

Q: dy Q3 Find dx implicit differentiation of r3+22-3ry² = 15

A:

Q: Continuous Compound Interest Jesaki Bank offers a 10-year CD that earns 2.5% compounded…

A: 5.8 yearsExplanation:Refer to the attached image for the step-by-step solution:

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Q: Prove that 3 is prime.

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Q: In the figures, which of the shaded regions (A, B, C, or D) has the area given by the following…

A: (a) A and C(b) BExplanation:Step 1:The only thing we should know to solve this question is that if…

Q: A trough with trapezoidal cross sections is formed by turning up the edges of a 54-inch-wide sheet…

A: Given:A trough with trapezoidal cross sections is formed by turning up the edges of a 54-inch-wide…

Q: #9: Use the method of variation of parameters to find a particular solution to the following…

A:

Q: Equations are given whose graphs enclose a region. Find the area of the region. (Give an exact…

A: The area is:A=12253​Explanation:The given curves are: f(x)=x3,g(x)=x2+6x To visualize the bounded…

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A: We need to find the angle the guy wire makes with the ground at anchor 1.

Q: d x-3 Use the Quotient Rule to evaluate and simplify dx 2x-5

A: Let f(x)=x−32x−5f′(x)=ddx(x−32x−5)Using the quotient ruleddx[f(x)g(x)]=g(x)f′(x)−f(x)g′(x)[g(x)]2

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: To find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: f) |x| = x if x ≥ 0 and |x| = −x if x < 0 _ g) If f'(x) = h'(x) for all x, then f(x) = h(x) for all…

A: We need to provide whether the given statement is true or false.

Q: Find the partial derivatives of the function က် ထိ စီ ။ ။ ။ w=v4r2 +882 +7t2

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Q: Suppose for a particular commodity, & = 1.7 and that currently 70,000 units are selling for $16…

A: A 1% increase in price decreases the total revenue by $8,030.40.Explanation:Given:Price per unit =…

Q: уа f(x) -g(x) The area of the shaded region in the graph above is described by which of the…

A: Hence Complete the solution.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 9. Now we'll apply the Integral Test in an example. Determine whether following these steps: 1 an =…

A: The objective of this question is to determine whether the given series converges or diverges using…

Q: Find the indicated partial derivative. f(x, y) = 5xy⁹ + x³×8 fxxy = fyyy =

A: fxyy​=360y7+168x2y6fyyy​=2520xy6+336x3y5Explanation:Given the function,f(x,y)=5xy9+x3y8 Finding the…

Q: A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of…

A:

Q: A company estimates that the weekly sales g of its product is related to the product's price p by…

A: SolutionA)11/5B)$2166.94C)$2276.86Explanation:Step 1: Explanation for question

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 5)Option A is correct answer  6) Option D is correct answer Explanation:

Q: What is the slope of the normal to y= x-2 * at (2, 0)? x+2

A: Given a rational function.y=x−2x+2To find: slope of the normal to y=x−2x+2 at (2,0)

Q: Hello Continuing with this problem, shown in the picture, where the  parameterization for S was…

A: The area under the given curve is 0 sq. units.Explanation:After the conversion of the variables to…

Q: 12. The population of a city is growing exponentially and can be modeled by the equation…

A:

Q: imit: 6-xy lim (x,y)-(2,2) x²+2y²

A:

Q: Suppose according to a large research poll in a certain year, 59% of respondents agreed that the…

A: a. To find the probability that a respondent agreed with both statements, we can use the formula for…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…

Q: graph  linear inequality t &gt;0

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Q: Suppose that an is a sequence of positive numbers such that Σan converges. Let bn be an arbitrary…

A: Regardless of the sequence bn, the series ∑n=1∞​an​bn​converges. This conclusion holds because we…

Q: = Water is flooding into a basement at a rate of f(t) = -2√√t + 5. Water is being pumped out at a…

A: a) 6.2288 ft3        b) -0.989 ft3/hr         c)  Volume max. @ t=1.457 hrs,    Total amount of…

Q: 1an with a₁ = 2, an+1 = an with a₁ = 3, an+1= 1+sin(n) n 3n-1 2n+5 an an v. vi. n=1

A: (v) Given that the series is                  Thus, the series is convergent by the ratio test.

Q: (Text' . | Find a ⋅ b if |a| = 5, |b| = 4, and the angle between a and b is radians. 8 • a b =

A: The formula for the dot product is : a⋅b = ∣a∣ ∣b∣ cos(θ)a⋅b  = 5* 4 *cos(π/8)a⋅b   = 18.4776…

Q: a. Using the Law of Sines, determine the value of m/C. You should notice that there are actually two…

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Q: A direction field for the differential equation y' x cos Ty is shown. (a) Sketch the graphs of the…

A: All the answers are in the explanation part.Explanation: To sketch the graphs of solutions that…

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A: The correct unit vector pointing uphill as steeply as possible is approximately (−0.9798,−0.1952),…

Q: iv. Σ n=1 40n (2n-1)2 (2n+1)2

A: The given series

Q: 4. The diagram is a rectangular prism. Let u = AB, v = AD and w = AE. Express each vector as a…

A: The diagram of the rectangular prism isthe side vectors of the rectangular prism are