I. Evaluate the following integrals. 1. / 20- dx 2 x)5/2" x(9 – In².

Q: Xely

A:

Q: 4 xp£

A: We have to find the integral.

Q: (a) If = cos (2x), then y= xp (A)cos (2x)+C cos* (2x)+C (C) sin(2x)+C 2. 2. 2. (D) sin (2x)+C (E)…

A:

Q: alculate the integral, assuming that 6 f(x) dx = -13 and f g(x) dx = 36. %3D %3D Give your answer as…

A:

Q: Solve the equation 4cos2B – 4cos B = 3 given that 0 < B < 2r. Provide your answer below:

A: We have to solve the quadratic equation, it's roots will give value of the solution

Q: -1x) dx

A:

Q: f'x) = g'(x) on [4, 7] %3D S(4) = 7 %3D g(4) = -9 f(7) = 6

A:

Q: 1

A:

Q: (-1)" V2n2 + 5 Given: power series (x + 1)" n=1 Determine if the resulting series of constant terms…

A:

Q: Consider replacing F by an alternative set of functional dependencies G: AP-> IT I -> ATP Is the…

A: answer is in next step

Q: Write TRUE if the statement is always correct and FALSE if otherwise. Prove your answer. (c) If am…

A: c)   If an≤bn for all n∈ℕ and ∑n=1∞an is divergent, then  ∑n=1∞bn is divergent.

Q: dy Find dz and simplify: y = ln(2x + V1 + 2a²)

A: The objective of the question is evaluate the derivative of the given function.

Q: Given: a, = In(n + 1) – In(n) for n E N || Determine if the following is convergent or divergent.…

A: Given  an = lnn+1 - lnn for n∈ℕ.

Q: Use polar coordinates to evaluate sin (a² + y²)³ dA, R

A: We have to find value of given double integration

Q: Find the aveas for Ehe following Vegions: 3- Regiun bounded by y=メナy=X and y=2 4-Region bounded by ५…

A:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: +o0 4+ cos? n Σ 3n – Vn n=1

A: The given series is: ∑n=1∞4+cos2n3n-n3

Q: In(tan-1x) dx с. 1+ x² 1

A:

Q: Consider the power series ), Vn² 22n (2.x – 1)" - n² +1 the rodiug ondintorzel of orio

A:

Q: 678 COS (x³) dx 3

A:

Q: 4. Evaluate dy and Ay for the function f at the indicated values: y = f(x) = x3 - 2x2 ; x = 1, dx =…

A:

Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: The given function is;  f(x,y,z)=xyz Constraints : x+y+z=16, x-y+z=12.

Q: 1 III. Consider an 1 for n eN = {1, 2, 3, ...}. 2n + 1 2n + 3 Find a general formula for the kth…

A:

Q: Question For the equation given below, one could use Newton's method as a way to approximate the…

A: To solve the following problem

Q: Use the 3rd Degree Maclaurin polynomial for g(x) = x COS to approximate the value of 0.2 cos(0.1).…

A: We have to find 3rd degree polynomial for the given function.

Q: | 62* cos (2*)

A:

Q: For items 3 - 7, use permutation or combination in solving the problems below. Many ways C O لصنجممد…

A: Total people: 9 godmothers, 9 godfathersArrangement around a round table.  Solution:  Fix one…

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

A:

Q: x + 2, untuk x 3 The following statements are true, except x + 2, untuk x3 Pernyataan dibawah ini…

A:

Q: Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric…

A: Given:    C-14 found 83.5 %

Q: Consider a triangle where A = 30°, a = 1.8 cm, and b = 1.3 cm. A C (Note that the triangle shown is…

A: topic - Law of sines

Q: Use the second derivative test to find the location all local extrema in the interval for the…

A: We need to find local ma and min.

Q: Find the area of the region that lies inside both curves (must plot the curves) r=3+2costheta,…

A:

Q: 3n+1 Σ 6n-1

A:

Q: Why do we most often settle for just answering if a series converges instead of trying to find its…

A: This is a problem related to series and sum calculations. Based on the general concepts we will…

Q: Show clear and detailed solutions. Given: Let A = (1,0, 2) and B = (6,–2, 3) Solve and calculate for…

A:

Q: f(x) dx = | IS(x)| dx =

A: Integration is the area under the curve and x-axis.

Q: Evaluate: - / (e* -e*)dx e ¯X+C 2 A | B) None cosh x +C 1 - sinh x +C 2 D E sinh x +C F -cosh x + C…

A:

Q: Identify and sketch the graph of the following equations in R. (a) r? + 2y? + z2 – 8x + 12y - 2z +…

A: answer is in next step

Q: $50 a copy.

A: answer is in next step

Q: Find and dx d²y then simplify whenever possible. dx2 1) y = 3t5 – 2t , x= 4t³ |

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Evaluate the integral. 3 + 2 | du

A: This is a definite integral which can be solved using below formula    ∫ab f(x) dx= [ φ(x) ]ab = φ(…

Q: If s denotes the length of the arc of a circle of radius r subtended by a central angle 0, find the…

A: Here we finding the s.

Q: What are all the cube roots of -1 in the complex plane?

A: answer is in next step

Q: Evaluate the following integrals. 2x3 – x² + 2x – 2 dx r²(x² – 2x + 2) | | 1.

A: Since you have posted multiple questions which are not interlinked, i can do first question as per…

Q: Find the area of the following regions. Graph the function and indicate the region in question: 2)…

A:

Q: Question Water is draining from the bottom of a cone-shaped funnel at the rate of 0.8 ft'/sec. The…

A:

Q: Let g(x) = F(t) dt, where fis the function whose graph is shown. y 3- fAt) 2- 1 t 8 16 24 32 -1 -2…

A: We have to find the local maxima,local minima and concave downward.

Q: Solve the equation 6cos?x + 11cos x = -4 given that 0 < x < 2n. Provide your answer below: X =

A: First I have made factor of given trigonometrical equation and then seperetly solved them and find…

Q: Q3) Evaluate triple integral SN S dz dx dy . x-y

A: