) What number is next in the equence? 2, 4, 16...

Q: Find the slope of the tangent line to the curve given by x + y° = 2 at the point (1, 1) -1 O 1

A: find the slope of the tangent to the curve x5+y5=2 at (1,1)   d(xn)dx=nxn-1

Q: For the given functions, identify the horizontal and/or vertical asymptote(s). Then write the domain…

A: Let's find.

Q: Evaluate the integrals in the following questions using integration by parts For 0 cos T0 de

A: By Parts Rule: ∫u(x)v(x) dx=u(x)∫v(x)dx-∫du(x)dx∫v(x)dx

Q: Calculate the surface area of the portion of the cylinder X+y 9 that lies betweenz=3 and z=6. O A.…

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Q: Work Problem .. Question 1.. a) ]: Show your work. e]: Determine whether the series 1 Σ n=1 (2n- 1)4…

A: This question can be solved using the concept of integral test for first part and root test for…

Q: Find the local max and local min and saddle points of F(x,y)= 2x^2+y^4-4xy

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Q: The volume of the solid bounded below by the xy-plane, on the sides by p-33, and above by

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Q: Solve a3 -4x2 +4x 3x4 –12x3 +12x2 limp→2'

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Q: Find the volume of the solid in R' bounded by y = x2, x = y?, z = x + y + 27, and z = 0.

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Q: Evaluate the integrals for 16 sin²x cos²x dx X,

A: Given ∫16sin2x cos2x dxTo evaluate the integral:

Q: 1-6 For each of the following functions, find a power series representation of the function, and…

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Q: 2. Find the Fourier series expansion of: 0, f(x) = -1< x < 0 sin Tx, 0<x <1 and then use it to find…

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Q: 3. Consider the curve given by y2 = 4xy +1. %3D dy A. Find dx B. Find all points on the curve where…

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Q: 1-Determine the order of each matrix. 2 -3) b-() c-(105 311) а — 4.1 4 2-Determine the value of each…

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Q: 06: A- A projectile is to be fired from ground at angle of 30° to reach a target point that is 100m…

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Q: y2+8y+5 (y-1)(y+1)(y²+8)² Integration by Partial Fractions

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Q: (b) / (4 – t)Vt dt

A: Given integral is definite integral, because here limits are given. In this integral upper limit is…

Q: csc? 20 cot 20 de

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Q: 0 cos n0 do

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Q: y+8y+5 (y-1)(y+1)(y2+8)2 Integration by Partial Fractions

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Q: S (3x – 2)° dx

A: To FInd : ∫3x-22dx

Q: The series 32n-54-1-2n is n=1 Select one: а. is a divergent geometric serie O D. is convergent but…

A: Topic:- sequence and series

Q: dy da = y+ Vx² – y? O y = x cos(ln|æ|+ C) O y = x sin(n|x| + C) sin-1 (를)-In|미=C coS-1 (2) -Inl피 =C

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Q: Suppose 16 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A: Here we have to use the logistic growth model. I have appended the formula used in the solution part…

Q: Use the conditions csc(e) = and tan(e) < 0 to find the values of all six trigonometric functions.…

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Q: The boy at A attempts to thrown aball over the roof of a barn such that it launched at an angle…

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Q: 2. Give the symmetric equations of the line l perpendicular to the plane T : 5x– 2y = z+4 and…

A: we have to find equation of line.

Q: -olve for two cases csc² 20 cot 20 de irst case Using u = cot 20

A: Topic:-  integration

Q: 16n+3 (-1)"-1, n=1 n²+3 a) Determine whether or not the series is absolutely convergent. b)…

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Q: Solve the following indefinite integral. Show complete solutions. Please make sure that your…

A: Solving the problem by finding the value of integration.

Q: 3. 4x 3 + dx

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Q: 11. Find L{tU(t - 1)} A. В. е ers C. D. e-s 1 E. None --

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Q: The following series is an alternating serie

A: Since we are given with the multiple number of question and answered according to the guideline

Q: Evaluate the following limits or explain why the limit does not exist. (c) lim as x approaches 0 x…

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Q: The curve x + y° = 3xy was first discussed in 1638 by the French philosopher-mathematician René…

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Q: The series 00 14 2+ Vn2 1+ Vna n=1 is convergent if and only if: Select one: 144 a > а. b. a 4 d.…

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Q: How many ways are there to distribute r+s identical balls among five different children such that…

A: We need to find ways to distribute balls as asked.

Q: 4. y = e 2coscns (2x) 5. y = e

A: Here we have to find the derivative of question number 4 &amp;5

Q: Evaluate the difference quotient fla + h) – fla) for the function f(x) = 2x²- 3. 4а + 2h 4а + 2h - 6…

A: Given: f(x)=2x2-3

Q: 7 7 = 3, f(x)dx = 8, and g(x)dx = 5. Evaluate the following integrals. Sowar=s. 2 2 2 Sawak = -5 7…

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Q: potter forms a piece of clay into a cylinder. As she rolls it, the length, L, of the cylinder…

A: Given problem:- A potter forms a piece of clay into a cylinder. As she rolls it, the length, L, of…

Q: Suppose that k(x) is a continuous function defined on the domain 0 sxs5 and is graphed to the right.…

A: Critical points are defined as those points where the derivative ia either zero or infinity.

Q: (b) Tom and Annie are buying a house and have taken out a 20 year, $250,000 mortgage at 6% interest,…

A: We have to find the monthly payment and interest.

Q: 3+1 f(r) = 4r² – 1 g(x) = h(1) = VI 2т + 1 13. (f - 9)(г) Sz3 + 4x? – 3r – 4 (A) 2т +1 8r3 + 4r? – 1…

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Q: Evaluate the integrals in the following questions using integration by parts for SincE In (x + x²)…

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Q: V312-x2 31 dydx = %3D 1+x2+y2 Jo int062) ○ 푸n(31) 2 O In(962) O TIn(962) O 2nln(31)

A: Given: I=∫031∫0312-x221+x2+y2dxydx   Now convert to polar coordinate to solve the given integral. As…

Q: (b) Solve the following first-order ODE xy'y=2x* +2y*

A: Given that ODE                 xy3y' = 2x4 + 2y4 We can write this equation as   y' =2x4+2y4xy3…

Q: Given the following vector field and oriented curve C, evaluate F•T ds. F= (-6y,6x) on the…

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Q: Solve a3 -4x2 +4x lima→234 –12.a³ +12a²

A: We have to solve the given limit.  We can use Factorisation method.

Q: 1. rate at two-hour time intervals are shown in the table. Find lower and upper estimates for the…

A: Given:      The lower and upper estimates for the total amount that leaked may be computed as the…