Given the graph of f, determine the signs of f(a), f'(a), and f"(a). + + + a b d. /f(x) f(a) is [ Select ] f'(a) is [ Select] f"(a) is [ Select] > >

Q: Find 8 L-1 s2+4s+20.

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Q: S (3x – 2)° dx

A: To FInd : ∫3x-22dx

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: S16 sin²x cos"x dx the solution is 2x 4 sin x cos x +2 sin x cos x +C 1 x- 2 sin x cos x + 4 sin x…

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Q: Find the sum of the series. n=1

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Q: Evaluate:* (s-20 Is²-9. :L-1

A: Given; (s-20) /(s2-9).

Q: 27) y"+2y'+ y = e", y(0) = 0, y'(0) = 0.

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

A: Let's find.

Q: 3. If water bottles are geometrically similar, how much more water will a bottle that is 50 cm tall…

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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: Seco-Cose Lim Cos h h2 h -2

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Q: 1. Obtain the general solution unless otherwise instructed · (D5 + Dª – 7D³ – 11D² – 8D – 12)y = 0 -…

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Q: Express the number as the ratio of two integers. 0.8333333 ... 3 3

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Q: The partial derivative of a function of two variables are represented by f,(x,y) which is the…

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Q: sin 4.x if x > 0 Suppose f(x) = {0 if x = 0. Find f'(0) using the definition of derivatives. x+4x if…

A: We have to find f'(0).

Q: The ladder 7.5 meters long is leaning agains the wall of a house.  The base of the ladder is being…

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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: 12. S cosh(5x – 7) dx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Let C(x) be the cost, in dollars, to produce x gallons of gelato. What is the meaning of C'(5) = 4.5…

A: Given, C(x) is the cost in dollars. x is the gallons of gelato.

Q: 2 | Vxe-*dx хе ах

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Q: Sketch the graph of a function f with domain [1,5] satisfying all the following conditions: •…

A: This question can be solved using the concept of nature of graphs.

Q: y"' + 4y" + 9y' + 10y = when x = y = 0, y' = -4, y" = 10

A: To find the general solution of the given differential equation.y'''+4y''+9y'+10y=-24e-x, when…

Q: Evaluate the following integrals. Show all the necessary solutions. 2. y In?(1 + 3*) dy 1 + y²

A: I=∫y ln7(1+y2)(1+y2) dyI=∫ y ln(1+y2)7(1+y2) dyln(1+y2)=t1(1+y2) (2y) dy =dty(1+y2) dy=dt2

Q: Find the area of the following surface using the given explicit description of the surface. The cone…

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Q: Solve the system of linear equations бу + 4z %3D -24 Зx + Зу -6 %D 2x 3z = 4 (х, у, 2) %3D (||

A: Here we have to solve the system of linear equations. 6y+4z=-24 ..................... (1)3x+3y=-6…

Q: ind the area under the given curve over the indicated interval. 15) y =ex; [1, 2] 4. 3. 2 A) e2 -e…

A: We have to find the area under the curve.

Q: sin 4.x if x >0 3. Suppose f(x) = {0 if r = 0. Find f'(0) using the definition of derivatives. %3D +…

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Q: In the standard (x,y) plane, what i the distance between (3, 4) and ( 2)?

A: Topic:- geometry

Q: find ganeral From of taylak Seriesot FOA-In(3t4xl, about X-0 %3D

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Q: 6 Evaluate the limits lim: X+ co X 6.

A: Topic:-   limits and continuity

Q: Find an eigenbasis and diagonalize. (Show the details.) 14.4 -11.2 10. -11.2 102.6.

A: Given :14.4-11.2-11.2102.6

Q: In (x + x²) dx

A: Given problem:- ∫ ln(x+x2) dx

Q: Write each of the other trigonometric functions of e in terms of cos(e). (En sin(e) = V1- cos (0)…

A: P

Q: Evaluate: 6 L-1 s²+49)

A: We have to evaluate given laplace equation.

Q: Given f(x) =x2- 1, find the value f(2)

A: Given f(x)=x2-1

Q: A petri dish has 10,000 bacteria in it. After 2  hours the bacteria's population increased to…

A: This question is based on exponential Function.

Q: S 16 sin?x cos?x dx x cos²x

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Q: What is the critical point?

A: The objective of the question is defination of critical point.

Q: Find the series' radius of convergence. (x -3)n (an)! n=1 0o, for all x 00 O 2 O 1

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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: Find out all the relative minimum and maximum values, and sadle points of the function h defined by…

A: Here we have h(x,y)=x3-3x+3xy2 .............................................. (1)

Q: a) Determine whether the series 00 Σ is convergent or Vn3 + 4n + 5 n=1 divergent. b) Determine…

A: a The given series: ∑n=1∞n3n3+4n+5

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

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

Q: So 0 cos r0 do

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Q: L|3x – 6| dx = 30

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Q: 2 [arc cos ( Incs-2) fdz ( Incs-z>) ] dz

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Q: Using L'Hopital's rule, calculate the following limit: T-sin r lim, 0 O 1/6 O 1 O does not exist

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

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Q: 4. Find the derivatives of the following functions. Do not simplify your answer! d (a) sec x dr V +1…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…