Find a power series representation for the function. (Center your power series representation at = 0.) 1 En=15+1 1.

Q: Determine f(x) given f'(x)=x^2 -3x+1and f(0)=2

A: We have to find f(x) from given information.

Q: f(x) - 3x- 10 X-4 a) Determine symmetry near the asymptotes and asymp totesand behaviour of fo) b)…

A: If f'(x) >0 then f(x) is increase and if f'(x) <0 then f(x) is decrease.

Q: 4+x a) lim- 1+(3+ x)

A:

Q: 4. Sdx

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1' lim t→+∞\ 9t² + 10't (?, ?)

A: We can solve this as follows:

Q: The result of the following double integral is 2 SS T oxy²z dxdzdy = ? -2°0 None of he others O -21…

A:

Q: S Evaluate L-'{- | (s² + 144)(s – 8)

A: We have to evaluate  L-1ss2+144 s-8.   We know that L-1ss2+a2 = cosa·t L-11s2+a2 = 1a·sina·t L-11s-a…

Q: Evaluate the following double integral a) Evaluate 8xy dxdy=? 1 b) Evaluate the following integral…

A: A)∫12∫038xy dx dy=∫12 8yx2203 dy=∫1236y dy=18y212=18(4-1)=54

Q: اسدمل Find the akeaf fak the faltowing regions Area enclosed by the diagram V= Sin 3

A: Area

Q: What is the derivative of 3x+5?

A:

Q: x3 +4x2+37x+58 6. S: x(x2+4x+29)

A: To evaluate the given integral.∫x3+4x2+37x+58xx2+4x+29 dx

Q: Find the volume of a cone with a base radius of 3 in and height of 10 in. Do not round. Be sure to…

A: Find your answer below

Q: Find the length of the minor axis of the equation 4x 2 + 3y 2 - 32x + 12y + 64 = 0. 2√3 4 2√(11)

A: Ellipse

Q: Evaluate the following double integral 3 a) Evaluate S T 8xy dxdy=? 0, b) Evaluate the following…

A:

Q: 5- S(tanx + secx)² dx

A:

Q: 2. 3x 1. 12xe dx

A: We have to find integration.

Q: x 4 Determine the constants a and b so that f is continuous on R.

A: This question can be solved using the concept of continuity of a function at a given point.

Q: 1. /(x)=-4x-6 Slope: 1. f(x) - 5x - 4 y-int: Graph: Slope: y-int: Graph:

A:

Q: Find the third order derivative of y = In(cos(2x))5. %3D A. y' = -40sec² (2x)tan(2x) %3D В. у' 3…

A:

Q: dy 5. S: y(1-Vy)2

A:

Q: 3. Compute the f(x, y) = 4x³ + 6xy² R=[1,3]x[-2,1]. iteration for the function on the rectangles

A:

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Solving

Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: According to bartleby guidelines I can only answer the first three subquestions. Please repost the…

Q: dx Evaluate the improper integral x(In x)?

A:

Q: Work Problem [ solutions and justify your answers. Write step-by-step (1) L. | Solve the…

A: The given differential equation can be solved as follows:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -54 -36

A: In this question we have to find integration by using triple integration.

Q: NG) Find T(t) and N(t) at the given point. T r(t) = 8 cos(t)i + 8 sin(t)j+ tk; t = T()= NE) -| ||

A:

Q: 6. A square plate 3 ft on each side is submerged with the top side parallel to the surface, 5 ft…

A: This is a problem related to force exerting on square plate by water. Based on Archimedes principal…

Q: 3 y = sin?x? ; find dy 13D Xp

A: We will use simple differentiation rules to solve this question.

Q: Provide a step-by-step solution to the following differential equation (linear equation) (2x+3)y' =…

A:

Q: COSI 1. dz 1+2 sin z

A: Antiderivarive

Q: 5- (tanx + secx)2 dx

A:

Q: Two linearly independent solutions of the differential equation y" + 2y' + 4y = 0 are Select one: O…

A:

Q: Consider the function y= ¿x³ – a. Sketch the graph of y= -x³ - 9x + 4. b. Find and describe the…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 2) Zy? + X :0 + x -1 :0

A:

Q: p(x) = sin x cos x %3D Select the correct response: O tan x O cos r – sin? r 2 O sin? r - cos? a x –…

A: To find the derivative of given function.

Q: d d Calculate ri(t)· r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly…

A:

Q: 3. Calculate the volume and total surface area of the solid prism shown. 11 cm 4 cm 15 cm 5 cm 5 cm…

A:

Q: d d Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: 4-x III. Evaluate f dx. V16-x

A: Let's find.

Q: Find thee inverse function. of fcas_ 2x+3 らメープ

A:

Q: Match the vector field with its graph. F(x, y) = yi KE y -5+

A:

Q: 18 4. Determine the equation of the tangent to g(x) = at the point (1,2). (x+2)2

A:

Q: 2. For each of the following functions, determine the derivative using only algebraic techniques and…

A:

Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

A:

Q: Question 9 of 10 q(x) = e" ln x Select the correct response. O e" In x - + eª ln x et +1

A:

Q: Evaluate 4x2 + 4x + 5 dx

A: ∫4x2+4x+5dx=∫4x+122+4dxLet u=x+12.=∫ 2u2+1du=2·∫u2+1duLet…

Q: log54 (x) can be a negative irrational number. Select one: O True O False

A:

Q: A wooden box is to be made of lumber that is in. thick. The inside length is to be 6 ft, the inside…

A:

Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by…

A: Let's find.