k+5 The power series Exei i + 5 Σ =1 Select one: a. -1

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Q: A rancher has 100 feet of fencing to enclose two adjacent rectangular corrals, as shown in the…

A: The area of the rectangular corral is .The objective is to find the value of  that has the maximum…

Q: Find the volume of the parallelepiped determined a=(2,5,-1), b = (0,3,47₁ C = (2,4,1) by the vectors

A: Given:a parallelopiped that is determined by vectors-To find:The volume of parallelopiped

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Q: find the average rate of Change of the function f(x)=sinx, [0,7V6] over the given interval. compare…

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Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

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A: An arrow is shot upward on the moon with a velocity of The height  at time  is  .We have to find the…

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A: The given function is .

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A: The objective of the question is to understand why the geometric series diverges at x = 4 and x =…

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Q: 2) Consider the function h(1) = (1 - 1)e-z (a) Find all critical points of the function. (b) Use…

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: Find the derivative of the vector function r'(t) = ( r(t) = ln(12 – t²)i + √11 +tj +2e-5t k > ID 9 9

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Q: Evaluate the integral. (Remember the constant of integration. sf. 5 √1 - sin(x) dx X – 10 (cos ( 1 )…

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Q: x² -dx. X-4

A: I=∫x2x−4dxSubstitution u=x−4Using the power ruleddxxn=nxn−1

Q: 1 Sketch a graph of f(x) = (x − 3)² – 2 - 2 5 4 3 2 1 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 1 2 3 4 5

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Q: , Assume is in radians. The angles requested are measured counter-clockwise from the positive x-axis…

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Q: Please solve the following calc 3 problem

A: The objective of this question is to find the area of a triangle in three-dimensional space, given…

Q: The owner of a ranch has 2,400 yards of fencing material with which to enclose a rectangular piece…

A: Given:The owner has yards of fencing material, to enclose a rectangular piece of grazing land along…

Q: Fill in the equation for this function. 2 UN -π/2 TT/2 4 TT 3m/2 f(x) = [ ? ]cos(x − −˜_ ) + π

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Q: a. Evaluate 4 tan 2x sec ²2x dx using the substitution J u = tan 2x. b. Evaluate 4 tan 2x sec ²2x dx…

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Q: 3. Evaluate the integral. (a) f(ti+t²j+t³ k) dt (b) f((1+²) i-4t¹ j - (t²-1) k) dt π/4 (c) f/4…

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Q: Let h(x) =tan(3x + 5). Then h' (4) is 3 sec² (17) 2 and h''(4) is

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Q: apply either the Alternating Series or Ratio Test To solve for these series

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Q: 17. Evaluate the limit, if it exists. Show work. x²-3x-10 limx-5 2x-10

A: To evaluate the following limit if it exists.

Q: Evaluate the following integral using integration by parts. Jxsin 8 x sin 8x dx Jxsin 8 x sin 8x dx…

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Q: 1. Find the acute angle between the two curves at th 1- r=1+sine 2. r= 1 + cos 8. 2. Evaluate e dx.…

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Q: Graph the quadratic function and supply the desired information about the graph. f(x) = x² + 8x + 13…

A: a) Line of symmetry : x=−4 b) X-intercepts : (−4+3​) and (−4−3​) c) Y-intercept : 13 d) Vertex :…

Q: -) y = 7sec @ In 7 ) y = 5-cos 2t 5) y = 3tan@ In 3

A: Since there are two different questions, according to the guidelines, I am solving the first…

Q: Compute the length of the curv L= ¹rve r(t) = (2t, ln t, t²) over the interval 1 ≤ t ≤ 2 =

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Q: 5. dy dt 2t 1 + t2 Y = 3

A: we need to find out the solution of the differential equation.

Q: 50x 7500 Given the function from question 6, P(x) = 100 - determine profit when number of attendees…

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Q: Evaluate the following integral. x² - 4x + 4 2 S √x². - 4x + 8 dx

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Q: The table below gives the power consumption P in megawatts in a county from midnight to 6:00 a.m. on…

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Q: Compute the indicated quantity. (Round your answer to the nearest cent.) An investment earns 5%…

A: An investment earns 5% interest, compounded monthly, and is worth $5,000after 10 years. To find its…

Q: 1.) 2 Ч — ч+х htx P -5 Hd Xx внаят

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Q: Find the length of the curve correct to four decimal places. (Use a calculator or computer to…

A: The given curve equation The length of the curve for  is

Q: A farmer has 1,600 feet of fence and wishes to build two identical rectangular enclosures, as in the…

A: We need to find out the dimensions of each enclosure when the total area is maximum, also the area…

Q: Sketch a graph of f(x) 5 4 3 2 1 -5 -4 -3 -2 -1 Clear All Draw: = -1 -2 -3 -4 -5+ 1 -|x4| - 1 2 1 2…

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

Q: Find the curvature of the curve r(t). r(t) = (4 + In (sec t))i + (8 +t)k, л/2<t</2 OA. K=1-cost B.…

A: Therefore the correct option is B.Explanation:

Q: Solve cos(8) decimal places. 0 0.2 for solutions on the interval 0 ≤ 0 < 2. Write your answer(s) in…

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Q: ƒ(x) = 3(x + 2)² − 4 -10 -9 -8 -7 -6 -5 -4 -3 -2 Clear All Draw: vertex: axis: D: R: 10 10+ 9 8 7 6…

A: Answer;   Vertex:(−2,−4)Axis:x=−2D:(−∞,∞)R:[−4,∞)Explanation:Step 1:

Q: Let �(�)f(w) be a function of vector �∈��w∈RN, i.e. �(�)=11+e−���.f(w)=1+e−wTx1​. Determine the…

A: The objective of this question is to find the first derivative and the matrix of second derivatives…

Q: Determine the interval of convergence of the following power series (−1)n-12n+1 Σn=0 (2n+1)! ²

A: The objective of this question is to find the interval of convergence for the given power series.…

Q: The graph below is of a transformed trig function with NO horizontal shift. Write its equation. (Use…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: f(x, y) = x² + 5xy + y² - 22x - 13y + 27

A: f(x,y)=x2+5xy+y2−22x−13y+27fx(x,y)=∂∂x(x2+5xy+y2−22x−13y+27)Using the power Ruleddxxn=nxn−1

Q: The upper half of the ellipse centered at the origin with axes of length 2a and 2b is described by b…

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Q: Find the equation of the tangent line to the curve y = The equation of this tangent line can be…

A: The objective of this question is to find the equation of the tangent line to the curve y = 4 sin x…

Q: (Calculus review.) (a) Evaluate the indefinite integral eat cos(bt)dt, where a and b are real…

A: Since you have posted multiple questions, we will provide the solution only for the first question…

Q: The figure below shows the graph of a function over the closed interval [-1,2]. y=f(x) Answer parts…

A: From the given graph