The Fourier Series of f(x)= x) = { O FINEO NEM 0, πT-X, −π

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3r sin(ry)…

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Q: (1,0)

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Q: A landscape architect plans to enclose a 2000 square foot rectangular region in a botanical garden.…

A: Given figure:-

Q: Find r(t) if r(t) = + i + e¹j + 2te²² k and r(0) = i +j+ k. r(t) =

A: integral

Q: Consider the following. h(x) = ex²_ Find h '(x). h'(x) = 2xe+² Solve h'(x) = 0 for x. X = h(0) =…

A: The given function is: hx=ex2-9 Use the Chain rule: fgx'=f'gx·g'x And Power law: ddxxn=nxn-1

Q: en: y = u² - 2u¹ and u = x + √x. Find when x = 9.

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Q: 7. (cosx+xcost)dt + (sint-t sin x) dx = 0 Ans. t cos x + x sint = c

A: The objective of the question slove the the differential equation.

Q: 4. f(x) = 3√x √x ... x=8

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Q: Find the exact area of the surface obtained by rotating the curre around the x - as is 1 16-x1 g= +…

A: Given that , y=6-x , 4≤x≤6 find the area of the surface obtained by rotating the curve around the…

Q: Find the linearization L(x,y) of the function f(x,y)=²x cos (3y) at the points (0,0) and ¹ (0.7) The…

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Q: Last time now, with d = 3.42 m. You start the block on the track at rest, somewhere to the left of x…

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Q: (x)u[ S -dx 陇

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Q: A baseball team plays in a stadium that holds 53,000 spectators. With ticket prices at $10, the…

A: Given attendance denoted by = x there are two points ( 38000 , 10 ) & ( 42000 , 8 )

Q: If y₁ and y₂ are linearly independent solutions of ty" + 2y + te³y = 0 and if W(y₁, y₂)(1) = 5, find…

A: The given differential equation is: ty''+2y'+te3ty=0

Q: 11. Find the differential equation of the family of lines passing through the origin 12. Solve the…

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Q: Obtain the general solution of the following differential equations. 6. xdy-ydx-√√x² - y²dx=0 ¹(²-)…

A: According to your question mentioned ...in answer ....ln|c.x| will come in place of ln|c/x|....in…

Q: At which points on the curve y = 1 + 40x³ - 3x5 does the tangent line have the largest slope? (x, y)…

A: we need to find out the points on the given curve where the tangent line has largest slope.

Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a…

A: Given:- an=5nn+2

Q: Express the iterated integral 1-z -2 4-x² Tro ²-3 0 equivalent to which of the following integrals?…

A: The given iterated integral is:∫02∫04-x2∫x2-31-z g(x,y,z) dy dz dx

Q: [5-A] [CLO 12] The line ℓ passes through the points (−3, −4) and (5, 1). Give an equation for the…

A: Given: The line l passes through the points -3,-4 and 5, 1. The objective is to find the equation…

Q: 1. The chart below shows the current speed of the Colorado River taken at different times throughout…

A: We have to find the average acceleration form the above table given.

Q: Learning Target DA6: I can set up and use derivatives to solve applied optimization problems. A…

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Q: Consider the function f(x) = 2 +² + 3x at (0, 2) we have: -slope:5 - equation of the tangent line at…

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Q: The vectors [.. -9 are linearly independent if and only if k # ū -4 4 13+ k_ " -3 7 16

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Q: 52 16 59 12 20. If an = 4(3)″−¹, what is S3?

A: Given: an=43n-1

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? *x+9² [1,…

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Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by…

A: given  s(t)=-t3+11t2+23t       (0≤t≤6)we know d dt(tn)=ntn-1ddt(constant)=0

Q: Find the volume of the solid that lies under the elliptic paraboloid x/4 + y²19 21 and above the…

A: We have given paraboloid x24+y29+z=1 and rectangle [-1, 1]×[-2, 2]

Q: Evaluate the integral. S² (6ti - t³j+ 2t³k) dt

A: B=∫02(6ti-t3j+2t3k)dt∫tndt=tn+1n+1+c

Q: 6. Use the Mean Value Theorem to find all values of c in (6, 14) such that f(b)-f(a) f'(c) = for…

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Q: 3.5 The value off Jo-o 2 called 1-segment) trapezoidal rule is most nearly 0.388211 -0.5xdx by using…

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Q: 2. Use the graph to determine: (a) Is the degree even or odd? (b) Is the leading coefficient…

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Q: Ten and one-half foot-pounds of work is required to compress a spring 2 inches from its natural…

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Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane y + z…

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Q: x  ≤  12 −4x + 144 x  >  12 Evalute 36 ∫ 0 f (x) dx. (Note that since  f (x) is defined in a…

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Q: If x2 + y2 = 100 and dy/dt = 3, find dx/dt when y = 8. (Enter your answers as a comma-separated…

A: Given:                 dydt=3y=8 Aim: To find dxdt

Q: You are asked to build an open cylindrical can (i.e. no top) that will hold 171.5 cubic inches. To…

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Q: Find symmetric equations for the line through the points (2,5,5) and (-6,3,1).

A: To find the symmetric equations for the line through the points  2, 5, 5 and -6, 3, 1.

Q: [3-R] [CLO 14] Is the following set a function? Briefly justify your answer. M

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Q: Evaluate JJ curl curl F. N dS where S is the closed surface bounded by the graphs of x = 6, z = 25 -…

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Q: Find the point on the parabola shown below that is closest to the point (4, 0). V y=x²

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Q: 5. Find the derivatives of the following functions using the fundamental theorem, part 1, in…

A: h(x)=∫02x11+t2dt

Q: The range of a cosecant function is (-∞, -9][5,00). The equations of two consecutive asymptotes of…

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Q: n constructing an open rectangular box from 1323 ft² of material, what dimensions will result in a…

A: NOTE: Refresh your page if you can't see any equations. . x=length of the box y=width of the box…

Q: A volume is described as follows: 4 x² and y = 0 25 1. the base is the region bounded by y = 4- 2.…

A: Given the base region is bounded by y=4-425x2 and y=0. ymax=4-425x2max=4 From y=4-425x2 ,x = ±524-y…

Q: Aging Population The population of Americans age 55 and older as a percentage of the total…

A: Given function is ft=10.720.9t+100.3. We have to find f''(10). For this we first find f''(t).…

Q: For each cost function (given in dollars), find the cost, average cost, and marginal cost at a…

A: Given : a. at q = 1000 Average cost = 128000/1000 = 128 dollars / unit   Marginal cost for q=1000

Q: (c) Now find the exact values of a and b that satisfy the conditions in part (a).

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: As we know that, The Sum/Difference Rule: f±g'=f'±g' The Power Rule: ddxxn=nxn-1 The Product Rule:…