Convert the point (r, 0, 2) = (1, 3, 5) to Cartesian coordinates. Give answers either as expressions, or decimals to at least one decimal place. (x, y, z) =

Q: Find the roots of (D4 + D² + 1)

A: Given,            D4+D2+1To find : Find the roots of the D4+D2+1.

Q: (D2 - 3D + 2)y=e5x, Find Y = Yc + Yp O a. 0³C₁² +₂²² +2² 1 2x 5x Cet 12 O b. О с. c₁₂e-² + C₂e-²x₁ O…

A: We have to solve differential equation (D2 - 3D + 2)y = e5x We have to find  Y = Yc + Yp

Q: Find the center, foci, vertices, and eccentricity of the ellipse and sketch the graph. 16x² + y² =…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: (D3 - 5D2 +8D-4)y = e2x, Find Y = Yc - Yp 1 =-=-=x² ₁²x 2_2x 2 a. C. C₁ et + C₂e O d. 2x b. C₁e² +…

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Q: 75 (B) H (C) (D) 45 (E)

A: Topic:- application of derivatives

Q: (D2 - 3D + 2)y = ex, Find Yp O a.-ex O b.ex Oc-xex C. O d.xex O e. none

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Q: Find all critical numbers by hand. 2-44 x+7 and

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Q: (D2 + 5D + 4)y = 3-2x, Find Yp a. 11 8 O b. O C - Od 11 8 11 8 11 8 00 + O e. none X 3 + X 3 X 3 X 3

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Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

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Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10…

A: Solve the following

Q: The area of the region that lies to the right of the y-axis and to the left of the parabola x = 4y -…

A: Answer is in step 2.

Q: Find the limit (if it exists) of limx->3+ (3-x)/|3-x|

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Q: determine the solution of the differential equation

A: Given: D2-1y=2ex-e-x

Q: (D3-2D2-5D + 6)y = e³x, Find Yp O a. 1 O b. O C. O d. 10 e xe 1 xe 3x 10 3.x 10 10 O e. e. none ∙e…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. ·S*· g'(x)…

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Q: 62. 63. -3m -म y Af 3m 5m X

A: We know y=AsinBx-C+D⇒A=Amplitude ⇒C=Phase shift ⇒D=Vertical shift ⇒Time period T=2πB

Q: Find the roots of (D4 + 4y = 0 O a. +2i, ±2i + 2 O b. 2+2i, ti Oclti, -1+i O d.-1 +1, 2+2i O e. none

A: To find the roots of D4+4y=0

Q: Let a1 = 2. Let an+1 = 2 − 1/an. Prove that an is decreasing and bounded below by 1. b. Determine…

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Q: Find the total work done if the motion is caused by the force field F(x, y, z) = (x+yz)i + (y+xz)j +…

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Q: a tree cast shadow 45 ft long compared to a yard stick that cast a shadow 2 ft long. write three…

A: a tree cast shadow 45 ft long compared to a yard stick that cast a shadow 2 ft long. write three…

Q: 2 (a) [²9 (b) (c) g(x) dx 9. J g(x) dx 7 [²9(x) g(x) dx

A: Concept ∫abf( x )dx = Area under the curve f( x ) from a to b

Q: Find a power series representation for the function; find the interval of convergence. (Give your…

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Q: (D2 - 3D + 2)y = ex, Find Yp -et O b. ex a. O-xex di xe O O e. none

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Q: Use the ratio test to dete mine if the series converges or diverges n (12²232) n! 100 2n=1

A: Explanation of the answer is as follows

Q: In this question, you will use a substitution to carry out the following integration: So If the…

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Q: 1 sec. and Find the average rate of change of d(t) between the values (a) t = t = 3 sec., between…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: A particle is moving along the curve having the vector equation R(t) = 4 cos ti + 4 sin tj + 6tk.…

A: Given Position vector:- Rt=4costi+4sintj+6tk

Q: Using the substitution 6 sin(u) = x, we obtain [²√36 - w²dx = [ K sin" u cos” udu where the…

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Q: ΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑ 2 3 4 5 6 7 8 9 με Graph of f 2 O -2- - 15. The graph of a…

A: Solution:f is continuous and h(x) = ∫0xf(t) dt and graph of f is given aboveFrom the graph,h(6) =…

Q: 7. dx dy 4y - 3x 2x-y

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Q: Determine which of the following is the particular solution for the differential equation (D²-…

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Q: D. Use the the given that y = y' + 2xy² y ( 1 ) = 1 is a one-parameter family of solutions of the…

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Q: Express the limit lim (3(x; )² – 5(x; )¹) Ax; over [3, 6] as an integral. n→ ∞0 n a = Provide a, b…

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Q: A company's revenue from selling a units of an item is given as R = 1100x - x². If sales are…

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Q: For the function f(x) = x³ – 7x – 6, write Newton's formula as Xn+1 = Xn solving f(x) = 0. Xn+1 =…

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Q: Consider the power series Find the radius of convergence R. If it is infinite, type "infinity" or…

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Q: b) (1+x) dz

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Q: Draw the region whose area is given by the definite integral. 9 So (x+3) dx so 5 Which graph shows…

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Q: (D4-1)y= sinx, Find Yp O a. O b. 1 1 10 - sin2x 15 O c. 1 10 -sin2x -cos2x O d. 1 15 O e. none…

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Q: Find the arc length of the curve x = Length = 4y³/2 from y = 0 to y = 5.

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Q: A function h has graph 2- f(x) = n (-4, 4). If f is defined on (-4, 4) by -1, -4<x<-3, - Ma h(t) dt,…

A: Given: A function h(x) f(x)=-1   -4&lt;x&lt;-3∫-3xhtdt     -3≤x&lt;4   Note: This question can be…

Q: t the correct answer below: ower series ot a power series n=0

A: Topic:- sequence and series

Q: Consider the region between the functions y=x² and y=x. Describe the region as Type II. Select the…

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Q: B) If you consider the triangle formed by the ladder, the wall, and the ground, at what rate is the…

A: According to bartleby guidelines we supposed to do ythe first tyhree subparts of multiple subparts…

Q: In Exercises 3-6, give any two points in the given plane. 3. 2x - 4y +7z=2

A: Question-3 . NOTE: Refresh your page if you can't see any equations. . the given plane is  here we…

Q: ind the producers' surplus at a price level of p = $63 for the price-supply equation below. p=…

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Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.)…

A: here ln(5x)2 can be written as  ln(5x)2=2ln(5x) ln(5x)2=2(ln5+lnx) now we can write as…

Q: Find the total area of the shaded region. 10- 8 6 4 Ay 15 2 p y=9 π/2 2 y=9 cos x it 3m/2 N X 2x J

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Q: Find the consumers' surplus at a price level of p = $150 for the price-demand equation below.…

A: Given price demand function D( x ) = 300 - 0.04x as we know that consumer surplus = 12Qmarket(…