Determine the angle, to the nearest degree, between the vectors= (4,6,-2) and y = (1,8,2)

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ - sin 2x + 1,…

A: Given :f(x)=x3-sin2x+1=22.688

Q: Q1: Find with sketch the Fourier coefficients and Fourier series of the function f(x) defined by…

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Q: The total cost (in dollars) of producing x food processors is C(x) = 2200+60x-0.1x². Find the…

A: here we have to use the concept of derivatives.

Q: Q1. Evaluate the integral S dx (x + 1)(x² + 1)

A: We need to evaluate the following integral ∫01dxx+1x2+1

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Q: a) Find the derivative in its simplest form for the following function 1–tanx y = tan-1 ¹

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Q: 1 to 21. Use the Cauchy-Riemann conditions to find out whether the functions in Problems 1.1 to 1.21…

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Q: 1) Solve the initial value problem. Show All Your Work. dy 2x+sec² X 2y , y(0) = -5. dx

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Q: 2 1) x² + y² + 18x - 26y+246=0 CX+972+(₂-137² = 4

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: The volume of a cylinder of height 12 inches and radius r inches is given by the formula V = 12². dV…

A: Given query is to find rate of change of volume.

Q: y = ln(x In x)

A: Given; y=ln(x lnx)

Q: Using Integration by Parts. [x¹e xn ex dx is equal to xnex +nfx-1e* dx xnex - nf x¹ ex dx the above…

A: The integration by parts formula is,    ∫u v' =uv - ∫v u'

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Q: Let w=x² +3y² + 2z² where x=rcos, y=rsin 0,z=5t find dw dw ar' at

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x→ 0+ 5

A: solution:-limx→0+xsinxwe know that binomial expension of…

Q: dy 9 Find the general solution of the differential equation: - dt t Use lower case c for constant in…

A: Here we have to find the general solution of the given differential equation,  dydt-9t·y=t5 Compare…

Q: Find all points c satisfying the conclusion of the MVT for the function f(x) = 7e-⁹x + 4 and…

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Q: the amplitude is the only incorrect answer

A: Solution :- By compare standard cosine function y= Acos(Bx-C)+D

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A: Radius of the cone is(r) = 3 ft =36 inches Altitude of the cone is (h)= 4ft =48inches ( And let the…

Q: II. Solve the following problems. Enclose final answer. 8.A kite at an altitude of 200 ft. moves…

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Q: Use the following function and its graph to answer (a) through (d) below. Let f(x)= 6-x, x3. a. Find…

A: We have to find out limit

Q: sider this expression: sin inders: dicate √√7, then type: sqrt(7). You must type the parentheses!…

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Q: Evaluate LL²³ S²x² y² وژ sin z6 dx dy dz

A: To evaluate: ∫01 ∫0z2 ∫03 y2sin⁡z6dxdydz Let, I =∫01 ∫0z2 ∫03 y2sin⁡z6dxdydz First integrate with…

Q: A population of 800,000 microbes increases at the continuous rate of 4% per day. a. Carefully sketch…

A: Given: population of 800,000 microbes increases at the continuous rate of 4% per day. Find: sketch…

Q: 6. Find the area bounded by the curve y = log x, the x-axis, and the line x = 2.

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Sinzo + Cos20 +1 Sinzo- Cos2© +1 - - сото

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Q: Water is leaking out of an inverted conical tank at a rate of 8100 cubic centimeters per min at the…

A: I am attaching image so that you understand each and every step.

Q: height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t)= - 16t²…

A: Velocity

Q: Find the relative extrema using lagrange multipliers. F(x,y) = 16x0.70.3 Constraint: 2x+ y = 25

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Q: et Lim x-0 +e³-x²-2 sin² x-x²

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Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: answer is in next step.

Q: √√√√3²-1 For the integral X What is the re-write of this integral? -dx, let z= x² - 1.

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Q: π I Find the volume of the region bounded above by the surface z = 7 sin x cos y and below by the…

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Q: Lim x-0 et +ex -x²-2 sin² x-x²

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Q: The table gives the values of a function obtained from an - using three equal subintervals with left…

A: To approximate the value of given integral using left endpoint approximation.

Q: Compute the missing terms in the arithmetic sequence. 72, **** 1)..., 24,

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

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Q: N A cylindrical tank is filled with gasoline with weight density of 7840 Determine the force exerted…

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Q: dr Let A be the area of a circle with radius r. If dt dA when r = 3. dt = 3, find

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Q: 2 √z T Evaluate the integral SSS (² cos ²0 +2²) r de dr dz. 000 ▪▪▪ The value is (Type an exact…

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Q: Q2] Classify the following D.E to: order, degree, homogeneous, and linear: dy 2y=x 3 dx dx

A: We can solve this as follows:

Q: Evaluate z² 3 y² sin z6 dx dy dz

A: Given: ∫01∫0z2∫03y2sinz6dxdydz

Q: Find f(x) by solving the initial value problem. 5 f'(x) = 2x + 5ex + —; X f(x) = f(1) = 6 + 5e

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Q: Find the volume generated by revolving about y = 2, the area bounded by y² = x-1 and y = -x +3.…

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Q: Prove the following identities : a) Csc0+tan 0.Sec0=Csc0.Sec ²0

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Q: Question 4 A 3 2 1 2 3 4 To find the blue shaded area above, we would calculate: [ f(x) dx = area…

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Q: Find f'(a) for f'(a)= 10x13 Answers Attempt 4 of 4 f(x) = 3 + 13x - 5x².

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Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ - sin 2x + 1,…

A: Here, given that force can be described by: f(x)=x3-sin 2x+1 And, no other force acting on the box.…