b. IF A = +²î - tj + (2+ +1) K B = (2-3)i +Ĵ-tk A. d_ (A.B) dt OBTAIN THE FOLLOWING @ t = 1

Q: Differentiate. y = log 4 (x+x) -log 4 (x6 + x) dx =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Classwork. 4: Describe the sequence of transformations from the parent function f(x)=√x. g(x)=-3√x-2…

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Q: Solve the given initial value problems. y'' - 4y' + 4y = 0, y(1) = 1, y'(1) = 1

A: To find out the solution of the differential equation.

Q: (D4 + 2D³ - 3D² - 4D + 4)y=0

A: (D⁴+2D³-3D²-4D+4)y=0 So, D⁴+2D³-3D²-4D+4=0

Q: 3)Find a function whose graph is a parabola with vertex (3, 1) and that passes through the point…

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Q: A virus is spreading across an animal shelter. The percentage of animals infected after t days 100…

A: This question can be solved by the concept of functions.

Q: show complete solution

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Q: Bounds

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Q: If an IRA is a variable-rate investment for 15 years at rate r percent per year, compounded monthly,…

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Q: 29. xyy' = 1 + y²; when x = 2, y = 3.

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Q: nd div F if F(x,y,z) = xz6 i + 5y7x2 j + 6z2y k.          A. div F = z6 + 35y6x2 + 12zy…

A: To find div F.??

Q: Determine the solution of the 1st Ordered Differential Equation: y(x² + y²)dx + x(3x² - 5y²)dy = 0

A: y(x2+y2)dx+x(3x2-5y2)dy=0x(3x2-5y2)dy=-y(x2+y2)dxdydx=-y(x2+y2)x(3x2-5y2) Substituting  y=vxy'=v'x+v…

Q: x-2 13) Consider the function f(x)=x-[x] where [x] is the greatest integer less than or equal to x.…

A: Please see the below picture for detailed solution.

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(−2, 1, 0), Q(4, 2, 4),…

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Q: Find the equation of the plane passing through the points O=(0,0,0), A=(−4,5,1)and B=(−1,0,−6)

A: plane passing through the points O=(0,0,0), A=(−4,5,1)and B=(−1,0,−6)   that is plane passing…

Q: Find the solution of the differential equation that satisfies the initial condition y(1) = −7. 0…

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Q: 15-16 Find the domain of each function. 1 - et² 15. (a) f(x) (b) f(x

A: Please refer to the image below

Q: Evaluate the area below X-axis and above the curve y = 24x2-45x. Round your answer to 3 decimal…

A: Given curve, y=24x2-45x

Q: Let the velocity vector be v(t)=⟨5t^4,−3sin(t),4exp(2t)⟩ and the initial position vector be…

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Q: Which derivative rule(s) were used to develop: "So rate of change of average cost is given by A'(x)…

A: Let's solve.

Q: dz Calculate for z = 4x² + 3y², x = sin(t), y = cos(t) dt

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Q: Problem 1. For every real number a, compute the derivative of y = x4 at x = a as a limit of a…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: iii. [ 2² √₂³ +11de, x5 u = x³ +11 bstitu

A: Solution is given below:

Q: 2. Match the figures below with the equations: (a) z = sin(x) sin(y) (b) x²-y+2²=0 (c) z = √6x² +…

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Q: )A. Let,g(t) be the solution of the initial value problem with g(1)-1 Find g(t) g(t) 1/(14) B. Let…

A: We have to find the solution of the given differential equation.

Q: Kindly exhibit that xzxx+yzxy=y2zyy if z=xy+yln(xy)

A: The given data is: z=xy+ylnxy To prove: xzxx+yzxy=y2zyy

Q: What is the general solution of the differential equation below?  dy/dx = y/(x2 + 1)  when y > 0.

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Q: 11.) Consider the function f(t) = lnt. a.) Calculate the instantaneous rate of change of 1 the…

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Q: (b) lim √√9x-11 -4 X-3

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Q: EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²- 8x +9 at the point (2, -3).…

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Q: A ladder 15 ft long leans against a vertical wall. If the lower end is being moved away from the…

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Q: 1. Three vectors in space are given as K = 3x + 2y + 42 L = 2x - 3y + 2 M = -x - 4y in cartesian…

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Q: Evaluate the integral. 5 1³w² w² In(w) dw

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Q: Using the attatched equation 3.9, find the general solution of the following differential equation…

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Q: (1) A more detailed version of Theorem I says that, if the function f(x, y) is continuous near the…

A: Concept: Differential equations that can have their variables separated to determine the equation's…

Q: Evaluate the definite integral. */4 sin(t) cos² (t) 6. dt

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Q: Consider the following graph of y = f(x): s What is the lim fx f(x) x-0 A.0 B. 1 OC. -1 D. 2 E. The…

A: From the graph we can see that as x tends to 0, f(x) tends to 1.

Q: Decide which of the following are true. Choose all that apply. Review intersections and unions here.…

A: Operations on Sets   Union of Sets If set A and set B are two sets, then A union B is the set that…

Q: Match the equation with its graph. y = 2x² + z² XA ZA XA ha

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Q: 4) For f(x) = { sin(27x) x>1/2 4 2x-1 x = 1/2 find lim f(x) X- x < 1/2 2

A: To find the limit of the given function.

Q: The range of y = tan-¹ x is A. R Evaluate lim h-0 A. undefined B. [-1,1] (x-h)³-x³ h B. 3x² C. x +…

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Q: Evaluate I si sin³(x) cos³(x) dx .

A: We have to evaluate  ∫sin5x cos3x dx.

Q: Differentiate. f(x) = 8 e 6x f'(x) = [

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Q: 8. 4p pt| Pt1 4p

A: 4pp+1 - p+14p

Q: Find the solution of the IVP: (1 + y cos x) dx - sin x dy = 0, y(1/2) = 1. Then, evaluate y(1.603).

A: This question can be solved using the concept of linear differential equation.

Q: An object moves with the acceleration vector ä(t) = with initial ity vector Po= and initial position…

A: Given acceleration of an object after time t is a→t=-2.i⏜+j^+3k^ Let the position vector of the…

Q: Let f(x)=2x+1, find f(a), f(h +a), the net change, and the average rate of change. I found…

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Q: Evaluate A. 30 S 7 dx -2 B. 35 C. 40 D. 45

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Q: 1. Let z = f(x, y) = -tan x + y² + eysin. (a) Use local linear approximation to approximate the…

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Q: Find the area of the region bounded by the graphs of the equations y=x³+x, x=4, y=0. Round your…

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