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Q: A kite is flying at a constant height from the ground at a speed of 2m/s. If the kite maintains the…

A: Draw a schematic diagram of given figure.

Q: Q2. An object is kept at a distance of 20 cm from a concave mirror. A real mage is formed at 20 cm…

A: Topic:- algebra

Q: 25 2) V1x-91

A: To evaluate first: ∫dx|x-9| Assume the positive factors and multiply the correction factors:…

Q: 1) Use the Integral Test to determine whether the series 1 is convergent or divergent. (Зп — 1)? c)…

A: The given series ∑n=1∞1(3n-1)2

Q: Find the slope of the tangent line to polar curve r = 7 cos 0 at the point

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Q: The velocity dx/dt of a chemical reaction is proportional to (a-x), where x is the amount…

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Q: Find the general solution of the differential equation dx = xin (xy)

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Q: Let v=f(x) be a solution of the first order linear differential equation y'=y-10x? such that f(0)…

A: The given problem is solved below in detail..

Q: Let u = and v = Find each quantity: a) (u)(v)  b) (u)(u)  c) (v)(v)

A: Given: u =<4,-3> and v =<-2,7>

Q: Solve the following system of differentia dx = 4x – z dt dy Зу dt dz = x + 2z dt

A: To solve the given equation.

Q: dy - 3y= 5e* with initial condition K0) -5? dx Which of the following is a solution of the…

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: (a) Explain why the function f(x) = e is not injective (one-to-one) on its natural domain. (b) Find…

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Q: IV. Suppose z is a function of r and y, and tan Vy² + x² 2e&y¸ Solve for az az and dy

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Differentiate f (x) = 71n(x²-6x+3) A. (2x – 6) 7ln(x²-6x+3) f' (x) = x2 – 6x + 3 - В. In(7) (2x – 6)…

A: Given query is to find the derivative of the expression.

Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: h(x,y)=x^3-3x+3xy2 for critical point  ∂h∂x=0∂h∂y=0 ∂h∂x=3(x^2)-3+3y^2∂h∂y=0-0+3x(2y)for critical…

Q: Find the equation of the tangent line at the given point on the curve. 2y - Vx = 4. (16,2) y =U

A: We need to find equation of tangent line.

Q: e4z+1 dx e2r – 1 17.

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Q: P8: sin x cos x (2 sin x – 1)(sin x + 1)

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Q: Use the Divergence Theorem to find the flux of F(x, y, z) = (x³ – e")i+ (y³ + sin z)j+ (2³ – æy)k 3…

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Q: 2x2-3x+2 Ex(2) Let f(x) , x + 2. Find Lim f (x) x-2 x-2 Solution

A: Topic:- limits

Q: Assume x and y are functions of t. Evaluate dx = 9, x = 3, y = 0. for 4xe = 12 - In 729 + 6ln x,…

A: Given query is to find indicated derivative.

Q: 5. If fvr² - 25 5. If [ Vx? - 25 dx is transformed by trigonometric substitution, then it will be…

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Q: ind all the relative extrema and saddle points, if any, of the given function below: f (x, y) = ln(x…

A: Relative extrema and saddle points: Consider the function f(x,y)For critical points , fx(x,y) = 0…

Q: Let F(a) = f(x*) and G(x) = (f(x))". You also know that a = 2, f(a) = 3, f'(a) = 15, f'(a*) = 2 |3D…

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Q: Determine the values of a, b, and c for Ax) = ax + bx+c so that f") = 6x- 3 and A2) = -1.

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Q: y 4 (2, 4) y = 2x ソニx? Using a vertical element of area, the area of the shaded region is given by…

A: The objective of the question is evaluate area bounded by the given function and use the vertical…

Q: Find the work done by the force field F in moving an object from P(-4, 8) to Q(6, 4). F(x,y) = 2* 1…

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Q: nd the surface area of the plane ( 15x- 5z+20y=D35) if it is in the first octant

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Q: +1 and y=-x+1 AND find the area.

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Q: Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: To find the smallest distance from the given point to the surface.

Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

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Q: Evaluate the following Integras: 1. ( sin(4t) – 3 sin(2t)² dt 6. Vsech(4x) tan (4x) dx sinh 3y dy 6,…

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Q: The results of an interview of 200 students indicate that 89 like GE Math; 77 like GE Arts; 77 like…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: What are the coordinates of the point on the graph of Ax) = (x+ 1)(x+ 2) at which the tangent is…

A: solution:-f(x)=x+1x+2      =x2+3x+2slope of tangent=ddxf(x)                             =ddxx2+3x+2…

Q: Perform the following operations and express the results in rectangular form: a. (8.21+j4.31) –…

A: Rectangular form

Q: 3x+1 5) lim x+ 2x +5 2+Vx lim ²-3x 6) 7) lim 2-Vx

A: Limits

Q: A cube 3 inches on an edge is given a protective coating 0.1 inch thick. About how much coating…

A: solution:-edge of cube=3 inchescoating=0.1total edge length of cube with coating=3+20.1=3.2…

Q: A ladder 42 feet in length rests against a vertical wall of 36 feet in height. What is the measure…

A: Given query is to find the angle of elevation.

Q: Integration of (sin(x) + cos(x)) e^x is ______________.

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: Find dy for the given values of x and Ax. y = 5x° - 9x, x= - 2 and Ax= 0.2 dy =D %3D (Round to the…

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Q: Change from cylindrical coordinates to rectangular coordinates 0 =- 3 O None of the others O y = -3…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: did not answer my question

A: Apologies for the inconvenience.   Required formulas: ddxfg=ddxfg+fddxg  Product…

Q: 25. Compute the Riemann sums for the function f (x)=x² on the interval [0,2] associated with the…

A: See this solution in below

Q: 7) For each set of parametric equations, eliminate the parameter and find a corresponding…

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Q: 3 1 - dx 2 2. cos sin X

A: solution:-∫cos4xsin3x1x2 dxlet 1x=t-1x2dx=dt=-∫cos4tsin3t dtWe know that the formula  2cosAsinB =…

Q: If f(x) = sin (a*), find f (x) Find f'(5)

A: Given function is f(x) = sinx3 we have to find the first derivative of f(x) that is f'(x).

Q: 2. The area bound by the curve y = ezr, the y – axis and the line y = 4 is rotated about the line y…

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