Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); fi-) U =

Q: 2 2 Write the equation in polar form: x + y = 225 %3D

A: Given,               x2+y2=225

Q: Use the formula k(t) ||r'(t) × r"(t)|| to find k(t). ||r(t)| r(t) = 11 cos(t)i+ 11 sin(t)j + 6tk

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Q: 5. S(-3 Vx- 6x Vx) dx

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Q: 1. Find the average value of f(x) = on [0, 1].

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Q: Given that f(1) = r°h(x) h(– 1) = 5 h'(– 1) = 8 %3D Calculate f'( 1).

A: Given that fx=x6hxh−1=5h'−1=8

Q: Find a and b such that v au + bw, where where u (1, 2) and w - v- (0, 6)

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Q: I need some help with this question. Thank you :)

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Q: If 0 = then sin(8) = cos(e) %3D Give exact values. No decimals allowed! Submit Question

A: Given θ=2π3We can convert given raidans to degree. So, 2π3=2*1803=120°120=180-60We know that…

Q: Question 3 Assume y is a differentiable function of x which satisfies the following equation: y2 +…

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Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t < T L = ||

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Q: Find r'(t), r'"(t), and r'(t) · r"(E). r(t) = (t2 + 7t)i – 2t?j (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A: Given integral ∫13 2x+6x2+6x+2 dx

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 410 N/m as shown in the…

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Q: Determine whether the given series converges or diverges. 4n – 8n 5" n = 1 converges O diverges If…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 7 Ex + 3y +z = 8 Find the normal vector, n,,…

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Q: Find u v, u·u, ||v||², (u · v)v, and u · (3v). (5, -2, 4), v = (0, 7, 5) U = (a) u V (b) (c) ||v||?…

A: The given vectors,  u=5,-2,4, v=0,7,5

Q: Profit. Suppose the profit of a product is modelled by the function f(x) = 2x3 – 30x² + 126x + 3 The…

A: First we find critical points then check absolute maximum values.  Answer is maximum value is 165 at…

Q: Find the value of m for which the equation x' + y? – 2y + 4x –m = 0 represent a point. O NONE OF…

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Q: 13. Find the inverse of A= 1 1 Use any method. Show your solution. 0 2 3 55 1J

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Q: a) f(x)dx = f(x) b) f(x)dx = y = f(x) Area A = 1 Area B = 2 Area C = 2 | 5f(x)dæ = A c) Area D = 0.6…

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Q: 3. y" +4y = 0; yıi =cos 2x, y2 = sin 2x; y(0) = 3, y'(0) =8 4. y" + 25y = 0; yı = cos 5x, y2 = sin…

A: Note : "Since you have posted multiple questions, we will solve first question for you. To get…

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). f(x) = 5 sin (4x³) If…

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Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Plan -A: f(t)=3090000e0.03t⇒f(5)=3090000e0.03(5)⇒f(5)≈3590068

Q: For the function f(x, y) = 2x² – 3xy + 8y² + 2x – 4y + 4, find a tangent vector to the level curve…

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Q: 2. Determine if the given sequence converges or diverges. If it converges, what is its limit? (a) {…

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Q: The graph of a piecewise-linear function . for-15xS 4. is shown above. What is the value of (A) (B)…

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Q: p(x, y, z) 4 – x² – y²

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (9, 5)…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Symmetric equation of a line passing through the two points P(a,b,c) and Q(p,q,r) is given by,…

Q: Find the derivative of the function described. (Rx5) 1E 32 4. f (x) = (1+x² )*²

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Q: Find the following. (0, 1), v = (5, -3) (a) u|| (b) ||v|| (c) |u + || (d) |ll M (e) u+ v (f) |u+ v

A: Given  u = 0, 1, v = 5, -3

Q: determine if it converges or diverges   a) cionverges by series p b) diverges by series p…

A: To solve the following problem

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: dx 7. S; x³ Vx2-4

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). v = (0, 6) %3D

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Q: Identify the inside function, u = g(x), and the outside function, y = y = (x2 – 6x + 9)2 u = g(x) y…

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. 9x+9…

A: First we factorise the denominator of the given function.Then form the partial fraction…

Q: Find the derivative of the function described. (Rx5) 4х-2 5. у 3 3x+4

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Q: Given the graph of the function below. Find the limit of the function as x approaches 5. * (3, 4)…

A: From the given graph, we have to find the limit at x=5

Q: Determine the of : In (xy²) = x y dx

A: Derivative dydx of equation  lnxy2=xy

Q: Given the pair of price-demand and price-supply equations below, calculate each of thne following:…

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Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

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Q: Consider the following differential equation. (x2 + y2)y′ = y2 Let  f(x, y) =  y2/x2 + y2 .  Find…

A: This is a problem of differentiation of the function. Based on the general formula we will answer…

Q: (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the ezact answer.…

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Q: If f(x) and g(x) are continuous functions, then Sra)• g»] dx = [ f«x)dx• [ g(x)dx.

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Q: Find the equation of the circle with center at (4. -1) and passing through the point (2. -2).

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction I|v|| =…

A: The objective is to find the vector v.

Q: Find the length of arc of the given curve.

A: Given: R→=sin2t, cos2t,2t32, 0≤t≤1