f(x, y) = 2y – 6ry - x 2.

Q: 1 Given Perimeter of a rectangle is 130ft Find length and width which will give Maximum Area

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Q: 2. Let f be continuous and differentiable everywhere. Suppose that f(-1) = f(1). Show that there are…

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Q: In 6 19) ex dx In 3

A: ∫ ex dx = ex +C

Q: Find the limit. (If you need to use o or -oo, enter INFINITY or -INFINITY, respectively. Round your…

A: lim  ln(x-2) x--2+ here we can direct apply limit  ln(2-2) = ln0 =  INFINITY

Q: d² (¤Arctan x dx?

A: To find the following derivative of the given function.d2dx2x arctan x

Q: 4- 2- 2 3. To find the blue shaded area above, we would calculate: f(z)dz = area Where:

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Q: Find all the rational zeros of the function f(x) = 2x - 9x4 + 9x³ - 3x² + 7x + 6. -1, 2 x = 을 3,2 x…

A: Roots satisfyf(x)=0f(x)=2x5-9x4+9x3-3x2+7x+6f(-1)=-24f(1)=12Options, A and E ruled…

Q: 3T/4 18) 3 sec 0 tan 0 de

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Q: Let i = (– 4, 4, 5) and i = (6, – 3, – 2). %3D • Hint

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Q: lim e 0 t/ Select one True False

A: limx→0+e1xusing chain rulelet f(x) =1xg(u) =eulimx→0+ f(x) = limx→0+ 1x =∞

Q: 4 (2+ VT)5 5. Calculate 0.

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Q: 10

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Q: A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. (a) Find the…

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Q: The dimensions ofavectargubr refion are varying with the bimelt accordng -28 Cm/see and wa3t+6…

A: suppose area be represented by AA= L×wA=(2t2-8)(3t+6)A=6t3+12t2-24t-48now differentiating on both…

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

A: The given function,    f(x)=-7+20x2+10x33

Q: Write the first five terms of a geometric sequence a} based on the given information about the…

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Q: 3:30 A3. If y = e2x+5 then y' = %3D LA) 2e2x+5 (b) e2x+5 (c) 5e2x+5 (d) e2

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

Q: Let å = (- 5, 5, – 3) and b = (4, – 1, 0). Find a unit vector which is orthogonal to å and b and has…

A: Given query is to find the unit vector orthogonal to a and b

Q: Find the demand function q = D(x), given the following elasticity conditions. E(x) = q= 235 when x=…

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Q: Find the vector component of v = (4, - 1, 7) along b (3, 6, -6) and the vector component of v…

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Q: a) How many 3-digit positive integers are there with odd digits?

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Q: Use logarithmic differentiation to find dy/dx. y = x6/x dy %3D dx II

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Q: Finding a Limit Graphically In Exercises 5 and 6, use the graph to find the limit (if it exists). If…

A: f(t)=ln(t+2)t At some point t=a we say that limit exists if both  right and left side limits exist…

Q: 2х + 3 dx x² + 3x

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Q: Kindly write the step by step solution. Two particles, A and Bare in motion in the xy-plane.…

A: Two particles,A and Bare in motion in the xy-plane.Their coordinates at each instant of time t…

Q: Find the center (h, k) and the radius r of the circle 4x2 + x + 4y? + y – 10 = 0.

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Q: ercise To Try 4 (A piecewise function.) Find the area under the graph of f(r) and ve the x-aris…

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Q: ee) Using the Laplace transforms to solve the following equations: y" + 3y' + 2y = e', y (0) = 0, y'…

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Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

A: x2-9x+207x3+19x2 =x2-9x+20(7x+19)x2x2 can not be further simplified !!Because (x)2 has an exponent…

Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

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Q: Jse Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: Assume that ū. i = 3, |ū| = 5, and |õ| = 6. What is the value of 5u. (4ü – 87)?

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Q: Question A vertical cylinder is leaking water at a rate of 5 m²/sec. If the cylinder has a height of…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. (y - x) dx +…

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Q: B C 13 a.) Find LA 11 33 D A

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Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (14, 0) Vg(14, 0) = %3D

A: gradient g(x,y)=(dg/dx)2+(dg/dy)2 dg/dx = 12ey/x + 12xey/xylnx dg/dy = 12ey/x (dg/dx)(14,0) = 12 +…

Q: Find the area between the curve f(x)=x^3−110 and the​ x-axis from x=1 to x=3.

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: This question can be solved by applying the concept of vector of magnitude x in the direction or in…

Q: Evaluate the sum. 7 3 ) Σ 2-3 k = 1

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Q: Find * sin (In æ) cos²(ln x) dx. cos (In x) , cos³ (In x) 3 cos (In x), cos³ (In x) 5 3 5 Option 3…

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Q: Let A(z) represent the area bounded by the graph, the horizontal avis, and the vertical lines att=0…

A: Given data÷

Q: 4y 1. Find all values of x such 49. Let F(x, y) = 2xy + 3x that F(x, x) = 0. %3D I

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Q: Assume s is an angle with sin (s) = . t is an angle with cos (1) = and both angles are between 0 and…

A: We have to find the given trigonometric quantity.

Q: Convert the given point to the indicated coordinate system. a. Rectangular (?, ?, ?) = (2, −2, 4) i.…

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Q: Find the area of a triangle PQR, where P = (2, – 3, – 4), Q = ( – 6, – 2, – 6), and R = (5, 6, – 6)

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Q: Evaluate the limit below. 28 – 4x + 7x2 lim -9x² – 4 - 4

A: LetL=limx→∞ 28-4x+7x2-9x2-4Divide N and D by x2L=limx→∞ 28x2-4xx2+7x2x2-9x2x2-4x2L=limx→∞…

Q: 12) (sin (4x - 9) dx

A: Given function : sin (4x -9) To find : Integral of the function.

Q: Assume s is an angle with sin (s) = .t is an angle with cos (1) =. and both angles are between 0 and…

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Q: Simplify f and find any vertical asymptotes of f. x²(x+8) f (x)= x²+ 8x

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Q: A bulk food storage bin with dimensions 3 feet by 4 feet by 5 feet needs to be increased in size to…

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