Use Ayf '(x)Ax to find a decimal approximation of the radical expression. √29

Q: The area of an ellipse with axes of length 2a and 2b is лab. The percent change in the area when a…

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Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane y + z…

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Q: The safe load, Z, of a wooden beam supported at both ends varies jointly as the width, w, and the…

A: Terminology Load = L width = w length = l depth = d

Q: metal Bar at a temperature of 120°F is placed in room temperature 10F, If after 20 mins, the…

A: Given: T1=temperature of the metal bar, 120°FT2=room temperature, 10°FT=temperature of the metal bar…

Q: 3. Find a, b and c if (x + y + az)i + (bx + 2y − z)j + (−x + cy + 2z)k is irrotational.

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

Q: Find all points (x, y) on the graph of y = x2 −6 with tangent lines passing through the point (3,…

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Q: The tangent to (2,4) on the graph of a function f(x) is y = 5x - 6. Evaluate f'(2). (a) 5 (b) 4 (c)…

A: We have given the equation of tangent line y=5x-6 of f(x) at point (2,4).

Q: 4 16 16-y -!!!- Here is the region of integration of the integral a. dy dz dx b. dy dx dz c. dx dy…

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Q: Find lim f(x) if, for all x > 1, x → 00 4 12ex - 24 4ex X 3√x √x-1

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Q: The weight of a fish varies jointly as its girth and the square of its length. One fish weighed in…

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Q: Given f(x, y) = 2x² + 6xy³ + 4y5, find the following numerical values: f(3, 3) = 4. f₂(3, 3) =

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Q: Obtain the general solution of the following differential equations 6. xdy - ydx - √√x² - y² dx = 0…

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Q: Find the components of the vector - 4c based on the vector shown.

A: The magnitude of the vector in x direction is represented by i component. The magnitude of the…

Q: Suppose that f(x, y) = z²y. The directional derivative of f(x, y) in the directional (-1,-2) and at…

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Q: [1-R] [CLO 12] What is the slope of the line f⊥, where f⊥ is a line perpendicular to the line f,…

A: The given line is: 4y-3x=5

Q: Find the extreme values of f(x,y) = xy subject to the constraint x² + y² -4 = 0. The extrema are…

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Q: A solid is constructed so that one side is the region between the lines x = a, x=b, the graph of y =…

A: The given data is:   y=fxx=ax=b

Q: Consider the graph below. Which of the following is the correct setup for the area of the shaded…

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Q: Find all the first order partial derivatives for the following function. f(x,y,z)=x²y+y²z+xz² O A.…

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Q: Find the tangent plane to the equation z = − 2x² + y² - 5y at the point (4,5,-32) z = Question Help:…

A: Given z = -2x2 + y2 - 5ypoint → ( 4 , 5 , -32 )

Q: Let y = e¹/2 Find the differential dy when x = 1 and da Find the differential dy when = 1 and da = =…

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Q: O Find the following limits e³x - ex (a) lim x→0 sin(x) e-1-x (h) lim

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

Q: Find the 0 ≤ x ≤ 4 arclength of y = 4x²2 on

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Q: Given the vector u = (5, 3), find the magnitude and angle in which the vector points (measured…

A: u→=<5,3>

Q: Consider the curve r(t) = (6 cos(t), 6 sin(t), e), 0 ≤ t ≤ π. Find r'(t). r'(t) = Consider the plane…

A: Given curve:- rt=6cost,6sint,et

Q: help. I need the y and x axis

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Q: Find the arc length of y = 4x + 1 on 0 ≤ x ≤ 2.

A: Recall the formula: ddxconstant=0ddxx=1∫dx=x+C

Q: A streetlight is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: Evaluate the limit sin 8x lim x 0 sin 2x

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Q: Find the arclength of y = 2x² - 5 on 0 ≤ x ≤ 1

A: Given: y=2x2-5 on 0≤x≤1 To find: Arc length.

Q: 4. Find y if ((2x+7)dx x +4x+8 I = -1 tan y + C In|x² + 4x + 8 + 1⁄2 ta

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Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: Find the derivative of the function at the given point in the direction of A. f(x,y) = -6x-9y,…

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Q: Question 5 of 10, Step 1 of 1 The variable a is jointly proportional to the square of band c. If a =…

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Q: When a mass of 2 kilograms is attached to a spring whose constant is 32 N/m, it comes to rest in the…

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Q: distance in between the point P(3, 1, 2) and the point Q(0, 4,

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Q: Determine the PDE of all surfaces cutting the family of cones given by x²+y²-a²z²=0

A: The family of cones given by the equation:   x^2 + y^2 - a^2*z^2 = 0

Q: Determine the following indefinite integrals using the given substitution a. [x cos(32²) dx, u = 3x²…

A: We need to find the given integration (a) ∫ xcos3x2dx

Q: Determine an expression for the derivative of this function. (Do not simpli f(x) = (2x²-x)(√√x² - 1)

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Q: The gradient of f(x, y) = zy at (x, y) = (-1,1) is

A: The gradient of function f(x,y) is represented by ∇f(x,y) where:∇f(x,y)=∂f∂x,∂f∂y          Equation…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + 5x,…

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Q: fx cos(3x) dx

A: M=∫xcos(3x)dx∫cosxdx=sinx+c∫sinxdx=-cosx+c∫(a.b)dx=a∫bdx-∫(dadx.∫bdx)dx

Q: Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem. y" + gy…

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Q: If is differentiable, then the function. e + f(x) √√3 is differentiable.

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Q: determine whether a system of two linear equations with (0,0) and (2,2) as solutions

A: The objective is to solve the above question.

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = 5xy - 4y², P (2,10), A=…

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Q: Find all local extreme values of the given function and identify each as a local maximum, local…

A: Topic:- Application of derivetive

Q: du Draw a dependency diagram, and write a chain rule formula for ds Choose the correct dependency…

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