x = 1 + 2t, y = 4t, z = 23t; x+2yz + 1 = 0

Q: Suppose f(x) = -3x² + 4. Evaluate the following limit. f(−3+h)-f(-3) h lim f(−3+ h→0 = Note: Input…

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Q: 2. Improve your estimate of the area under the graph of f(x)=x²+7+1 from z=3 tox=9 by using twelve…

A: Given that ,find the area using twelve rectangles and right endpoints.

Q: Given the vector fieldF(z,y)=(y³+422-2)i+(3zy2+2y+2)j. Evaluate the line integral SF-dr from (1,0)…

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Q: Given A = -ŷ B = 4A Find the angle between the vector A - B and the vector C whose length is √2 and…

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Q: A hawk flying at 10 m/s at an altitude of 140 m accidentally drops its prey. The parabolic…

A: The height of the prey above the ground is given by the function:

Q: The number of hours of daylight in Boston is given by f(x)=sin( amount of daylight that Boston will…

A: The number of hours of daylight in a Boston is given by .We have to find the least amount of…

Q: Which statement describes the general anti-derivative of the function f(x) = 3 cos(x)? The general…

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Q: Find the average rate of change of the function f(x) = 2x² + 16x+28 on the interval [-3,-3+h]

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Q: lim (x,y)-(1,1) A) 1 x-√√xy 2x²-xy-y² B) 0 C) DE E) N

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Q: 7. Jo 2x + 1 et - dx

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Q: 3. Find the arc length for f(x) = 6 - 2x² over the interval [0, 2].

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Q: Consider the following. 1₁x²² +1° - dA, D = {(x, y) 10 ≤ x ≤ 3,0 ≤ y ≤ √x} Rewrite the above as an…

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

Q: Consider the following function. ∞ f(x) = Σ Σ n=0 = a. Find the full power series of f(x) centered…

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Q: A local publishing company prints a special magazine each month. It has been determined that x…

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Q: Find the anti-derivative of g(x) = 2*, which contains the point (0, 2.44) ○ G(x) = 2 +1 ○ G(x) = 12…

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Q: On a 2,400 mile road trip, two people drive the car. One person drives twice as long as the other.…

A: Given :.To Find :

Q: Let F(x, y, z) = (14xyz + 7sin(x))i + 7x²zj + 7x²yk. Find a function f such that F = Vf. f(x, y, z)…

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Q: onsider the following. 116 x SA, x dA, D is enclosed by the lines y = x, y = 0, x = 4 xpress D as a…

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Q: Book Problem 8 Let V be the volume of the solid S obtained by rotating about the y-axis the region…

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Q: Find the local minimum value of f(x, y) = 4+x¹¹ +y¹¹ - 11zy.

A: To find the local minimum value of the function , we need to find the critical points of the…

Q: Find the equilibria of the differential equation =4+5x+x? Identify all the equilibria. dx dt X =…

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Q: f(x) = x² if x 0 a. f(-4)= (Simplify your answer. Type an exact answer, using radicals as needed.)…

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Q: Calculate the length of the astroid of x² + y² = 3. S =

A: Calculate the length of the astroid ofx2/3 + y2/3 = 3Graph :

Q: The line tangent to the graph of g(x) = x³ - 4x + 1 at the point (2, 1) is given by the formula L(x)…

A: To select: The correct options.Given: The function is and the line tangent to the graph at the…

Q: The line tangent to the graph of g(z) = 2³-4x+1 at the point (2, 1) is given by the formula L(z) =…

A: To select: The correct options.Given: The function is and the line tangent to the graph at the…

Q: An aquarium is 3 ft long, 1 ft wide, and 1 ft deep. If the aquarium is filled with water, find the…

A: To find the force exerted by the water on different sides of the aquarium, we need to calculate the…

Q: 3. Use continuity (direct substitution) to find the limit. 5+ √x x+4√√√5 + x (a) lim (b) lim e²- x-0…

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Q: Solve the following 2nd order differential equation: x²y" - 3xy' + 2y = 0

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Q: Treat h as a constant. For what values of h (if any) does the following equation have equilibria?…

A: dy/dx = y3 – 2y – hWhich of the equilibria, if any, are stable?

Q: Solve the following system of equations by elimination. 4x = 2y + 10 2x - y = 5 O (0, -5) ооо 85°F…

A: 4x=2y+102x-y=5To determine the solution of the given system of equations.

Q: integrate x/(1 + |x|) dx from - 3 to 3

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Q: Calculate the definite integral. √² (6y + xy-2) dx (бу 12y + 2 y Calculate the double integral. √√…

A: In this question , we can find the double integral .

Q: Consider the line integral: I= [(12x-y) dx+(7x+5y) dy where Cis the circle x² + y² = 1 in the…

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Q: RX The following function f(x) = 3 cos +9 represents the depth of water at the end of a boat dock…

A: Given here a function that describes depth of water at the end of boat dock, f(x). Represent depth…

Q: The equations xy2 + 6xzcos(u) + ye" = 12 and x³yz + xe" - 8u²v² = 24 are solved for u and v as…

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Q: et g(x, y) = In x + 2 In y - x-8y . Find the critical points. use the second Derivative Test to…

A: g(x, y) = In x + 2 In y - x-8y

Q: Compute the length of the curve r(t) = (5 cos(2t), 5 sin(2t), 13/2) over the interval 0 ≤ t ≤ 2.

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Q: Problem8. = Find the points on the graph of f(x) : horizontal. 12x 3 x where the tangent line is

A: Note:-Since you asked multiple questions , according to our policy we can solve only first question…

Q: Find the local maxima, local minima, and saddle points, if any, for the function z = 2x³ - 18xy -…

A: We have to find the local minima, local maxima and saddle points of the given function.For this…

Q: Refer to the diagram on the right. Note the open circles. 1. lim f(x) = x-3- 2. lim f(x)= x→3+ = 3.…

A: We have to find the limit of the given function from the graph.According to our guidelines we can…

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Q: On a computer network of 25,000 computers, one computer spreads a vicious virus. The total number of…

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Q: Let z = g(x, y) = f(3 cos(ry), y + ey) provided that f(3, 6) = 6, f₁(3, 6) = 2, f₂(3,6)= 4. i) Find…

A: Given: Let  where  and so  is a function  where as  is a function of according to above notation we…

Q: 2 Calculate the length of the astroid of x ¾ + y² S = FI = 3. =

A: The parametric equation of the asteroid  is x = a cos3 , y=

Q: Calculate the partial derivatives and using implicit differentiation of (TU – V)² ln (W – UV) = ln…

A: In this question, we can find the partial differentiation at the given point/.

Q: tate the domain for the function: f(x) = -In(-x+ 1) + 5 O (-00, 0) O (0,00) O (-∞0,00) O (-∞0, 1)

A: We have to find the domain of f(x)= -In(-x+1)+5The domain of a function is the set of values where…

Q: Vector 3. Skew lines are lines that are not parallel, yet do not intersect, as shown in the diagram…

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Q: Given d = -87 +53 and 6 = – 27 – 3j, find |d +b| and |ā | + |b|. Give EXACT answers. You do NOT have…

A: Given the vector d= -8i +5j, and vector b=-2i-3jFind the |d+b|To find the…

Q: The cost of producing x units of a commodity is given by C(x) = 100+ 19x -0.5x2. Find the marginal…

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Q: Find other polar coordinates (r, 0) of the point (-6, 267) satisfying the given conditions. (Express…

A: NOTE: Refresh your page if you can't see any equations..The given coordinate isFor the first part,…