equation

Q: An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of…

A: Given:- An aquarium 2m long,1m wide and 1 m deep and density of water is 1000kg/m3

Q: Find T, N, and K for the plane curve r(t) =(8cost+8t sin t)i + (8sin t-8t cos t)j, t> 0.

A: ''Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the equation of the sphere passing through P(−8, 7, 4) and Q(6, −1, 5) with its center at the…

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Q: Use h(x) = C = 8x c CX + 1 - (a) Find the value of c so that h(x) has a horizontal asymptote of y =…

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Q: Find the antiderivative G(t) of (t) = (te²²₁ +2²² that satisfies G(0)= (1, -4, 2). (Your instructors…

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Q: 29. 0-2 1 3 5 ] [ 4 -7 -1 6 1 4 -7 0-2 5 3-1 6

A: 29) let A = 0-2514-73-16B = 14-70-253-16

Q: Jse f(x) = x + 5c x² + c to answer the questions below. (a) Find the value of c so that f(x) has an…

A: Given query is to find value of c for x intercept and find y intercept..

Q: 8 Find equations of all lines having slope - 2 that are tangent to the curve y = X-9

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Q: Find the area of the region bounded by equations by integrating with respect to X. y=x^2 and y=12-x

A: Topic = Area

Q: 3. (x+y-4)dx - (3x-y-4)dy = 0; when x = 4, y = 1

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Q: Is the triangle ABC with vertices A(3, 2, -1), B(6.3.0) and C(-3, 1, 4) acute, right or obtuse? Note…

A: Given :A3,2,-1B6,3,0C-3,1,4

Q: Find the following using the table below. 3 4 4 1 X 1 2 f(x) 3 2 f'(x) 1 3 g(x) 3 4 g'(x) 2 1 AWNN…

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Q: ses the y-axis. X 3 - 2 1 0 1 2 3 Y₁ 1 6 9 14 Y₂ 0 III - 2 -3 -4 - 5 - 6 12345 I -

A: We will find the required.

Q: II. Find the complete solution of the following differential equations using integrating factor…

A: We can solve the given differential equation by the method of solving exact differential equation.

Q: For the function f graphed below, find the following limits: 1. lim_f(x) = x-4- 2. lim_f(x) = 3. lim…

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Q: On what domain is the function f(x) = - 8x - 7 continuous?

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Q: 5. A force of 40 N is required to hold a spring that has been stretched from its natural length of…

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Q: Find an equation of the tangent line to the curve at the given point. 3x² - 9x + 1, (4, 13) y = y =

A: We need to find tangent equation.

Q: Question 7 Find the surface area of revolution about the x-axis of y = 6x + 6 over the interval 2 ≤…

A: INTRODUCTION A surface of revolution is the surface created when a two-dimensional curve is rotated…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 6-√x 36x - x² lim X→ 36

A: limx→ 366-x36x-x2

Q: Suppose that a particle moves along a straight line with velocity v(t) = 8-3t, where 0 ≤ t ≤ 1 (in…

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: Given: This is Bernoulli in y. Now,                dydx=7y+y2⇒dy7y+y2=dx So, the above is…

Q: A thief steals a number of rare plants from a nursery. On the way out, the thief meets three…

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Q: e an equation that is a necessary constraint so that the matrix equation Ax = 6 has a solution. 1 -4…

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Q: Solve the initial value problem for r as a vector function of t. dr 1/2, = = 3(t + 1)¹⁄²¡+5€¯¹j+ + +…

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Q: The velocity v of blood that flows in a blood vessel with radius R and length / at a distance r from…

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Q: xp zp ^p rəх JJJ, 6. . In z

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Q: Find an equation of the plane. The plane that passes through the point (-2, 3, 3) and contains the…

A: Given: Plane passes through point (-2, 3, 3) and it contains two lines x+y-z = 3 and 4x-y+5z = 2  To…

Q: Find the equation for the plane through the points P(0, – 3, − 3), Qµ (5,2,0), and Rô(1,1,0). Using…

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Q: Find the plane determined by the intersecting lines. L1 x= -1 + 4t y = 2 + 2t L2 x=1-4s y = 1+2s…

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Q: Does the parabola y = 3x² - 20x + 3 have a tangent whose slope is - 2? If so, find an equation for…

A: Given data: Parabola y = 3x2-20x+3 Slope is -2

Q: A contractor purchases a backhoe for $37, 300 Fuel and standard maintenance cost $5.95 per hour, and…

A: Given query is to find cost, revenue and profit function.

Q: Find an efficient formula in terms of m and n for the following sum expressed in sigma notation:…

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Q: Evaluate ₁ f (x) dx if ƒ(x) · = O 14 O 12 O 8 06 2x x-1 if x 3

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Q: =h(p(u)) where p(u)=u² +3u³ −5u. If h'(-1)=5, find dv du 24. Let V= when u = =1.

A: Topic = Derivative

Q: Find the power series an B and an ∞ Σ anan expansion of if n is even if n is odd. the radius of…

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Q: Use differentials to approximate √12. b Express your answer as a ± where a is the nearest integer.…

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Q: Solve the given differential equation by finding, as in Example 4 in Section 2.4, an appropriate…

A: Given differential equation:- 2y2+6xdx+2xydy=0

Q: g(x) = - 5X ; a=0 LN Each graph is displayed in a [-1,1] by [0,20] window. Use the graphing utility…

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Q: The line graph shows the cost of inflation in some country. What cost $10,000 in 1975 would cost the…

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Q: If  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

A: Given: limx→1f(x)-8x-1=2

Q: The angle between two planes is the smallest angle 8 between the normal vectors of the planes, where…

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Q: -) Solve (²³=2+1) +1)dx with Composite Simpson's 1/3 Rule for n=4 subintervals.

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Q: -2 8- y = f(x) y=√√√x+1 y = 3x - 23 P(9,4) 13 What is the right-hand derivative of the given…

A: Solution: y = 3x -23 limh→0+f(9+h)-f(9)h

Q: intercepts and asymptotes to decide which of the following functions has as its graph. 1. f(x) 2.…

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Q: Social Security recipients receive an automatic cost-of-living adjustment (COLA) once each year.…

A: Social security recipient recive an automatic cost of living adjustment (COLA) once each year Their…

Q: A manufacturer has a monthly fixed cost of $47,500 and a production cost of $7 for each unit…

A: a) cost= fixed cost + each unit cost let x units are produces cost= 47500+7x

Q: Question 3 The arclength of y = 4x² − 2 from x = 0 to x = 2 is given by: 2 S₁² OL= OL= [²√1 + 64z²dz…

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Q: write a multiplication sentence that uses a variable

A: Given: write a multiplication sentence that uses a variable

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

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