Find the volume of the wedge cut from the first octant by the cylinder z = 12-3y² and the plane x+y=2.

Q: Evaluate the Limits: a) limt->-1(t2+3t+2)/(t2-t-2) b) limx->9 (9x-x2)/(3-x1/2) c) limx->-inf…

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Q: 1. Use the differential form of the chain rule to find if y = ² and u = x² + 1. 2. Find the…

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Q: A ball is dropped from the top of a lighthouse that is 145 feet above sea level. The height…

A: Given height function s( t ) = -16t2 + 145

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Q: If x² + y² - 3xy² = -1, find dy/dx in terms of x and y. Using your answer for dy/dx, fill in the…

A: Given equation:- x2+y3-3xy2=-1

Q: Evaluate the double integral over the given region R SS ex- dx dy R: 0≤x≤ In (4), 0≤ys In (4) R

A: Use the common integral formula: ∫eax+bdx=1aeax+b+C   Given: ∫∫Rex-ydxdy  R: 0≤x≤ln4, 0≤y≤ln4

Q: Consider the function g(t) = = t 7+t²

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Q: Find the limit. sin(8) lim 0 0 90 + tan(0)

A: It's in a 0/0 form, so we can apply L'hopital rule.

Q: A meadow has the shape shown, where the measurements shown were taken at 30-foot intervals. Use…

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Q: Determine the volume of the region bounded by y=x^(2)-2x and y=x that is rotated about y=4

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Q: 2. (a) ( 5) Evaluate مل ) + رند tim → o+ ** * → + x inx - Sin x

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Q: (It sinx) dx + #* HN (It sin x) dx

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Q: Find the general solution for the differential equation. dv 6- - 12xy - x = 0 y = = 1/2 + Ce=x² y =…

A: Given differential equation:- 6dydx-12xy-x=0

Q: A volume is described as follows: 1. the base is the region bounded by x = -y² +12y +7 and x = y² −…

A: Given that x=-y2+12y+7 and x=y2-24y+151we have to find volume of object

Q: Solve the equation for the indicated variable. R1 R2 for R₂ R₂ X

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-6, 0,…

A: Concept if a line passing through ( a, b , c ) whose direction ratio are ( l, m, n ) then equation…

Q: Find y" by implicit differentiation. Simplify where possible. x² + 7y² = 7 y" = =

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Q: In 1997, researchers at Texas A&M University estimated the operating costs of c sizes. A quadratic…

A: Given: c(q)=0.021q2+26.9q+313

Q: Find the volume of the solid enclosed by z = 6, y = 0, y = 16-r², and z + y = 22

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Q: Find the cross product a x b. a =j+ 6k, b = 5i - j + 4k Verify that it is orthogonal to both a and…

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Q: A trough is 8 ft long and its ends have the shape of isosceles triangles that are 5 ft across at the…

A: Let b be the base of triangle and h be the height of triangle.Using the property of…

Q: Graphs of the position functions of two particles are shown, where t is measured in sec notation.)…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (a) Find the equation of the tangent line to the curve y = x² at x = 1. (b) The line in part (a) is…

A: Let m be the derivative of y w.r.t x at the given point x, then the slope is m. The equation of the…

Q: At 1pm a bicycle is 9 ream shop travelling the ice cream shop) mpn. At the same time, another bike…

A: Given : after t hr , distance travelled by A = 15t miles  distance between A and C = 9 - 15t…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2-2².…

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Q: Find the 36th derivative of f(x) = cos3x. Enclose arguments of functions in parentheses. For…

A: f(x)=cos(3x)d dx(sinx)=cosxd dx(cosx)=-sinx

Q: The graph of f(x) is given on the grid. Graph ƒ'(x), its derivative. 5- -5 -4 -3 -2 -1 3 2 1 -1 -2…

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Q: Determine algebraically the solution to the system:  x^2 + 2y^2 = 11 3x^2 - 2y^2 = 25

A: Solutions are : (3,1),(3,-1),(-3,1) &(-3,-1) For detail...go through the solution...I have…

Q: Karl Yates needs $6,000 to pay for the remodeling work on his house. A contractor agrees to do the…

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Q: (a) The curve with equation y2 = 5x4 - x2 is called a kampyle of Eudoxus. Find an equation of the…

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Q: Suppose a product's revenue function is given by R(q) = -5q² + 700g. Find an expression for the…

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Q: Find the surface area for the portion of the surface z − 2x + y2 = 21 that lies above the triangle…

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Q: 1. Find the length of the arc of the curve 3 (2 x − 1)² from x = 0 to x = 8 - y = 32/2 (2x

A: Given :y=2322x-132

Q: Differentiate f and find the domain of f. (Enter the domain in interval notation.) f(x) = = domain X…

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Q: The total cost (in hundreds of dollars) to produce x units of perfume is C(x) = 9x - 4 8x + 5 (a)…

A: The solution is shown below-

Q: Find the critical points for the function f(x,y)=32xy−(x+y)^4 and classify each as a local maximum,…

A: To solve the following problem

Q: Where does the line x = 5+1, y = 9-1, z = 21 intersect the cylinder x² + y² = 196? Enter your…

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Q: Consider the function f(x,y)=e^4x−x^2−4y−y^2. Find and classify all critical points of the…

A: Given function:- fx,y=e4x−x2−4y−y2

Q: Find the derivative of the function. y = x²√√16x² V y' = -

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Q: As you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you lies an…

A: Here is the solution:

Q: ASAP

A: We have to write the equation of g(x) from the given function f(x).

Q: Concentration of a Drug in the Bloodstream The concentration (in milligrams per milliliter) of a…

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Q: A particle moves according to a law of motion s = f(t), t≥ 0, where t is measured in seconds and s…

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Q: Use the graphs of f and g shown below to find the following: (a) g (f (2)) = (b) f (g (4)) EHH f(x)…

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Q: 9. A ladder 25 feet long is leaning against the side of a house. The base of the ladder is pulled…

A: Here -ve sign indicates ladder is decreasing its height along downward at the rate of 7/12 feet/sec…

Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

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Q: Determine which of the limits below are in a form where L'Hôpital's Rule applies. For those limits,…

A: The solution is shown below- As per bartleby guidelines only first part is allowed to solve. Kindly…

Q: Convert the integral to polar coordinates and evaluate it (use t for 8): With a = √4 ²0b=0c and d=…

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Q: xzdS where S is the part of the parabolic Compute the surface integral =ylinder z = 2² that lies…

A: We have to compute the surface integral:∫∫S xz dSwhere S is the part of the parabolic cylinder z=x2…

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 20 bushels of fruit. She…

A: According to the given instruction, the answer is as follows