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Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i+j+ 9k w = i+ 3j + 7k Find the ...

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Q: (2y? + 2y + 4x²)dx +(2xy +x)dy = 0; when x =- 1 and y = 0 %3D

A: Let's find. 

Q: 4 20 Find f(5x)dx if f(x)dx = 3. Enter the exact answer. 4 f(5x)dx =

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Q: The sales, S. of a product have declined in recent years. There were 204 million sold in 1984 and 1....

A: The sales, S, of a product have declined in recent years. There were 204 million sold in 1984 and 1....

Q: A F(s). s2 + 4 1 B F(s) s? + 2 1 ©F(s) S - 2 DF(s). S + 2 S E F(s) s2 + 4 S - 2 FF(s) = (s - 2)2 + 4...

A: Question-  Find the inverse Laplace Transform of the given function-  f(t) = cos (2t)

Q: Given: g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 Find (1) the derivative with respect to x and (2) th...

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Q: 2n +1 Σ n n tan-1 n n=1

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Q: 9 1/2-8 3/4+10

A: We have to find solution of given expression.

Q: Evaluate the given integral applying Chain Rule * S(V25 + x² ) 2x 2 (25+x²)v25+x² -+ c С. 2 (25-x²)v...

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Q: Evaluate the following using trigonometric substitution: dx V25 + x²)

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points (5...

A: Given : The plane passes through the points (5, 4, 1) and (5, 1, -6) and is perpendicular to the pla...

Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth (p...

A: Given problem:- A rectangular package to be sent by a postal service can have a maximum combined len...

Q: Find the surface area of the solid of revolution obtained by rotating the curve 2y – y? from y = to ...

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Q: Question 4 Find all the local maxima, local minima, and saddle points of the function. f(x, v) = 36x...

A: Let us consider a function f(x,y) . To get the critical point of f(x,y) we put ∂f∂x=∂f∂y=0 Let (a,b)...

Q: Set up an integral representing the area A of the region enclosed by the given curves. x = y*, x = 2...

A: Explained below 

Q: MY NOTES Find the volume V of the solid obtained by rotating the region bounded by the given curves ...

A: Topic = Volume

Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact answe...

A: This question is based on dot product and mod of vector.

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 300 + 800t – 90t², where t is...

A: Given problem:- The traffic flow rate (cars per hour) across an intersection is r(t) = 300 + 800t - ...

Q: A landscape architect in a botanical garden plans to enclose a 2000 square foot rectangular region a...

A: Let the length= x foot  Breadth= y foot  Area = lb = xy  2000= xy .   

Q: eny x+9 dx dy e+y en8 Iny dy %3D en8 e [ e-e] dy eny en8 [ye- e° ] dy | ل ام مو ] en8 | ye- e° - e ]...

A: Let I=∫1ln(8)∫0ln(y)ex+ydxdyI=∫1ln(8)∫0ln(y)exeydxdyI=∫1ln(8)ey∫0ln(y)exdxdyI=∫1ln(8)eyex0ln(y)dyI=∫...

Q: Calculate the producers' surplus for the supply equation at the indicated unit price p. (Round your ...

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Q: Consider the Second Order Differential Equation d?i di drz +77+ 10i = 0 dt Where i represent current...

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Q: Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are g...

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Q: Find a general solution to the given differential equation. y" -y'-56y = 0 A general solution is y(t...

A: If the roots m1,m2,...,mn of the Auxiliary equation is real and unequal then complete solution is   ...

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -10, 5), and the plane given b...

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Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+7k w = i+ 8j + 7k Find the v...

A: Volume of the parallelepiped is 238 cubic units. 

Q: 4. Indicate if each improper integral converges or diverges. a) ['te*dt dx c) Lo1+x -2t а) b) x -1 1...

A: The given integrals are: a) te-2t limit from 0 to infinity.  b) x/(x2-1) limit from 3 to infinity.  ...

Q: d?x ax dx ÷+ 9x = 0, when x(0) = 1 and (0) = 0 dt2 dt dt

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Q: Find the formula for the nth term of the arithmetic sequence. a1 = 11, d =

A: Given query is to find the formula for nth term.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: This question is based on 3d line equation.

Q: 2xy cos(x^2) - 2xy + 1]dx + [sin (x^2) - x^2]dy = 0

A: Note : “Since you have asked multiple question, we will solve the first question for you. To get rem...

Q: f(x) = 6x/(1 + x²)², [0, 2] %3D (a) Find the average value fave of f on the given interval. fave = (...

A: Question- f(x) = 6x/(1+x²)², [0, 2]   (a) Find the average value (fave ) of f on the given interval....

Q: 2 dx 9-36x²

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Q: O Find Hhe lme qr=sin'o when the elpe 3.)

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Q: %24 dl 10 4 60 S 8. 9- 5. 3. 2 # esc (Do not round until the final answer. Then round to the nearest...

A: Question- An investment loses 2.4% of its value every week. Find the half-life in this situation.

Q: Determine if the series is absolutely convergent, conditionally convergent, or diver 4n+1 (c) 2 32mn...

A: The given series of summation of 4n+1/[32nn2], n from 1 to infinity. 

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: I+x 5. Show that y = has three points of inflection and they all lie on one straigl 1+ x2 line.

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Q: The limit of a function exists and is equal to Lif the right-hand limit and left-hand limit both exi...

A: The limit of a function exists and is equal to L if the right hand limit and left hand limit both ex...

Q: 1.f(0) = (금x* + 3)" %3D

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Q: Question 6 Find all the second order partial derivatives of the given function. f(x, y) = x y 2 + y ...

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Q: Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth. RMS

A: Given query is to find RMS.

Q: 8. 4dx + (x- y + 2)'dy = 0 (2--2

A: Note: According to our expert guidelines only one individual question is to be answered kindly repos...

Q: given the system of equations: 4x(x2 + y - 11) + 2(x + y2 - 7) = 0 2(x2 + y - 11) + 4y(x + y2 - 7)...

A: We need to solve the given system of equations for x and y: 4xx2+y-11+2x+y2-7=02x2+y-11+4yx+y2-7=0  ...

Q: Find the directional derivative of the fellowing functions at Point Po in direction of the Vector à ...

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Q: Solve y" – 2y' + y = 0; y(1) = y'(1) = 0

A: To solve the given differential equation.

Q: 4. (a) Estimate the area under the graph of f(x)=1/x from x=1 to x 5 using four approximating rectan...

A: Here is the solution of the given problem. Area estimation by upper sum and lower sum.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Find the differential dy of the given function. y = arctan(x - 2) dy dx

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Q: Suppose that the following is true about the function f: 1. So f(x)dx 2 II. S f(x)dr = -1 II. f(x)dr...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...