Given the following vectors, calculate −9v u=⟨−8,−4⟩,v=⟨3,−2⟩

Q: Question The region D bounded by y = e, z = 0, and y=z³ is shown in the following figure. Is this…

A: The given shaded region is of type II If we will find the area of the shaded region then firstly we…

Q: ¯= (x)= y: H ✦✦✦

A: We have to find the following conditions according to the given information

Q: Use integration by parts to evaluate the integral. √xe4x dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method

Q: Find the general solution of (y^2 – xy)dx + x^2dy = 0.

A: Given differential equation (y2–xy)dx+x2dy=0(y2–xy)dx = -x2dydydx = (y2–xy)-x2dydx = ( xy - y2 )x2

Q: 2) Given the following graphs determine the end behavior using the formal limit notation (lim f(x)).…

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Q: Match the general solutions to the differential equations. ✓ (D² - 18D+81)y=0 (D²+14D+49)y=0 •…

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Q: Use a finite approximation to estimate the area under the graph of the given function on f(x) = -1/2…

A: We need to find area under the curve.

Q: In an arithmetic sequence, the 8th term is 17 and the 17th term is -10. Show all work for each of…

A: We know that  an=a+n-1d where a= first term, d= common difference Given that 8th term is 17 and 17th…

Q: Evaluate the integral (5) ³ 23 0 15√x sin(x√x) dx

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Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 4 in ²2. The smallest…

A: let the dimensions are length = y breadth = x Given area ( A ) = 4

Q: use partial fraction decomposition to compute ∫ 1/((x-1)(x^2+1))

A: Given integral ∫1( x - 1 )( x2 + 1 )dx

Q: ΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑ 2 3 4 5 6 7 8 9 με Graph of f 2 O -2- - 15. The graph of a…

A: Solution:f is continuous and h(x) = ∫0xf(t) dt and graph of f is given aboveFrom the graph,h(6) =…

Q: Determine which of the following is the particular solution for the differential equation (D²− 2D +…

A: here given differential equation (D2-2D+4)y=16 particular solution is  P.I. =(1/(D2-2D+4))16e0x…

Q: Determine the Wronskian of the following functions: f (x)=x, f,(x)=e*, f (x)=xe* 3 00 O 2x -xe c²e²x…

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Q: Evaluate the definite integral. 1 ex Jo 1 + e²2x dx

A: To evaluate the integral.

Q: A curve with polar equation r represents a line. This line has a Cartesian equation of the form y =…

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Q: Find the angle between u = (4, -3) and v = (24, 10). Round your answer to the nearest tenth of a…

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Q: Convert the Cartesian coordinate (-1,-5) to polar coordinates, 0≤ 0 < 2π

A: Given,            The cartesian coordinate is -1,-5.To find : Convert the given cartesian coordinate…

Q: 7) f(x) = x(x + 3)²(x-7)4 Degree: End behavior: lim f(x) =_ x48 Leading coefficient: lim f(x) =_…

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Q: Determine which of the following is the particular solution for the differential equation…

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Q: (15) Determine whether each integral is convergent or divergent. Evaluate those that are convergent.…

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Q: Given vectors u = (-2, 23) and v = Provide your answer below: (-2, 26), find vector u — v.

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Q: The marginal cost for a company to produce g items is given by MC(q) = 0.005q^2 - 0.7q+ 620. The…

A: Marginal cost for a company to produce q items   MC(q) = 0.005q2 - 0.7q + 620   Company's cost =…

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

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Q: 120 2 A sides of lengths 6,10 and 7. Find the mesure of it's largest angle to the nearest degree…

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

Q: Find the equation of the straight line thru (2,-3,7) parallel to the z-axis the straight line thru…

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Q: 8 If f.° F. '8 +6³ ² f(x) dx = 31 and g(x) dx = 18, find 8 6.² [3f(x) + 5g(x)] dx.

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Q: The number of hands is

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Q: Calculate the work W against gravity required to build a right circular cone of height 2 m and base…

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Q: lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √y+3 lim (x,y)→(9,6) x-y-3 x+y+3

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Q: 3) Write and simplify an expression for the area of the figure. All angles are right angles 4√3…

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Q: Determine which of the following is the particular solution for the differential equation (D² - 3D +…

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Q: Find f"(x). 13. f(x) = x² + fr) - r³ 375

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

Q: Evaluate • fff ²² e² dV where E is enclosed by the paraboloid z = 5 + x² + y², the cylinder x² + y²…

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Q: глада- лед 6 [x3- for Draw the function

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Q: Compute (a) ₁ and (b) ₂ for the iterative process defined by n+1 = 2xn (4 — xn) with xo (a) x₁ = -…

A: Given query is to find x1 and x2 .

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: Use differentiation to find the horizontal tangent line.

Q: 3 5 4 3 2 1 -1 -2 -3 -4 -5 I V = 2 3 4 6 The graph above shows the base of an object. Compute the…

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Q: Given the graph of f(x) and the labeled areas, 12 find 7 0 f(x)dx 12 [ f(x)dx= 0 [] A=12 B=6

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Q: a) J (te¹ + t)dt. b) fw sin(2πw)dw. c) fet cos tdt.

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Q: Find the particular solution of a differential equation xdx – 4ydy = 0; y = 2 when x = 5.

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Q: The marginal cost for a company to produce q items is given by MC(Q)= 0.005q^2- 0.7q + 600. The…

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Q: Use the first Taylor polynomial for √ at z = 4 to estimate √6. Round your answer to four decimal…

A: using first taylor polynomial for function f(x)=x at x =4  then we have to estimate value of 6   now…

Q: In this question, you will use a substitution to carry out the following integration: So If the…

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Q: lim (cos(2x)) ¹/x²_ +0x

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Q: Use the graph of y=-x² + 3x + 10 to help you solve -x² + 3x + 10 ≤ 0 There is no work to be shown…

A: Consider the graph of the funtion

Q: a ladder 12.0 ft long rests against a wall. if the bottom of the ladder slides away from the wall at…

A: let wall length is  x ftlet bottom length is y ft by using paythogoras theoram  x2+y2=(12)2…

Q: 7(x-3)² = 43-(y + 1)²

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Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. Co= C1= C2= C3=…

A: The given function is; f(x)=sinx, x=pi/2

Q: Inverse laplace 7/(s^2+7s+16)

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