quadrilateral PQRS is a rhombus. P Q M S R If PQ = 3x + 7 and QR = – x + 17, what is value of x? 3 4 2.5 3.5

Q: Find and sketch the domain for the function. sin (xy) f(x,y) X* + x² + y? - 81 ... Find the domain…

A: Given

Q: Question 2 Find the differential dy: y= sin O dy E In a + sin( rVE dr Cos ( xY O (E) None of these…

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Q: Assuming that out of 200 documents, 40 documents are relevant. A search engine returns 30 documents,…

A: Number of relevant items retrieved =12Total number of relevant items = 40

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Q: Determine the exact value of 2 sincos cos 12 12

A: Given query is to find the exact value of the expression.

Q: The series 1 + vn- 1 + Vna n=1 8

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Q: 15. Determine the coordinate of point C, which lies on the y-axis, if it is equidistant from point A…

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Q: 00 4n 6(-7)"x

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Q: Using Laplace transform to solve the IVP: y" – 9y = e *, y(0) = 0, /(0) = 0 %3D we find the solution…

A: The given IVP is y''-9y =e-3t,   y(0) =0, y'(0) =0 To solve the problem we must know the following…

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A: Here the area can be found by dividing the entire part in small triangles and adding the respective…

Q: C hnd the hrst order parha derivve f(x,4,2)= W = e 32 *y-16y²23 + 43x 4.5 %3D %3D h Cs, t) = ° t*In…

A: We will find the partial derivative.

Q: For what values of x is fAx) increasing if f '(x) = 3-х (2r – 9)(x +4) %3D

A: We have to find the value of X in the function in which function is increasing.

Q: cos 0 tan 0 + sin 0 Express as a single trigonometric function of 0. cos 0

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Q: 2. If the acceleration function of a certain particle is given by a(t) the velocity function…

A: We know that if we integrate the acceleration function then we get the velocity function . we used…

Q: C Fnd the firet order parho derivohve of 4.5 f(x,y,2): W y-16y²23+ 43x hCs, t) =° t*In ts) + 9. 1. =…

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. You must show your work.…

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Q: The average amount of time that a customer waits in line for service is given by W(x, y) = y < x…

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Q: b) Find the values of a and b so that the unction f(x) = x + ax + b has a local maximum at the point…

A: Given function f(x)=x2+ax+b The local maximum at the point(7, -6) We need to find a and b

Q: here the curves intersect, draw a sketch of them.

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Q: Use the transformation u = 4x + 3y, v = x + 3y to evaluate the given integral for the 4 4 region R…

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Q: Graph y = - cos (x -) by Transformation of y = cosx. Show and label each Trigonometric function…

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Q: Let B be the sphere x2 + y? + z? = 1. The volume of the portion of B contained in the first octant…

A: Here, the sphere is x2+y2+z2=1 to find the volume formula for the spherical coordinates of it in the…

Q: dªy d³y -4. dx4 „d²y -6· dy dx3+ 7 + 2y = e-* + xe¬× dx dx2

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Q: explain

A: We will check whether fundamental theorem of calculus applies.

Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: Using integration determine the Laplace transform of f (t) where f (t) =t when 0 2 %3D

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Q: Tangent to the curve z2 = 2xy + x² , z = 3 , at the point ( 1, 4 , 3

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Q: (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the…

A: I have stated the used formulas in the solution

Q: 7. Simplify and evaluate. (2x³y²)³ a) (x’y (9y)? b) for y=-2 (3y*)

A: Given: a)2x-3y23x3y-42b)9y23y-13

Q: The radius of convergence of the power series representation of 9x f(x)= 10x+7 10 is R= Select one:…

A: Given

Q: is this a ratio test or a nth term test

A: Here, the given series is: ∑n=1∞(n+18)!18!n!18n

Q: Let f: R2 → R. At some point, a , we have that f(a) = 5 and that Vf(a) : What is the equation of the…

A: answer is in next step

Q: 2. If the acceleration function of a certain particle is given by a(t) = sech () tanh () – ei, find…

A: Given Data: a(t)=secht2tanht2-et2 Solution: Let v(t) be the velocity. We know that, dv(t)dt=at…

Q: 13. Evaluate the function. Give the exact value. cos tan (V3) cos(arctan( v3% )= 0.5

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Q: . Use L'Hospitalľ's Rule to evaluate lim t In 1+

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Q: Let p(x) be a polynomial of degree 3. Its derivatives, around the point æ = -5, are as follows:…

A: solution:-let p(x) be a polynomial of degree 3p(x)=ax3+bx2+cx+dwhere a,b,c &amp; d are parametersat…

Q: 1. Find the total differential dw. 2. w = re2u +e-V

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Q: 00 Write the Taylor series for f(x) = e* about x = Σ- 3)". 3 as n=0 Find the first five…

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Q: By considering different paths of approach, show that the function below has no limit as…

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Q: 3e" da V4-e2a

A: We have to find out the integral

Q: Evaluate the double integral over the given region. 9x sin xy dA, R: OSXST, Osy<1 R

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Q: Enclosing an Area Patricia wishes to have a rectangular garden in her backyard. She has 64 ft of…

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Q: 9. Compute the distance between the point (-2, 8, 1) and the line of intersection between the two…

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Q: You are stationary on the ground and are watching a bird fly horizontally towards you at a rate of 2…

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Q: 프-3r-dx= a) 클m3x + 21+ tanx + C b)습 미3x + 21-tan'x + C Q13:J +1)(3r+2) d)흘 I미3x + 21+ tanx + C -1…

A: The integration of the integral is  (2x2-3x) /[(x2+1)(3x+2)].

Q: Question 5 The approximate value of -31.8 using linear approximation, imaginary O (E) None of the…

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Q: 00 Σ 3k k-2

A: Integral Test : Suppose that f(x) is a continuous , positive and decreasing function on [k,∞) and…

Q: Q7: Í sin(3z)cos(4z) dz = a)cos z- cos(72) + C b) -tcus x -os(Ix) + C %3D Qe S sin'x cas d = 2).

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