16. J x² 4 + x² dx

Q: What type of limacon is the graph of the polar equation given by r = √3+ cos 0? O Limacon with a…

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Q: provided. f6x³(2x5 + 2)dx

A: We expert are following guidelines we are supposed to do the first question. Please put another…

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Q: Find the derivative of the function at Po in the direction of u. x-y g(x,y)= xy+2 Po(1,-1), u=12i+5j…

A: Given :g(x,y)=x-yxy+2u=12i+5j

Q: 2) x² + y² - 16x + 18y +96= 0

A: Here we havw to convert standard form,  2) x2+y2-16x+18y+96=0

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Q: f(t)=sin(-t)- f(t)=1-cos(wt). soo.(10){SI=(1)f

A: We have to find Laplace Transform of given function.

Q: 8² 8²v 8² = (x² + y² +2²) −¹, then + + is 822 მ2 If v=

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Q: 3. An architect is asked to design a game room in the shape of an isosceles trapezoid, where the non…

A: I am attaching image so that you understand each and every step.

Q: The power series representation of f(x) = n(x²-1) is given by ΑΣ (-1) -1. I =1<x<l #ΞΙ 8+1 B. None…

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Q: 11. A dangerous toxic pollutant has been accidentally spilled in a lake. t The speed of water…

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Q: For the given cost function C(z) = 250√ + find 8000 a) The Justion loval 1000 TUNING b) T. duction…

A: For the given cost function Cx=250x+x28000, to find d The production level that will minimize the…

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion= = ["5(x) f(x) dx + dx +…

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Q: y= In x

A: Given function is y=x/ln(x)

Q: Evaluate (²6² 0 Oa. 16 946 O b. 16 936 O c. 8 945 O d. None of the choices. O e. 16 945 1 1-y - xy…

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Q: For a cyclic group of order 420, the number of generators are, (a) 66 (b) 76 (c) 86 (d) 96

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Q: Evaluate S dx √x² +25

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Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Given problem:- Find the general solution of non-homogenous differential equation using Variation of…

Q: Question 12 : A spherical snowball is melting in such a way that its diameter is decreasing at rate…

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Q: 10) x² + y² - 28x - 6y + 189 = 0 12) x² + y² - 32x+22y+376 = 0 2 14) x² + y² - 4x + 24y + 144 = 0…

A: Standard form of a circle is x-h2+y-k2 =r2,    where h, k  is the center of the circle and r is the…

Q: me rose r = 4 cos 30 has 1 petal cannot be determined 6 petals 3 petals

A: Topic:- application of functions

Q: the function z(x, y) = ex sin(3y) and x = ut-t², y = √u² + t², ind: dz dz and 2- (by chain rule) ди…

A: differentiation

Q: The graph of r cos 0 + 4 = 0 is symmetric with respect to the no symmetry Oy-axis x-axis O origin

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Q: 2. Solve for the volume of solid of revolution formed by rotating the area bounded by y = x² + 2, x…

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Q: (x) = x² tan 3x+cot 3x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 1) Consider the spherical equation given by p = 4 cos 0 sin p. Determine its corresponding equation…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 4. Consider the solid formed by the boundaries outside the elliptic paraboloid x² + y² = z and…

A: Given

Q: Verify that 5 18 11 2²4 ахду 22+ дуох - for f(x, y) = 2x³y6 - 4x5y4.

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Q: The radius of convergence of the series Place) (-1)" (n!) 0 3-6-9. (3n) -(2x-1)" is equal to ....…

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Q: INSTRUCTION: Please box your final answer. Find the Laplace transform of the following: 1. y" + 2y'…

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Q: 7.) (2x-y)y=4x-2y-5

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

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Q: A piece of 1m wire is cut into two parts, one bent into the shape of a circle and the other into the…

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Q: Sketch out the graph of ? = ?^2 + sqrt of ? + 1, and find its extrema, concavity, and points of…

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Q: f(x) = 4x² 8x +3 - x²+x-12

A: The given function is f(x)=4x2-8x+3x2+x-12

Q: The graph of r = -2+3 cos is symmetric with respect to the O x-axis and origin origin only

A: given r=-2+3cos∅   it is the equation of limacon.

Q: If x = t² and y = t³, then O O 0 03/1 3/41 Other: =?

A: Given a equation of a function in parametric form.

Q: Suppose that the payment services company PayBuddy makes R (t) = 900t² + 300 dollars per second when…

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Q: sin (x) dx (2+3 cus(x))² 3(2+3 cos(x)) с

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Q: Hnew ³ Let w=f(u) + 9 (v); where u = x+iy and V=X-iy, show that w satisfies the Laplace eap. Wxx +…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min.…

A: V=4πr3/3 dr/dt = 0.1 cm/min dV/dt =?   dV/dt = 4πr2(dr/dt)   dV/dt = 4(3.14)(9)2(0.1) dV/dt = 101.73…

Q: Let R be the region bounded by the functions f(x) = -4x² - x and g(x) = -5x as shown in the diagram…

A: This question can be solved using the concept of area bounded by two curves.

Q: 9. f(x) = (2x5-2x+2)/(x²-3)5

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Q: A B 25/sin² 5 (sec 0 - cos 0) d )* Which of the following is equal to S; x² +25 dx ?

A: The given integral is x2/sqrt(x2+25).

Q: Q1/ From the following table of values, find the approximate value of f'(1.5)

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Q: Find the value of x If f'(3) = 52? X 1 2 4 f(x) -2 8 x

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Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 2. 4.…

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Q: 3. f(x) = 3x-7

A: Topic:- derivatives Note :- as per our guideline if more than one question uploaded than only first…

Q: What are the corresponding polar coordinates for the Cartesian point (-4,-4√3)? (-8,5T) 8, O Option…

A: This question is based on conversion from Cartesian to polar coordinates.

Q: Sketch the region enclosed by the following curve and find its area. x=y¹, y = √2-x, y=0

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