Determine whether the correspondence is a function. Domain Range 1 22 20 7 7 6 Is this correspondence a function? O No O Yes

Q: Solve of the following deferential equations r sin 0d0 + (r.³ – 2p2 cos+cos) dr os 0) dr = = 0

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Q: Find Maclaurin series for the following functions Ans. Σ 2) 5 sin(-x) Ans. (-5x)" n! 5(-1)"(-x)2+1…

A: The given function is 5sin(-x). Repost the next question.

Q: Part II: Point Conversions 1. Convert (2,7) into a rectangular coordinate. 2. Convert (4,-4) into a…

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

Q: Choose the correct answer for Wronskian, W for the following differential equation, y"-y=9e*…

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Q: 8. y = log x-1 x+1

A: Let's find second derivative of given function.

Q: Use Lagrange multipliers to find a relative minimum function value of f if f(x,y,z)= x² + y²+ z²…

A: Here, the given function is: f(x,y,z)=x2+y2+z2 with the two constraints…

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

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Q: Use of an Auxiliary Variable Solve the equation. The sum of two positive numbers is 2. Find the…

A: see below the calculation

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: 1. Consider a point in Cartesian coordinates given by (3√//3, -3,-8). (a) Find a corresponding…

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Q: of f(x) = ln(x²− 1) is given by 1. <I. list. <x<1.

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Q: Assuming 4 cos(yz) + 3²x² = y² defines z as a function of x дz and y. Determine ду '

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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: Compute the partial derivative of the function * f(x, y, z)= el-roos(y) +2e=1/(1+²)

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Q: H.W (3) 1-f(t)=te"; 2-f(t)=3+t² + cos2t. 4-f(t)=e¹.t³. 3-f(t)=e" sin 3t; 5-f(t) = (2t+3e²¹ +4sin…

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Q: What equation is equivalent to * x² + y² - 8x + 2y = 8? (x-4)² + (y- 1)² = 25 (x - 1)² + (y-4)² = 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: What is r 1- O Option 1 2 2 sin 0-3 cos 0 3 y = ² x + 1 2 x² + y² = 2y²-3x Option 3 in Cartesian…

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

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Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

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Q: 6. In(x³y²) = x² +y³

A: Let's find second derivative of given function.

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

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Q: Find the volume of the indicated solid i) under 2x − 3y + z = 6 and above the rectangle R = {(x,…

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

A: Topic:- application of functions

Q: The solution of the equation below can be represented as y(x) = yn (x) + yp(x). y" + 3y' - 4y = 3x +…

A: To find the corresponding particular solution of the given differential equation.

Q: Where is f(a) not continuous? JAROMEN M 0 :-2 SE 4 O 0 02 O nowhere O-2 and 2 O-2 0 2

A: here in graph we see that function is not contineous at 2 and -2 value there is not contineous graph…

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

A: The region is bounded by y=x3, y=2x+4 and y=-1. Then Arearegion=∫abfx dx+∫bcgx, where a&lt;b&lt;c.To…

Q: -1/2 Find the gradient of f(x,y,z) = (x² + y² +2²) −1/² + In (xyz) at the point (1,2,2). Vfl…

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Q: Find Laplace Transform for 1-f(t) = 2t³; 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 3– f(t)=sinh(2t); 5-cosh…

A: We have to solve given Questions.

Q: Please answer

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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: 9 Calculate the expression. Show the solutions. Use the calculator for checking only. 【(XY)¹ - Z)¹…

A: Topic:- matrix algebra

Q: f(x) = 4x² 8x +3 - x²+x-12

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

Q: 2.) (2x + 3y - 1)dx- 4(x + 1)dy = 0

A: We have to solve given differential equation.

Q: Put the given function into vertex form. Fill in the blanks to complete the function below.…

A: The vertex form of a quadratic equation is y = a(x-h)2 +k

Q: Equation Conversion from Polar to Rectangular Coordinates r² = x² + y² r cos 0 = x r sin 0 = y |× y…

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Q: Find the particular solution of y''-5y'=x-2 when x=0, y=0, y'=2

A: Given that that a non homogeneous differential equation and we find its solution.   Here i attached…

Q: 1. The integral can be rewritten as биз S= du u + 1 6u² S₁ -du u²+ 1 6u5 S; u³+1 f247du B. C. D. -du…

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Q: Which of the following integrals represents the area inside the curve r = 3 + 2 cos 0 and outside…

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Q: HA-[-2]. If = O A-¹ O A-¹ = O A-¹ = O A-¹, 24 = find A-¹. 3 = 6 -4] [4-2] 6 -5]

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Q: SHE 1+ (In x)' = dx = (sec x) = f sin x dx = [cos.x dx = (arctan x)': = [f(x) g(x)] = ==dx =

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Q: II. Let F(x)= ecosh z √x+1 1. Find F(0). 2. Find F'(x). sin(1-t) dt.

A: Let Fx=∫x+1cosh x sin1-t dt.1 To find F0.2 To find F'x.

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: What is the equation of a line with a slope of 5 and passing through the intersection of the lines…

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Q: se Green's Theorem to evaluate SC (5y-9x)dy-(yx-x³)dx where C is shown below

A: Follow the procedure given below.

Q: Find the following improper integrals a) dr b) fodr

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Q: Use Lagrange multipliers to find a relative minimum function value of fif f(x,y,z)= x² + y²+ z² with…

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Q: 15. Iv X V9 – x2 - dx

A: We want to integrate the given function.

Q: Which of the following is true? * 3 f ƒ (x, y) = x³ – 2xy + 3y² f = -2x+6y + 3xy²; fy=3a²-2y+z³…

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Q: 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 6-f(t)=cos't-

A: Answer highlighted 3 questions(2,4,6)