H.W Find the maclaurin series of the following functions:- 1 2- 3- sin (3x) 1+x 4-7 cos(-x)

Q: For each of the following ,find fx fy fxx fyy fxx and fxy 1.f(x, y) = x cos+ ye*. 2.f(x,y) = y²x¹ey.…

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Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: Consider the differential equation y" - y' + 3y = f(t), such that y(0)=0 and y' (0) = -9 f(t) is…

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Q: Find the solution of the given initial value problem. 8 y' - 7 y = cos t t-8 Y(T) = 0, t> 0 t y(t) =

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Q: 1) Find the absolute maximum and minimum for function f(x,y)=x²-xy+y²-6y-4, on the domain -4≤x≤2,…

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Q: from the date set, find the value of f(7) by use lagrang method X 3 6 9 11 y 12 13 14 16

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Q: Q4: A) For each of the following ,find fx fy fax fy fyx and fry 2.f(x,y) = sin²(x-3y) 3.f(x,y)=√√(x…

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Q: X 4. f* - 2x² - 6x +1 2 x² - 2x-8 dx

A: We have to find the integral.

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: 4 Verify that the Mean Value Theorem can be applied to the function f(x) = x 5 on the interval [0,…

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Q: Stan77x dx

A: tan2x=sec2x-1

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

A: Above question is solved.

Q: Hand written plz A 39 year old person has $1,000,000. With this money as a single net premium, he…

A: This is a problem related to insurance calculation. Based on the policy of the insurance and concept…

Q: 5. In a room with 10 people, everyone shakes hands with everybody else exactly once. How many…

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Q: the normal line of the surface [z = (4x^2 + y^2] at the point (1,1,5) O 8x-2y+z=5 O 8x+2y+z=5…

A: We have to find the normal line of the surface.

Q: Solve the given differential equation. All solutions should be found. (5y¹ + 2x³y) dx − (4xy³ + x¹)…

A: Simplifying (5y4 + 2x3y) * dx + -1(4xy3 + x4) * dy = 0 Reorder the terms: (2x3y + 5y4) * dx +…

Q: 3. √ √1 + x² dx

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Q: Let f(x)=x²+2x if x<5 - Cx if x 25. For what value of the constant c is the function f continuous on…

A: We have to calculate the value of c

Q: 6 By separation of variables, Solve the following 5 PDES :- учи ● 224 dx² 2 dt² 0 o u(e,t) = u(5,t)…

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Q: Use the Ratio Test to determine whether the series convergent or divergent. 00 n=1

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Q: 5. csc 6x dx

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

Q: Q5/ Solve for x the following inequality and show their solution set (x: x2-x-300)

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Q: Given a second order differential equation dx 3t 2x = e³t dt where t = 0, x = -5. Using Laplace…

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Q: 7) y = exz 8) y = 3 x ²

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Q: 4) A projectile travels at a velocity of v(t) = 45-32t, where v(t) is measured in feet per second.…

A: According to our answering guidelines we can answer one question at a time, therefor I am answering…

Q: Evaluate the double integral that will find the volume of a solid inside the paraboloid z = 1 - y² -…

A: Given function z=1-y²/4 -x² And xy plane  Volume V=∬zdydxV=∬1-14y2-x2dydxGIven z=1-1/4y2-x2 and…

Q: b. 5x-2≤2 X+2 Jawab: Tentukan penyele berikut! a. √6x +1>5

A: 5x-2x+2≤ 2

Q: 2. Evaluate the Integrals using the Fundamental Theorem of Calculus. 1. S/4 cos x dx π/4 2. ¹₁ sec²…

A: First I have written the Fundamental theorem of Calculus, using it for given integral and find its…

Q: 2. Two research assistants, Adi and Bea, review some data from an experiment. The number of pollu-…

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Q: 2. Solve for x. 45x-x² = 4-6 a. b. (1 − x)5 = (2x − 1)5 - 60 c. 55 = 1+5e-0.6x d. 3 log x + 10 =…

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Q: 1) Find the absolute maximum and minimum for function f(x,y)=x²-xy+y²-6y-4, on the domain -4≤x≤2,…

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Q: A rectangular classroom has length that is 1 meter more than 2 times the width. Find the dimensions…

A: Given  Perimeter  of rectangle = 32m Now, let the length be 'L' and the width be 'W'. According to…

Q: Q6. Let w = f(r,0), r = √x' + y³, 0 = tan'(y/x), ), find aw ?х > and ди ду in terms of r and 0.

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Q: A В D ľ КIN 5л 2 (2 — 4sin(0) + 2 sin²(0)) d0 (2 - 4 sin(0) + 2 sin²(0)) d0 (1 — 2 sin(0) + sin²(0))…

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Q: [x²√1-x² dx

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Q: 2cos^2(?) sin3? dx

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Q: Gradient 3. Find the gradient of the following scalar functions. (d) p(x, y, z) = - √x + y² + 2 of…

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Q: Use Chain rule find the derivative w= 4x^2 +3y^2 with respect to t along the path x=sint and y= cost…

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

Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer (1) p²x+q²y=z z =…

A: Application of integration

Q: Q4: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4…

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Q: Q2) Show that these statements constitute a valid argument, use Truth Tree: a) ~(pVg) = ^p^^q b)…

A: This is a problem related to mathematical logic parts. Based on the general formula and concept we…

Q: Find the area of the region enclosed by the curves y = x³ and y = 4x. 24 8 16

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Q: dy a. Use implicit differentiation to find dx b. Find the slope of the curve at the given point.…

A: Use derivative of square root of function.

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) =…

A: Solution: The objective is to find the derivative of the given function

Q: Find the equation of the tangent plane to the surface defined by the function f(x, y) = x³ =…

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Q: [*[f(x) + g(x)] a 6 -5 f -2 Y = 7 -3 7 x -6 9 -2 Y 10 5 3 5 2 x

A: We have to find the value of given integration.

Q: Find the general solutions for these differential equations: a. 2y²dx + (x²y - 2xy)dy = 0 b. y' =…

A: Use differential equation concept

Q: àtics II, e the caraid Q3) By using the polar find region enclosed by y = x² and y = 1 Find the

A: Let's find region enclosed by curve and given line.

Q: H.W find the first four terms of the binomial series for the functions:- 1-(1-x)-¹/2 2-(1+)-²…

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Q: Evaluate the given function by using three terms of the appropriate Taylor series. 4.3 √4.3 = (Round…

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