y5 + 2y = x² a. b. 5x – 4y? = + 9x?

Q: The integral of the given function S dx is equal to 4+x2 a. 0.116 b. 0.611 c. 0.117 d. 0.161 e. None…

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Q: Solve [æ – y cot ( ) dæ + x cot () dy = 0 ; y (5) = 1

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Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

A: Given : f(x,y,z)=9x2y+5z2   To Find : Conservative Vector field by finding it's gradient

Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

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Q: dy = f(x, y) = x' + y', y(1) = 5 %3D dx 39- find y(3) value by euler method, take step size; h= 1.…

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Q: IV. Suppose z is a function of r and y, and tan Vy² + x² 2e&y¸ Solve for az az and dy

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Р5: V4 – 9x²dx (4 — 9х2

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Q: Q3: Find gradient of the following function at given point 1) f(x, y) = y –x, (2,1) 2) g(x, y) = y –…

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Q: d d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly…

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Q: An open box is made from an 8 inch x 8 inch piece of cardboard by cutting equal squares from each…

A: Volume of the box

Q: Which of the following equations is a homogenous DE? O (xy? + x)dx + (x²y- y)dy=D0 O (x- y)dx+ (3x+…

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Q: Select the correct answer. For which pair of matrices is s A B#BA, OA. A=[}2] B = A = 2 B= A = 2 B=…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: 5. If f(x)= 5x² + 2x+1 is an invertible function, find the slope of the tangent line to f^(x) at the…

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Q: Find the limit as x approaches c of the average rate of change of the following function from c to…

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Q: Given: a= 22, c=24.1, zB = 67 C A Solve the triangle. (Do not round until the final answer. Round…

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Q: Determine s) for $) = 31 + 212 1 s'() = 41 + 3 Os') = 41 + O s'() = 41 - %3D s'(t) = t+4t %3D

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Q: Find the 5th order Taylor polynomial about a = r for sin x.

A: To find Taylor polynomial for given function

Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t?k, u(t) = 5ti + t?j…

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Q: convergent or divergent. Please provide detailed solution. a) : E 10" n=1 (n + 1) 52n + 1 00 -5n 2n…

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Q: EXERCISES Solve the following differential cquations 9. y(x*y + e*)dx e*dy = 0 x ex Ans. =C

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Q: Given: R. 23 30° A R= 04 v3 02 v3 B.

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Q: Exercise 2. Find the following limits 3x +1 1-3x² 3x +1 1) lim to 2x + 5 2) lim X+ 2x +5 3) lim x-…

A: Use limit concept

Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: Given problem:- Find the angle of the largest right circular cone which can be inscribed in a sphere…

Q: 3. Which of the following integrals requires integration by parts? A. S csc°0 de B. S cot*0 csc*0 do…

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Q: log x y = dy dx 5+5ln5logx x² In5 dy 5-5ln5log x dx x² In5 Option 4 Op tion 3 dy _ 5-5ln5logx x² In5…

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Q: f(x)=/1+2sin x j. f(x)=e" +4* +sinh(10x)

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Q: 3. Sx³V4 + x² dx

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Q: Find the general solution of the given ODE * (y² – y) dx + x dy = 0. - y=c 5 +4x + k Option 1 Option…

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Q: 3. T The point 2, 3 is given in spherical 4 coordinates. Its rectangular coordinates are: 3 /6 2 2 2…

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Q: 1. 2 Vĩ-

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6. sech(4x) tan (4x) dx

A: We need to evaluate integral.

Q: Find the area of the shaded region. y = x² + 1 ... 5 y = x -1 2.

A: In given problem we find the area by using the Definite Integration .

Q: Write z1 and 22 in polar form. 21 = -36, z2 = V3 +i Z1 Z2 Find the product z1z2 and the quotients 2…

A: Let's find.

Q: Solve using product rule d(uv) = u dv + v du: f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

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Q: Find the work done by the force field F(x, y, z) = xyi+ yzj+xzk or a particle that moves along the…

A: Given: Fx,y,z=xyi+yzj+xzkr(t)=ti+t2j+t3k

Q: Perform the following operations and express the results in rectangular form: a. (8.21+j4.31) –…

A: Rectangular form

Q: 9 5+ 8 g(x) 7- 4- h(x) 3- 5- 4- 2- 2- 1 1 2 3 X-values 3 X-values 1 g(x) , then h(x) If f(x) f'(3) =…

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Q: 1. Find r(9/2)=? 2. В (3, 2) %3D?

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Q: If f(x) = sin (a*), find f (x) Find f'(5)

A: Given function is f(x) = sinx3 we have to find the first derivative of f(x) that is f'(x).

Q: 12. y" +y = séc' x tan x.

A: Let's find.

Q: y cos x+sin y+y 0. Solve the following dx sin x+x cos y+x differntail equation 1.

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Q: re' dy + +1 dr =0 O (y – 1) e + + In z = C 2. O-(y+1) e + Ine =C 2 O (1- y) e + 1. O 2y - e + +In=C

A: To solve given differential equation

Q: y = xx, x 4, and y = 0 Revolve the area of the shaded region about the x-axis. Using circular disk…

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Q: 1 Integrate

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Q: Find T(v) by using the standard matrix and the matrix relative to B and B'. T: R2 → R2, T(x, y) =…

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Q: Find Laplace Transform for 1- f(t) =te"; 2 - 3 – f(t) = e" sin 3t ; 4 | 5- f(t) = (2t+ 3e" +4sin 31…

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Q: Ql: If f(s,t) = s²t+ In(t² – s) find the value of a) atas Q2: For the following function prove that…

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Q: For items 5-10. Solve inequality for y. 5. 84x+7y2 70

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