COSX sin x dx 4. S 1-ఆశి అరికి న

Q: Determine the general solutions of the following differential equations. 1. (2x3 – xy? – 2y + 3)dx –…

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Q: 2. y = e*cos (2x) is a solution to y'-bytoy=0 3X

A: 2.y=e3xcos2x is a solution to y''-6y'+13y=0

Q: B.Verify if the relation 1. y =xe* is a solution to y"-2y'ty=0 3X 2. y = e?%cos (2x)is a solution to…

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Q: Find both first partial derivatives. Z = cos(4xy) %3D Oz %3D ду

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Q: QI: Find dyldx for the following functions:- (3) y = (tan x)tnz+ t (4) y = sin-(x² +x) + 5"

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Q: Given z = f(а, у), а — г(и, v), у — у(и, v), with 2(0, 2) = 1 and y(0,2) 4, calculate z,u(0, 2) in…

A: We have to find the value of zu(0,2).

Q: Find [r(t) · u(t)] and [r(t) × u(t)] in two different ways. dt dt r(t) = ti + 8t2j + t³k, _u(t) =…

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Q: A. Identify the given differential equati. as to the dependent variable, degree of the equation,…

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Q: 3. S- dx 1-sin'x

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Q: Evaluate csc2 3z dr cot 3r O 6cot 3xcsc3x + c O cot 3x + c Ocot 23xcsc3a + c cot 23x +c

A: Indefinite integration

Q: V11 T Use the information given about the angle 0, sin 0 = 4. <0<n, to find the exact values of the…

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Q: x + 2y = 1 , x – 2y = 8 . Credit will be given for use of the method, and not for the so y =-7/4.

A: We will solve using cramers rule.

Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arcos…

A: Givencos-1cos-3π2We know…

Q: proportional

A: We will solve the problem.

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: We want to find the absolute extremum of the given function on the interval [-2,2]

Q: 5sin e Cose de Sin? o +3 Sine -4 2.

A: Solve the following

Q: 1. 5x²+4x2-5 dx

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Q: S 2y(yª – 4)¯³ dy

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Q: 4. The voltage signal from a standard wall socket can be described by the equation V (t) = 325…

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Q: QI: Find dyldx for the following functions:- (3) y = (tan x)tnz+ t (4) y = sin-(x² +x) + 5" %3D

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Q: Find the average value of the function over the given Interval and all values of x In the Interval…

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Q: Find the average value of the function over the given Interval. (Round your answer to three decimal…

A: Find the average value of the function over the given interval.       f(x)=sin x  ,    0,π Find all…

Q: 2x³+2x+7x²+9 2x+3 6- 2.

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Q: 1. 2x2 + 4x + y = 0,y = 2x %D %3D

A: Given :

Q: X+3 Q4) Find the integration by using: dx 2x3-8X

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f() = 2x + 3 between x =…

A: Our Aim is to find the "area under curve"of f(x)=2x+3 between x=11 and x=13using the Fundamental…

Q: J4-yズ ニo dy

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Q: mental Theorem of Calculus to fin

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Q: Evaluate the definite integral by the limit definition. Step 1 To find the definite integral 9 dy by…

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Q: - cos (3.xz) = 5 defines z as a function of x and y. Differentiate implicitly to Assuming y az find…

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Q: 2x 3x Evaluate the given limit of lim + if it exists. I – 1 I +1

A: Follow the procedure given below.

Q: Suppose that f(z, y) = z*y°. The directional derivative of f(1, y) in the directional ( – 1, – 2)…

A: We can solve this as follows:

Q: Find div F and curl F if F(x, y, z) = 16y°z³i – 9x°z°j – 7xy'k. - - div F= curl F=

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Q: Edit Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places…

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Q: Evaluate the line integral, where C is the given curve. | xyz? ds, C is the line segment from (-2,…

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Q: xdx sinh? (2x²)

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Q: Use the properties of summation and 5/ Step 1 To evaluate the sum Si, the following property of…

A: Please see the below picture for solution.

Q: dy tay +x?

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Q: Evaluate the double integral SR Sf(r, 0) dA, and sketch the region 5. S V9 – r² dr d0

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: To find the domain for given vectorr(t)=cosπti-lntj+t-2kand also to find rt0, t0=3

Q: If z = 52? – 3y? + 4y, find the differential dz. You should have variables dz, dy, y, and z in your…

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Q: dz Find given: dt z = ze", z = t°, y = 1+ 4t dz dt Your answer should only involve the variable t

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Q: Suppose that w = f(r, s, t), where r = r(x, y), s = s(r, y), and t = t(x, y). Which of the following…

A: Solution is given below:

Q: x2 + 2x – 1 1 True or False: lim x – 9 4 O True False

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Q: х- у 3. f(x, y, z) = y? + а. f(3, —1, 2) b. d. f(2, 2, 100) с.

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Q: Find the point where the tangent line to y = 5x at x = 0.5 crosses the x-axis.

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Q: dx ²+8x-9

A: Given: ∫dxx2+8x−9 Let I = ∫dxx2+8x−9 ⇒I = ∫dxx2+9x-x−9

Q: Find the conservative vector field for the potential function by finding its gradient. g(r, y, :) +

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Q: 13 1 dx 13 – x

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Q: Consider the initial-value problem y" + 4y = 5 sin 3t, y(0) = 0, y' (0) = 3. %3D (a) Use the Laplace…

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