=/3 %3D 2

Q: Determine whether the given differential equation is exact or non-exact. Then, solve for the solutio...

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Q: What is the general solution of the differential equation: yiv - 4y''' - 49y'' + 76y' + 480y = 0 G...

A: Let's find. 

Q: Q4 Define algebraic and geometric multiplicity. Show that algebraic multiplicity of the eigenvalue i...

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Q: A solution to the trigonometric equation cos z = - is. | Let f(z) = r² and g(z) = 2". A solution to ...

A: Given that:                        1. cosx=-122. f(x)=x2 and g(x)=2x3. x+3x-2     NOTE: As per our a...

Q: 1. Evaluate the limits. Be sure to show all of your work. (a) lim 2.

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

Q: Find the inverse of the given matrix using Gauss-Jordan elimination: Q4 [1 0 -1] 2 1 - 2 3 0 -5

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Q: The figure below shows f(x) and its local linearization at x = a, y = 3x – 4. (The local linearizati...

A: topic - linearization of a function

Q: dy 1y Find the logistic differential equation dy y --ky y 1-. dx

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Q: The velocity of an object v, in meters per second, is measured every 15 seconds. | (seconds) 0 15 30...

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Q: Find the circumference of the circle r = 4sine.

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Q: dy (ycosx + 2xe") + (sinx + x²ev – 1) = 0 - dx

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Q: dz and du dz Use an appropriate form of the chain rule to find dv ; x = 16 cos u, y = 3 sin v Enter ...

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Q: of the function. + 3y + 11

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Q: Set-up the integral that represents V(S) when the region R in item 5. is revolved about y = -1. Ris ...

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Q: Find ôw/ds and aw/at using the appropriate Chain Rule. Function Values w = y3 - 10x?y x = e°, y = e ...

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Q: Question No. 1: In R,R² and R°;(whenever possible) graph: (i) X = - 3 (ii) x = -4 (iii) x =5 (iv) x ...

A: Draw the following equation on the graph by simply plotting the points.

Q: Find the value of k such that the area of the region under the curve y = x(k – x), (0 < x < k), is 1...

A: Given: To find the value of k such that the area of the region under the curve y=x(k-x), (0≤x≤k) is ...

Q: Given that P(115) = 30 and P'(115) = 18, approximate P(108). %3D P(108) -

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Q: In each of the following, find the area A(R) of the region R described below. O R is the region boun...

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Q: 15. y dx - 4(x + y°) dy = 0

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Q: dw where w = cos 8x sin 4y, x = dt and y =t". 4 Use the Chain Rule to find

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Q: 9. Given f(x, y) = x?y – 3y*. Find fx, fxx, fy and fyy

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Q: 10 | (1-e-t/4) dt 0,

A: Given integral, ∫0101-e-t4 dt

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an a...

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Q: Find the derivative of y with respect to v. y=v1-v2 +5 cos - 1, y = dy dv II

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Q: A solution to the trigonometric equation cos I = - is. Let f(z) = r and g(r) = 2". A solution to (f ...

A: Solve by using rational root theorem

Q: Use Ar = 0.5 and a left-hand sum to estimate xe dx.

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Q: The top and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of p...

A: Given- The top and bottom margins of a poster are each 6 cm and the side margins are each 8 cm and t...

Q: Express the derivative in “subscript" notation. NOTE: Your answer should take the form fg.

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Q: III. Transform the equation of the parabola to the standard vertex form by completing the square. 16...

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Q: Find the area of the given region. 5 y = 16 + x2 y 0.5 0.4 0.2 0.1 -1 1 4 -0.1 4 2.

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Q: 1. 4x³ – 10x² + x®dx x3 – 5x2 – 2 - 2. x3

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Q: In the graph given below, at the point C, the nature of gradient (dy/dx) is O a. zero O b. saddle po...

A: Question is solved.

Q: Given the function graphed below, evaluate the definite integrals. 4- 2- -1 2 4 5 6 -2- -3 -4+ of f(...

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Q: b) Find the general solution of the following homogeneous differential equation. dx х - + tan– y = -...

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin4 30 de

A: Given: To evaluate the indefinite integral: ∫sin4 3θ dθ Formula: ∫sinn x dx=n-1n ∫sinn-2 x dx - cos ...

Q: egion R at the indicated axis. O R is the region bounded by x = y² + 1 and x = 9 – y² and the axis o...

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Q: Find the length of arc of the curve 6xy = x* + 3, from the point where x = 1 to the point where x = ...

A: Since you have asked multiple question, we will solve the first question for you. If youwant any spe...

Q: tan u du = In | sec u| + C

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Q: Example Let A= B = 1. proof |A x B| = |A| × |B| %3D

A: Solve individually left hand side and right hand side expression to prove the given expression. 

Q: 1/4 (sin x + sin x cos x) dx 0.

A: given

Q: Complete the squares and locate all absolute maxima and minima, if any, by inspection. Then check yo...

A: To find the absolute maximum , minimum or saddle point of the given function.  f(x,y) = 58 - 6x + x2...

Q: Consider the function Alt) = -2t + 10. Calculate At)dt by using 5.1 a graph and areas 5.2 a definite...

A: From the given function: ft=-2t+10 As we know that: The standard equation of the line slope-intercep...

Q: An object is moving along x-axis. Its position relative to the origin at any time t is given by s(t)...

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Q: Find f, and f, and evaluate each at the given point f(x, Y) = arctan(), (4, -4) (2), (4, -4) f,(x, y...

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Q: ind both first partial derivatives. z = 20y2/x

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Q: dy +3y = 3x²e-3x dx

A: It ia Linear differential equation.

Q: Find F, and f, and evaluate each at the given point. fx, y, z) - xy + 2xyz - Syz, (-2, 1, 2) ,G Y. 2...

A: topic - partial differentiation

Q: x-10y° ) +y dx

A: We are asked to solve the differential equation.

Q: Let y = v6 – x. %3D Find the differential dy when x = 1 and dx 0.1 Find the differential dy when x =...

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