Q3: a) Evaluate the following integrals: 1. f sin2x 1+ cos²x dx. √9-x2 2. fv-x² dx 3.f 1+x dx

Q: (c) Consider the following integral I =ff (x + xy - xy — x² − y²) dA, - - D where D is a rectangle…

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Q: Q5A) Find volume of body from above Z = √√4-x² - y2 and below Z = 1 using Triple integration.

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Q: A region bounded by f(y) = √√y + 1, y = 1, y = 4, and x = 0 is shown below. Find the volume of the…

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Q: d) the transpose of x. 2- If x= [2 8 5; 9 7 1], b=[2 4 5] find: a) find the maximum and minimum of…

A: Given:x=285971 and b=245To find:a) The maximum and minimum of x.b) add the vector b as a third row…

Q: 16 What is the degree of vertex 3? 01 ez e₁ V₂ V2 ez VA

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Q: B)Is w = Zez analytical function or not?

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Q: If the Composite Trapezoidal rule with n = 2

A: Given that                               f(0.25)=f(0.75)=β if the composite trapezoidal rule with n…

Q: Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient…

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Q: 4 5 7 31 9 12 -1 2 1-4 73-9 ܚ ܝ 4 -2 5 ܝ

A: Follow the steps.

Q: Solve the initial value problem y" - 5y' - 14y = 0, y(0) = a, y'(0) = 6. Find a so that the solution…

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Q: Suppose that f: R2 → R is a function given by y³ x² + y² f(x, y) {+ for x = y = 0. Show that f(x, y)…

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Q: S Js V is the volume enclosed x (axr)ds = 2aV, where a by the closed surface S.

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Q: dy -(x²+y) dx x+siny B)Solve differential equation =

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Q: Determine the equation of the plane that passes through (2,-4,1) and is perpendicular to the line of…

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Q: We know the following data for Albert's fabricating production area: Number of machines = 7 Number…

A: Follow the steps.

Q: The following diagram shows the parallelogram ABCD. B A D Let AB =p and AC=q. Find each of the…

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Q: nput x (t) = e-3tu (t). d²y(t) dt² + 6 dut) + 5y (t) = da(t) dt

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Q: Concept Check: Evaluate the following integrals: 1. f(x¹ - 5x³ + 6) dx 2. Sv (1-1/v²) dv 3.…

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Q: (cos) dydx 2π Option 1 Option 3 TE Option 2 Option 4 1 T 2

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Q: x1 ≤ 2x2 x2 ≤ 2x1  x1 ≤ 60 x1 ≥ 0 , x2 ≥ 0 From the information above, a. graph the points and name…

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Q: Q5A) Find volume of body from above Z = √√4x² - y² and below Z = Triple integration. 1 using

A: We have to find the volume of the body above z=4-x2-y2 and below z=1 using triple integration

Q: MAR P # Video Example) EXAMPLE 8 Find the volume of a pyramid whose base is a square with side L and…

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Q: simplification is to isolate terms and identify the dominant term. For instance, we might want to…

A: fx(n) =log2log2n+3for n→∞log2n+3 =log2n

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

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Q: A 5000 m² rectangular area of a field is to be enclosed by a fence, wi inner fence build across the…

A: Introduction: The formula for the area of a rectangle with length l and width y is given by, area=xy…

Q: .a. Is the set of vectors W = {(x,y,z) x,y,z € R,x=z+2} subspace of R³?

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Q: In which form should we look for the particular solution of: Y” + y = x3cos(x)

A: Let y=yc+yp be the general solution, where yc is complementary function and yp is particular…

Q: Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(−1, −2, −3) &…

A: Introduction: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 1. 0+3×3-3² + 10

A: Explanation of the answer is as follows

Q: Neme Find the area (in sq.units) of each figure K

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Q3A) Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: The given problem is to find the normal line and parallel plane equation for the given function at…

Q: solve partial differential equation r-4s+4t=0

A: Given PDE is r-4s+4t = 0

Q: 18. Create the equation of a function whose rate of change is always negative, but is increasing as…

A: Rate of change i.e. derivative is negative.  A function with neg. Derivative is a decreasing…

Q: The following linear equations write the system of equations in the from AX= B 5X-34:2 4x + y = -10…

A: The system of equations can be represented in the form of AX=B. Here, A is the coefficient matrix, X…

Q: Find the general solutions of the system. 110 3 0 1 1 0 001 1 000 1 (t) = [ X

A: We solve by eigenvalues and eigenvector method.

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

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Q: 4. The height of a sunflower was recorded every seven days as it grew. Day 7 14 21 28 35 42 Height…

A: Here we find the exponential regression equation for the given data using normal equations. And then…

Q: 4. Prove that (a + b) ≤a+b≤ a + b for any real numbers a and b. (Hint: Use cases when a, b ≥ 0; a, b…

A: 4. To show: -a+b≤a+b≤a+b Please post the multiple question separately.Here i answered 1st question…

Q: B)Convert r = √2 cos(0-) to cartesian.

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Q: (b) The flow of traffic through a network of telephone towers is shown in the following figure: 30…

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Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

A: here we can use all the conditions of max , min and inflection.

Q: Consider the taylor expansion of f(xo-Ax) in the neighborhood of Xo, the coefficient of Əx is

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Q: (ANB)NC D-E (AUB)' or (AUB)^c CXD (A-C)ND

A: Given: The universal set is the set of integers from -15 to 10. 1. Set A is the set of nonnegative…

Q: 2. Solve the outgoing signal problem Utt- c²uxx=0, x > 0, -∞ <t<∞o; ux(0,t) = s(t), -∞ <t<∞, where…

A: From the given details above we have,

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

A: In this question, the drawing completed by the artist per month is given. After 12 months, the…

Q: | |m8xy + x)dxdy=3, 0<y<x<1

A: The given equation is ∫∫m8xy+x2 dx dy=3,      0&lt;y&lt;x&lt;1. To find: the value of m.

Q: B)ls w = Ze² analytical function or not?

A: Sufficient condition for differentiability  : Let G be a region in the plane and let u and v be…

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i-3j-k, find vector normal to A and In plane of A and, B.

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Q: Given the following system of linear equations: 2X + Y + 4Z = 16 3X + 2Y + Z=10 X+ 3Y+3Z = 16…

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Q: B)Prove (cose + i sine)" = cosne + i sin ne

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