Give answer of last three questions

Q: P is a point and PM and PN are the perpendiculars from P to z-x and x-y planes. If OP mak angles 0,…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = e¯², y =…

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Q: Given the differential equation: y (4)_2y"+y=xe* Choose All Correct Answers Below A There is…

A: Given differential eqyuation  y4-2y''+y=xex We can also write it as D4-2D2+1y=xex

Q: Problem 4. Let (X, dx) and (Y, dy) be metric spaces. Show that the sup norm metric do we defined on…

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Q: Show that ewler-longronge eq. takes the form d for Variable x #1 (240) = -2/x वा Also find Euler…

A: Please find the attached solution

Q: (iv) d(u, v) (v) angle between u and v. (vi) proj,u

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Q: For the given​ functions, find ​(f◦​g)(x) and ​(g◦​f)(x) and the domain of each. ​f(x)= 2x + 1​,…

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Q: A 5000-seat theater has tickets for sale at $27 and $40. How many tickets should be sold at each…

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Q: A company manufactures Products A, B, and C. Each product is processed in three departments: I, II,…

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Q: Calculate the following limits, or explain why they diverge. 2x² - 2 x1x² - 2x + 1 (c) lim sin x + 3…

A: We know that if limx→∞fx does not exists or infinite then we can say that limit of given function is…

Q: 1. Let f(x) = { **sin²³1/x ifx #0 0 if x=0. (a) Prove that 0 is a local minimum point for f. (b)…

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Q: y +1 Z Find the acute angle between the lines and 1 m n and 1, m, n are the roots of the cubic…

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Q: Find the equation of the line drawn through point (1, 0, 2) to meet the line angles. x+1=2=2+1 at…

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Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: Area of rectangle= Base × Height Base if every rectangle us 1.  Height is 3x1/2

Q: prove that A Sub. treelong powevr 21 L droeb to H dreelans бога b of G if and is a only ; f every…

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Q: how to find number of terms(n) when T1=15, D=3 and sum equals 870

A: The given problem is to find the number of terms when first term T1=15 and common difference d=3 and…

Q: Prove that pork = pur in O₂ if and only if 0 w = 2m for some m€ Z and k = 1 (mod 2)

A: To prove that ρθrk=ρωrl in Ο2 if and only if θ-ω=2πm for some m∈ℤ  and k¯≡ l¯mod 2.

Q: (a) Show that a ring with identity has only one identity element

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Q: The 4D point (2, 3, 4, 5) is, according to the book section 6.4.1, projected to the hyperplane that…

A: please find the attached answer

Q: 6. Let B Rnxn be an arbitrary matrix. Our goal is to prove that there exists a positive integer k…

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Q: compose the following rational expression into partial fraction. 17x-53 x²2x-15

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Q: Represent the product [a* · (b* × c)][m* · (n* × p*)] as a sum of such terms, which contain scalar…

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Q: 2. Using the function f(x) = 2x+cos³ (x) - sin(x) bounded by x = 4 to x = 10 Find the area using…

A: The given problem is to find the area of region bounded by given function and x=4 and x=10 using…

Q: Multiple Choice о O The probability of a 1 bit is 0.6; hence, the required probability is (6)¹0.06.…

A: Solution:- Option third is correct.

Q: What would the image of (1, 2, 3) be under the transformation modeled by 1000 0 1 0 0 0010 1 2 3 1 ?…

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Q: 6. Consider the sequence defined recursively by 1 2 an+1 = an + N an If ao = 1, does the sequence…

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Q: ACTIVITY: Problem Solving (show your solution) 1. Determine which Simpson's Rule you are going to…

A: Given : Time (min) 0 5 10 15 20 25 30 Velocity(m/s) 25 28 32 30 29 26 23 To find :(a)…

Q: Count and describe the subgroups of index 3 of the group Z+ × Z+.

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Q: Four partners are dividing a piece of land that each see as worth $124,000 among themselves. They…

A: Four partners are dividing a piece of land that each see as worth $1,24,000 among themselves. They…

Q: Solve the D.E y' 1 (e-y-x)

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Q: find x, y € Z such that 2261x + 1275y = gcd(2261,1275).

A: we want to find the greatest common factor  we will use Euclid's algorithm 2261=1275×1+986 -----1)…

Q: moltiata C 1. Which of the following sets constitute a vector space? The answer must be in one of…

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Q: A) Let f: R² R² be defined by k 0 f( = = 0 transformation u, where k is a scalar. The k f is called…

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Q: Given the differential equation y" + xy = 0 and assume a solution of the form y = Choose All Correct…

A: Given differential equation is y''+xy=0 The solution is determined as shown in the next step.

Q: Solve the modified Laplace equation with a source term (Poisson's equation!): Uxx = —Q(x), for Q= =…

A: Please find the attached image

Q: Solve the followig non linear. gebraic equation to fined al one non Zevo root. P(x) = Sin [√ Secx +…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: = Apply the Midpoint and Trapezoid Rules to the following integral. Make a table showing the…

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Q: -Solve the above linear system, by using the Gauss-Jordan reduction after you substitute k value…

A: We will apply elementary row operations on augmented matrices.

Q: Let F = {(x, y, z, w) ≤ R¹ : z = x + y, w = -2y-x} = . Which of the following statements is false? O…

A: Given that z= x+ y and w = -2y - x Therefore (x,y,z,w)= (x, y, x +y , -2y -x)…

Q: 1. Let f(x, y) = x² + 2y² and C be the curve along y = x³ from (0, 0) to (2,8). Find each of the…

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Q: Cameron used a coordinate grid to create an image of a bear track, so that he could explain to…

A: Any point in the cartesian coordinate system is defined as x, y.  The horizontal translation is…

Q: Use the method of this section to solve the linear programming problem. P = x - 5y + z 2x + 3y + 2z…

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Q: 5. Let A be a subset of 100, that is, A C {0, 1, 2, 3, ..., 98, 99} with cardinality 10. Show that…

A: We shall use the pigeonhole principle which states that if there are n+1 items and only n boxes then…

Q: ILLUSTRATION 4.60 The plane ax + by = 0 is rotated through an angle o about its line of intersection…

A: Given that the plane ax+by=0 is rotated through an angle α about its line of intersection with the…

Q: Solve the D.E 3 ²√√x 2 2 +y xy√x² X ² + y² 2 + y

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Q: Consider the following initial value problem. y" + 6y' + 25y = 8(t) + 6(t5a), y(0) = 1, y'(0) = 0…

A: Formula of Laplace transformation…

Q: Let V be an F-vector space and A, B, C are subspaces of V. (a) Show that the equation An (B+C) =…

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Q: Determine whether the following statement is true or false: If both matrices A of the size 6 x4 and…

A: False

Q: Solve the Exact differential equation ydx-xdy + 3x³y²e¹¹dx=0

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Q: (c) Find all zero of the rational function. (d)Use the information you obtain above, draw the graph…

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