Q₁ QI Given ap.d.f. Por X70 P(x) = [ find: 0 M₂(t) DE(X) V(X)

Q: 3. How would you find the total volume of the discs shown in the shape below (assume each disc is…

A: The volume of a cylinder is given by V=πr2h Here, r is the radius and h is the height. Now, the area…

Q: let f: R^ -> R be a function given by 2 f(x₁, x₂... x₁) x.x²2. x²n, where = € 2.1 Show that the…

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Q: Use chain rule to differentiate the following 1 y = sec+ (√x+;

A: To find the differentiation using chain rule :-

Q: y = ln x and x - y - 4 = 0

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Q: Using both trapezoidal and Simpson rule, find the approximate values for the integral sin 2² dr; n =…

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn)   Trapezoidal rule:…

Q: 1. The LP problem has an unbounded feasible region A. True B.False 2. How many corner points are…

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Q: (a) Prove the convergence or divergence of each of the following series: 1! +a! +3! + +n! 20+1 2+1 6…

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

Q: Test the series n=17²³+ for convergence or divergence.

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Q: Draw the Has

A: Given: Set A=1, 2, 3, 4, 6, 12, 24. We have to draw the Hasse diagram representing the divisibility…

Q: d) Now find the sum of the areas of n approximating rectangles. Note: your answer will be an…

A: Just use the little bit calculation

Q: 1. Explain why there are no tangents to the curve y = with negative slope. (Explain by 2x+1 4x+3…

A: Given: y=2x+14x+3 To explain: Why there is no tangents to the given curve.

Q: Q1) Let D = M₂ (Z2)be a ring find the order of D and all the idempotent elements.

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Q: (b) Prove that the improper integral ]] 8888 converges. dr dy (1 + x² + y2)3/2

A: Solution: Given improper integral, ∫-∞∞∫-∞∞dxdy1+x2+y232

Q: The function f:P (₂)→Xº for X is a two-element set (0,1) is?. a) Bijective b) Surjective c)…

A: Bijective

Q: (b) Let g(x)=√x with domain {x|x>0}, and let e > 0 be given. For each c > 0, show that there exists…

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Q: A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at…

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Q: A = 5 0 0 0 -6 -1 -1 0060 0 0 -11 -5 - 11

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Q: (c) Let D be a square with sides 0≤x≤ 2 and 0 ≤ y ≤ 2. Estimate the following integral ff (x + 1)"…

A: Solution: Given integral ∬Dx+1ydxdy , 0≤x≤2 & 0≤y≤2 Now, ∬Dx+1ydxdy=∫02∫02x+1ydxdy

Q: (2 − x²) y" + 2xy' – 2y = 0 (a) Verify that y = x is a solution to the above equation. (b) Find the…

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Q: . Determine whether the given pair of graphs is isomorphic. Exhibit an isomorphism or provide a…

A: In this question, the concept of isomorphism is applied. Isomorphism A graph can exist in a variety…

Q: ii) in triple cross of vectors (A × B) × C = C × (B × A). iii) A is 2 x 2 unit matrix, B inverse of…

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Q: /((qz-)spៗ + ] ។

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Q: ) = x² + y² - 8x - 6y subject to the

A: Given that fx,y=x2+y2-8x-6y. First we have to find the extreme point on the domain given in the…

Q: 41. Vertex e is OA) an incident vertex OB) insecure vertex OC) isolated vertex OD) adjacent vertex

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Q: The figure shows the graph of y=ax+b If f(x) = ax+b and g(x)=log3X, find the value of g(f(0)) . 3 B.…

A: Follow the steps.

Q: Use the mid-ordinate rule with four intervals to evaluate the integral Type your final answer below…

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Q: The Redlich-Kwong equation of state is given by a P = RT v-b v(v + b)√T where R = the universal gas…

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Q: Using i of 9%, compare the net present worth of the net expenditures for the two proposed plans and…

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Q: Specify the boundary and interior of the set S in 3-Space whose points (x,y,z) satisfy the given…

A: Given : S = (x, y, z)∈ℝ3 : x≥0, y>0, z<2 To find : (I) The boundary and interior of S,  that…

Q: e. S √ x e √x d x 0

A: The given integral is ∫0∞x4e-xdx To find: the given integration.

Q: dy 1. FIND BY IMPLICIT DIFFERENTIATION: 9x = secy dx dy 2 a) FIND BY IMPLICIT DIFFERENTIATION: x4y³…

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

Q: Use the method for solving Bernoulli equations to solve the following differential equation. dy y =…

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Q: A signal can be formed by running different colored flags up a pole, one above the other. Find the…

A: Permutation: A permutation is an arrangement of the objects or numbers and the order of the…

Q: Find the radius of convergence for EneNZ. n!

A: The given power series is                            ∑n∈ℕnnn!zn We know that if R be the radius of…

Q: Q2: Use Linear Least-Squares Regression to fit the following variables: Xi 1 2 3 4 5 6 7 8 9 10 yi…

A: Given

Q: Find the area of this composite shape. 11 cm 16 cm 4 cm 5 cm 4 cm 4 cm 7 cm 3 cm

A: Let us consider a  rectangle with length L and breadth B then the area of rectangle is  Area of…

Q: e) If a convex function f: R→ R satisfies f(10) = value for f(7)? = -4 and f(20) = 30, what's the…

A: Given that f:R→R is convex function with f10=-4, f20=30.

Q: Change the order of integration (show all steps, including graph) Sax fay+fdx fay 0 -10

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Q: Use the trapezoidal rule with five intervals to evaluate the integral 2 Type your final answer below…

A: The given function is fx=1x2-6x+10 To find: ∫23fxdx by trapezoidal rule.

Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x^sin (3x)

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Q: (a) Assume that g(x, y) is a function of the form 2+y² g(x, y) = 0 if (x, y) = (0,0). (i) Show that…

A: As per our guidelines we are supposed to answer only first question's first 3 subpart. In this case…

Q: Use the trapezoidal rule with five intervals to evaluate the integral i √√√-1da, correct to four…

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Q: 1. Given: y = (3)¹²-9: a. Determine the y-intercept algebraically b. State the asymptote c. State…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: (D²-2D+5)y=e* cos x

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Q: 1 (-1)-1 (ii) 1 +... 5 2n-1 (b) Show that the interval of convergence of the series 1 1 -√2ses.…

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Q: Consider the Recurrence relation an+10an-1+25an-2=0 a1 =17 1) What is the order of the above…

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Q: 45-46. Consider the following graphs. Which of the graphs have an Euler tour? GRAPH A. b n 9 GRAPH…

A: Option is correct i.e. A only

Q: Determine for which values of m the function (x)=x" is a solution to the given equation. 2d²y dy (a)…

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Q: Solve the initial value problem. √y dx + (x-9)dy = 0, y(10) = 49 The solution is (Type an implicit…

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Q: 1. Suppose £50 000 is invested at a nominal interest rate of 5.5% per annum. Interest is calculated…

A: Note : As per our policy, we are allowed to answer only first two parts of question kindly post…