Numerical Integration: S (2.². (2x² – 3x)dx 2. 2

Q: d²y 5. Consider the differential equation dy 6- +9y = 9x + 3. dx dx² (a) Find the general solution.…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: A triangular sandpit having side lengths 5 m, 4 m and 8 m is to be constructed to a depth of 20 cm.…

A: The volume of a solid is calculated by multiplying the area of the base by the height/depth. The…

Q: Numerical Differentiation: f(x) = ex 1. COS X 2 Find f(1.5) and step size of h=0.75 and 0.1

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Q: Which of the following is not an asymptote of * 4x² y = x²-9 Ox=3 O y = -4 Oy=4 O X=-3 ?

A: To find Which of the given is  not an asymptote of y.

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. In(x+1)³ 3. Lim 3 X→∞0 6x

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Q: A jewelry box is constructed by partitioning a box with a square base as shown in the accompanying…

A: This is a problem of optimization.

Q: Let

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Q: 1 Consider the series (-1)-¹ Σ(−1²+ (x+1)* where b is a given non-zero constant. Find the nb2n 1=0…

A: Infinite series: An infinite series is represented by ∑n=0∞ anx-cn, where an is the coefficient of…

Q: Question 34 Use the following diagram to answer the questions below. Price D Quantity Fill in the…

A: Look at graph and make observations about answer

Q: 3. Suppose A € M5,5 (R) and det(A) = -3. Find each of the following: (a) det(A¹), det (A-¹),…

A: Given  matrix   A∈M5x5  and  det (A) = -3  i.e.    A = -3 (.)  If  any two rows ( columns ) of a…

Q: On January 1, 2022, Marites deposited P15,000 in a bank that offered 2.5% annual interest compounded…

A: Given that, Amount deposited on January 1, 2022 = 15000 rate (r) = 2.5% compounded monthly, So, n=12…

Q: II. Find the determinants or prove the equations in the following. Properties of determinants or…

A: We need to find , determinant of a2 + 2a2a + 112a + 1a + 21331 We will use cofactor method ,  For…

Q: [2 1. If A = 4 4 L5 1 31 1 4 3, find A-1 3 21

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Q: Prove that the sequence {f(1/n)} has a limit if |f'(x)| < 1 for all r € (0, 1]. I

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Q: x(y" + 1) + y² = 0.

A: we have to solve given problems:

Q: Find the 103rd derivative of cos(2x).   Hint: find the first few derivatives and observe a…

A: First find nth derivative then put n=103 to find the 103rd derivative as in next step.

Q: Find the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² 4 and the…

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Q: 39. Using this piecewise function, calculate the cost of someone who used 1,280.25 minutes last…

A: Here given function as fx=45when x≤80045+0.25x-800when x&gt;800 and x is an…

Q: 4- Evaluate the following integral * sin 0 de -5\32 -5√π\32 O 5√n\32 5\32 KIN 0

A: Use Walli's formula to evaluate this integral as in next step.

Q: (20pts) For the function f(x, y) = -xy2, find the solution from x = 0 to x = 1 with an increment of…

A: Solution: Given , y′=-xy2y(0)=1h=0.2 Forth order R-K method 1st iteration :…

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: f( x) = ex - cosx - 2 By Midpoint method f'(a) = (f(a+h) - f(a-h)) /2h

Q: 4. Given z = x-y x+y Find əz/ax

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Q: 2. A tank is filled with 20 gallons of brine in which is dissolved 3 lbs of salt. Brine containing 3…

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Q: 5. Given z arctan (;-), Find az/ay

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Q: Use the washer method together with Simpson's Rule with 4 subintervals to estimate the volume of the…

A: Simpsons ⅓rd rule  (h/2)[g(1)+4g(2)+2g(3)+4g(4)+g(5)]

Q: 3. Let R1 = {(1, 2), (2, 3), (3, 4)} and R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3,…

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Q: K(G) < K'(G) < 8(G).

A: For a graph G ; κ(G)=Vertex connectivityκ'(G)= Edge coonectivityδ(G)=Minimum degree of G

Q: (0,4) C R (-2,0) (-1,0) (1,3) (c) Use the WASHER METHOD to set up a (sum of) definite integral(s)…

A: Divides the region into two subregions.

Q: The Minimum point of y = 8x+4 (x-2)²

A: Use a graphing utility to plot the function. Use the utility to determine the minimum point.

Q: Consider the constrained optimization problem: min f(x), subject to ||||₁ ≤ 1. We apply a projected…

A: As per the question we are given an optimization problem which is to be solved using the projected…

Q: Evaluate. [16si 16sin-4x cos³-4x dx

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Q: II. Solve the following problems. Enclose final answer. 7.Find 2 of z = 2x³-5xy² xy

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Q: Suppose the rule ²[ƒ(-2,−1)+4ƒ(−2,0) + ƒ(−2,1)+ ƒ (2,−1)+4ƒ (2,0)+ƒ(2,1)] applied to 12 solve f(x,y)…

A: Given: The rule, 23f-2,-1+4f-2,0+f-2,1+f2,-1+4f2,0+f2,1 is applied to solve ∫-11∫-22fx,ydxdy.   To…

Q: [2 1 31 1. If A 4 1 1 3, find A-1 L5 4 21 2. Is the formula valid for matrices? explain why? (A + B)…

A: 1)  We have given that , A = 213413542 We need to find , A-1 . To find the inverse matrix, augment…

Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: This is the application of calculus.

Q: 1. Solve for the following quantities given the matrices below. 3 -5 1 L= 0.5 1 3.5 2 0 4 -j3 -3² E=…

A: Solution: Given matrics L=3-510.513.5204E=-j3-32j3ln-j35+j3j123sinj0.2-j0.5jX=133j-72-j5.5-14jj-1159

Q: Find the solution. (4D³-3D + 1)y=0 A y = (₁+₂) ²¹/²+c₂e² Get ® By y = (c₁ + ₁₂x) e */2² + c₂e²r x/2…

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Q: Particular solution of y" - 4y' + 8y = x³, when x = 0, y = 2, y' = 4

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Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: Suppose T: R¹4 → R¹4 is a linear transformation and the rank of T is 10. 2. (a) Determine whether T…

A: The solution is given as

Q: 29. A body temperature of 50°F is placed outdoor where the temperature is 100°F. If after 5 minutes…

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

Q: 1 Find the Hankel transform of xve-ax, taking xJ, (px) as the kernel.

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Q: Table 8.2 Condition for s y = 1/s xy 1.00 x 10 4.00 x 10-² S₁ 3.13 x 10-² 9.77 x 10-¹ S₂ $3 45 2.22…

A: Given the data, to use linear regression to find the y intercept. Then to find the focal length…

Q: 16 Tandem Cycling Triplets Peter, Reeta and Nikita have two ways for getting home from either one or…

A: Since you have asked a question with multiple subparts here, we will solve the first three sub parts…

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: Introduction: A rate of chage is the ratio of two related quantities in different units in…

Q: 1. Find the Laplace transform of the following function using the basic -5t definition and…

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Q: use Newton’s Method to find the root of the given equation, accurate to six decimal places, that…

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: جس دن ہی جا U 0 0 0 1 0 0 1 0 0 +2000 0 0 0 0 0 -1 0 +1000 0 0 0 0 0 0 -1 c. Solve the system of…

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Q: Given: region R below bounded by the graphs of y=√x-3, y = 9 - x, and y = 0. (7,2) R (3,0) (9,0) (a)…

A: We will use integral to find area and volume  Arc length of y=f(x) from x=a to x=b  L=∫ab1+dydx2dx…