Find the following in the form of x + iy ¡2i
Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the…
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Q: 5) USE THE LU FACTORIZATION 20 -3 0 20 - 4 A= b= 1 1 1 02 1 1 -3 4 (COLUMN OPERATIONS) 5 1 2 LAST…
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Q: (a) Find the mass, M, of a solid sphere with radius r = 2 and density function given by f(r.o) = ² =…
A: A solid sphere with radius r=2 and density function given by…
Q: and conversely.
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Q: A ball is dropped from a height of 10
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Q: Simpson's Three-Eighths (Use n = 12) 9. So¹ (3x²+3) dx 10. (2 sin x + 3cos 2x) dx
A: First we find general solutions: 9. ∫13x2+3dx=∫13(x2+1)dx=13∫1(x2+1)dx=13tan-1x +c then…
Q: ts] Consider the series [a, - ² Σα-Στ = 2" 3" +1 (a) Show that the series a, converges by comparing…
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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: Reduce the system to an equivalent triangular system of the form and solve. (D²+1)[x] - 2D[y] = 2t…
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Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw respect to t (dr), with x =…
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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: y'(0) = 1. y'(0) = -0.5 y'(0) = 0. y'(0) = 7. '0) = 0. )) = 4. )) = 2. y₂ (0)=0. x: (0)1 23) 4y"-8y…
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Q: It has been shown that if m divides n, then F is a factor of F. Show that this is true for the…
A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…
Q: Which of the following is cyclic? Justify. a. The set of positive integers under usual addition b.…
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Q: Find the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² 4 and the…
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Q: 7.Find a²z of z = 2x³-5xy² xy
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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x→ 0+ 5
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Q: If F(x) = ["* e¹² dt, find F(1) and F'(x).
A: If y=f(x), then x is called the input, and y is called the output of the function. The derivative…
Q: Using any of the methods discussed for both numerical differentiation and numerical integration…
A: Given: ∫021xdx To find: Definite integral
Q: Problem 1 a. Find the Fourier transform of the given function. f(t) 2A =t+ A, ≤t≤ 0; T 2 f(t) = 0…
A: Given function is f(t)=2Aτt+A, -τ2≤t≤0-2Aτt+A, 0≤t≤τ20, elsewhere Let the…
Q: 3. Using the Gauss-Seidel method make three iterations for the linear system x(0) = 0, 4x - y -z =…
A: Solution :-
Q: Using any of the methods discussed for both numerical differentiation and numerical integration…
A: Given,Integral,I=∫021xdxTo find: Value of given integral using any of the numerical methods
Q: d) must be done using Vector Calculus and the Lagrange multiplier. Optimize: the function f(x, y) =…
A: Given: The function fx,y=49-x2-y2 subject to the constraint x+3y=10. To optimize the function we'll…
Q: Ex. 15. Transform Bessel's equation he sex duy + xảy ((S) x² d²y ²+xdx + (x²-n²) y=0 by substitution…
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Q: 3- the value of * O -15\8 O 15 VT 8 O 15\8 r 7|2
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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…
A: We will sketch the region and also find boundary curve .Then convert every equation into polar curve…
Q: The particular solution of (D³ - 5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0
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Q: 41. Find the interquartile range from this box-and-whisker plot. 10 31 68 80 A. 31 B. 21 C. 58 D. 80
A: We know , Interquartile range = Q3 - Q1
Q: Solve for the following quantities given the matrices below. 3 -5 1 L= 0.5 -1 3.5 2 0 4 3j E= 5.5…
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Q: Compute the volume of the solid that results when the region enclosed by the curves is revolved…
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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: 4-Let (Z12, +12) be a group and let S={4,6}, find subgroup H generated by S. if exist
A: I have used the definition of subgroup generated by a subset.
Q: questions both b
A: Introduction: The formula of the line that passes through the points (x1,y1) and (x2,y2) is given by…
Q: (a) Find the curvature and the radius of curvature of the curve r(t) = 3 cos ti + 4 sin tj + tk at t…
A: Given curve is r→t=3costi^+4sintj^+tk^. We have to find the curvature and the radius of curvature at…
Q: Using any of the methods discussed for both numerical differentiation and numerical integration…
A: Here the stopping criterion is Es = 0.1, so the difference between the actual and approximated value…
Q: Recall the following table, which shows that is a primitive element of the field GF(16)…
A: As per the question we are given a polynomial ring Z2[x] and its quotient ring Z2[x]/(x4+x+1) From…
Q: A 2³-2 design was used to investigate the effect of A = condensation temperature, B = amount of…
A: Since, you posted multiple questions, we will solve 3rd question for you.
Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. In(x+1)³ 3. Lim 3 X→∞0 6x
A: Solution
Q: Q 1-1 9 1 1
A: Introduction: If a function has a finite number of breaks and does not blow up to infinity anywhere,…
Q: 8. Using the Runge-Kutta method of the fourth, solve y" = y + xy', y(0) = 1, y'(0) = 0 to find…
A: We take y'=z the Given equation is y''=y+xz,y(0)=1,y'(0)=0,y(0.2)=?…
Q: 3. Which is NOT the correct statement of a degree of a vertex? B F A) d(E)=6 B) (B) = 4 OC) d (C)-3…
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Q: 5. Let a₁ = √5, (a) Find the recursion formula (b) Assuming the sequence converges find its limit…
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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: 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: Sketch the region bounded by the given lines and curves. Then express the region's area as an…
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Q: Σx-13x2+1+3,5x3 n = 3! 5! 1.3.5.7 7! + (−1)n 1·3· ‚ 1·3·5·7· · · · · (2n − 1) xn + .. (2η − 1)!
A: We have to find the interval of convergence for the given series.
Q: f(x, y) = x² − 4x³ + 2y² + 8xy+1 -
A: According to the guidelines I am answering first question only.
Q: the functions z= 8 e* Iny, x= In (u cos v), dz dz SS and- du as functions of u and v both by using…
A: Introduction: In vector calculus and differential geometry, the partial derivative is used. In…
Q: Stokes' theorem states that [[ (V x F) - ds = f F. dr. Verify Stokes' theorem by calculating both…
A: We will find both sides of integral and compare there values
Q: 7.Find xy of z = 2x³-5xy²
A: ∂2z∂x∂y of z = 2x3-5xy2 This means Partial differentiation of z with respect to y and then with…
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