13. What is the class interval of the data below? Class Frequency 28-30 8 31-33 8 34-36 7 37-39 5 40-42 1 43-45 1 a. 3 b. 2 C. 1 d. 0 14. Solve for Class 28-30 31-33 34-36 37-39 40-42 43-45 a. 30 b. 38 C. 28 d. 25 f. Frequency 8 8 7 5 1 1

Q: Example 10.21. Given y' : x(x² + y²) ex, y(0) = 1, find y at x = 0.1, 0.2 and 0.3 by Taylor's series…

A: Here, we need to use Taylor's series method and Milne's method.

Q: Determine if the system 15x₁ 3x2 5x3 -3 -2x1 14x2 9x3 = 10 -2x1 3x2 6x3 = -12 is diagonally…

A:

Q: Find a power series solution to the differential equation, and determine the radius of convergence,…

A:

Q: 5. Consider that in 1915 that the population in the United States was 100 million. Suppose the…

A:

Q: a. 2 uxx = Иxy - 4uy azu J2u azu ди b. + +4 +3+u = 0 ?х у дуг ?х ?x2 ди c. k = 2 ,k < 0 ду 02u ?хг

A: Classification of the Partial Differential equations

Q: H-w.4 Find the volumes for the following solids whose heights are defined by Z(x,y) and bases are…

A: Volume bounded by xy-plane

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x − 5 at x = 0 using…

A: Given function is y=x2+4x−5. We have to find the first derivative if the given function at x=0 using…

Q: An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5…

A:

Q: Find ther critical point x* of 2 f(x)=312921 22 −5+1 73 +7x₂² +372 73 +6x3² − 3x₁ +3x₂ + 3xg +8…

A: As per the question we are given a quadratic multivariate function f(x) And a constraint g(x) = -8…

Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given that The courier  will deliver  if the length plus girth does not exceed 108 inches.…

Q: VIII. Suppose that f(x) is continuous everywhere and the graph of f'(x) is shown below. Do not…

A:

Q: Write the following English sentences in symbolic form- 1. Birds fly if and only if sky is clear.…

A: We have to write the given sentences in symbolic form.

Q: A ball is drawn at random from a box containing (6) red balls, (4) white balls and (s) bine balls…

A: Given Total number of Red balls = 6 White balls = 4 Blue balls = 5

Q: ² - x ²² = y² dz ४x d²z Find the solution of xy' буду

A:

Q: Test the series for convergence or divergence using the Alternating Series Test. 1 1 1 1 1 In(5)…

A:

Q: 5. Use the binomial expansion and Cauchy's Integral Theorem to evaluate ( с 2n dz Z + -/-/-) where C…

A:

Q: Approximate the following integrals using the following methods. b. [[(x²y + xy²)dydx a. Composite…

A:

Q: [MO23] For the function y = cos x + sin x, determine its a. MacLaurin Series expansion up to fifth…

A:

Q: The function f (z) = |z|+1 O True O False is analytic

A:

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform 0 ≤ t 0) ]de dt

A:

Q: Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral 00…

A: Given function is f(t) = cos(t),0≤t&lt;π0,t≥π

Q: (1 Let f be integrable on [a, b]. Suppose c ER and g: [a+c,b+c] → R such that g(r)=f(z−c), x€[a+cb+c…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 2. Use Squeeze Theorem to evaluate lim sin(sinh x) csch z. 8118

A: 2) use squeeze theorem to evaluate limx→-∞sinsinhx cschx it is known that  -1≤sinsinhx≤1 implies,…

Q: dice In the experiment of throwing two fair let (A) be the event that the is odd, (B) Be the event…

A: Two fair dice are thrown. Let A be the event that the first die is odd and B be the event that the…

Q: ~~ (-1 5-2) Consider the matrix A = -5 5 2 a) Obtain the eigenvectors (V₁, V2, V3) of A. b) Write a…

A: Use the given matrix.

Q: prove that and = nd(n)/2

A:

Q: Find an equation of the surface of revolution by revolving the plane curve 3y = √(9- [(x-1)] ^2)…

A: Given:3y = (9-(x-1)2)

Q: Q1) which of the following sequences is converge or diverge: {m} } . J 10n

A: We want to check the convergence of given sequences.

Q: What is the minimum number of students required in a discrete mathematics class to be sure that at…

A: We solve the given problem in next step.

Q: How many iterations is done in order to find the root of the following using bisection method? f(x)…

A: We have given function f(x)=x4-2x3+x2-3x+3 for[0,5]. We need to find number of iteration is done in…

Q: VIII. Suppose that f(x) is continuous everywhere and the graph of f'(x) is shown below. Do not…

A: 1) since for maximum or minimum values of x of the function f(x) ,f '(x) =0, so for x=4 f has…

Q: Find d(u, v), if u = (2, -4,2,-1,-6) and =(4,-6,2,-1,-6). OA √93-√61 O B. √300 OC √73 OD. V8 O E √32…

A:

Q: Prove that if n is an integer and n³ + 5 is odd, then n is even using a) A proof by contraposition.…

A:

Q: For the equation, 9x² +8/3xy+y²-8=0, complete the following questions. a. Rewrite the equation in a…

A: The general form of a conic equation is Ax2+Bxy+Cy2+Dx+Ey+F=0, where A, B, C are not equal to 0.

Q: is it divergent, convergent or absolutely convergent?

A: We have given a series ,  ∑k=0∞ sin2k+1π2 k3k+1! Here , sin2k + 1π2 = sinkπ + π2 sin2k + 1π2  =…

Q: Q2) Which of the following series is converge or diverge 00 Σ{1} ,0.7777777777777 n=1 . Σ n=1 ΕΙΝ 27

A:

Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given, box is rectangular. Let the shorter side be b (variable for square end) Then according to…

Q: Find the curvature and the radius of curvature at the point t = 0. x = et cos(t), y = e* sin(t), z =…

A: Curvature and radius of converges

Q: Suppose that u, v, and ware vectors such that Evaluate the given expression. u-v-2w, 4u+vi* (u, v) -…

A: The axioms of vector operations are as follows: &lt;u+v, v+w&gt;= &lt;u,v+w&gt;+&lt;v,v+w&gt; &lt;u,…

Q: Apply Milne's method, to find a solution of the differential equation y=x-y² in the range 0≤x≤1 for…

A:

Q: 4. Find f 6x5-25x4 +8x3+43x²-8x-12 (3x4-11x3 +9x²-11x+6) (9x²+12x+16) Ax+B C(3x+2)+D + x²+1 9x²…

A: Solution using partial fraction method

Q: State where the power series is centered. Σ (−1)"(x – 7π)5η (5η)! n = 0

A:

Q: a. In cot(14i) b. (3er) c. z²2z = log(-2), Calculate the value/s of z d. (1-21)7

A: Given: Let's determine the given in  Rectangular form, a) ln cot1-4i b) 3e34πii c) z2-2z=log-2,…

Q: 1. Draw the circuit corresponding to the following expression. (Do not simplify your expression or…

A:

Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

A: Given: x y 2.00 7.2 4.25 7.1 5.25 6.0 7.81 5.0 9.20 3.5 10.60 5.0   To find the…

Q: 10. Prove that 7/2 TC/2- sin 0 cos (cos a cosec 8) de -0 2 (1-cos a).

A:

Q: For which value of k does the matrix have one real eigenvalue of multiplicity 2? k = A = 6 -8 2

A:

Q: Integrate the following functions f(x₁y) = (x-1) R: y=x over the given regions y=x²

A:

Q: Suppose that a function f(x) satisfies the following properties, together with the table of signs…

A: # vertical asymptotes are vertical lines ( parallel to y-axis ) which touches the curve at infinity…

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

A: We want to calculate the limit limx→3(x-3)tan(9-x2)sin2(2x-6) To solve this we use the following…