ax Use the trapezoidal rule with n = 20 trapezoids to evaluate 1 = √₁1+2x Also accurate area of the above using the Integration of Tables and compare the areas fou

Q: QI/A/Find the distance between the line 2x + 3y = 5 and the point (-1,0). ( B/Find by integrating…

A:

Q: Four boys were playing marbles; their names were Gary, Harry, Iggy, and Jack. One of the boys had 9…

A: Gary shot before hary and jack.  Implies Gary <  Harry/ Jack Jack shot before harry implies…

Q: We know three points of a function (2,1), (3, -1) and (-8,1) by simple polynomial interpolation.…

A:

Q: If f(x, y) = x cosy + ye*, find a2f дхду

A: Partial derivative: A partial derivative of a function is defined as the derivative of the function…

Q: QUESTION 1 You own a painting whose dimensions are 11 inches by 14 inches. If you create a slide of…

A: Uniform scaling  is a linear transformation in Euclidean geometry that enlarges (increases) or…

Q: rivial of

A: To find the non trivial of Z8 as,

Q: C. A music teacher has surveyed 515 students. The results of the survey are as follows: 258 students…

A:

Q: Find the Taylor series generated by fat x=a for the following function 1 f(x)=, a=1

A: We have to find the Taylor's series for the given function.

Q: homogeneous boundary value problem Consider nontrivial product solutions u(x, t) = T(t)X(r) # 0 of…

A: We get two ordinary differential equations from this partial differential equation. There need a…

Q: 1. Let a, b E Z such that the remainder in the division of a by b is 140. If 3b has remainder 105 in…

A:

Q: An average cost function is given by the equation AC = 600-640 + 20². m) Find the values of Q at…

A:

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: The given integral is ∫0π sint dt To find: (a) definite integral by Trapezoidal rule and Simpson's…

Q: 4- A thin plate with uniform density is placed in the region bounded by the circle x2 + y2 = 16 in…

A:

Q: Evaluate the following a. [2.5-3×[1.3] b. If {a} is a geometric sequence of non-negative real…

A: We will solve the given problems

Q: Show the surface area and volume of a sphere with radius r is 4nr² and πr-³ respectively.

A:

Q: 2. Prove that a 2 x 2 matrix A with entries in Z26 is invertible if and only if gcd(det(A), 26) = 1.

A:

Q: 1. Given that Zo of z is A. i B. 1

A:

Q: 3t If the Wronskian W of f and g is t²e³t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

A:

Q: 2. Solve the outgoing signal problem Utt-c²uxx=0, x > 0,- -00 <t<∞0; ux(0,t) = s(t), -∞0 < t < 00,…

A: From the above details we have,

Q: Problem 1. Define the sequence a, such that a₁ = 3, a₂ = 5. For each n ≥ 3, an = an−1+2an-2-2. Use…

A:

Q: You name the four corners O,A,B and C. From O you walk due East a distance of 80m to A and at A you…

A: Given that O,A,B and C are four corners and from O one walks towards east covering a distance of 80…

Q: (x² + y2) dx dy ow urves y = x² and

A:

Q: With the warm weather finally here, Mrs. Smith needs to drain the old water out of her pool and…

A: Given: The volume of water, V, (in liters) remaining n the pool t minutes after the draining has…

Q: Vincent wants to build a rectangular vegetable garden with an area of 600 square feet. He has 100…

A: The quadratic equation has many applications in different real life scenarios. Many real life cases…

Q: Congruent Angle Construction

A: Congruent angles :        " Congruent angles are the angles that have equal measure."

Q: 2. Solve the outgoing signal problem Utt- c²uxx=0, x > 0, -∞0 <t<∞0; ux (0,t) = s(t), -∞0 < t < 00,…

A: From the above details we have,

Q: Given l₁ : r = (1, −2,) + t(1,1) and l₂: r = (2,0) + s(-3,-3) determine if land l will intersect or…

A: Let the equation of line L1 be x1=a1+b1t, y1=c1+d1t and the equation of line L2 be x2=a2+b2s,…

Q: Find the volume of the solid below the function z = f(x, y) = y√√x and over the quarter disk of…

A:

Q: * Find the Maclaurin series for the following :function -X e (-x)" 1)(

A:

Q: Q1. Use Cramer's rule to solve for y without solving for the un- knowns x, z, and w. 4x + y + z + w=…

A:

Q: 03: Evaluate the following integrals dx (1) S 2x (1+Vx)

A:

Q: (a) Write 13 as a sum of distinct powers of 2. (b) Use the fast factoring algorithm to compute 213…

A: 13 can be written as a sum of distinct powers  of 2. 2^3=8 2^2=4 2^0=1  2^3 + 2^2 +2^0

Q: (e) 1 sinh z +25 n=1 (-1)" z *2 + n2π2

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

Q: 5. The set P = {a + bi|0 ≤ a < 1,0 ≤ b ≤ 1}

A: (6) Closure P¯  of P is the smallest closed set containing P. Given, P=a+bi | 0≤a&lt;1 , 0≤b≤1

Q: of Given f = xy² In (3y + 2x) + (xy)e™, find dy O None of the choices af ety 3.xy² 3y+2x + (2xy²)…

A:

Q: 1) Give the Interval of existance for the Solution to the initial valve problem. (+²-16)y" + Cos(4+)…

A:

Q: Show the surface area and volume of a sphere with radius r' is 4ær² and är³ respectively.

A: Here we will use concept of revolution to find surface area and volume of sphere  surface area…

Q: If a hollow sphere of radius R is charged with one unit of static electricity, then the field…

A: Continuity is an important property that is exhibited by a real valued function. The necessary…

Q: Solve for the two positive values of x that satisfies the equation ex = 3x² Using the following…

A: Solution:

Q: determine if type of mortgage and home purchased are independent.  Justify your answer by showing…

A: Two event A and B will be independent if  PA∩B=PA×PB

Q: Find the nth term of (a, b, a, b ... ), (a) and .(b) are constants 1-(-1)" 1- (−1)n+1 -[-D" + 2 2 a…

A:

Q: Find Oz/ou and oz/ov for z=4e* ln(y), x=ln(u cos(v)), y = usin(v) at the point (u, v)=(2.7/4).

A:

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: The given equation is 8x2+3y2-176x-42y+1091=0. To Determine: The type of conic equation, and…

Q: Find the Wronskian of two solutions of the differential equation t²y" — t(t − 3)y' + (t − 6)y = 0…

A:

Q: 3. Compute the tangent plane at u = 0 and v=0.

A: Introduction: The formula of the tangent plane of the function f(x,y) at the point a,b is given by,…

Q: ombine the methods of row reduction (row of operations) and cofactor expansion to compute the…

A: INTRODUCTION: The determinant can be thought of as a function with a square matrix as its input and…

Q: Show the surface area and volume of a sphere with radius ris 47r² and ³ respectively.

A:

Q: A page printed must contain 60sq. cm. of printed material. There are to be margins of 5cm. on either…

A: Let us consider the length be l cm and width be b cm of a rectangle Thus, the area of the rectangle…

Q: Q5-Show if the following series are converging or diverge 1) En=1 η10 2) Σ=1 (33) 1 3) En=14 Σ=1 n

A:

Q: 4. Minimize: Z = 3X₁ +5X₂ + 5X3 + 4X4 Subject to: 8X₁ + 2X4 ≤ 100 4X +3X - 90

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…